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Algebra Q&A Archive of August 30, 2024

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August 30 of 2024

19. Which of the following lines have a negative slope? I. y+3=0 II. 2x+y=6 III. (y+2)=-4(x-5) A. II only B. III only C. I and III only D. II and III only
The premises (p ^ q) v r and r → s imply which of the conclusion? Select one: a. p v r b. p v s c. p v q d. q v r
The probability of a certain type of permutation, A, can be calculated by dividing the number of ways that event A can occur by the total number of permutations
Let f(x) = 8x - 9 and g(x) = x + 1. Find the following function value. (f - g)(-3) -35 Suggested tutorials:
Question 16 (1 point) 407 No Frills customers were surveyed. This sample represents 9% of the population. What is the approximate population (P)? 4522 36 37 None of the above.
The ratio of union members to nonunion members working for a company is 4 to 3. If there are 147 employees total, how many nonunion members work for the company?
Solve the equation (3)/(x+1)-(1)/(2)=(8)/(3x+3).
If the pitch of a thread is $\frac{1}{18}$ in., how many threads are needed for the threaded section of a pipe to be $2\frac{1}{2}$ in. long?
Find the number which will make these ratios equal: $\frac{4}{8} = \frac{\square}{2}$ A. 0 B. 1 C. 2
Solve application problems using singe variable linear equations A rectangular field is six times as long as it is wide. If the perimeter of the field is 1120 feet, what are the dimensions of the field? A) Write an equation you can use to answer the given question. Let $w$ be the width of the…
4*2^(x)+7=31 x=log $4 \cdot 2^x + 7 = 31$ $x = log$
what is the next image in the sequence?
250 10 250 Xml X 9. How much water do you need to make 4% solution, if you have 16grams of salt?
3. Prove that $7^n - 1$ is a multiple of 6 for all $n \in \mathbb{N}$.
Knowing that 1+3+5+cdots+(2n-1)=n^(2) find 1++3+5+cdots+147=.
What is a logical first step in solving the equation? (a) (x + 4)2 = 49 Simplify the exponential part. Square both sides. Subtract 4 from both sides. Take the positive and negative square roots of both sides. Subtract 49 from both sides. (b) (x + 4)2 + 4 = 49 Subtract 8 from both sides. Take…
which of the following is a factor of u² + uv - 2v² ? 0 (u-v) 0 (u-2v) 0 (2u-v) 0 (u+v)
Question Use cross multiplication to solve the following proportion: $$ \frac{2x-3}{10} = \frac{3x+2}{12} $$ Write your answer as a simplified fraction.
Solve the following expression for t. 7t^(2)+20t+35=99 Solve the following expression for t. $$7t^2+20t+35=99$$
You need to order carpet for a room that has a length that is three times its width. If the area of the room is 147 square feet, find the width of the room. 4 feet 6 feet 7 feet 3 feet 5 feet None of the above.
▼ Part C - Converting square feet to SI units What is the area measurement, 311 (10^6) ft², in SI units? Express your answer in kilometers squared. Round your answer to the correct number of significant figures. ► View Available Hint(s) Ο ΑΣΦΑ 311 (10^6) ft²= vec ? km² ke Bennett…
(d) (1)/(2!)+(2)/(3!)+(3)/(4!)+cdots+(n)/((n+1)!)=1-(1)/((n+1)!) for all ninN. use PMI (d) $\frac{1}{2!}+\frac{2}{3!}+\frac{3}{4!}+\cdots+\frac{n}{(n+1)!}=1-\frac{1}{(n+1)!}$ for all $n \in \mathbb{N}$.
Find a vector x whose image under T, defined by T(x) = Ax, is b, and determine whether x is unique. Let A = $$\begin{bmatrix} 1 & 3 & 8 \\ 2 & 9 & 19 \\ 0 & 1 & 1 \\ -2 & -7 & -17 \end{bmatrix}$$, b = $$\begin{bmatrix} 14 \\ 37 \\ 3 \\ -31 \end{bmatrix}$$. Find a single vector x whose image…
Solve and put answer in interval notation. -4 ≤ 3x - 2 < 6 ㅇ [-,) ○ [-2,) ○ (-∞, -2](-, ∞) ○[,]
Multiply: (4 x 10^-5)(2.6 x 10^5). Enter your answer as an integer or a decimal. Sorry, that's incorrect. Try again? 104.0
Select your answer What is the slope and y-intercept of the line, -2y + 6x = 12? Slope = 6, y-intercept = (0, 12) Slope = -3, y-intercept = (0, 6) Slope = 6, y-intercept = (0, -2) Slope = 3, y-intercept = (0, -6) Get a Hint! Explanation (6 out of 6) Submit
Find the quotient and remainder for the following expression using the division algorithm. 37)718
5. The average of 4, -8, 6, 14, -3 is X 6. Jessica wants to calculate her grade in her accounting class. She h
A partir de los siguientes vectores, crea una combinación lineal de la forma c₁ u₁ + C2 u2 = v. Provee los valores de c₁ & c₂ y el procedimiento que empleaste para obtenerlos. v = $$\begin{bmatrix} 1 \\ 3 \end{bmatrix}$$, u₁ = $$\begin{bmatrix} 1 \\ -1 \end{bmatrix}$$, u₂ = $$\begin{bmatrix} 2…
625^((1)/(4))= 64^((1)/(3))=
27. 32 b° (b + 45)° (2b - 90)° 90° Sum of angle measures: 540°
5 & 3/4 divided by 1/2 reduce. A. 5 & 1/2 B. 2 & 3/8 C. 18 D. 11 & 1/2
Solve for x (x+2)/(x)-(2)/(8)=(-2)/(x)
Determine which pair of terms are like terms. A 3, 3x B 5y<sup>2</sup>, 5x<sup>2</sup> C -4x<sup>2</sup>y, xy<sup>2</sup> D 3xy, 5xy
Evaluate. (-8)^(2)= (-5)^(3)= Evaluate. $$(-8)^2 = \boxed{}$$ $$(-5)^3 = \boxed{}$$
4. The Americans with Disabilities Act (ADA) specifies several requirements for wheelchair ramps, including: • Running Slope: 1:12 maximum slope, or one foot in elevation change for every 12 feet. • Rise: A maximum of 30 inches per run (segment), with no limit on the number of runs. Based on…
Solve: (3a - 10)(2a - 7) = 0. none of these 6 and 12 20 and 21 10 and 7 3 2
The perimeter of a rectangular window is 32 feet. The width of the window is 6 feet more than the length. What are the dimensions of the window? The length of the window is feet.
QUESTION 13 1 POINT Use the graph of the function to find its domain and range. Write the domain and range in interval notation. Note: Use "[]" to include endpoints (closed), "()" to exclude them (open), and combine them "[)" or "(]" when needed in interval notation.
Question 15 Solve: -3x + 2 < 23 ○ [-7, ∞) ○ (-∞, 7) ○ (-∞, 7] ○ (-7, ∞)
Solve the proportion equation. (x)/(52)=(4)/(13) Solve the proportion equation. $$\frac{x}{52} = \frac{4}{13}$$
The identity $$ \frac{1}{x+1} + \frac{a}{x-1} = \frac{-2}{x^2-1} $$ holds when $a$ equals Hint: Simplify the left side of this equation and compare what you get with the right side.
4.11. Compute the natural frequencies and mode shapes of the following system: $$ \begin{bmatrix} 4 & 0 \\ 0 & 1 \end{bmatrix} \ddot{\mathbf{x}}(t) + 10 \begin{bmatrix} 4 & -2 \\ -2 & 1 \end{bmatrix} \mathbf{x}(t) = \mathbf{0} $$
Use polynomial fitting to find the formula for the nth term of the sequence (an)n≥0 which starts, 0,2, 6, 12, 20, ....
en for lover to children 6 months of age up to 2 years, the usual dose is 5 milligram (mg) per kilogram (kg) of body weight when the fever is under 102.5 degrees Fahrenheit. How much medicine would be usual dose for a 18 month old weighing 28 pounds? milligrams
The scores on a test are normally distributed with a mean of 30 and a standard deviation of 6. What is the score that is 2 standard deviations above the mean? A score of is 2 standard deviations above the mean.
Solve for *x* WITHOUT A CALCULATOR. 6^(2*x-2) = 3^(7*x-10) x =
College | Four Brevard Count... -40B-40536-Intermediate Algebra 2.3-Practice K 4 Solve W=3pg - 2px for x. myEFSC x= (Use integers or fractions for any numbers in the
3x+5>=17 -10 -9 -8 -7 -6 -5 4 -3 -2 -1 0 1 2 3 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 ◻ ◻ 11000 % Search
If $(\frac{1}{4})^{-2} = N$, N has the value ○A) $\frac{1}{16}$ ○B) $-\frac{1}{16}$ ○C) 16 ○D) $\frac{1}{8}$ ○E) 8
3.Rewrite the expression |\sqrt(5)-13| without the absolute value. 3. Rewrite the expression $|\sqrt{5}-13|$ without the absolute value.
