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August 29 of 2025
Determine the correct type of Conic Section described by the following equation. $$ \frac{(x-3)^2}{4} + \frac{(y-1)^2}{1} = 1 $$ Ellipse centered at x=-3, y=-1 Ellipse centered at x=3, y=1 Parabola centered at x=-3, y=-1 Hyperbola centered at x=-3, y=-1 Parabola centered at x=3, y=1 Hyperbola…
This question: 1 point(s) possibl Use a system of equations to find the parabola of the form $y = ax^2 + bx + c$ that goes through the three given points. (4, 36), (-3, 43), (-2, 24) The parabola fitting these three points is $y = \Box$
Modeling Profit (for the next 3 questions) Question 8 (1 point) The profit (in dollars) for manufacturing and selling 'x' washing machines is given by $$P(x) = -2.4x^2 + 1104x + 210$$. What is the profit for manufacturing and selling 100 washing…
30 Perform the following calculations. Give the answer in the proper form. $$ \frac{3}{8} \div \frac{2}{3} = \frac{\square}{\square} $$
Solve by the method of your choice. $$7x - 4y = 1$$ $$3x + y = 14$$ Select the correct choice below and, A. The solution set is { }. (Typ B. There are infinitely many solut C. The solution set is $$\emptyset$$.
(10 pts) 14. Solve the Non-Linear System. Show ALL work (Use the Addition-Elimination method) $$ \left\{ \begin{array}{l} 3x^2 + 4y^2 = 16 \\ 2x^2 - 3y^2 = 5 \end{array} \right. $$ Give the Answer as ordered pairs - should be "4" ordered pairs.
Who speaks the following lines? "O, my offence is rank it smells to heaven; It hath the primal eldest curse upon't, A brother's murder. Pray can I not, Though inclination be as sharp as will" O Polonius O Claudius O Hamlet O Ophelia
Solve the following formula for the specified variable. $$B = \frac{1}{4}f(r+z)$$ for r $$r = \Box$$ (Simplify your answer.)
Write the expression as a sum and/or difference of logarithms, with all variables to the first degree. $$ln \sqrt{6a^9c^3}$$ $$ln \sqrt{6a^9c^3} = \Box$$ (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.)
Question 7 5 pts From 9 employees at Dunder Mifflin Paper Company, Michael will choose 3 employees to go on a trip to Canada. How many combinations of 3 employees can be chosen from the set of 9? 84
Find k so that the line through (2, -3) and (k,1) is a. parallel to $$3x + 4y = 8$$, b. perpendicular to $$2x - 3y = -2$$ a. k = (Type an integer or a simplified fraction.)
Question 22 < > A vehicle purchased for $32,500 depreciates at a constant rate of 6%. Determine the approximate value of the vehicle 10 years after purchase. Round to the nearest whole dollar. $ > Next Question
Use the discriminant, $b^2 - 4ac$, to determine the number of solutions of the following quadratic equation. Then solve the quadratic equation using the formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. $x^2 + 5x = -5$
Use the discriminant, $b^2 - 4ac$, to determine the number of solutions of the following quadratic equation. Then solve the quadratic equation using the formula $y = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. $-y^2 - 36 = -12y$
Transcript Content attribution Question Solve the exponential equation. $e^{2x-5} = 61$ Round your answer to 4 decimal places and do not include "x =" in your answer. Provide your answer below: Content attribution FEEDBACK MORE I
(9 pts) 13. Solve the Linear System. (Use the Addition-Elimination method) $$ \begin{cases} 5x + 7y = 6 \\ 10x - 3y = 46 \end{cases} $$ Show ALL work Give the Answer as an ordered pair.
Chris wants to place fencing around a portion of his backyard for his new dog. If the dimensions of the rectangular space are 28 ft by 16 ft, how much fencing will Chris need to buy?
4. There are 7 unique names in a bowl. In how many orders can 2 names be chosen? Hint: The word orders implies that each unique order of two names is counted as a possibility.
Use the discriminant, $b^2 - 4ac$, to determine the number of solutions of the following quadratic equation. Then solve the quadratic equation using the formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. $3x^2 = 4$
The following shows a graph of $$f(x,y) = \frac{1}{4}$$ $$x = 1, y = 2$$ $$\frac{1}{2}$$ $$x = 1, y = 3$$ $$\frac{1}{4}$$ $$x = 2, y = 1$$ True or False? True False
Question 7 2 Points Write $$log_3(x^4) - 2log_3(z) - log_3(xy^2)$$ as a single logarithm with a coefficient of 1. Assume all variables are positive real numbers. Use the editor to format your answer Continue
Transcript Content attribution Question Solve the exponential equation. $$3^{2x-3} = 5^{4x+5}$$ Round to 4 decimal places and do not include "x =" in your answer. Sorry, that's incorrect. Try again? -2.6739 Content attribution FEEDBACK
Solve the equation, $P_T = P_1 + P_2 + P_3$, for $P_2$. $P_2 = P_T - P_1 + P_3$ $P_2 = - \frac{(P_1+P_3)}{P_T}$ $P_2 = - \frac{P_T}{(P_1+P_3)}$ $P_2 = P_T - (P_1 + P_3)$
Question 13 When two devices communicate using NFC, how close must they be? up to 5 feet up to 10 feet up to 20 feet No more than 25 feet none of the above
CURRENT OBJECTIVE Solve an equation with a base e using natural logarithms Question Solve $7e^{10x} = 12$. Round your answer to the nearest tenth. Provide your answer below: $x = \Box$ Content attribution
50. A polynomial P is given. $P(x) = x^3 - 6x^2 - 4x + 24$ (a) Find all the real zeros of P. (Enter your answers as a c $x = $
Solve the equation, $PV = nRT$, for V. $V = \frac{P}{nRT} V = \frac{P}{nRT}$ $V = \frac{nRT}{P} V = \frac{nRT}{P}$ $V = \frac{nRP}{T} V = \frac{nRP}{T}$ $V = \frac{PRT}{n} V = \frac{PRT}{n}$
What will be the population in 7 more years? Round your answer to the nearest whole number. Japan had a decay rate of 0.17% and decreased to 127,484,450. If this rate continues,
(8 pts) 12. Solve the Linear System. (Use the Substitution Method) $$y = 4x - 1$$ $$3x + 2y = 20$$ Give the Answer as an ordered pair. Show ALL work
Compared with the number of passengers who fly American commercial aviation each day, how many people travel on subways in American cities? Three times Half Five times Double
Solve the system by elimination. $$5x + 7y = 11$$ $$15x - 4y = 83$$ The solution set is { }. (Simplify your answer. Type an ordered pair.)
Sam has a bookcase with 5 shelves. There are c books on each shelf. Using c, write an expression for the total number of books. $$5 \times c$$
6. (4 points) Write an expression for the nth term in the sequence, $a_n$, given the first few terms in the sequence. $4, -\frac{9}{6}, \frac{16}{36}, -\frac{25}{216}, \dots$
True or False: The vice-president has the power to cast the deciding vote in the event of a tied vote in the House of Representatives. True False
Solve for $x$: $\log(x) + \log(x + 5) = 6$ $x = \boxed{\phantom{1234567890}}$ You may enter the exact value or round to 4 decimal places.
