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Algebra Q&A Archive of February 21, 2024

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February 21 of 2024

Patrick is interested in opening a different account that will allow him to write a few checks each month for a fee per check but he is unable to maintain a minimum balance he should open a
Let M = ⎑ ⎒ ⎣ 3 βˆ’ 2 4 5 βˆ’ 1 βˆ’ 5 2 0 3 ⎀ βŽ₯ ⎦ The row echelon form of the matrix is (Use the Gauss-Jordan method so you don't have fractional entries, and do NOT eliminate common factors)
The Function is represented below as a list of ordered pairs. Use f(x) to answer the following questions F(x): {(0,8), (2,10), (4,14), (6,4), (8,6), (10,18), (12,12), (14,2), (16,16), (18,0)}
Let x= [3, 2, 1] and y= [2, 1, 3] be two elements of S3. Show that x y = [3, 1, 2]
Question content area top Part 1 The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p equals negative one sixth x plus 100 . Answer parts (a) through (e). Question content area bottom Part 1
7x - 2y = 3 4x + 5y = 3.25
The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p equals negative one seventh x plus 200 . Answer parts (a) through
Use synthetic division and the remainder theorem to find the remainder when f(x) is divided by x - c. f(x) = -5x^3 - 5x - 5; x + 3
Two years ago, Chad invested $1,520.00. He has earned and will earn compound interest of 8.00 percent per year. If Joyce invests $1,790.00 in 1 year from today and earns simple interest, then how much simple interest per year must Joyce earn to have the same amount of money in 6 years from…
Given: p = 2.59c + 1.72(8 - c) p = $18.11 To find c: $18.11 = 2.59c + 1.72(8 - c)
Question content area top Part 1 Find all real solutions. x^2/5 = 2 Question content area bottom Part 1 x = β€€β€€ enter your response here (Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.)
Solve the following quadratic inequality: x^2 - 6x + 8 < 0 Give your answer in interval notation.
Clara has invested P 10,000.00, part at 5% and the remainder at 10% simple interest. How much i invested at higher rate if the tota annual interest from this investment is P 950.00?
Suppose A is a 5 x 5 matrix for which det(A) = 3. What is the value of det(2A)?
A cafeteria offers tomato soup or pea soup served with saltines or sesame crackers. How many soup and cracker combinations are there?
Round to 1 decimal place 5.05 x 2.36 - 4.25 -:0.19 to second power
To find the polynomial that must be subtracted from 2x^3 - x^2 + 4x - 1 to obtain x^3 + 2x - 6, we need to perform polynomial subtraction.
example of a real world application of a linear equation in 2 variables
P(A cup B) = 0.6 and P(A cap B) = 0.2. Find P(A) + P(B). P(A) + P(B) =
Which one of the following is a point-normal form of the plane through the point (2,1,1) with normal (1,3,1)?
Write the point-slope form of the line that passes through (1,3) and (6,18).
The quantity x sold at this price is 75 units.
Let M = [ βˆ’ 3 1 βˆ’ 1 βˆ’ 2 βˆ’ 5 5 ] Enter the matrix formed by performing the row operation 2 R 1 + R 2 -> R 2 on M . The new matrix is
In the last race, the tortoise beat the hare, so the hare wants revenge, but it seems that he did not learn the lesson. In the new competition, the hare stops every time he finds a tree to take a minute nap and then keeps going again. The raccoon wants to make a bet, but he wants your help to…
How long will it take money to double if it is invested at the following rates? (B) 14.3% compounded weekly Question content area bottom Part 1 (Round to two decimal places as needed.)
Solve the system by substitution, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter a general solution in terms of x or y.) y = 2x βˆ’ 1 x + y = 14 (x, y) =
Hey Darian, needs 312 gallons of milk containing 6% butterfat. How many gallons of milk containing 7% butterfat and how many gallons of milk containing 1% butterfat must be used to obtain the desired 312 gallons?