Given P(x) = 2(x+2)²(4x - 1)(x+3) a. What is the leading term of the polynomial? b. What is the degree of the polynomial? c. Describe the long run behavior? As x→∞, P(x)→ As x→ -∞, P(x)→ d. Find the y_intercept (as an ordered pair) e. List all the zeros, their multiplicities, and whether the…
If $520 is invested for one year at 13% simple interest, how much interest is earned?
6. Using a third-order polynomial constructed by Newton's divided difference method and Lagrange interpolation, find the values of acceleration and displacement when t=13 minutes based on the following table: t(min) 3 4 7 8 15 21 28 34 v (km/min) 19 28 36 39 43 78.9 95.4 122
What is the value of f(-3) in the piecewise function f(x) = { -3x+1 when x > 1 -2x when x = 1 2x-1 when x < 1 -12 -7 2 6 10
Determine which of the following is a solution to the system of inequalities: y < 3x - 5 3x - 4y > 12 ○ (4,1) ○ (0,0) ○ (-1,-6) ○ (5,-5)
QUESTION 1 Dada la EDO $y^2y' = x - 2$ encontrar la solucion general y la ecuacion particular para y (2) = 0 Solucion General y = $\sqrt[3]{3x^2 - 2x + C}$ Solucion particular y (2) = 0 y=$\sqrt[3]{3x^2 - 2x + 6}$ Solucion General y = $\sqrt[3]{\frac{3}{2}x^2 - 6x + C}$ Solucion particular y…
Let p, q and r be the propositions p: I have the flu. q: I miss the final exam. r: I pass the course. Express each of these propositions as a sentence. a) p→ q b) ¬q↔r c) q→¬r d) pVqVr e) (p→¬r) V (q→¬r) f) (p^q) V (¬q^r)
Fill in each blank so that the resulting statement is true. If f(x)=x^(2)-3x+2, it is possible to find f(x+7) by replacing each occurence of [blank] by [blank].
Reduce to canonical form the orthogonal matrix $$O = \begin{pmatrix} 2/3 & -2/3 & 1/3 \\ 2/3 & 1/3 & -2/3 \\ 1/3 & 2/3 & 2/3 \end{pmatrix}$$
HW - Number Theory: Prime and ber 不 Find the prime factorization of the composite number. 175 175 = < Question 12, 5.1.25 >
12. (1 pt) A woman walks 8 miles east, turns left, and walks 16 miles north. What is her resultant displacement?
(+11)+(-7)= q, A. -18 B. -4 C. 0 D. 4 E. 18 (+11)+(-7)=_ A.-18 B. -4 C. 0 D. 4 E. 18
2. a) Determine all possible values of θ, with -π ≤ θ ≤ 3π, given that csc θ = 2√3/√3. 3 marks b) Provide a NEAT sketch of all the values of θ on the coordinate plane. 2 marks
Simplify. (6)/(10-\sqrt(6))
Determine which of the following is a solution to the system of inequalities: y < 3x - 5 3x - 4y > 12 (-1 -6) (0 0) (4 1) (5 -5)
S=(n-2) x 180° m<1=(n-2)x180° polygon? Sum n=? " 7.5 = (n (n-2) x 180° = (5-2)x180 مے 3x180 540 5-540° degree = radian x 180/π Same polygon (5 sides) - m<1=7-2)×180 =
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets $1000 more than D, what is B's share? $1500 None of the above $500 $2000
Rewrite this measurement with a simpler unit, if possible. 9.8 kg·L²·kg kg²·L·s Note: If you can simplify the unit at all, it may be possible to make more than one simplification. Be sure your final answer uses the simplest possible unit.
Rewrite this number in decimal notation without the use of exponents or scientific notation. 5.685 × 10<sup>4</sup> answer =
Write the radical expression using exponents. \root(5)(5^(2)) Write the radical expression using exponents. $\sqrt[5]{5^2}$
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. ☑ Match the polynomial expression on the left with the simplified version on the right. (x-3)² (x + 3)(x-3) x² x²-9 x² +9 x²-6x+9 x² + 6x-9
The orbits of planets are most easily approximated as circles even though they are ellipses. True False
Find the exponential function that passes through (1, -9) and (2, -27).
If $10x \le g(x) \le 5x^4 - 5x^2 + 10$ for all $x$, evaluate $\lim_{x \to 1} g(x)$.
Question 43 The following system has infinitely many solutions. 3x - 6y = 5 12y = 6x - 10 True False
Find the n term of the arithmetic sequence {an} whose initial term a₁ and common difference d are given. What is the fifty-second term? - a₁=√11, d=√11
The division problem 19 ÷ 3 has the following answer. Which fraction could be used to represent the remainder? 6 R1 3) 19 image012567acfc8 (1).gif 1-3 1-6 1-1 3-6
For the algebraic expression: 57 · *x* + 51 Identify the variable(s) Identify the constant(s)
PART 5 - Mathematical Knowledge Which of the following pairs of numbers represents a perfect square and its square root? A 16 and √8 B 25 and √5 C 125 and 25 D 256 and 16
Solve for *y* in the equation below. Round your answer to the nearest hundredth. Do not round any intermediate computations. $$3^{y-6}=15$$
10 Jean goes 385 miles on 14 liters of gas. What was the miles per liter? a. 25 miles/liter b. 26.3 miles/liter c. 27.5 miles/liter d. 27 miles/liter
What is the length of side AB in the triangle below? BC = 5 CA = 3 AB = B A C
Question 5 of 40 The sum of two numbers is 72 while the difference between the numbers is 25. The larger of the numbers is O A) 49 ○ B) 47 $\frac{1}{2}$ ○C) 23 $\frac{1}{2}$ ○ D) 48 ○ E) 48 $\frac{1}{2}$ Go to question: Go Click the Go button. ('Enter' or 'Return' will take you to Question…
Question 5 Conic Sections Equations NOTE: There are two problems on this page - make sure you answer both. 1.) Given the graph below and corresponding information, write the equation for the ellipse. 12 9 6 F(0,3) 3 0 -12 -9 -6 30 -3 3 6 9 12 -6 V(0,-5) -9 -12-
(A v q)' ^ (A ^ q) is a **Contradiction** Select one: O True False
2. The area of a table is 315 in². What is the area of the table in square inches (cm²)?
Completely factor the polynomial: $8x^3 - 24x^2 + 20x^2 - 60x$
Name the greatest common factor, GCF, for: 3x^(4)-9x^(2) Name the greatest common factor, GCF, for: $3x^4 - 9x^2$
i) y=121x^(2)-49 i) $y = 121x^2 - 49$
Find the exact values below. If applicable, click on "Undefined". $cot \frac{5\pi}{6} = \boxed{}$ $sec \frac{5\pi}{6} = \boxed{}$
8x-5x+x=-3 $8x - 5x + x = -3$
7. Challenge: Sometimes an arithmetic sequence may have a pattern that is more difficult to find. Take a look at these numbers: 2, 4, 12, 26, 46, 72, (a) What is the next number? (b) What pattern did you find? Identify thermometric
Solve for y. -12 = -3/8y Simplify your answer as much as possible.
1. What does each equation tell us about smartphone ownership? a. P(17) = 2,320 b. P(-10) = 0
more such lines are there? Why? 1. Draw the graph of $\frac{x}{2} + \frac{y}{3} = 1$. Also, find the points where the line meets the two axes.
Topic: The Quadratic Formula Progress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. Question ID: 660646 A potato is launched into the air at a velocity of 60 feet per second off of a building that is 210…
4i-(13-8i)= (Simplify your answer. Type your answer in the form a + bi.)