Problem 1. (7.5 points) Find the last digit of the following decimal integer $n$: $n = 2 \times (7^{1000}) + 7 \times (3^{9999})$
In rates, the denominator measures How many times an event occurs How many times an event could occur How many people in the entire population
Use logarithms to solve exponential equations Question Find the exact solution to $8^{x+8} = 2^x$. Provide your answer below: $x = \Box$ Content attribution
Exponents and Polynomials Dividing a polynomial by a monomial: Multivariate Divide. $(-13v^2x^3 + 32vx^2) \div (-4v^2x^3)$ Simplify your answer as much as possible.
Question 13 (1 point) Solve the equation. $$\sqrt{2x} + 8 = x + 4$$ O {-4} O {8} O {2, 8} O {-$$\frac{4}{3}$$}
4. A bag contains 8 marbles of different colors. In how many unique orders can 3 marbles be chosen? (Lesson 21.2) (2 points)
Find an equation of the slant asymptote. $$y = \frac{-9x^4 + 6x^2 + 2}{3x^3 - x}$$ Need Help? Read It SUBMIT ANSWER
Question 8 2 Points Expand $$ln\left(\frac{xy^3}{e^2}\right)$$. Assume x and y are positive real numbers. Use the editor to format your answer Continue
3) Perform the following operations and write your answer in scientific notation. $$ \frac{(4.8 \times 10^{-23})(7.2 \times 10^9)}{(9.0 \times 10^{-4})} = $$
13.10 - Expand Logarithm CURRENT OBJECTIVE Expand logarithmic expressions Question Write the expanded form of $$log\left(\frac{3}{5}x^2\right)$$. Provide your answer below: Content attribution
Question 24 Gilgamesh is: O completely divine O completely human O 2/3 divine and 1/3 human O 1/3 divine and 2/3 human
The rate of alcohol-impairment among drivers involved in a fatal crash is higher during the day than at night. True False
Solve the equation: $2w^2 - 3w + 16 = 9$. Full simplify your answer, including any non-real solutions. $w = $
What is the LCD of the fractions in the complex fraction $$ \frac{1 - \frac{7}{x-4}}{\frac{8}{x} + 1} $$ Additional Materials
Solve the polynomial inequality: $(x+4)(x+1)(x-7) > 0$ Give your answer in interval notation. Enter DNE if there is no solution.
Plot the point that has the given polar coordinates. $(-2, -\frac{\pi}{4})$ $\pi/2$ $2$ $1$ $-2$ $-1$ $0$ $1$ $-1$ $-2$ $\pi/2$ $2$ $1$ $-2$ $-1$ $0$ $1$ $-1$ $-2$ $\pi/2$ $2$ $1$ $-2$ $-1$ $0$ $1$ $-1$ $-2$ $\pi/2$ $2$ $1$ $-2$ $-1$ $0$ $1$ $-1$ $-2$
A p-value lets you know the percentage of times an event will take place in the future. True False
2.1 Express the function in the form $f \circ g \circ h$ if: $G(x) = (4 + \sqrt[3]{x})^9$ (3)
Rewrite the expression so that there is a common binomial factor. $$b(a - 4) - 2(4 - a)$$ x
Expand the following logarithmic expression as much as possible. $$\log_a (x^4 \sqrt{y^3})$$ Note: If you are using log you need to type it in and use the subscript button on the keyboard. There is no log button. Provide your answer below:
6. Solve for x: $$Log_4(x-3) + Log_4(x+3) = 2$$ Condense 1st Check Answers Show ALL work
The pattern w-w-h-w-w-w-h implies a _____ scale. A) major B) minor C) octave D) chromatic
Solve the equation. $9^{x+4} = 81^{2x-3}$ x = (Type an integer or an improper fraction.)
b. How many different ways can 4 students be chosen from a group of 20?
Simplify the following expression. Assume that each variable is positive. $$ \sqrt{\frac{58x^{12}}{49y^{12}}} $$
5) For the functions $f(x)=-\sqrt{x+1}$ and $g(x)=-2x$, find $(f \circ g)(x)$ and simplify.
Solve the equation for c. $y = cx + f$ $c = \square$
Solve the equation $8 - 4|3x + 2| = -4$ The solutions are:
5. Solve for x: $$Log_5 (6.5x + 300) = 4$$ Show ALL work
Write $$log \frac{4}{7} a^3$$ in expanded form. Provide your answer below: Content attribution
Question 7 Find $f_y(-18,6)$ for $f(x,y) = \sin(3x + 9y)$. Question 8
How many ways can 5 tiles be selected from 23 tiles?
Simplify the following expression. Assume that all variables are positive. $$\sqrt{50x^{10}y^6}$$
Question: Decompose the following quotient into partial fractions: $$ \frac{x^4-3x^3-9x^2+36x-35}{x^3+2x^2-7x+4} $$
Up to symmetry, how many different Frieze patterns are there? Up to symmetry, how many different Frieze patterns are there?
Simplify. ((x)/(x 8)-(5)/(x))/((x)/(x 8) (5)/(x)) Simplify. $$ \frac{\frac{x}{x+8} - \frac{5}{x}}{\frac{x}{x+8} + \frac{5}{x}} $$
Evaluate. (-6)^(3)= (-7)^(2)= Evaluate. $(-6)^3 = []$ $(-7)^2 = []$
(4.8)/(x)=(3)/(6)
(x)/(4)=(4.5)/(6)
(x)/(5)=(4.5)/(7.5)
Simplify. ((4y^(-5))/(y^(5)))^(2)
(x)/(3)=(6)/(4.8)
(5)/(x)=(9)/(4.5)
Solve the system of equations using matrices. Use the Gau x y z=3 x-y-z=3 x-y z=11 Select the correct choice below and, if necessary, fill in the a
Simplify. (v^(7))^(-4)
(x)/(5)=(4.5)/(9)
Simplify. (4 (9)/(2))/(5-(3)/(2))
Which function has a y-intercept of (2)/(3) ? a) f(x)=(6x 5)/(9x-7) b) f(x)=-(3x 2)/(5x-1) c) f(x)=-(5x 6)/(7x-9) d) f(x)=(3x 2)/(3x-1)
(1-(2x)/(3x-6))/(x-(72)/(3x-6))
Homework Perform the following calculations. Give the answer in the proper form. $$ \frac{4}{9} - \frac{1}{3} = \frac{\Box}{\Box} $$
Simplify the following expression. Assume that each variable is positive. $$\sqrt{27y^5}$$
(x)/(4.5)=(5)/(9)
7. A convex polyhedron is made out of equilateral triangles and regular pentagons. Five faces meet at each vertex, including at least one triangle and at least one pentagon. Determine the number of vertices, faces, and edges in the polyhedron.
The population for Mexico in 2014 is 118.8 million. The current population is 130.7 million. a.) Find the percent increase in population size. b.) Find the population density if the area of Mexico is approximately 762,000 square miles.
in the elections of 2008, What were the election results? Who won? How many electoral votes in the Electoral College did they receive? Which of the swing states did they win?
Three mechanics worked 15 , 14 3/4 and 18 1/8 hours respectively. What was the total cost of labour if the mechanics were paid $14.75 per hour?
When using a coordinate measuring system, one must make several calculations before machining. can almost completely eliminate scrap and rework. never has to calibrate the machine. must be an expert in mathematics.