Simplify the difference quotient F in parentheses A + H in parentheses minus F of A over H 4FX equals 2X squared minus 4X
find the equation of the line thay passes through (0,1) and perpendicular to the line y=5x-2
Write an equation for a line passing through the point (2,7) that is parallel to y equals two fifths x plus 5 . Then write a second equation for a line passing through the given point that is perpendicular to the given line.
Evaluate the expression 2 + 4i√5 and write the result in the form a + bi. If a and b are fractions, enter the simplified fraction, not a decimal approximation. The real number a equals ____. The real number b equals ____. Do not enter the i, just enter the value of b.
Suppose there are 186000 fast-food restaurants in the United States. If fast food represents 27% of the total restaurants, find the total number of restaurants.
Radical Form Rational Exponent Form √324 = βˆ’18 βˆ’(324^1/2) = βˆ’18
The price p (in dollars) and the quantity x sold of a certain product obey the demand equation. x equals negative 5 p plus 150 0 less than p less than or equals 30 Question content area bottom Part 1 (a) Express the revenue R as a function of p.
For a single-point tool operation such as turning, which can be modeled as an orthogonal cutting process, the uncut chip thickness corresponds to which one of the following?
bA student claims that the following system of equations is inconsistent, and that there are an infinite number of solutions. Explain why this answer is wrong. Give the correct description of the solution set. y = 1 2 x + 2 y = 0.5x + 2
the video store charges 3 dollars to rent a DVD. Every fifth DVD that a customer rents is free. Gary rented a total of 44 DVDs during the past year. How much did that cost him?
Which one of the following terms is defined as the total tax paid divided by the total taxable income?
A concert promoter sold 1,720 tickets resulting in $57, 600 in revenues. Reserve tickets sold for $40 and general admission tickets sold for $30. Based on this there were reserve tickets sold and general admission tickets sold.
Let M = ⎑ ⎒ ⎣ 2 βˆ’ 4 βˆ’ 3 5 1 2 βˆ’ 5 βˆ’ 2 0 ⎀ βŽ₯ ⎦ The row echelon form of the matrix is (Use the Fang Cheng method so you don't have fractional entries, and do NOT eliminate common factors)
Determine if the T is a linear transformation. T(x1, x2, x3) = (-6x2, 9x3) The function is a linear transformation. The function is not a linear transformation. Correct: Your answer is correct. If so, identify the matrix A such that T(x) = Ax. (If the function is not a linear transformation,…
The functions f and g are defined as follows. f(x) = (x^2)/(x-4) g(x) = (x+9)/(x^2 + 14x + 45) For each function, find the domain.
Mr. Braid owned 1/3 of the racehorse. He sold 1/4 of his interest in the racehorse for $18,000. What was the value of the racehorse?
The system of linear equations is: x + 6y - 6z = 13 y - 5z = 17
The range of the function `f(x) = sqrt(x-3)` is `y >= 0`.
Cindy sells personalized bobblehead HokieBird dolls on her website. Each customer gets to name their bobblehead HokieBird. The variable cost is $7 per bobblehead, and Cindy's fixed cost is $65 per week. Each bobblehead sells for $15. Find the weekly profit if Cindy makes and sells 15 bobblehead…
Simplify the following expression. 3x - 3y + 8x - 9y 3x - 3y + 8x - 9y = Do
We saw that the span of a single nonzero vector in R^2 traces out a line. Let v = 2i + 8j, so that the tips of every vector in span{v} trace out a line. Find the equation of that line. (Recall, the equation of a line can be written y = mx + b where m is the slope and b is the y-intercept. Can…
z^2 + 10z + 16 = 0
A problem states, A student is given the problem "paul has four fewer than five times as many coins as mike" she writes 5n-4. a. What does n tell the student? b. What does 5n-4 tell you
Solve the system of homogeneous linear equations: x1 + 2x2 - x3 + 2x4 = 0 x1 + 2x2 + 2x3 = 0 2x1 + 4x2 - 2x3 + 3x4 = 0
33. (T/F) det.A C B / D det A C det B
I need help with question 4 based on the information provided in #3. Attached is my scatter plot from #2. Please help with corrections. Jan, Feb, Mar, Dec Scatter Plot Using the data from 2008 and 2022, make January = 1, February = 2, March = 3, dots, December = 12, and plot (month, gas price)…
7x^2 + 39x = 18
Suppose A is a 5x5 matrix such that the solution set to the matrix equation Aβƒ—x = βƒ—0 consists of vectors in the form βƒ—x = t[1, 2, 3, 4, 5] for any real number t (so the solution set is a line in ℝ5). (a) What is the nullity of A? What is the rank of A? (b) Are the columns of A linearly…
a music store sells 3500 recording a month. how many are classical. 7%
Evaluate this expression. left parenthesis three fifths right parenthesis Superscript 0
Simplify the expression (x^(-4))/(2^(3)*5^(-3)). First, rewrite the expression using only positive exponents. (x^(-4))/(2^(3)*5^(-3))= Then, evaluate the exponents with numeric bases to completely simplify.