Write interval notation for the given graph. -10 Choose the correct interval. Ο Α. (-2,4) OB. (-4,2) OC. (-2,4) OD. [-2,4] 6 4 2 3
Evaluate the sum. (1.269 × 10^5) + (9.146 × 10^4) = 1084.429 Incorrect Answer
In each set of three functions, one will be linear, one will be exponential, and one will be a quadratic function. Explain the nature of change for the function and find an explicit and recursive equation for each. 9. a. x f(x) Type of function and nature of change: 6 64 Explicit…
Find the marked side of each triangle: SOH 32.3 m C a 58° CAH T
17) Two experiments are conducted to measure the acceleration of the same car the first experiment measures the acceleration to be a₁ = 3.2 ± 0.2 m/s². The second experiment measures the acceleration to be a₂ = 3.8 ± 0.5 m/s², are the experimental values statistically the same or…
Considere que p representa el enunciado 16 < 8, en tanto que q representa el enunciado 5 > 4, y r representa el enunciado 17 ≤ 17. Obtenga el valor de verdad del enunciado compuesto proporcionado. 31. p ^ r 33. ~q V ~r 35. (p ^ q) V r 32. p V ~q 34. ~p ^ ~r 36. ~p V (~r V ~q) +
MAT1205 Exam Formula Sheet.pdf must take every exam from a computer using an updated version of Chrome or not use Safari or the Canvas App, because they are not compatible with some c equations and images that you will see on this exam. Please restart your comp re you begin this exam to allow…
Question 30 Find the area of a square with a side length of 7 inches. Include the correct units in your answer. 14 in² 49 in² 128 in² 28 in² 1 pts
Tino's T-shirts is deciding how many hours of labor to hire and how many shirt-making machines to rent. The number of shirts it makes, q, is given by the production function q = f (h, k) = h¹/2k¹/4, where h is the number of labor hours hired and k is the number of machines rented. The…
Sandy 3x + 9 = 6x - 30 3x + 9 = 6x - 30 3 3 x + 3 = 2x - 10 -x -x 3 = x - 10 + 10 + 10 13 = x x = 13 Sara -x - 2 = -4x - 1 -1 -1 x + 2 = 4x + 1 -x -x 2 = 3x + 1 -1 -1 1 = 3x 1 = 3x 3 3 = x x = 3. Sandy and Sara each divided both sides of their equations by a factor and then solved. a. Explain…
Example 1: A 40 lb bag of insecticide covers an area of 6000 ft² of lawn. How much insecticide is needed to cover 22000 ft² of lawn? If we calculate out the exact number of pounds (lbs) of insecticide, we will need lbs. (Include at least 3 decimal places in your answer) If we can only buy…
5. Which of the following is a correct way to represent the fraction $\frac{a}{4}$ as a percent? a ÷ (4 × 100) 25% (100 × 4) ÷ a a ÷ 4 (a × 100) ÷ 4
Question 8 (1 point) ✔ Saved A lady wearing a McDonalds t-shirt with a delicious-looking Big Mac on it asks which fast food restaurant is your favourite. This leads to which type of bias? Non-response bias Measurement bias Response bias Sampling bias
-3(7 * -9) - 7 = -21z + 20 Select an answer Question Help: Video Written Example Message instructor Submit Question
M= $$\begin{bmatrix} y-3 & -2 & 6 \\ 1 & y & -2 \\ -1 & y-1 & y-1 \end{bmatrix}$$ |M|=0. Solve for y
Find the slope. 10 5 -10 -5 0 5 10 2 -2/5 -2/4 -2
1. (20/100) Assignment 4 Equations & Systems of linear equations, Polynomials Divide two polynomials: (x^4 – 8x^3 + 20x^2 − 26x + 12) ÷ (x − 3) 2. (20/100) Solve the equation: 3/4 c^2 + 1/2 c = 3/8 3. (20/100) The total number of calories in 4 burgers and 2 bags of chips is 1,400 calories. The…
Evaluate (-81)^((1)/(2))=
Given the function $f(x) = 5x^2 - 8x + 1$, calculate the following values. $f(-4) = $ $f(-1) = $ $f(0) = $ $f(3) = $
Using the number 34,326, explain the value of the digit in the ten thousands place in relation to the digit in the hundreds place.
In which set(s) of numbers would you find the number 92.092009200092000092... natural number integer whole number ✔ real number irrational number ✔rational number
On Wednesday, a local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday? hamburgers
x=,(7)/(x-1)+(8)/(x+1)=(23)/(x^(2)-1) $\frac{7}{x-1} + \frac{8}{x+1} = \frac{23}{x^2-1}$ $x = $
Speed: A cyclist rides her bike at a speed of 8 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers. Distance traveled in 3…
Find the parametric equation of the line through a parallel to b, using t as the parameter. $$a = \begin{bmatrix} -6 \\ 2 \end{bmatrix}, b = \begin{bmatrix} -7 \\ 5 \end{bmatrix}$$ x = + t (Type an integer or a simplified fraction for each matrix element.)
MATH 1040 - Algebra for College Students 20302 - L08 Online Objective: find the domain of a rational function by factoring. Find the domain of the function. $$f(x) = \frac{2}{x^2 - 81}$$ Level 3 Let's review a concept needed to answer your homework question. The domain of a function is the set…
Consider the set of whole numbers from 1 to 10. List the numbers that meet the condition: greater than six or odd 7,8,9,10 Enter a list of integer or decimal numbers [more..] List the numbers, separated by commas.
What is an extraneous solution? Answers that are solutions to the equations Answers that work for other problems Answers that have infinite solutions Answers that are not really solutions to the equations
F and H are sets of real numbers defined as follows. F= {y y<4} H = {y|y≥7} Write FUH and Fn Husing interval notation. If the set is empty, write Ø. FUH = FOH =
) Aman's age is a factor of 14. Next year his age will be a multiple of 5. How old will he be after 6 years?
TRANSLATING VERBAL EXPRESSIONS INTO EQUATIONS Eight more than seven times a number is equal to four more than five times the number. What is the number? [answer1]
Evaluate the following. Click on "Not a real number" if applicable. (a) (-8) 1 3 =
If a circle has a radius of 3.2 inches, what is the circumference in inches? note: only enter the numerical value with no commas and do not enter the units. Answer:
In the number 6,494, the 4 in the hundreds place is 100 times greater than the 4 in the ones place.
Solve application problems using singe variable linear equations After a 20% reduction, you purchase a new suit for $276. What was the price of the suit before the reduction? A) First write an equation you can use to answer this question. Use z as your variable and express any percents in…
A 10-ft bar of I-beam weighs 203 lb. What is the weight of a 9-ft length?
Example 2: A taxicab charges $1.70 for the first 1/8 mile, and 15 cents for each additional 1/8 miles. What is the cost of a 5 mile trip? The trip will cost $
Determine the number of solutions Line 1: (0,6) (8,7) Line 2: (0,-6) (8,-5)
a) An equation that can be written in the form of Ax + By = C is called a ---Select--- b) The graph of the equation y = 7 ia a ---Select--- c) The graph of the equation x = 10 ia a ---Select--- d) A point where a graph crosses the y-axis is called a ---Select--- e) A point where a graph crosses…
1. Write the following in the form a + ib. a) (-1+i)³. b) $\left| \frac{1+2i}{-2-i} \right|$.
Find all numbers for which the rational expression is not defined. $$\frac{9b^2-13}{14b+27}$$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The rational expression is not defined for b = (Simplify your answer. Use a comma to separate…
3. List Polya's 4 steps for problem solving. There are 7 people in a room once with everyone else. How many handshakes
The negation of the statement: $\exists m \in N$ such that $\forall n \in N$, $m > n$ is: $\forall m \in N$ $\exists n \in N$, $n \le m$ Select one: True False
College | Four Brevard Count... myEFSC 3-40B-40536-Intermediate Algebra 2.3-Practice Solve V=LWH for W . W=
Consider the matrices $$A = \begin{bmatrix} a & b & c & d \\ x & y & z & 0 \\ -3 & 7 & 2 & 11 \\ -1 & 1 & 2 & 10 \end{bmatrix},$$ $$B = \begin{bmatrix} -3 + bx & 7 + by & 2 + bz & 0 \\ a & b & c & d \\ -1 & 1 & 2 & 10 \end{bmatrix}$$ Suppose that det(A) = 3. Find det(2B). Select one: a. 48 b.…
evaluate both sides of divergence theorem for A = ra$_r$ + rcos($\theta$)a$_\theta$ + r$^2$a$_\phi$ through the closed surface 0 ≤ r ≤ 3, 0 ≤ $\theta$ ≤ π, 0 ≤ $\phi$ ≤ $\frac{\pi}{2}$
Question 7: 16 Marks (7.1) Construct the Truth table for the following Boolean function (6) $f(x, y, z) = (x \land z) \lor (x' \land y' \land z) \lor (x \land y)$. Write in the form: x y z $f(x, y, z)$ 0 0 0 ? 0 0 1 ? 0 1 0 ? 0 1 1 ? 1 0 0 ? 1 0 1 ? 1 1 0 ? 1 1 1 ? (7.2) Use a Karnaugh map to…
Give the digits in the tens place and the hundredths place. 59.26
Question 8 Not yet answered Points out of 3.75 Flag question Use the quotient property of logarithms to write the logarithm as a difference of logarithms. Then simplify if possible. log(m^4+n) 1,000 Select one: O a. 4 log m + log n - 3 Ob. log(m^4+n) - 3 O c. 4 log mlog n - 4 O d. 4-4 log mlog…
Exercises in $\mathbb{R}^2$ and $\mathbb{R}^3$ In $\mathbb{R}^2$: 1. Given vectors $v_1 = (1, 2)$ and $v_2 = (3, 6)$, express $u = (4, 8)$ as a linear combination of $v_1$ and $v_2$. 2. For vectors $v_1 = (2, 3)$ and $v_2 = (-1, 0)$, find if it is possible to express $u = (0, 1)$ as a linear…
Diagnostic Factoring Progress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. Match the polynomial on the left with the appropriately factored expression on the…
15 inches to yards 1. 15 inches to yards $\rightarrow$
Suppose Elsa places $2500 in an account that pays 4% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding.