How many different ways are there to form a 6-card hand from a deck of 27 cards?
from very early on, mathemeticians were interested in finding right triangles who sides has integer lengths
When angle 1 is 0 degrees what is the value of side y
When testing 6 cardinal fields of gaze a “palsy” (paralysis) of the 3,4, or 6th cranial nerves is recognized when BOTH eyes are ... Group of answer choices tracking in the same direction at the same time tracking away from the light source pupils constricting unevenly not tracking in the same…
If a new truck is valued at 36300 what will its value be in 1 year if it depreciates 8.4% each year
How many electoral votes are there in the U.S.? Group of answer choices 435 538 100 54
A person earns $4,648, but 45% goes to tax. How much money is left over after taxes? Round to the nearest cent.
What term of the sequence 2, 5, 8, 11, … is the number 77?
You want to take out a 252,000 mortgage loan. The interest rate on the loan is 4.6%, and the loan is for 30 years. Your monthly payments are 1, 291.86. How much will still be owed after making payments for 5 years? How much will still be owed after making payments for 10 years? How much will…
Suppose you want to have 700,000 for retirement in 35 years. Your account earns 6% interest. Round your answers to the nearest cent. How much would you need to deposit in the account each month? How much interest will you earn?
A hoist mechanism raises a crate with an acceleration (in m divided by s squared) a equals StartRoot 1 plus 0.25 t EndRoot, where t is the time in seconds. Find the displacement of the crate as a function of time if v equals 0 m divided by s and s equals 3 m for t equals 0 s.
Given the points A (1, 2, 3) and B (4, 5, 6). Find the coordinates of C and D and the area of the parallelogram if 𝐴𝐷#####⃗ = −9𝚤⃗ + 4𝚥⃗ + 7𝑘#⃗ . Write your answer in a simplified and exact solution
Use row operations on an augmented matrix to solve the given system of linear equations. x + y − z = −2 x + 2y + 3z = −5 2x − y − 13z = 8 (x, y, z) =
A grocer wants to mix two kinds of candy. One kind sells for $1.80 per pound, and the other sells for $2.75 per pound. He wants to mix a total of 27 pounds and sell it for $1.85 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest…
Find the hourly wage of a person with an income of $75,079 l, who works 40 hours a week for 46 weeks. Round your answer to 2 decimal places.
Tanya bought two adult tickets and one children's ticket to a movie for $16.10. Li bought four adult tickets and four children's tickets for $36.40. Find the cost of one adult ticket and the cost of one children's ticket.
A small plane flew 387 miles in 1.5 hours with the wind. Then on the return trip, flying against the wind, it traveled only 255 miles in 1.5 hours. What were the wind velocity and the speed of the plane? (Note: The "speed of the plane" means how fast the plane would be flying with no wind.)
Divide the polynomials. Express numbers using integers or simplified fractions. Check your answer by multiplication. (4t^(2)-28t^(3)+36t^(4))-:(4t)=
Solve the system by elimination or by any convenient method. (If the system is dependent, enter DEPENDENT. If there is no solution, enter NO SOLUTION.) 8x − 12y = 16 12x − 18y = 24 (x, y)
Divide the polynomials. Express numbers using integers or simplified fractions. Check your answer by multiplication. (24t+16t^(2)+4t^(3))-:(4t)
Find the quotient and remainder using long division for 5𝑥4 − 𝑥2 + 𝑥 − 2 divided by 𝑥2 + 2. 2. Quotient: Remainder:_
Simplify the expression. Write the answer with positive exponents only. Assume the variable represents a nonzero real number. v^(-3)-:v^(-9)
A plane flies 144 miles with the wind in 2 hours . The return trip takes 3 hours. What is the speed of the wind and the speed of the plane in still air?
rite the augmented matrix for the system of equations and use it to solve the system [1,1,1=2;-1,2,-1=1;2,-1,3=5]
Working her way through school, Julie works two part-time jobs for a total of 29 hours a week. Job A pays $6.30 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $197.10? (Round to two decimal places if necessary.)
Lorrie bought a new car for $23,143 and a friend who sells used cars told her that she could expect the car to depreciate by about 10% a year for the next 5 years. How long will it take for the car to have a value of $12,000? Round to the nearest tenth of a year.
Certain drugs are eliminated from the bloodstream at an exponential rate. Doctors and pharmacists need to know how long it takes for a drug to reach a certain level to determine how often patients should take medications. Write an exponential model for the following situation. The drug dosage…
Each cupcake sells for $2, and each muffin sells for $1.50. The bakery wants to produce at least 300 and no more than 500 muffins, and the same for cupcakes. How many cupcakes and muffins should the bakery produce to bring in the most money?
HarMathAp12 1.5.012. Solve the system by elimination or by any convenient method. (If the system is dependent, enter DEPENDENT. If there is no solution, enter NO SOLUTION.) 2x + 5y = 39 −6x + 2y = 36 (x, y) =
Simplify the expression. Write the answer with positive exponents only. Assume all variables represent nonzero real numbers. -((s^(7)t^(7))/(s^(7)))^(0)
Spade Realty sold lots for $23 240 per hectare. What are the total sales value if the lot sizes (in hectares) were 2 ½, 3 ¼ , 4 1/5?
Three consecutive even integers have a sum of 102. If x represents the least number in the set, what equation can be used to determine the value of the sum of the integers?
$9000 was borrowed from two sources, one that charges 12% simple interest and the other that charges 8% simple interest. If the total interest at the end of year was $1000 , how much money was borrowed from each source?
Prove that x^3+nx+2 is irreducible over X for all integer n not equal
What is the interval in set-builder notation? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.. [-3, 2)
Prove that x^3+nx+2 is irreducible over X for all integer n not equal 1,-3,-5
Use the commutative and associative properties of real numbers and the properties of exponents to simplify the expression. (-9y^(2))(7y^(8))(y^(3))=
determine is the system of equations (A,B, or C) makes a true statement. The lines coincide y=4x-1 y=4x-2
Use the Binomial Theorem to write the expansion of the expression. (x + 8y)4
Use the left-to-right elimination method to solve the system. x + 3y + z = 6 −y + 4z = 29 3z = 24 (x, y, z) =
Find the 20th term in the sequence 2, 4, 6, 8, ... show the initial setup, and then the final answer.
determine is the system of equations (A,B, or C) makes a true statement. The lines coincide y=-5x+1 y=-5x+1
If y2 - 6y+m is a perfect quadratic equation, what is the value of m
Use ordered pairs (3,56) and (7,85) to find the equation of a line that approximates the data
Determine whether the ordered pair (5,1) is a solution to the given system of equations. x+3y=8 2x−9=y
it is known that the equation 2x -a + 5 = 0. What is the value of a?