Go in the coordinate plane below plot the three points corresponding to the values X equals negative 2X equals zero and X equals two and the equation Y equals one half X -2
Possible: Graded Anonymously: No Simplify the expression ((6a^(2))/(2b^(3)))^(-2) using the indicated properties to complete each step. Comments: No Comments Drag and drop the expressions to the correct place in the sequence of steps. ((6a^(2))/(2b^(3)))^(-2)=(b^(6))/(9a^(4)) Rewrite using the…
The polynomial of degree 4, 𝑃(π‘₯), has a root of multiplicity 2 at π‘₯ = 4 and roots of multiplicity 1 at π‘₯ = 0 and π‘₯ = -4. It goes through the point (5, 36). Find a formula for 𝑃(π‘₯).
A company has fixed costs of $21,000 and it profits $12,540 off of 1,290 items. Find the linear profit function, P(x)
Johnny was able to drive an average of 22 miles per hour faster in his car after the traffic cleared. He drove 18 miles in traffic before it cleared and then drove another 80 miles. If the total trip took 3 hours, then what was his average speed in traffic?
List the symmetric and skew-symmetric parts of matrix [S] = 5 1 0 -1 1 0 0 0 1
Domain: All real numbers except x = 0 and x = 7.
The equation of the circle with center (-1,8) and radius √7 is: (x + 1)^2 + (y - 8)^2 = 7
Determine whether the pair of lines is parallel, perpendicular, or neither. y equals three fourths x minus 4 , y equals negative three fourths x plus 4
Solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. (If the solution set is empty, enter EMPTY or βˆ….) 3y < 5 βˆ’ 2y < 6 + y
An invoice is received on October 29th with the terms 5/10, 2/20, n/30 EOM. What are the cash discount cut-off dates (i.e. the last day to receive discount)?
Given subspaces U, W βŠ† V, the dimension of U + W is given by, dim(U + W) = dim(U) + dim(W) βˆ’ dim(U ∩ V). This is Theorem 1.4.6 in the notes. Use this to solve the following exercise. Nicholson 6.4.15. Let V be a finite-dimensional vector space over F and let βƒ—v1, βƒ—v2, . . . , βƒ—vn, βƒ—v in V. Let…
Steve has a blue pen and a black pen. He has a green notebook, a brown notebook, a red notebook, and a purple notebook. How many different pen and notebook combinations can Steve make?
A data silo occurs when one business unit is able to freely communicate with other business units from silo to silo. TRue or false
A line has a slope of -31/11. If y increases by 4 units, what is the corresponding change in x
Wanda's restaurant buys all of its non-food items at a local warehouse store. On a recent trip to the warehouse store, the restaurant owner spent $126.83 just for paper products. If paper products were only 22% of the entire purchase, find the total amount spent on that trip?
The discriminant of the given quadratic equation is -20. There are no real solutions.
A radioactive substance weighing 40 mg has a half-life of 1 week. What amount of this substance will there be in the beginning of the 5th week?
10x^2 - 11x + 7 ≀ 7 Solution set using interval notation: (-∞, ∞)
Solve the following quadratic equation by the square root method: -2(z + 7)^2 = -50
Write the set using the roster method. O is the set of positive three-digit numbers where the first digit is greater than the second by 1 and the third digit is greater than the first by 4 . Note that spaces are not required in the answer.