Add the following complex numbers. (8 + 14i) + (9 - 7i) Give your answer in complex standard form a + bi. Provide your answer below:
(9x^(2)y-18xy+36xy^(2))/(6xy)=
The ratio of girls to boys in a math club was 3 : 3. There were 18 boys. How many girls were there in the club?
Find the domain of the given function and state in interval notation. $$f(x) = \frac{x+9}{2-\sqrt{x-8}}$$ Domain:
Example 7: A project on Kickstarter for an iPad stylus raised 1,253% of their goal, raising a total of $313,490 from 7,511 supporters. What was their original goal? The original goal was $ 407951.8 X. Round your answer to the nearest cent.
Question 2 A. Triangle PQR has vertices (2, 3), (4, 5) and (5, 2) respectively. (i) Using a scale 1 cm to I unit on both axes, plot the triangle PQR. [6 marks] (ii) Obtain its image of triangle PQR, P'Q'R' when translated under the vector T = $$\begin{pmatrix} 4 \\ -1 \end{pmatrix}$$. [4…
16 people pooled their money and bought lottery tickets. One ticket won a prize of $481,600. If each person receives an equal share, find out how many dollars each person receives.
Find the quotient and remainder for the following expression using the division algorithm. 58) 1508
Find the value of the combination. c(7,7) Find the value of the combination. C(7, 7)
Determine the equation of the vertical line passing through the point (-7,7).
B+C=60 B-C=40 (B)/(C)=
Solve: $|x-2|=-5$ ○ $x=?$ ○ $x=-5$ or $x=7$ ○ No solution ○ $x=-3$
2. The 14 digits of a debit card are written in the boxes below. If the sum of any three consecutive digits is 18, what is the value of X? X 6 6 6 8 4
If A is 3x3 nonsingular matrix such that $AA^T = A$ and $B = A^{-1}A^T$ then $BB^T = $ Select one: a. I b. I+B c. $B^{-1}$ d. $(B^{-1})^T$
216^(3r+3)=((1)/(6))^(-2r)
Solve. 9|u+4|-8>37
Find the prime factorization of the composite number. 328 328 =
The slope of AB is -2/3. The slope of CD is w/24. Given AB || CD, determine the value of w. Answer as an integer.
32 divided by 8/9. A. 4 & 1/9 B. 4 C. 36 D. 28 & 4/9
Identify the coefficient and the exponent for each term of 2x^5 – 3x. The coefficients are 5 and 1. The exponents are 2 and -3. The coefficients are 2 and -3. The exponents are 5 and 0. The coefficients are 2 and -3. The exponents are 5 and 1. The coefficients are 2 and 3. The exponents are 5…
Where does the polynomial y = x² + 3x + 2 cross the x-axis? (1, 0) and (0, 1) (1, 0) and (2, 0) (-1, 0) and (-2, 0) (1, 2) and (2, 3) (-2, 0) and (0, 3) Save Answer
Rewrite this number in appropriate scientific notation: 7,713,000 answer = Rewrite this number in appropriate scientific notation: 7,713,000 answer =
Solve application problems using singe variable linear equations The following equation: $$P = 135t + 2000$$ gives the total population, P, of a small city t years after 2019. Use the equation to determine when (what year) the population reached a population of 3485 people. Answer: The…
If you answered 49 questions on an exam correctly and scored 71%, how many total questions were on the exam? questions
© Macmillan Learning percentage of salt: A mixture is made by combining 1.67 lb of salt and 4.22 lb of water. What is the percentage of salt (by mass) in this mixture?
The veto of a congressional bill by the president by retaining it until Congress is no longer in session, neither signing nor vetoing it, is called a(n): • pocket veto O implied veto ☐ veto by implication Oline item veto Question 56 1 pts What is the name of the publication for cases from the…
Which subset of real numbers is the smallest? Which subset of real numbers is the smallest?
Use the given preference table to determine which candidate wins using the plurality method. Write the letter of the corresponding candidate. If there is no winner, write "N" for your answer. Preference Table for…
Macmillan Learning Perform the calculation using the correct order of operations. 4.05/0.32 - (18.88 - 0.4 + 47.13) = TOOLS x10^
9. (2 pts) Given the hypotenuse = 10 m, angle a = 30°, find the opposite and adjacent sides.
Complete the set builder notation for the set of real numbers less than or equal to 81. $\{x|x$ }
Express the following number as a decimal rounded to three significant digits. 17 99
Example 6: Out of 230 racers who started the marathon, 212 completed the race, 14 gave up, and 4 were disqualified. What percentage did not complete the marathon? The percentage that did not complete the marathon is % Round your answer to the nearest tenth of a percent.
Question 7 (1 point) ✔ Saved Steve is at a conference about climate change, wherein world leaders are discussing ways to improve the climate situation on our beautiful planet. He, personally, does not believe that climate change is anthropogenically driven - even though 97% - 98% of scientists…
2. Show that a) $$ \overline{z_1 + z_2} = \overline{z_1} + \overline{z_2} $$ for any two complex numbers $$z_1 = x_1 + iy_1$$, and $$z_2 = x_2 + iy_2$$. b) Re(iz) = -Im(z), for every complex number zx + iy. c) arg($\frac{z_1}{z_2}$) = arg($z_1$) - arg($z_2$). (4) (2) (5)
d. $x_1 + 2x_2 - x_3 = 1$ $2x_1 - x_2 + x_3 = 3$ $-x_1 + 2x_2 + 3x_3 = 7$
Question 17 (1 point) Which of the following is a double-barreled question? Do you like your teacher for this course? Do you like this course? Do you like the teacher for this course and the course itself? Non-electric vehicles are bad for the environment - do you own an electric vehicle?
Multiple-choice questions: Questions from Chapter 1: Our Place in the Universe Reading Astronomy News Article: Breakthrough: Scientists Detect Einsteins's Gravity Ripples (Found on page 15 in the textbook.) (1) See Ch. 1, Reading Astronomy News, Question 1. A. The one that states: ''Suggest…
Solve single variable linear equations Solve for *x*: 0.25(*x* + 50) - 0.03(*x* - 60) = 9.9
1 2 3 4 The first four figures of a pattern are shown in the diagram above. If the pattern continues, how many cubes will there be in figure 16 of the pattern?
4. Milo was making pancakes for his family. Every pancake contains ½ cup of flour. If Milo makes 12 pancakes, how much flour is needed?
A motorcycle has a 17.0 hp engine. How many joules per second are produced by the engine? 17.0 hp = 12676.9 How many calories per hour are produced by the engine? 17.0 hp = TOOLS x10^
Compute the following (over Z2[x]) (a) x3(x2 + x + 1) (mod x3 - 1). (b) (x2 + 1)2 (mod x3 - 1)
Example 1.1.2: Approximate $$\frac{\pi - 1.7^2}{1.1 + \sqrt{3}}$$ to the nearest hundredth.
Question 9 (1 point) Which of the following sampling techniques is most likely to have methodology that has not been developed to prevent bias? Multi-Stage Sampling Convenience Sampling Simple Random Sampling Cluster Sampling
log,(1)/(216)=-3
Exponents and Polynomials Progress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. ☑ Match the polynomial on the left with the corresponding polynomial on the right. Add: (2x² + 3x-1) + (x² - 2x + 3) Find the…
4. (20/100) A rectangular garden has a length that is 3 meters more than twice its width. The area of the garden is 200 square meters. Find the dimensions of the garden. 5. (20/100) Simplify: $$ \frac{18d^2+77d-18}{27d^2-15d+2} \div \frac{3d^2+29d-44}{9d^2-15d+4} $$
It is estimated that the annual cost of driving a certain new car is given by the formula $$C = 0.32m + 2,700$$ where *m* represents the number of miles driven per year and *C* is the cost in dollars. A teacher has purchased such a car and decides to budget between $6,220 and $7,820 for next…
19. Which of the following lines have a negative slope? I. y+3=0 II. 2x+y=6 III. (y+2)=-4(x-5) A. II only B. III only C. I and III only D. II and III only
The premises (p ^ q) v r and r → s imply which of the conclusion? Select one: a. p v r b. p v s c. p v q d. q v r
The probability of a certain type of permutation, A, can be calculated by dividing the number of ways that event A can occur by the total number of permutations
Let f(x) = 8x - 9 and g(x) = x + 1. Find the following function value. (f - g)(-3) -35 Suggested tutorials:
Question 16 (1 point) 407 No Frills customers were surveyed. This sample represents 9% of the population. What is the approximate population (P)? 4522 36 37 None of the above.