Calculate the 5th term in the expansion of (𝑥 − 2𝑦)7
Simplify the expression. Write your answer as an integer or simplified fraction. 7^(-1)
State whether the function is even, odd, or neither. g(x) = x3 − 7x
L. Solve \( x^{2}=\left(1+p^{2}\right) \) \( \pm \sqrt{1+p^{2}} \). Here y is explicitly absent. erentiate with respect to \( y \). \[ \begin{aligned} \frac{1}{p} & =\frac{p}{\sqrt{\left(1+p^{2}\right)}} \frac{d p}{d y} \\ \therefore \quad d y & =\frac{p^{2}}{\sqrt{\left(1+p^{2}\right)}} d p…
Polynomial and Rational Functions Try again... Word problem involving optimizing area by using a quadratic function \( \square \) 0.5 Page Español A wire that is 16 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a…
f) Let \( f(x)=|3 x+2|-1 \) be a function. (i) Sketch the graph of \( f(x) \). (ii) State the range of \( f(x) \)
25-26 HMS Bronco Time FLE Desmos | Testing GCISD ClassLink Quizzes 2 gcisdlearns.instructure.com/courses/75710/assignments/1456880 GCISD Links 骂 15 Multiple Choice 1 point Savon has the following set of numbers to order on his math homework. \[ \left\{\pi,-3.14,-3 \frac{1}{4}, 9,…
gcisdlearns.instructure.com/courses/75710/assignment/1456880 12 Multiple Choice 1 point Two numbers are shown on the number line. Which value is NOT located between these two numbers on the number line? A \( \frac{8}{3} \) C \( 150 \% \) B \( \frac{\sqrt{16}}{2} \) D \( \frac{\pi^{2}}{4}…
(1) Solve for \( x \) \[ \log _{4} x+\log _{x} 4=2 \]
\( -1 \frac{3}{5}-3+\left(-2 \frac{2}{5} \times \frac{1}{2}\right) \)
c. Here are some points: What are the coordinates of \( G, H \), and \( I \) after a rotation about \( (0,0) \) by \( 90^{\circ} \) clockwise? Plot these points on the grid, and label them \( G^{\prime}, H^{\prime} \) and \( I^{\prime} \). 2 from Unit 1, Lesson 4 Describe a sequence of…
Filinthe Hork Ipxint Onnose is the merement of \( \square \) Alswer across a membrane. It relates to osmotic pressure since It e imbalance of \( \qquad \) Answer oncorher vide of the membrane well canse asmosis. \( \square \) water Fireccotors \#i solutes Wantigens Previous, Nest
Find the numbers to place in each of the five small circles shown to the right so that each number given in a large circle is the sum of the numbers in the two adjacent small circles. Do so by letting one of the values in a small circle be denoted by an unknown and then obtaining and solving an…
(9) if CAT-ASVAB displaytern - Work - Microsoh Edge https//aptdpac.mil/icat/nowBegin.do Question 2 of 4 PART 1 - Arithmetic Reasoning A salesperson works 3 days per week. She earns 1/3 of her pay on Monday and 1/4 on Tuesday. How much of her pay does she earn on Wednesday? A \( 5 / 7 \) B \(…
Find the numbers to place in each of the five small circles shown to the right so that each number given in a large circle is the sum of the numbers in the two adjacent small circles. Do so by letting one of the values in a small circle be denoted by an unknown and then obtaining and solving an…
4. II CAT-ASVAB displaytem - Work - Microsoft Edge https///apt.dpac.mil/icat/nowBegin.do PART 1 - Arithmetic Reasoning Question 1 of 4 What is the volume, in cubic inches, of a shoe box with a length of 10 inches, a width of 7 inches, and a height of \( 5-1 / 2 \) inches? A \( 22-1 / 2 \) B…
Find the numbers to place in each of the five small circles shown to the right so that each number given in a large circle is the sum of the numbers in the two adjacent small circles. Do so by letting one of the values in a small circle be denoted by an unknown and then obtaining and solving an…
The triangular numbers and the square numbers are shown below. Choose the fitth ngure below. A. B. cc. D. Choose the sixth figure below. A. B. c. D. (b) List the sequence of numbers that corresponds to the sequence of part (a). These are called pentagonal numbers. \( \square…
The triangular numbers and the square numbers are shown below. Consider a new sequence of dot patterns below and complete parts (a) through (g). Choose the sixth figure below. A. B. \( \diamond \) C. D. (b) List the sequence of numbers that corresponds to the sequence of part (a).…
Old MacDonald has 100 chickens and goats in the barnyard. Altogether, there are 298 feet. How many chickens and how many goats are in the barnyard? There are \( \square \) chickens and \( \square \) goats in the barnyard.
Question Watch Video Determine the range of the following graph:
Activity Sheet in Functions and Related Concepts Part A: Identifying Functions and Relations 1. Determine whether the following are functions or relations. Write Function or Not a Function. a. \( \{(1,2),(2,3),(3,4),(4,5)\} \) b. \( \{(1,2),(2,3),(3,4),(3,5)\} \) c. \( y=2 x+1 \) d. \(…
Mr. Donald has a three-dimensional scale model of the Great Pyramid of Giza in his classroom. The model uses a scale of 1 centimeter to 7 meters. The model pyramid is 20 centimeters tall. Ben is writing a report about Egypt and wants to include a scale drawing of the pyramid. He plans to use a…
-delivery/ua/190300/100011525/aHR0cHM6Ly9mMS5hcHBzLmVsZi5IZG1IbnR1bS5jb20vbGVhcm5Ici9zZWNvbmRhcnkvdXNIci 1 hc3NpZ25tZW50LzE5. ; in 1 Variable, Part 1: Tutorial 9 of 27 Save \& Exit Remember - Numbers get larger moving to the right and smaller moving to the left. - An open circle means that the…
ar Inequalities in 1 Variable courseware-delivery/ua/190300/100011525/aHR0cHM6Ly9mMS5hcHBzLmVsZi5IZG1IbnR1bS5jb20vbGVhcm5Ici9zZWNvbmRhcnkvdXNIci1hc3NpZ25tZW50LzE5... qualities in 1 Variable, Part 1: Tutorial 9 of 27 Save \& Exit Remember - Numbers get larger moving to the right and smaller…
m.com/courseware-delivery/ua/190300/100011523/aHR0cHM6Ly9mMS5hcHBzLmVaZi5IZG1IbnR1bS5jb20vbGVhcm5lci9zZWNvbmRhcnkvdXNlci1hc3NpZ25 g Linear Equations to Solve Problems: Mastery Test 8 of 10 Mitch is buying candy bars for his friends. He wants to give 2 bars to each friend, and he wants to have…
Imentum.com/courseware-delivery/ua/190300/100011523/aHR0cHM6Ly9mMS5hcHBzLmVsZisiz01ibnfibsgb20vb0Whicm5lci9zz.WNvibmRhcrikudXANici? Jsing Linear Equations to Solve Problems: Mastery Test Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need \( \$ 86 \).…
The Culver City Science Museum has a larger-than-life scale model of a human heart on display. The model was designed using the size of an average adult heart, which is 5 inches long and 3.5 inches wide. The model heart is 7.5 feet long. Complete the sentences. The model heart was made using a…
ear Equations to Solve seware-delivery/ua/190300/100011523/aHR0cHM6Ly9mMS5hcHBzLmVsZi5IZG1IbnR1bS5jb20vbGVhcm5Ici9zZWNvbmRhcnkvdXNIci1h Equations to Solve Problems: Mastery Test Saidhari bought a toaster oven for \( \$ 60 \). This price was \( 1 / 4 \) off the list price. What was the list…
quations to Solve Problems: Mastery Test 5 of The ratio of men to women in a certain factory is 3 to 4 . There are 198 men. How many workers are there? Enter the correct answer. DONE
/courseware-delivery/ua/190300/100011523/aHR0cHM6Ly9mMS5hcHBzLmVsZI5IZG1IbnR1bS5jb20vbGVhcm5lci9zZWNvbmRhcnkvdXNIci1hc3NpZ: ear Equations to Solve Problems: Mastery Test 4 of 10 Complete the activity to continue Frank has devised a formula for his catering business that calculates the number…
Ruth, an architect, drew a blueprint for the foundation of a new house she is designing. She used a scale of 3 inches to 10 teet. What is the area of the actual foundation? Write your answer as a whole number, decimal, proper fraction, or mixed number. \( \square \) square feet
At a museum, Dan saw an exhibit about America's first transcontinental railroad. He learned that one company constructed 690 miles of track between Sacramento, California, and Promontory Point, Utah. On a scale map of the railroad routes, the section from Sacramento to Promontory Point is 13.8…
(Read carefully before responding.) Joni has two U.S. coins in her pocket. One of the coins is not a quarter. If the fotal value of the coins is 26 cents, what are the two coins? Select both of the coins below. Use the Show Work feature to provide related calculations and additional reasoning…
Aqua Waves Waterpark gives a park map to all visitors. On the map, the distance from the entrance to the Giant Plunge is 10 inches, and the disfance from the entrance to the Wild Waves Pool is 9 inches. The actual distance from the entrance to the Wild Waves Pool is 225 feet. What scale was…
Meg found a scale drawing of a forget-me-not in an encyclopedia of flowering plants. The drawing used a scale of 1 centimeter : 2 millimeters. In the drawing, the diameter of one flower was 4.8 centimeters. Meg wants to make a large clay sculpture that includes a realistic forget-me-not. She…
How many chords are determined by joining dots on a circle if there are the following number of dots? a. 4 dots b. 8 dots c. 98 dots d. n dots a. When there are 4 dots there are \( \square \) chords.