Who probably gets charged more for a Hertz rental car: Someone who reserves a car online weeks before a trip, or someone who walks up to a Hertz counter after a 4-5 hour airplane flight? a. Someone who reserves the car online weeks before a trip b. Someone who walks up to a Hertz counter…
3x + y + 4z = 13 x + 2y + 3z = 11 4x - 2y + 2z = 4
solve the following system of linear equation by substitution. x+y =150 and x=2y+30
Danielle wants to add a small amount of an acidic solution to milk to make buttermilk which of the following foods should she had
Why do h(x), k(x), and m(x) all have the same domain as the parent function y = √x?
Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary. 3x2+5x=1
Use the method of substitution to solve the following system of equations. If the system is dependent, express the set in terms of the variables. Leave all fractional answers in place. 2x + 5y = -9 -4x - 10y = 18
For each set of three distinct nonzero digits, consider the sum of all positive three-digit integers that can be formed by the digits. For example, for the three digits 1, 2, and 3, the sum of all positive three-digit integers that can be formed by the digits is 123 + 132 + 213 + 231 + 312 +…
3x^2 + 4x - 3
Miami is 665 miles away from Atlanta. Rita's car gets 35 miles per gallon of gasoline. How much gasoline will she use to drive from Miami to Atlanta?
The ratio of union members to nonunion members working for a company is 2 to 3 . If there are 51 nonunion members working for the company, what is the total number of employees?
compute the missing value. the price decreased from $16.50 to $13.20; the percent decrease was
Q2. (a) If Matrix A = [[4, 6, 6], [1, 3, 2], [- 1, - 4, - 3]] Evaluate A ^ - 1 , A ^ - 2 , A ^ - 3 .
The Palace of Darius and Xerxes (2.26) royal was burned by.....?
Whats the slope of any line thst is perpendicular to y=-1/5x+2
Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z. ⎧ βŽͺ ⎨ βŽͺ ⎩ 4x - 8y - 12z = 40 -9x + 11y + 34z = -55 3x - 4y - 11z = 20 x = y = z =
2 imes 2 matrices A, B, and C such that C is invertible and AC = BC but A eq B
Determine whether the statement is true or false. The lines y equals negative one eighth x plus 4 and y equals one eighth x minus 4 are parallel.
Question content area top Part 1 Determine whether the pair of lines is parallel, perpendicular, or neither. x plus 4 y equals 7 3 x plus 12 y equals 24
In one day a store sold 2/5 as many DVDs as Blu-ray disc the total number of DVDs and Blu-ray disc sold that day was 413 how many DVDs were sold
Augmented matrix: [[-18, -4, -56, 4], [-4, -5, -33, 5], [-4, -1, -13, 1]] Solution: x = -1 y = 3 z = 2
Solve the system below. Parameterize the solution set. ⎧ βŽͺ ⎨ βŽͺ ⎩ 3x + 15y + 3z + 3w - 2u = -23 25x + 125y + 29z + 21w - 19u = -213 14x + 70y + 17z + 11w - 11u = -123
Write a slope-intercept equation for a line with the given characteristics. m equals negative 9.2, y-intercept left parenthesis 0 comma two fifths right parenthesis
Find the equation of a circle in standard form where C(-1, -8) and D(5, -6) are endpoints of a diameter.
a. Let v₁=[[-4],[2],[0],[5],[0],[-3]], vβ‚‚=[[3],[0],[2],[-5],[0],[0]], and v₃=[[-1],[0],[0],[4],[2],[-4]] Use the Gram-Schmidt procedure to produce an orthogonal set. Note: Each uβ±Ό vector must be given in the same order as provided by the Gram-Schmidt procedure. The notation uβ±Ό*uβ‚– denotes the…
x = -50
Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z. ⎧ βŽͺ ⎨ βŽͺ ⎩ 27x - 18y - 6z = 42 9x - 4y - 3z = 10 -9x + 6y + 3z = -18 x = y = z =
According to the Consumer Expenditure Survey, the average American household spent $7,923 on food in 2018. About two-fifths of that amount was spent on eating out at restaurants. Calculate two-fifths of $7,923 to estimate the amount that was spent on eating out. Round to the nearest dollar.