The ratio of union members to nonunion members working for a company is 4 to 3. If there are 147 employees total, how many nonunion members work for the company?
Solve the equation (3)/(x+1)-(1)/(2)=(8)/(3x+3).
If the pitch of a thread is $\frac{1}{18}$ in., how many threads are needed for the threaded section of a pipe to be $2\frac{1}{2}$ in. long?
Find the number which will make these ratios equal: $\frac{4}{8} = \frac{\square}{2}$ A. 0 B. 1 C. 2
Solve application problems using singe variable linear equations A rectangular field is six times as long as it is wide. If the perimeter of the field is 1120 feet, what are the dimensions of the field? A) Write an equation you can use to answer the given question. Let $w$ be the width of the…
4*2^(x)+7=31 x=log $4 \cdot 2^x + 7 = 31$ $x = log$
what is the next image in the sequence?
250 10 250 Xml X 9. How much water do you need to make 4% solution, if you have 16grams of salt?
3. Prove that $7^n - 1$ is a multiple of 6 for all $n \in \mathbb{N}$.
Knowing that 1+3+5+cdots+(2n-1)=n^(2) find 1++3+5+cdots+147=.
What is a logical first step in solving the equation? (a) (x + 4)2 = 49 Simplify the exponential part. Square both sides. Subtract 4 from both sides. Take the positive and negative square roots of both sides. Subtract 49 from both sides. (b) (x + 4)2 + 4 = 49 Subtract 8 from both sides. Take…
which of the following is a factor of u² + uv - 2v² ? 0 (u-v) 0 (u-2v) 0 (2u-v) 0 (u+v)
Question Use cross multiplication to solve the following proportion: $$ \frac{2x-3}{10} = \frac{3x+2}{12} $$ Write your answer as a simplified fraction.
Solve the following expression for t. 7t^(2)+20t+35=99 Solve the following expression for t. $$7t^2+20t+35=99$$
You need to order carpet for a room that has a length that is three times its width. If the area of the room is 147 square feet, find the width of the room. 4 feet 6 feet 7 feet 3 feet 5 feet None of the above.
▼ Part C - Converting square feet to SI units What is the area measurement, 311 (10^6) ft², in SI units? Express your answer in kilometers squared. Round your answer to the correct number of significant figures. ► View Available Hint(s) Ο ΑΣΦΑ 311 (10^6) ft²= vec ? km² ke Bennett…
(d) (1)/(2!)+(2)/(3!)+(3)/(4!)+cdots+(n)/((n+1)!)=1-(1)/((n+1)!) for all ninN. use PMI (d) $\frac{1}{2!}+\frac{2}{3!}+\frac{3}{4!}+\cdots+\frac{n}{(n+1)!}=1-\frac{1}{(n+1)!}$ for all $n \in \mathbb{N}$.
Find a vector x whose image under T, defined by T(x) = Ax, is b, and determine whether x is unique. Let A = $$\begin{bmatrix} 1 & 3 & 8 \\ 2 & 9 & 19 \\ 0 & 1 & 1 \\ -2 & -7 & -17 \end{bmatrix}$$, b = $$\begin{bmatrix} 14 \\ 37 \\ 3 \\ -31 \end{bmatrix}$$. Find a single vector x whose image…
Solve and put answer in interval notation. -4 ≤ 3x - 2 < 6 ㅇ [-,) ○ [-2,) ○ (-∞, -2](-, ∞) ○[,]
Multiply: (4 x 10^-5)(2.6 x 10^5). Enter your answer as an integer or a decimal. Sorry, that's incorrect. Try again? 104.0
Select your answer What is the slope and y-intercept of the line, -2y + 6x = 12? Slope = 6, y-intercept = (0, 12) Slope = -3, y-intercept = (0, 6) Slope = 6, y-intercept = (0, -2) Slope = 3, y-intercept = (0, -6) Get a Hint! Explanation (6 out of 6) Submit
Find the quotient and remainder for the following expression using the division algorithm. 37)718
5. The average of 4, -8, 6, 14, -3 is X 6. Jessica wants to calculate her grade in her accounting class. She h
A partir de los siguientes vectores, crea una combinación lineal de la forma c₁ u₁ + C2 u2 = v. Provee los valores de c₁ & c₂ y el procedimiento que empleaste para obtenerlos. v = $$\begin{bmatrix} 1 \\ 3 \end{bmatrix}$$, u₁ = $$\begin{bmatrix} 1 \\ -1 \end{bmatrix}$$, u₂ = $$\begin{bmatrix} 2…
625^((1)/(4))= 64^((1)/(3))=
27. 32 b° (b + 45)° (2b - 90)° 90° Sum of angle measures: 540°
5 & 3/4 divided by 1/2 reduce. A. 5 & 1/2 B. 2 & 3/8 C. 18 D. 11 & 1/2
Solve for x (x+2)/(x)-(2)/(8)=(-2)/(x)
Determine which pair of terms are like terms. A 3, 3x B 5y<sup>2</sup>, 5x<sup>2</sup> C -4x<sup>2</sup>y, xy<sup>2</sup> D 3xy, 5xy
Evaluate. (-8)^(2)= (-5)^(3)= Evaluate. $$(-8)^2 = \boxed{}$$ $$(-5)^3 = \boxed{}$$
4. The Americans with Disabilities Act (ADA) specifies several requirements for wheelchair ramps, including: • Running Slope: 1:12 maximum slope, or one foot in elevation change for every 12 feet. • Rise: A maximum of 30 inches per run (segment), with no limit on the number of runs. Based on…
Solve: (3a - 10)(2a - 7) = 0. none of these 6 and 12 20 and 21 10 and 7 3 2
The perimeter of a rectangular window is 32 feet. The width of the window is 6 feet more than the length. What are the dimensions of the window? The length of the window is feet.
QUESTION 13 1 POINT Use the graph of the function to find its domain and range. Write the domain and range in interval notation. Note: Use "[]" to include endpoints (closed), "()" to exclude them (open), and combine them "[)" or "(]" when needed in interval notation.
Question 15 Solve: -3x + 2 < 23 ○ [-7, ∞) ○ (-∞, 7) ○ (-∞, 7] ○ (-7, ∞)
Solve the proportion equation. (x)/(52)=(4)/(13) Solve the proportion equation. $$\frac{x}{52} = \frac{4}{13}$$
The identity $$ \frac{1}{x+1} + \frac{a}{x-1} = \frac{-2}{x^2-1} $$ holds when $a$ equals Hint: Simplify the left side of this equation and compare what you get with the right side.
4.11. Compute the natural frequencies and mode shapes of the following system: $$ \begin{bmatrix} 4 & 0 \\ 0 & 1 \end{bmatrix} \ddot{\mathbf{x}}(t) + 10 \begin{bmatrix} 4 & -2 \\ -2 & 1 \end{bmatrix} \mathbf{x}(t) = \mathbf{0} $$
Use polynomial fitting to find the formula for the nth term of the sequence (an)n≥0 which starts, 0,2, 6, 12, 20, ....
en for lover to children 6 months of age up to 2 years, the usual dose is 5 milligram (mg) per kilogram (kg) of body weight when the fever is under 102.5 degrees Fahrenheit. How much medicine would be usual dose for a 18 month old weighing 28 pounds? milligrams
The scores on a test are normally distributed with a mean of 30 and a standard deviation of 6. What is the score that is 2 standard deviations above the mean? A score of is 2 standard deviations above the mean.
Solve for *x* WITHOUT A CALCULATOR. 6^(2*x-2) = 3^(7*x-10) x =
College | Four Brevard Count... -40B-40536-Intermediate Algebra 2.3-Practice K 4 Solve W=3pg - 2px for x. myEFSC x= (Use integers or fractions for any numbers in the
3x+5>=17 -10 -9 -8 -7 -6 -5 4 -3 -2 -1 0 1 2 3 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 ◻ ◻ 11000 % Search
If $(\frac{1}{4})^{-2} = N$, N has the value ○A) $\frac{1}{16}$ ○B) $-\frac{1}{16}$ ○C) 16 ○D) $\frac{1}{8}$ ○E) 8
3.Rewrite the expression |\sqrt(5)-13| without the absolute value. 3. Rewrite the expression $|\sqrt{5}-13|$ without the absolute value.