If one must follow along the paths of the following diagram in the direction of the arrows, how many paths are there from \( C \) to \( E \) ? There are \( \square \) paths from \( C \) to \( E \).
30. \( i^{133} \)
If one must follow along the paths of the following diagram in the direction of the arrows, how many paths are there from \( C \) to \( E \) ? There are \( \square \) paths from \( C \) to \( E \).
Brody's favorite novel, The Giver, has a rectangular cover that is 228 millimeters tall and 150 millimeters wide. Brody used a scale of 4 millimeters : 1 centimeter to make a drawing of The Giver's cover. What is the area of Brody's drawing? Write your answer as a whole number, decimal, proper…
If one must always move upward or to the right on the grid shown below, how many paths are there from \( A \) to \( B \) ? \begin{tabular}{|l|l|l|l|} \hline & & & B \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular} How many paths are there from \( A \) to \( B \) ? \(…
19. You want to paint a piece of pottery at an art studio. The total cost is the cost of the piece plus an hourly studio fee. There are two studios to choose from. (Section 1.3) a. After how many hours of painting are the total costs the same at both studios? Justify your answer. b. Studio B…
(b) How many rectangles are in this figure? \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|} \hline a & b & c & d & e & f & g & h & i & j & k & l & m & n & o & p \\ \hline \end{tabular} There are 136 rectangles. (c) How many rectangles are there in a \( 1 \times n \) strip like that in part…
Use the figures below to answer parts (a) through (c). (a) How many rectangles are there in each of these figures? (Note that rectangles may measure 1 by 1,1 by 2,1 by 3, and so on.) 1 rectangle 3 rectangles 6 rectangles 10 rectangles (b) How many rectangles are in this…
25. \( \sqrt{-8}(\sqrt{-3}-\sqrt{5}) \) 26. \( (3 \sqrt{-5})(-4 \sqrt{-12}) \)
Deb is an audiologist-an expert on hearing disorders. She keeps a scale model of an ear in her office to show to patients. The model includes tiny bones called the anvil and hammer, which are located in the middle ear. On the model, the anvil is 7.5 centimeters long and the hammer is 12…
The dimensions of a rectangle are 25 meters by 20 meters. Which of the following could be the dimensions of a scaled copy of the rectangle? Select all that apply. 16 meters by 12 meters 30 meters by 25 meters 35 meters by 28 meters 20 meters by 16 meters
Combine like terms to simplify the following expression: \[ 12 x+4 y-3 x+2-8 y^{2}+3^{2} \] A \( 15 x+4 y+11+8 y^{2} \) (B) \( 9 x+4 y+2+3^{2}-8 y^{2} \) (C) \( 9 x+4 y+11-8 y^{2} \) (D) \( 9 x+4 y+2-11 y^{2} \)
6. ANALYZING DATA The table shows the daily changes in the value of a stock over 12 days. a. Find the mean, median, and mode of the changes in \begin{tabular}{|ccc|} \hline \multicolumn{3}{|c|}{\begin{tabular}{c} Changes in Stock \\ Value (dollars) \end{tabular}} \\ \hline 1.05 & 2.03 &…
Tim uses a scale drawing of his grocery store to organize his inventory. The drawing uses a scale of 2 inches: 15 feet. What is the area of the actual grocery store? Write your answer as a whole number, decimal, proper fraction, or mixed number. square feet
(a) Fill in the blanks to continue this dot sequence in the most likely way (b) What number sequence corresponds to the sequence of dot patterns of part (a)? (c) What is the 20th term in the sequence of part (b)? the 60th term? (d) Which term in the sequence is 139? Which term will go in blank…
(a) Fill in the blanks to continue this dot sequence in the most likely way. n list \( \qquad \) 1 \( \qquad \) 2 ion 1 (b) What number sequence corresponds to the sequence of dot patterns of part (a)? ion 2 (a) Which term will go in blank 1? A. B. C. ion 3
\( \begin{array}{l}\text { 16. } 34=28-\frac{2}{5} y \\ -28 \frac{5}{2}(6)=\left(-\frac{2}{5} y\right) \frac{5}{2} \\ y=-15\end{array} \)
The equations given below illustrate a suspected number pattern. Determine the next equation. \[ \begin{array}{l} 1=1^{2} \\ 1+2+1=2^{2} \\ 1+2+3+2+1=3^{2} \\ 1+2+3+4+3+2+1=4^{2} \end{array} \] Choose the correct answer below. A. \( 1+2+3+4+5+4+3+2+1=5^{2} \) B. \( 1+2+3+4+4+3+2+1=5^{2} \) C.…
How many terms are there in the following arithmetic progression? \[ -9,-7,-5, \ldots, 11 \] There are \( \square \) terms in the progression.
Predict the next three numbers in the pattern. 9, 12, 15, 18, 21. \( \qquad \) , \( \qquad \) , \( \qquad \) 1 2 3 4 5 \( 9,12,15,18,21 \), \( \square \) , \( \square \) , \( \square \)
\( \begin{array}{l}\text { 15. } \begin{aligned}-\frac{3}{8} r+41 & =-22 \\ -41 & -41 \\ -\frac{8}{3} & -\frac{3}{8} r \\ r & =\end{aligned}-(-63)=\frac{8}{3}\end{array} \)
\( \begin{array}{l}\text { 14. } 11=\frac{4}{5} h-1 \\ -1 \\ \frac{5}{4}(12)=\left(\frac{4}{5} h\right)^{\frac{5}{4}} \\ h=\end{array} \)
\( \begin{array}{l}\text { 13. }-\frac{2}{3} w+53=59 \\ -2\left(-\frac{2}{3} w\right)=(6)-\frac{3}{2}\end{array} \)
you feel lest heat from it. The mperature will go down as you move ather away. Thich of these graphs shows how the mperature changes with increasing stance from a hot object?