What is the unit for APP? Group of answer choices Y/X Y X/Y X
Plot the points in the set on a real number line. (0,4/4, -1.55,-3,5/2)
Question content area top Part 1 Including a 7 % sales tax, an inn charges $ 206.51 per night. Find the inn's nightly cost before tax is added. Question content area bottom Part 1 $ β€€β€€ enter your response here
Show that the linear system Ax = 0 has only the trivial solution if and only if ad - be f- O.
Method 0.2 mg I am every four hour the label read 0.2 mg over milliliter what is the total number of milliliters the patient will receive in one day
Let V be a finite dimensional vector space with dim(V ) = n. Show that there are one dimensional subspaces U1, U2, . . . , Un βŠ† V such that, V = U1 βŠ• U2 βŠ• . . . βŠ• Un
a bakery, the fixed cost to produce a box of doughnuts is $280, and the total cost to produce 870 boxes of doughnuts is $5500. The boxes sell for $87 each. How many boxes must be produced and sold in order to break even?
20 milliliters of 6% solution is mixed with 80mL of another solution. The resulting mixture has a concentration of 3%. What is the concentration of the second solution that was used for the mixture
What is the mass in kilograms of 450 mL of mercury?
Classify the equation as an identity, a conditional equation, or a contradiction. 2/3x + 7 = 1/3x + 18
What is another way to ask, "If f(x) = 3x, what is f(8)?" The value of a function f of x is equal to 3 times x. What is the value of the function when x = 8? The value of a function f of x is equal to 3 times x. What is 8 times the function? The value of a function f of x is equal to 3 times x.…
The equation 3x + 7 = y represents a function. Write it using function notation. g(3x) = 3x + 7 g(x) = 3x + 7 g(7) = 3x g(y) = 3x + 7
The table shows the amount of money in your bank account over a period of 5 weeks. You plan to keep saving at the same rate unal you have \( \$ 800 \) in the account. Which equation could you use to find the number of weeks, \( n \), it would take to peach your…
been stuck on this question
You sold 10 pies at a bake sale for $6.50 each, but you spent $18.00 on bake sale supplies. Which equation shows how to calculate your profit, p? p = 6.50 Β· 10 - 18.00 p = 6.50 Β· 10 + 18.00 p = 18.00 Β· 10 p = 6.50 Β· 10
2 Lurk aluays disozesol hrr rowhef. 3. As we walled so atrol the ood rind Her. NSIerna 8yatin A1s Thacher
Which method will NOT solve this equation completely? -8 + 3y = 19 Add 8 to both sides, then divide both sides by 3. Divide both sides by 3, then add 8/3 to both sides. Add 8 to both sides, then multiply both sides by 1/3. Subtract 8 from both sides, then divide both sides by 1/3.
AS Ten: hon \( \mathrm{N}^{2} \) uxly
Andrew began solving this equation. What mistake did he make in Step One? x/8 + 7 = 22 Step One: 8 * x/8 + 7 = 22 * 8 Step Two: x + 7 - 7 = 176 - 7 There is no mistake. 8 * x/8 does not equal x. He did not multiply the entire left side by 8. He should have divided both sides by x to get 8.
Which step brings you closest to getting the variable alone on one side of the equation 16 = 7x - 5? Add 5 to both sides. Multiply both sides by 7. Subtract 5 from both sides. Divide both sides by 5.