Given P(x) = 2(x+2)²(4x - 1)(x+3) a. What is the leading term of the polynomial? b. What is the degree of the polynomial? c. Describe the long run behavior? As x→∞, P(x)→ As x→ -∞, P(x)→ d. Find the y_intercept (as an ordered pair) e. List all the zeros, their multiplicities, and whether the…
If $520 is invested for one year at 13% simple interest, how much interest is earned?
6. Using a third-order polynomial constructed by Newton's divided difference method and Lagrange interpolation, find the values of acceleration and displacement when t=13 minutes based on the following table: t(min) 3 4 7 8 15 21 28 34 v (km/min) 19 28 36 39 43 78.9 95.4 122
What is the value of f(-3) in the piecewise function f(x) = { -3x+1 when x > 1 -2x when x = 1 2x-1 when x < 1 -12 -7 2 6 10
Determine which of the following is a solution to the system of inequalities: y < 3x - 5 3x - 4y > 12 ○ (4,1) ○ (0,0) ○ (-1,-6) ○ (5,-5)
QUESTION 1 Dada la EDO $y^2y' = x - 2$ encontrar la solucion general y la ecuacion particular para y (2) = 0 Solucion General y = $\sqrt[3]{3x^2 - 2x + C}$ Solucion particular y (2) = 0 y=$\sqrt[3]{3x^2 - 2x + 6}$ Solucion General y = $\sqrt[3]{\frac{3}{2}x^2 - 6x + C}$ Solucion particular y…
Let p, q and r be the propositions p: I have the flu. q: I miss the final exam. r: I pass the course. Express each of these propositions as a sentence. a) p→ q b) ¬q↔r c) q→¬r d) pVqVr e) (p→¬r) V (q→¬r) f) (p^q) V (¬q^r)
Fill in each blank so that the resulting statement is true. If f(x)=x^(2)-3x+2, it is possible to find f(x+7) by replacing each occurence of [blank] by [blank].
Reduce to canonical form the orthogonal matrix $$O = \begin{pmatrix} 2/3 & -2/3 & 1/3 \\ 2/3 & 1/3 & -2/3 \\ 1/3 & 2/3 & 2/3 \end{pmatrix}$$
HW - Number Theory: Prime and ber 不 Find the prime factorization of the composite number. 175 175 = < Question 12, 5.1.25 >
12. (1 pt) A woman walks 8 miles east, turns left, and walks 16 miles north. What is her resultant displacement?
(+11)+(-7)= q, A. -18 B. -4 C. 0 D. 4 E. 18 (+11)+(-7)=_ A.-18 B. -4 C. 0 D. 4 E. 18
2. a) Determine all possible values of θ, with -π ≤ θ ≤ 3π, given that csc θ = 2√3/√3. 3 marks b) Provide a NEAT sketch of all the values of θ on the coordinate plane. 2 marks
Simplify. (6)/(10-\sqrt(6))
Determine which of the following is a solution to the system of inequalities: y < 3x - 5 3x - 4y > 12 (-1 -6) (0 0) (4 1) (5 -5)
S=(n-2) x 180° m<1=(n-2)x180° polygon? Sum n=? " 7.5 = (n (n-2) x 180° = (5-2)x180 مے 3x180 540 5-540° degree = radian x 180/π Same polygon (5 sides) - m<1=7-2)×180 =
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets $1000 more than D, what is B's share? $1500 None of the above $500 $2000
Rewrite this measurement with a simpler unit, if possible. 9.8 kg·L²·kg kg²·L·s Note: If you can simplify the unit at all, it may be possible to make more than one simplification. Be sure your final answer uses the simplest possible unit.
Rewrite this number in decimal notation without the use of exponents or scientific notation. 5.685 × 10<sup>4</sup> answer =
Write the radical expression using exponents. \root(5)(5^(2)) Write the radical expression using exponents. $\sqrt[5]{5^2}$
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. ☑ Match the polynomial expression on the left with the simplified version on the right. (x-3)² (x + 3)(x-3) x² x²-9 x² +9 x²-6x+9 x² + 6x-9
The orbits of planets are most easily approximated as circles even though they are ellipses. True False
Find the exponential function that passes through (1, -9) and (2, -27).
If $10x \le g(x) \le 5x^4 - 5x^2 + 10$ for all $x$, evaluate $\lim_{x \to 1} g(x)$.
Question 43 The following system has infinitely many solutions. 3x - 6y = 5 12y = 6x - 10 True False
Find the n term of the arithmetic sequence {an} whose initial term a₁ and common difference d are given. What is the fifty-second term? - a₁=√11, d=√11
The division problem 19 ÷ 3 has the following answer. Which fraction could be used to represent the remainder? 6 R1 3) 19 image012567acfc8 (1).gif 1-3 1-6 1-1 3-6
For the algebraic expression: 57 · *x* + 51 Identify the variable(s) Identify the constant(s)
PART 5 - Mathematical Knowledge Which of the following pairs of numbers represents a perfect square and its square root? A 16 and √8 B 25 and √5 C 125 and 25 D 256 and 16
Solve for *y* in the equation below. Round your answer to the nearest hundredth. Do not round any intermediate computations. $$3^{y-6}=15$$
10 Jean goes 385 miles on 14 liters of gas. What was the miles per liter? a. 25 miles/liter b. 26.3 miles/liter c. 27.5 miles/liter d. 27 miles/liter
What is the length of side AB in the triangle below? BC = 5 CA = 3 AB = B A C
Question 5 of 40 The sum of two numbers is 72 while the difference between the numbers is 25. The larger of the numbers is O A) 49 ○ B) 47 $\frac{1}{2}$ ○C) 23 $\frac{1}{2}$ ○ D) 48 ○ E) 48 $\frac{1}{2}$ Go to question: Go Click the Go button. ('Enter' or 'Return' will take you to Question…
Question 5 Conic Sections Equations NOTE: There are two problems on this page - make sure you answer both. 1.) Given the graph below and corresponding information, write the equation for the ellipse. 12 9 6 F(0,3) 3 0 -12 -9 -6 30 -3 3 6 9 12 -6 V(0,-5) -9 -12-
(A v q)' ^ (A ^ q) is a **Contradiction** Select one: O True False
2. The area of a table is 315 in². What is the area of the table in square inches (cm²)?
Completely factor the polynomial: $8x^3 - 24x^2 + 20x^2 - 60x$
Name the greatest common factor, GCF, for: 3x^(4)-9x^(2) Name the greatest common factor, GCF, for: $3x^4 - 9x^2$
i) y=121x^(2)-49 i) $y = 121x^2 - 49$
Find the exact values below. If applicable, click on "Undefined". $cot \frac{5\pi}{6} = \boxed{}$ $sec \frac{5\pi}{6} = \boxed{}$
8x-5x+x=-3 $8x - 5x + x = -3$
7. Challenge: Sometimes an arithmetic sequence may have a pattern that is more difficult to find. Take a look at these numbers: 2, 4, 12, 26, 46, 72, (a) What is the next number? (b) What pattern did you find? Identify thermometric
Solve for y. -12 = -3/8y Simplify your answer as much as possible.
1. What does each equation tell us about smartphone ownership? a. P(17) = 2,320 b. P(-10) = 0
more such lines are there? Why? 1. Draw the graph of $\frac{x}{2} + \frac{y}{3} = 1$. Also, find the points where the line meets the two axes.
Topic: The Quadratic Formula Progress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. Question ID: 660646 A potato is launched into the air at a velocity of 60 feet per second off of a building that is 210…
4i-(13-8i)= (Simplify your answer. Type your answer in the form a + bi.)