Determine the correct type of Conic Section described by the following equation. $$ \frac{(x-3)^2}{4} + \frac{(y-1)^2}{1} = 1 $$ Ellipse centered at x=-3, y=-1 Ellipse centered at x=3, y=1 Parabola centered at x=-3, y=-1 Hyperbola centered at x=-3, y=-1 Parabola centered at x=3, y=1 Hyperbola…
This question: 1 point(s) possibl Use a system of equations to find the parabola of the form $y = ax^2 + bx + c$ that goes through the three given points. (4, 36), (-3, 43), (-2, 24) The parabola fitting these three points is $y = \Box$
Modeling Profit (for the next 3 questions) Question 8 (1 point) The profit (in dollars) for manufacturing and selling 'x' washing machines is given by $$P(x) = -2.4x^2 + 1104x + 210$$. What is the profit for manufacturing and selling 100 washing…
30 Perform the following calculations. Give the answer in the proper form. $$ \frac{3}{8} \div \frac{2}{3} = \frac{\square}{\square} $$
Solve by the method of your choice. $$7x - 4y = 1$$ $$3x + y = 14$$ Select the correct choice below and, A. The solution set is { }. (Typ B. There are infinitely many solut C. The solution set is $$\emptyset$$.
(10 pts) 14. Solve the Non-Linear System. Show ALL work (Use the Addition-Elimination method) $$ \left\{ \begin{array}{l} 3x^2 + 4y^2 = 16 \\ 2x^2 - 3y^2 = 5 \end{array} \right. $$ Give the Answer as ordered pairs - should be "4" ordered pairs.
Who speaks the following lines? "O, my offence is rank it smells to heaven; It hath the primal eldest curse upon't, A brother's murder. Pray can I not, Though inclination be as sharp as will" O Polonius O Claudius O Hamlet O Ophelia
Solve the following formula for the specified variable. $$B = \frac{1}{4}f(r+z)$$ for r $$r = \Box$$ (Simplify your answer.)
Write the expression as a sum and/or difference of logarithms, with all variables to the first degree. $$ln \sqrt{6a^9c^3}$$ $$ln \sqrt{6a^9c^3} = \Box$$ (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.)
Question 7 5 pts From 9 employees at Dunder Mifflin Paper Company, Michael will choose 3 employees to go on a trip to Canada. How many combinations of 3 employees can be chosen from the set of 9? 84
Find k so that the line through (2, -3) and (k,1) is a. parallel to $$3x + 4y = 8$$, b. perpendicular to $$2x - 3y = -2$$ a. k = (Type an integer or a simplified fraction.)
Question 22 < > A vehicle purchased for $32,500 depreciates at a constant rate of 6%. Determine the approximate value of the vehicle 10 years after purchase. Round to the nearest whole dollar. $ > Next Question
Use the discriminant, $b^2 - 4ac$, to determine the number of solutions of the following quadratic equation. Then solve the quadratic equation using the formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. $x^2 + 5x = -5$
Use the discriminant, $b^2 - 4ac$, to determine the number of solutions of the following quadratic equation. Then solve the quadratic equation using the formula $y = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. $-y^2 - 36 = -12y$
Transcript Content attribution Question Solve the exponential equation. $e^{2x-5} = 61$ Round your answer to 4 decimal places and do not include "x =" in your answer. Provide your answer below: Content attribution FEEDBACK MORE I
(9 pts) 13. Solve the Linear System. (Use the Addition-Elimination method) $$ \begin{cases} 5x + 7y = 6 \\ 10x - 3y = 46 \end{cases} $$ Show ALL work Give the Answer as an ordered pair.
Chris wants to place fencing around a portion of his backyard for his new dog. If the dimensions of the rectangular space are 28 ft by 16 ft, how much fencing will Chris need to buy?
4. There are 7 unique names in a bowl. In how many orders can 2 names be chosen? Hint: The word orders implies that each unique order of two names is counted as a possibility.
Use the discriminant, $b^2 - 4ac$, to determine the number of solutions of the following quadratic equation. Then solve the quadratic equation using the formula $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. $3x^2 = 4$
The following shows a graph of $$f(x,y) = \frac{1}{4}$$ $$x = 1, y = 2$$ $$\frac{1}{2}$$ $$x = 1, y = 3$$ $$\frac{1}{4}$$ $$x = 2, y = 1$$ True or False? True False
Question 7 2 Points Write $$log_3(x^4) - 2log_3(z) - log_3(xy^2)$$ as a single logarithm with a coefficient of 1. Assume all variables are positive real numbers. Use the editor to format your answer Continue
Transcript Content attribution Question Solve the exponential equation. $$3^{2x-3} = 5^{4x+5}$$ Round to 4 decimal places and do not include "x =" in your answer. Sorry, that's incorrect. Try again? -2.6739 Content attribution FEEDBACK
Solve the equation, $P_T = P_1 + P_2 + P_3$, for $P_2$. $P_2 = P_T - P_1 + P_3$ $P_2 = - \frac{(P_1+P_3)}{P_T}$ $P_2 = - \frac{P_T}{(P_1+P_3)}$ $P_2 = P_T - (P_1 + P_3)$
Question 13 When two devices communicate using NFC, how close must they be? up to 5 feet up to 10 feet up to 20 feet No more than 25 feet none of the above
CURRENT OBJECTIVE Solve an equation with a base e using natural logarithms Question Solve $7e^{10x} = 12$. Round your answer to the nearest tenth. Provide your answer below: $x = \Box$ Content attribution
50. A polynomial P is given. $P(x) = x^3 - 6x^2 - 4x + 24$ (a) Find all the real zeros of P. (Enter your answers as a c $x = $
Solve the equation, $PV = nRT$, for V. $V = \frac{P}{nRT} V = \frac{P}{nRT}$ $V = \frac{nRT}{P} V = \frac{nRT}{P}$ $V = \frac{nRP}{T} V = \frac{nRP}{T}$ $V = \frac{PRT}{n} V = \frac{PRT}{n}$
What will be the population in 7 more years? Round your answer to the nearest whole number. Japan had a decay rate of 0.17% and decreased to 127,484,450. If this rate continues,
(8 pts) 12. Solve the Linear System. (Use the Substitution Method) $$y = 4x - 1$$ $$3x + 2y = 20$$ Give the Answer as an ordered pair. Show ALL work
Compared with the number of passengers who fly American commercial aviation each day, how many people travel on subways in American cities? Three times Half Five times Double
Solve the system by elimination. $$5x + 7y = 11$$ $$15x - 4y = 83$$ The solution set is { }. (Simplify your answer. Type an ordered pair.)
Sam has a bookcase with 5 shelves. There are c books on each shelf. Using c, write an expression for the total number of books. $$5 \times c$$
6. (4 points) Write an expression for the nth term in the sequence, $a_n$, given the first few terms in the sequence. $4, -\frac{9}{6}, \frac{16}{36}, -\frac{25}{216}, \dots$
True or False: The vice-president has the power to cast the deciding vote in the event of a tied vote in the House of Representatives. True False
Solve for $x$: $\log(x) + \log(x + 5) = 6$ $x = \boxed{\phantom{1234567890}}$ You may enter the exact value or round to 4 decimal places.