Algebra (Solving Linear Equations in One Variable as Reasoning Process) - Item 7445 Andrew began solving this equation. What mistake did he make in Step One? x/8 + 7 = 22 Step One: 8 * x/8 + 7 = 22 * 8 Step Two: x + 7 - 7 = 176 - 7 There is no mistake. 8 * x/8 does not equal x. He did not…
Ejercite 1 Razona: 2-3-4 (4) En un banco internacional se realiza un estudio sobre el tiempo, en minutos, necesario para que 21 clientes lleven a cabo una transacciΓ³n bancaria. Los resultados se muestran en el siguiente diagrama. \begin{tabular}{c||cccccc} Tallo & \multicolumn{3}{l|}{ Hojas }…
Andrew began solving this equation. What mistake did he make in Step One? x/8 + 7 = 22 Step One: 8 * x/8 + 7 = 22 * 8 Step Two: x + 7 - 7 = 176 - 7 There is no mistake. 8 * x/8 does not equal x. He did not multiply the entire left side by 8. He should have divided both sides by x to get 8.
Which method will NOT solve this equation completely? -8 + 3y = 19 Add 8 to both sides, then divide both sides by 3. Divide both sides by 3, then add 8/3 to both sides. Add 8 to both sides, then multiply both sides by 1/3. Subtract 8 from both sides, then divide both sides by 1/3.
Andrew began solving this equation. What mistake did he make in Step One? x/8 + 7 = 22 Step One: 8 * x/8 + 7 = 22 * 8 Step Two: x + 7 - 7 = 176 - 7 There is no mistake. 8 * x/8 does not equal x. He did not multiply the entire left side by 8. He should have divided both sides by x to get 8.
session 1-wrting space
What is wrong with this solution? -6t + 16 = -8 Step One: -6t + 16 - 16 = -8 - 16 Step Two: -6 * -6t = -24 * -6 Solution: t = 144 -8 - 16 does not equal -24. -6t + 16 - 16 does not equal -6t. -6 * -6t does not equal t. Subtracting 16 from both sides does not undo the addition of 16.
You are solving 5 - 8/3 = y/3. Which equation will you get if you multiply both sides by 3? 3(5 - 8/3) = y/3 15 - 8 = y 5 - 8 = y 15 - 8 = y/9
Which step brings you closest to getting the variable alone on one side of the equation 16 = 7x - 5? Add 5 to both sides. Multiply both sides by 7. Subtract 5 from both sides. Divide both sides by 5.
There are 682 runners registered fo an upcoming race. What is 682 rounded to the nearest hundred? Explain on the back of the paper
Show that \( z= \) Set of integers is not bounded above bounded below.
Buy schoolthe school blazer 12500 iss of copper on a profit of 8 person find the cost price of blazer
Use the gaph to complete the given satements. fnter the letters A, B, C, or D in the boxes. The finction wi th the lowest output values as \( x \) approaches infinity is The function with the greated output walues as \( x \) approwhes infinity is thant Nent
analytical essay about the nails on the fence
6) Which inequality represents the solution set for this situation? \[ \mathrm{n}-8 \geq 12 \] a) \( n>4 \) c) \( n \geq 4 \) b) \( n \leq 20 \) d) \( n \geq 20 \)
5) After 4 new students joined a class, the class had 32 students. Which equation can be used to find \( n \), the number of students in the class before the 4 new students joined? f. \( \frac{n}{4}=32 \) 6. \( n=4=32 \) 11. \( 4 n=32 \) (J) \( n+4=32 \)
The formula for the lateral surface area of a prism is S = Ph, where P represents the perimeter of the base and h represents the height of the prism.
The formula for the total surface area of a prism is S =Ph + 2B, where B, is for the area of the base, P is for the perimeter of the base, and h is for the height of the prism.
\( \begin{array}{l} y=75 \\ v=\frac{9}{24}\end{array} \) SociologΓ­a \( \therefore \) Cruestro arΓ³.
Three squares are joined at the vertices to form a right triangle. The figure on the right shows the lengths of a side of two of the three squares. What could be the length of a side of the third square? (Note: The squares are not drawn to scale.) A 24 inches B 18 inches C 8 inches D 12 inches
A sphere has a diameter of 6 centimeters. Which of the following is closest to the volume of the sphere?
From Station A, a train heads 80 miles north before reaching Station B. From Station B, the train heads 60 miles west before reaching Station C. What could be the shortest distance between Station A and Station C? (Hint: The shortest distance between two points is a straight line.) A 140 miles…
tabla periodica de los elementos
Which one of the following measurements is closest to the volume of the cylinder?