Write interval notation for the given graph. -10 Choose the correct interval. Ο Α. (-2,4) OB. (-4,2) OC. (-2,4) OD. [-2,4] 6 4 2 3
Evaluate the sum. (1.269 × 10^5) + (9.146 × 10^4) = 1084.429 Incorrect Answer
In each set of three functions, one will be linear, one will be exponential, and one will be a quadratic function. Explain the nature of change for the function and find an explicit and recursive equation for each. 9. a. x f(x) Type of function and nature of change: 6 64 Explicit…
Find the marked side of each triangle: SOH 32.3 m C a 58° CAH T
17) Two experiments are conducted to measure the acceleration of the same car the first experiment measures the acceleration to be a₁ = 3.2 ± 0.2 m/s². The second experiment measures the acceleration to be a₂ = 3.8 ± 0.5 m/s², are the experimental values statistically the same or…
Considere que p representa el enunciado 16 < 8, en tanto que q representa el enunciado 5 > 4, y r representa el enunciado 17 ≤ 17. Obtenga el valor de verdad del enunciado compuesto proporcionado. 31. p ^ r 33. ~q V ~r 35. (p ^ q) V r 32. p V ~q 34. ~p ^ ~r 36. ~p V (~r V ~q) +
MAT1205 Exam Formula Sheet.pdf must take every exam from a computer using an updated version of Chrome or not use Safari or the Canvas App, because they are not compatible with some c equations and images that you will see on this exam. Please restart your comp re you begin this exam to allow…
Question 30 Find the area of a square with a side length of 7 inches. Include the correct units in your answer. 14 in² 49 in² 128 in² 28 in² 1 pts
Tino's T-shirts is deciding how many hours of labor to hire and how many shirt-making machines to rent. The number of shirts it makes, q, is given by the production function q = f (h, k) = h¹/2k¹/4, where h is the number of labor hours hired and k is the number of machines rented. The…
Sandy 3x + 9 = 6x - 30 3x + 9 = 6x - 30 3 3 x + 3 = 2x - 10 -x -x 3 = x - 10 + 10 + 10 13 = x x = 13 Sara -x - 2 = -4x - 1 -1 -1 x + 2 = 4x + 1 -x -x 2 = 3x + 1 -1 -1 1 = 3x 1 = 3x 3 3 = x x = 3. Sandy and Sara each divided both sides of their equations by a factor and then solved. a. Explain…
Example 1: A 40 lb bag of insecticide covers an area of 6000 ft² of lawn. How much insecticide is needed to cover 22000 ft² of lawn? If we calculate out the exact number of pounds (lbs) of insecticide, we will need lbs. (Include at least 3 decimal places in your answer) If we can only buy…
5. Which of the following is a correct way to represent the fraction $\frac{a}{4}$ as a percent? a ÷ (4 × 100) 25% (100 × 4) ÷ a a ÷ 4 (a × 100) ÷ 4
Question 8 (1 point) ✔ Saved A lady wearing a McDonalds t-shirt with a delicious-looking Big Mac on it asks which fast food restaurant is your favourite. This leads to which type of bias? Non-response bias Measurement bias Response bias Sampling bias
-3(7 * -9) - 7 = -21z + 20 Select an answer Question Help: Video Written Example Message instructor Submit Question
M= $$\begin{bmatrix} y-3 & -2 & 6 \\ 1 & y & -2 \\ -1 & y-1 & y-1 \end{bmatrix}$$ |M|=0. Solve for y
Find the slope. 10 5 -10 -5 0 5 10 2 -2/5 -2/4 -2
1. (20/100) Assignment 4 Equations & Systems of linear equations, Polynomials Divide two polynomials: (x^4 – 8x^3 + 20x^2 − 26x + 12) ÷ (x − 3) 2. (20/100) Solve the equation: 3/4 c^2 + 1/2 c = 3/8 3. (20/100) The total number of calories in 4 burgers and 2 bags of chips is 1,400 calories. The…
Evaluate (-81)^((1)/(2))=
Given the function $f(x) = 5x^2 - 8x + 1$, calculate the following values. $f(-4) = $ $f(-1) = $ $f(0) = $ $f(3) = $
Using the number 34,326, explain the value of the digit in the ten thousands place in relation to the digit in the hundreds place.
In which set(s) of numbers would you find the number 92.092009200092000092... natural number integer whole number ✔ real number irrational number ✔rational number
On Wednesday, a local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday? hamburgers
x=,(7)/(x-1)+(8)/(x+1)=(23)/(x^(2)-1) $\frac{7}{x-1} + \frac{8}{x+1} = \frac{23}{x^2-1}$ $x = $
Speed: A cyclist rides her bike at a speed of 8 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers. Distance traveled in 3…
Find the parametric equation of the line through a parallel to b, using t as the parameter. $$a = \begin{bmatrix} -6 \\ 2 \end{bmatrix}, b = \begin{bmatrix} -7 \\ 5 \end{bmatrix}$$ x = + t (Type an integer or a simplified fraction for each matrix element.)
MATH 1040 - Algebra for College Students 20302 - L08 Online Objective: find the domain of a rational function by factoring. Find the domain of the function. $$f(x) = \frac{2}{x^2 - 81}$$ Level 3 Let's review a concept needed to answer your homework question. The domain of a function is the set…
Consider the set of whole numbers from 1 to 10. List the numbers that meet the condition: greater than six or odd 7,8,9,10 Enter a list of integer or decimal numbers [more..] List the numbers, separated by commas.
What is an extraneous solution? Answers that are solutions to the equations Answers that work for other problems Answers that have infinite solutions Answers that are not really solutions to the equations
F and H are sets of real numbers defined as follows. F= {y y<4} H = {y|y≥7} Write FUH and Fn Husing interval notation. If the set is empty, write Ø. FUH = FOH =
) Aman's age is a factor of 14. Next year his age will be a multiple of 5. How old will he be after 6 years?
TRANSLATING VERBAL EXPRESSIONS INTO EQUATIONS Eight more than seven times a number is equal to four more than five times the number. What is the number? [answer1]
Evaluate the following. Click on "Not a real number" if applicable. (a) (-8) 1 3 =
If a circle has a radius of 3.2 inches, what is the circumference in inches? note: only enter the numerical value with no commas and do not enter the units. Answer:
In the number 6,494, the 4 in the hundreds place is 100 times greater than the 4 in the ones place.
Solve application problems using singe variable linear equations After a 20% reduction, you purchase a new suit for $276. What was the price of the suit before the reduction? A) First write an equation you can use to answer this question. Use z as your variable and express any percents in…
A 10-ft bar of I-beam weighs 203 lb. What is the weight of a 9-ft length?
Example 2: A taxicab charges $1.70 for the first 1/8 mile, and 15 cents for each additional 1/8 miles. What is the cost of a 5 mile trip? The trip will cost $
Determine the number of solutions Line 1: (0,6) (8,7) Line 2: (0,-6) (8,-5)
a) An equation that can be written in the form of Ax + By = C is called a ---Select--- b) The graph of the equation y = 7 ia a ---Select--- c) The graph of the equation x = 10 ia a ---Select--- d) A point where a graph crosses the y-axis is called a ---Select--- e) A point where a graph crosses…
1. Write the following in the form a + ib. a) (-1+i)³. b) $\left| \frac{1+2i}{-2-i} \right|$.
Find all numbers for which the rational expression is not defined. $$\frac{9b^2-13}{14b+27}$$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The rational expression is not defined for b = (Simplify your answer. Use a comma to separate…
3. List Polya's 4 steps for problem solving. There are 7 people in a room once with everyone else. How many handshakes
The negation of the statement: $\exists m \in N$ such that $\forall n \in N$, $m > n$ is: $\forall m \in N$ $\exists n \in N$, $n \le m$ Select one: True False
College | Four Brevard Count... myEFSC 3-40B-40536-Intermediate Algebra 2.3-Practice Solve V=LWH for W . W=
Consider the matrices $$A = \begin{bmatrix} a & b & c & d \\ x & y & z & 0 \\ -3 & 7 & 2 & 11 \\ -1 & 1 & 2 & 10 \end{bmatrix},$$ $$B = \begin{bmatrix} -3 + bx & 7 + by & 2 + bz & 0 \\ a & b & c & d \\ -1 & 1 & 2 & 10 \end{bmatrix}$$ Suppose that det(A) = 3. Find det(2B). Select one: a. 48 b.…
evaluate both sides of divergence theorem for A = ra$_r$ + rcos($\theta$)a$_\theta$ + r$^2$a$_\phi$ through the closed surface 0 ≤ r ≤ 3, 0 ≤ $\theta$ ≤ π, 0 ≤ $\phi$ ≤ $\frac{\pi}{2}$
Question 7: 16 Marks (7.1) Construct the Truth table for the following Boolean function (6) $f(x, y, z) = (x \land z) \lor (x' \land y' \land z) \lor (x \land y)$. Write in the form: x y z $f(x, y, z)$ 0 0 0 ? 0 0 1 ? 0 1 0 ? 0 1 1 ? 1 0 0 ? 1 0 1 ? 1 1 0 ? 1 1 1 ? (7.2) Use a Karnaugh map to…
Give the digits in the tens place and the hundredths place. 59.26
Question 8 Not yet answered Points out of 3.75 Flag question Use the quotient property of logarithms to write the logarithm as a difference of logarithms. Then simplify if possible. log(m^4+n) 1,000 Select one: O a. 4 log m + log n - 3 Ob. log(m^4+n) - 3 O c. 4 log mlog n - 4 O d. 4-4 log mlog…
Exercises in $\mathbb{R}^2$ and $\mathbb{R}^3$ In $\mathbb{R}^2$: 1. Given vectors $v_1 = (1, 2)$ and $v_2 = (3, 6)$, express $u = (4, 8)$ as a linear combination of $v_1$ and $v_2$. 2. For vectors $v_1 = (2, 3)$ and $v_2 = (-1, 0)$, find if it is possible to express $u = (0, 1)$ as a linear…
Diagnostic Factoring Progress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. Match the polynomial on the left with the appropriately factored expression on the…
15 inches to yards 1. 15 inches to yards $\rightarrow$
Suppose Elsa places $2500 in an account that pays 4% interest compounded each year. Assume that no withdrawals are made from the account. Follow the instructions below. Do not do any rounding.