Problem 1. (7.5 points) Find the last digit of the following decimal integer $n$: $n = 2 \times (7^{1000}) + 7 \times (3^{9999})$
In rates, the denominator measures How many times an event occurs How many times an event could occur How many people in the entire population
Use logarithms to solve exponential equations Question Find the exact solution to $8^{x+8} = 2^x$. Provide your answer below: $x = \Box$ Content attribution
Exponents and Polynomials Dividing a polynomial by a monomial: Multivariate Divide. $(-13v^2x^3 + 32vx^2) \div (-4v^2x^3)$ Simplify your answer as much as possible.
Question 13 (1 point) Solve the equation. $$\sqrt{2x} + 8 = x + 4$$ O {-4} O {8} O {2, 8} O {-$$\frac{4}{3}$$}
4. A bag contains 8 marbles of different colors. In how many unique orders can 3 marbles be chosen? (Lesson 21.2) (2 points)
Find an equation of the slant asymptote. $$y = \frac{-9x^4 + 6x^2 + 2}{3x^3 - x}$$ Need Help? Read It SUBMIT ANSWER
Question 8 2 Points Expand $$ln\left(\frac{xy^3}{e^2}\right)$$. Assume x and y are positive real numbers. Use the editor to format your answer Continue
3) Perform the following operations and write your answer in scientific notation. $$ \frac{(4.8 \times 10^{-23})(7.2 \times 10^9)}{(9.0 \times 10^{-4})} = $$
13.10 - Expand Logarithm CURRENT OBJECTIVE Expand logarithmic expressions Question Write the expanded form of $$log\left(\frac{3}{5}x^2\right)$$. Provide your answer below: Content attribution
Question 24 Gilgamesh is: O completely divine O completely human O 2/3 divine and 1/3 human O 1/3 divine and 2/3 human
The rate of alcohol-impairment among drivers involved in a fatal crash is higher during the day than at night. True False
Solve the equation: $2w^2 - 3w + 16 = 9$. Full simplify your answer, including any non-real solutions. $w = $
What is the LCD of the fractions in the complex fraction $$ \frac{1 - \frac{7}{x-4}}{\frac{8}{x} + 1} $$ Additional Materials
Solve the polynomial inequality: $(x+4)(x+1)(x-7) > 0$ Give your answer in interval notation. Enter DNE if there is no solution.
Plot the point that has the given polar coordinates. $(-2, -\frac{\pi}{4})$ $\pi/2$ $2$ $1$ $-2$ $-1$ $0$ $1$ $-1$ $-2$ $\pi/2$ $2$ $1$ $-2$ $-1$ $0$ $1$ $-1$ $-2$ $\pi/2$ $2$ $1$ $-2$ $-1$ $0$ $1$ $-1$ $-2$ $\pi/2$ $2$ $1$ $-2$ $-1$ $0$ $1$ $-1$ $-2$
A p-value lets you know the percentage of times an event will take place in the future. True False
2.1 Express the function in the form $f \circ g \circ h$ if: $G(x) = (4 + \sqrt[3]{x})^9$ (3)
Rewrite the expression so that there is a common binomial factor. $$b(a - 4) - 2(4 - a)$$ x
Expand the following logarithmic expression as much as possible. $$\log_a (x^4 \sqrt{y^3})$$ Note: If you are using log you need to type it in and use the subscript button on the keyboard. There is no log button. Provide your answer below:
6. Solve for x: $$Log_4(x-3) + Log_4(x+3) = 2$$ Condense 1st Check Answers Show ALL work
The pattern w-w-h-w-w-w-h implies a _____ scale. A) major B) minor C) octave D) chromatic
Solve the equation. $9^{x+4} = 81^{2x-3}$ x = (Type an integer or an improper fraction.)
b. How many different ways can 4 students be chosen from a group of 20?
Simplify the following expression. Assume that each variable is positive. $$ \sqrt{\frac{58x^{12}}{49y^{12}}} $$
5) For the functions $f(x)=-\sqrt{x+1}$ and $g(x)=-2x$, find $(f \circ g)(x)$ and simplify.
Solve the equation for c. $y = cx + f$ $c = \square$
Solve the equation $8 - 4|3x + 2| = -4$ The solutions are:
5. Solve for x: $$Log_5 (6.5x + 300) = 4$$ Show ALL work
Write $$log \frac{4}{7} a^3$$ in expanded form. Provide your answer below: Content attribution
Question 7 Find $f_y(-18,6)$ for $f(x,y) = \sin(3x + 9y)$. Question 8
How many ways can 5 tiles be selected from 23 tiles?
Simplify the following expression. Assume that all variables are positive. $$\sqrt{50x^{10}y^6}$$
Question: Decompose the following quotient into partial fractions: $$ \frac{x^4-3x^3-9x^2+36x-35}{x^3+2x^2-7x+4} $$
Up to symmetry, how many different Frieze patterns are there? Up to symmetry, how many different Frieze patterns are there?
Simplify. ((x)/(x 8)-(5)/(x))/((x)/(x 8) (5)/(x)) Simplify. $$ \frac{\frac{x}{x+8} - \frac{5}{x}}{\frac{x}{x+8} + \frac{5}{x}} $$
Evaluate. (-6)^(3)= (-7)^(2)= Evaluate. $(-6)^3 = []$ $(-7)^2 = []$
(4.8)/(x)=(3)/(6)
(x)/(4)=(4.5)/(6)
(x)/(5)=(4.5)/(7.5)
Simplify. ((4y^(-5))/(y^(5)))^(2)
(x)/(3)=(6)/(4.8)
(5)/(x)=(9)/(4.5)
Solve the system of equations using matrices. Use the Gau x y z=3 x-y-z=3 x-y z=11 Select the correct choice below and, if necessary, fill in the a
Simplify. (v^(7))^(-4)
(x)/(5)=(4.5)/(9)
Simplify. (4 (9)/(2))/(5-(3)/(2))
Which function has a y-intercept of (2)/(3) ? a) f(x)=(6x 5)/(9x-7) b) f(x)=-(3x 2)/(5x-1) c) f(x)=-(5x 6)/(7x-9) d) f(x)=(3x 2)/(3x-1)
(1-(2x)/(3x-6))/(x-(72)/(3x-6))
Homework Perform the following calculations. Give the answer in the proper form. $$ \frac{4}{9} - \frac{1}{3} = \frac{\Box}{\Box} $$
Simplify the following expression. Assume that each variable is positive. $$\sqrt{27y^5}$$
(x)/(4.5)=(5)/(9)
7. A convex polyhedron is made out of equilateral triangles and regular pentagons. Five faces meet at each vertex, including at least one triangle and at least one pentagon. Determine the number of vertices, faces, and edges in the polyhedron.
The population for Mexico in 2014 is 118.8 million. The current population is 130.7 million. a.) Find the percent increase in population size. b.) Find the population density if the area of Mexico is approximately 762,000 square miles.
in the elections of 2008, What were the election results? Who won? How many electoral votes in the Electoral College did they receive? Which of the swing states did they win?