Which one of the following measurements is closest to the distance between the point x and point y?
The rule for a reflection across the x axis is (x,y) -> ( x , - y )
A cylinder with a diameter of 12 units and height of 8 units has the circumference of base area of and lateral surface area of
The total surface area of the prism is The lateral surface area of the prism is
add &Subtract fraction
The sum of the ages of three siblings is 45. The oldest sibling is twice as old as the youngest sibling, and the middle sibling is 5 years older than the youngest. What are their current ages?
A company set auide a certain amount of money in the year 2000. The company spent evactly coactly \$S0,000 foe tor find each year co perks for its employees. In 2004 , there was still \( \$ 76,000 \) lefi in the fund. model the amount of moery left in the fund afier so many yeans.
\( \frac{1}{4} y-\frac{1}{2} y=4 \)
.The second central moment of a random voltage between -1 and 1 volts, with uniform distribution, is a) 1/√12 b) 1/12 c) 1/6 d) 1/3 e) none above
Question 3 of 27 \( 0 / 1 \) Your answer is incorrect. The table below gives data from a linear function. Find a formula Edit for the function. \begin{tabular}{|c|c|c|c|} \hline Temperature, \( \left({ }^{\circ} \mathrm{C}\right) y=f(x) \) & 0 & 15 & 20 \\ \hline Temperature, \( \left({…
5. \[ \begin{array}{l} 1 \frac{1}{4}=\frac{5}{4} \\ 1 \frac{1}{4}=\frac{3}{4}+\frac{2}{4} \end{array} \]
8. Twenty coins that are either dimes or quarters total \( \$ 2.60 \). Find the number of quarters.
\( \frac{1}{2} x+\frac{1}{3} x=10 \)
\( \frac{x}{3}+\frac{1}{2}=-2 x \)
Solve the following formula for the indicated variable. R = 2(x - 11) / 7 ; solve for x. Answer
The frequency modulated signal g(t) = 50 cos(Ο‰0 t + 4 cos(Ο‰m t) ) with carrier frequency Ο‰o=100,000 and modulation frequency Ο‰m=5,000 is a wideband FM signal. a) True b) False
\( \frac{n}{2}-\frac{2 n}{3}+\frac{3 n}{4}=-7 \)
Un quΓ­mico tiene dos grandes contenedores de soluciΓ³n de Γ‘cido sulfΓΊrico, con diferentes concentraciones de Γ‘cido en cada contenedor. La mezcla de 300 mL de la primera soluciΓ³n y 600 mL de la segunda le da una mezcla que es 15% Γ‘cida, mientras que si la mezcla 100 mL de la primera y 500 mL de…
help
b. \begin{tabular}{|c|c|} \hline\( m \) & \( 1-m \) \\ \hline 0 & \\ \hline\( \frac{2}{3} \) & \\ \hline 4 & \\ \hline 1.7 & \\ \hline \end{tabular}
A set of data has standard deviation in s of 23.86 and standard deviation in y of 31.44. If the correlation value of 0.72, what is the slope of the least-squares regression line
is your turn to challenge your classmates! Create a description for an algebraic expression and swap descriptions with a classmate. After you receive the algebraic expression back from your classmate, answer Question 3.
Calcular el volumen de la esfera con radio \( r=2 x-4 \)
Activity \# 2 : Translating Algebraic Expressions Direction : Translate the given phrases in column A to its mathematical phrases in Column B. Write only the letter on the space provided. COLUMN A 1. the number \( x \) doubled 2. The difference of a number \( x \) and eight 3. The average of…
d. A number multiplied by the square of a variable minus a number multiplied by the same variable minus a constar
=. The cube of a variable subtracted from a constant and then added to the square of the same variable.