Add the following complex numbers. (8 + 14i) + (9 - 7i) Give your answer in complex standard form a + bi. Provide your answer below:
(9x^(2)y-18xy+36xy^(2))/(6xy)=
The ratio of girls to boys in a math club was 3 : 3. There were 18 boys. How many girls were there in the club?
Find the domain of the given function and state in interval notation. $$f(x) = \frac{x+9}{2-\sqrt{x-8}}$$ Domain:
Example 7: A project on Kickstarter for an iPad stylus raised 1,253% of their goal, raising a total of $313,490 from 7,511 supporters. What was their original goal? The original goal was $ 407951.8 X. Round your answer to the nearest cent.
Question 2 A. Triangle PQR has vertices (2, 3), (4, 5) and (5, 2) respectively. (i) Using a scale 1 cm to I unit on both axes, plot the triangle PQR. [6 marks] (ii) Obtain its image of triangle PQR, P'Q'R' when translated under the vector T = $$\begin{pmatrix} 4 \\ -1 \end{pmatrix}$$. [4…
16 people pooled their money and bought lottery tickets. One ticket won a prize of $481,600. If each person receives an equal share, find out how many dollars each person receives.
Find the quotient and remainder for the following expression using the division algorithm. 58) 1508
Find the value of the combination. c(7,7) Find the value of the combination. C(7, 7)
Determine the equation of the vertical line passing through the point (-7,7).
B+C=60 B-C=40 (B)/(C)=
Solve: $|x-2|=-5$ ○ $x=?$ ○ $x=-5$ or $x=7$ ○ No solution ○ $x=-3$
2. The 14 digits of a debit card are written in the boxes below. If the sum of any three consecutive digits is 18, what is the value of X? X 6 6 6 8 4
If A is 3x3 nonsingular matrix such that $AA^T = A$ and $B = A^{-1}A^T$ then $BB^T = $ Select one: a. I b. I+B c. $B^{-1}$ d. $(B^{-1})^T$
216^(3r+3)=((1)/(6))^(-2r)
Solve. 9|u+4|-8>37
Find the prime factorization of the composite number. 328 328 =
The slope of AB is -2/3. The slope of CD is w/24. Given AB || CD, determine the value of w. Answer as an integer.
32 divided by 8/9. A. 4 & 1/9 B. 4 C. 36 D. 28 & 4/9
Identify the coefficient and the exponent for each term of 2x^5 – 3x. The coefficients are 5 and 1. The exponents are 2 and -3. The coefficients are 2 and -3. The exponents are 5 and 0. The coefficients are 2 and -3. The exponents are 5 and 1. The coefficients are 2 and 3. The exponents are 5…
Where does the polynomial y = x² + 3x + 2 cross the x-axis? (1, 0) and (0, 1) (1, 0) and (2, 0) (-1, 0) and (-2, 0) (1, 2) and (2, 3) (-2, 0) and (0, 3) Save Answer
Rewrite this number in appropriate scientific notation: 7,713,000 answer = Rewrite this number in appropriate scientific notation: 7,713,000 answer =
Solve application problems using singe variable linear equations The following equation: $$P = 135t + 2000$$ gives the total population, P, of a small city t years after 2019. Use the equation to determine when (what year) the population reached a population of 3485 people. Answer: The…
If you answered 49 questions on an exam correctly and scored 71%, how many total questions were on the exam? questions
© Macmillan Learning percentage of salt: A mixture is made by combining 1.67 lb of salt and 4.22 lb of water. What is the percentage of salt (by mass) in this mixture?
The veto of a congressional bill by the president by retaining it until Congress is no longer in session, neither signing nor vetoing it, is called a(n): • pocket veto O implied veto ☐ veto by implication Oline item veto Question 56 1 pts What is the name of the publication for cases from the…
Which subset of real numbers is the smallest? Which subset of real numbers is the smallest?
Use the given preference table to determine which candidate wins using the plurality method. Write the letter of the corresponding candidate. If there is no winner, write "N" for your answer. Preference Table for…
Macmillan Learning Perform the calculation using the correct order of operations. 4.05/0.32 - (18.88 - 0.4 + 47.13) = TOOLS x10^
9. (2 pts) Given the hypotenuse = 10 m, angle a = 30°, find the opposite and adjacent sides.
Complete the set builder notation for the set of real numbers less than or equal to 81. $\{x|x$ }
Express the following number as a decimal rounded to three significant digits. 17 99
Example 6: Out of 230 racers who started the marathon, 212 completed the race, 14 gave up, and 4 were disqualified. What percentage did not complete the marathon? The percentage that did not complete the marathon is % Round your answer to the nearest tenth of a percent.
Question 7 (1 point) ✔ Saved Steve is at a conference about climate change, wherein world leaders are discussing ways to improve the climate situation on our beautiful planet. He, personally, does not believe that climate change is anthropogenically driven - even though 97% - 98% of scientists…
2. Show that a) $$ \overline{z_1 + z_2} = \overline{z_1} + \overline{z_2} $$ for any two complex numbers $$z_1 = x_1 + iy_1$$, and $$z_2 = x_2 + iy_2$$. b) Re(iz) = -Im(z), for every complex number zx + iy. c) arg($\frac{z_1}{z_2}$) = arg($z_1$) - arg($z_2$). (4) (2) (5)
d. $x_1 + 2x_2 - x_3 = 1$ $2x_1 - x_2 + x_3 = 3$ $-x_1 + 2x_2 + 3x_3 = 7$
Question 17 (1 point) Which of the following is a double-barreled question? Do you like your teacher for this course? Do you like this course? Do you like the teacher for this course and the course itself? Non-electric vehicles are bad for the environment - do you own an electric vehicle?
Multiple-choice questions: Questions from Chapter 1: Our Place in the Universe Reading Astronomy News Article: Breakthrough: Scientists Detect Einsteins's Gravity Ripples (Found on page 15 in the textbook.) (1) See Ch. 1, Reading Astronomy News, Question 1. A. The one that states: ''Suggest…
Solve single variable linear equations Solve for *x*: 0.25(*x* + 50) - 0.03(*x* - 60) = 9.9
1 2 3 4 The first four figures of a pattern are shown in the diagram above. If the pattern continues, how many cubes will there be in figure 16 of the pattern?
4. Milo was making pancakes for his family. Every pancake contains ½ cup of flour. If Milo makes 12 pancakes, how much flour is needed?
A motorcycle has a 17.0 hp engine. How many joules per second are produced by the engine? 17.0 hp = 12676.9 How many calories per hour are produced by the engine? 17.0 hp = TOOLS x10^
Compute the following (over Z2[x]) (a) x3(x2 + x + 1) (mod x3 - 1). (b) (x2 + 1)2 (mod x3 - 1)
Example 1.1.2: Approximate $$\frac{\pi - 1.7^2}{1.1 + \sqrt{3}}$$ to the nearest hundredth.
Question 9 (1 point) Which of the following sampling techniques is most likely to have methodology that has not been developed to prevent bias? Multi-Stage Sampling Convenience Sampling Simple Random Sampling Cluster Sampling
log,(1)/(216)=-3
Exponents and Polynomials Progress: The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. ☑ Match the polynomial on the left with the corresponding polynomial on the right. Add: (2x² + 3x-1) + (x² - 2x + 3) Find the…
4. (20/100) A rectangular garden has a length that is 3 meters more than twice its width. The area of the garden is 200 square meters. Find the dimensions of the garden. 5. (20/100) Simplify: $$ \frac{18d^2+77d-18}{27d^2-15d+2} \div \frac{3d^2+29d-44}{9d^2-15d+4} $$
It is estimated that the annual cost of driving a certain new car is given by the formula $$C = 0.32m + 2,700$$ where *m* represents the number of miles driven per year and *C* is the cost in dollars. A teacher has purchased such a car and decides to budget between $6,220 and $7,820 for next…
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