Three mechanics worked 15 , 14 3/4 and 18 1/8 hours respectively. What was the total cost of labour if the mechanics were paid $14.75 per hour?
When using a coordinate measuring system, one must make several calculations before machining. can almost completely eliminate scrap and rework. never has to calibrate the machine. must be an expert in mathematics.
How many different ways are there to form a 6-card hand from a deck of 27 cards?
from very early on, mathemeticians were interested in finding right triangles who sides has integer lengths
When angle 1 is 0 degrees what is the value of side y
When testing 6 cardinal fields of gaze a “palsy” (paralysis) of the 3,4, or 6th cranial nerves is recognized when BOTH eyes are ... Group of answer choices tracking in the same direction at the same time tracking away from the light source pupils constricting unevenly not tracking in the same…
If a new truck is valued at 36300 what will its value be in 1 year if it depreciates 8.4% each year
How many electoral votes are there in the U.S.? Group of answer choices 435 538 100 54
A person earns $4,648, but 45% goes to tax. How much money is left over after taxes? Round to the nearest cent.
What term of the sequence 2, 5, 8, 11, … is the number 77?
You want to take out a 252,000 mortgage loan. The interest rate on the loan is 4.6%, and the loan is for 30 years. Your monthly payments are 1, 291.86. How much will still be owed after making payments for 5 years? How much will still be owed after making payments for 10 years? How much will…
Suppose you want to have 700,000 for retirement in 35 years. Your account earns 6% interest. Round your answers to the nearest cent. How much would you need to deposit in the account each month? How much interest will you earn?
A hoist mechanism raises a crate with an acceleration (in m divided by s squared) a equals StartRoot 1 plus 0.25 t EndRoot, where t is the time in seconds. Find the displacement of the crate as a function of time if v equals 0 m divided by s and s equals 3 m for t equals 0 s.
Given the points A (1, 2, 3) and B (4, 5, 6). Find the coordinates of C and D and the area of the parallelogram if 𝐴𝐷#####⃗ = −9𝚤⃗ + 4𝚥⃗ + 7𝑘#⃗ . Write your answer in a simplified and exact solution
Use row operations on an augmented matrix to solve the given system of linear equations. x + y − z = −2 x + 2y + 3z = −5 2x − y − 13z = 8 (x, y, z) =
A grocer wants to mix two kinds of candy. One kind sells for $1.80 per pound, and the other sells for $2.75 per pound. He wants to mix a total of 27 pounds and sell it for $1.85 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest…
Find the hourly wage of a person with an income of $75,079 l, who works 40 hours a week for 46 weeks. Round your answer to 2 decimal places.
Tanya bought two adult tickets and one children's ticket to a movie for $16.10. Li bought four adult tickets and four children's tickets for $36.40. Find the cost of one adult ticket and the cost of one children's ticket.
A small plane flew 387 miles in 1.5 hours with the wind. Then on the return trip, flying against the wind, it traveled only 255 miles in 1.5 hours. What were the wind velocity and the speed of the plane? (Note: The "speed of the plane" means how fast the plane would be flying with no wind.)
Divide the polynomials. Express numbers using integers or simplified fractions. Check your answer by multiplication. (4t^(2)-28t^(3)+36t^(4))-:(4t)=
Solve the system by elimination or by any convenient method. (If the system is dependent, enter DEPENDENT. If there is no solution, enter NO SOLUTION.) 8x − 12y = 16 12x − 18y = 24 (x, y)
Divide the polynomials. Express numbers using integers or simplified fractions. Check your answer by multiplication. (24t+16t^(2)+4t^(3))-:(4t)
Find the quotient and remainder using long division for 5𝑥4 − 𝑥2 + 𝑥 − 2 divided by 𝑥2 + 2. 2. Quotient: Remainder:_
Simplify the expression. Write the answer with positive exponents only. Assume the variable represents a nonzero real number. v^(-3)-:v^(-9)
A plane flies 144 miles with the wind in 2 hours . The return trip takes 3 hours. What is the speed of the wind and the speed of the plane in still air?
rite the augmented matrix for the system of equations and use it to solve the system [1,1,1=2;-1,2,-1=1;2,-1,3=5]
Working her way through school, Julie works two part-time jobs for a total of 29 hours a week. Job A pays $6.30 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $197.10? (Round to two decimal places if necessary.)
Lorrie bought a new car for $23,143 and a friend who sells used cars told her that she could expect the car to depreciate by about 10% a year for the next 5 years. How long will it take for the car to have a value of $12,000? Round to the nearest tenth of a year.
Certain drugs are eliminated from the bloodstream at an exponential rate. Doctors and pharmacists need to know how long it takes for a drug to reach a certain level to determine how often patients should take medications. Write an exponential model for the following situation. The drug dosage…
Each cupcake sells for $2, and each muffin sells for $1.50. The bakery wants to produce at least 300 and no more than 500 muffins, and the same for cupcakes. How many cupcakes and muffins should the bakery produce to bring in the most money?
HarMathAp12 1.5.012. Solve the system by elimination or by any convenient method. (If the system is dependent, enter DEPENDENT. If there is no solution, enter NO SOLUTION.) 2x + 5y = 39 −6x + 2y = 36 (x, y) =
Simplify the expression. Write the answer with positive exponents only. Assume all variables represent nonzero real numbers. -((s^(7)t^(7))/(s^(7)))^(0)
Spade Realty sold lots for $23 240 per hectare. What are the total sales value if the lot sizes (in hectares) were 2 ½, 3 ¼ , 4 1/5?
Three consecutive even integers have a sum of 102. If x represents the least number in the set, what equation can be used to determine the value of the sum of the integers?
$9000 was borrowed from two sources, one that charges 12% simple interest and the other that charges 8% simple interest. If the total interest at the end of year was $1000 , how much money was borrowed from each source?
Prove that x^3+nx+2 is irreducible over X for all integer n not equal
What is the interval in set-builder notation? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.. [-3, 2)
Prove that x^3+nx+2 is irreducible over X for all integer n not equal 1,-3,-5
Use the commutative and associative properties of real numbers and the properties of exponents to simplify the expression. (-9y^(2))(7y^(8))(y^(3))=
determine is the system of equations (A,B, or C) makes a true statement. The lines coincide y=4x-1 y=4x-2
Use the Binomial Theorem to write the expansion of the expression. (x + 8y)4
Use the left-to-right elimination method to solve the system. x + 3y + z = 6 −y + 4z = 29 3z = 24 (x, y, z) =
Find the 20th term in the sequence 2, 4, 6, 8, ... show the initial setup, and then the final answer.
determine is the system of equations (A,B, or C) makes a true statement. The lines coincide y=-5x+1 y=-5x+1
If y2 - 6y+m is a perfect quadratic equation, what is the value of m
Use ordered pairs (3,56) and (7,85) to find the equation of a line that approximates the data
Determine whether the ordered pair (5,1) is a solution to the given system of equations. x+3y=8 2x−9=y
it is known that the equation 2x -a + 5 = 0. What is the value of a?
Calculate the 5th term in the expansion of (𝑥 − 2𝑦)7
Simplify the expression. Write your answer as an integer or simplified fraction. 7^(-1)
State whether the function is even, odd, or neither. g(x) = x3 − 7x
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