111 = 14g solve equation
c. The cube of a variable subtracted from a constant and then added to the square of the same variable. d. A number multiplied by the square of a variable minus a number multiplied by the same variable minus a constant. It is your turn to challenge your classmates! 2. Crate a description for…
b. There are 4 terps. The first term is a variable divided by 11. This is added to a second term, which is a constant. The third term is a secohd variable multiplied by three-fourths. The third term is subtracted from the first 2 terms. The last term, a different constant, added to the other 3…
Identical twins stand on opposite ends of a 10N, 2m long board. Supporting the board at each end is on top of a scale. If the identical twins each weight 50N and stay at each end of the board, what will each scale read? If the twin on the right end walks towards the twin on the left what…
find each angle of a triangle if one angle is 4 times the smallest angle x and the other isangle.is 6 more than the x
The bandwidth of the signal g(t) = { cos(100Ο€ t) + sin(200Ο€ t) } cos(1000Ο€ t ) is a) 25 Hz b) 50 Hz c) 100 Hz d) 200 Hz e) none above
Expression Construction - Construct an algebraic expression for each description a. There are 2 terms. The first term is a constant. It is added to the second term, which is a product of a number and a variable.
My IXL. Learning pricents of numbers inv is the most accurate way to estimate \( 26 \% \) of \( 38 ? \) \[ \frac{1}{4} \times 40 \] \[ \frac{3}{4} \times 40 \] \[ \frac{1}{4} \times 41 \] \[ \frac{3}{4} \times 4 \] Eribmit Work it cut
A signal g(t) = 2 cos(Ο‰0 t ) cos(Ο‰m t) with Ο‰0 =10^6 and Ο‰m =10^3 is best described as a) VSB b) SSB c) DSB-SC d) AM (DSB-LC)
TALK the TALK Expression Construction 1. Construct an algebraic expression for each description. a. There are 2 terms. The first term is a constant. It is added to the second term, which is a product of a number and a variable.
The function \( y=\left(x^{2}+1\right)\left(x^{2}+2\right) \) has how many \( x \)-intercepts? a) 3 Is this right? b) 1 c) 0 d) 2
Find the sums by adding across,down and diagonally.
chtas l cherade math Thantsothumbers My IXL Learning Assessinten Estimate percents of numbers \( 9 \mathrm{CV} \) ich is the most accurate way to estimate \( 68 \% \) of \( 250 ? \) \( \frac{2}{3} \times 240 \) \[ \frac{1}{4} \times 240 \] \[ \frac{2}{3} \times 220 \] \[ \frac{1}{4} \times…
Part 4: Determininc an Equatien Given the Graph ef Transformed Function Example 4: Transformations are applied to each power function to obtain the reoulting graph. Determine an equation for the transformed furection. Then state the domain and range of the tranaformed function.
A Theorem 4. Each diagonal of a rhombus bisects opposite angles. Show Me! Given: Rhombus VWXY Prove: \( \angle 1 \cong \angle 2 \) \[ \angle 3 \cong \angle 4 \] Proof: \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Statements } & \multicolumn{1}{c|}{ Reasons } \\ \hline 1. & 1. Given…
What is the surface area in square centimeters of a regular tetrahedron if the slant height is 12 cm? 192√3 (b) 144√3 (c) 192√2 (d) 96√2
(2,3) (1,-2)
Name each vector, then write the vector in component form. 5. 6. 7.
reflection in mathematical and problem solving skills
Troy has an album that holds 400 hockey cards. Each page of the album holds 4 hockey cards. If 45​% of the album is​ empty, how many pages are filled with hockey cards​?
04. Persamaan lingkaran yang berpusat di \( \mathrm{O}(0,0) \) dan melalui titik \( (2 \sqrt{3}, 3) \) adalah... A. \( x^{2}+y^{2}=13 \) B. \( x^{2}+y^{2}=20 \) C. \( x^{2}+y^{2}=21 \) D. \( x^{2}+y^{2}=24 \) E. \( x^{2}+y^{2}=34 \)
adam had a paper that was big enough to tear into several tens of thousands of pieces. first he tore the paper into four corners. each of these pieces he took and tore into either four or ten pieces. he continued in the same way: he tore each new piece into four or ten smaller pieces.decide if…
Patrick is interested in opening a different account that will allow him to write a few checks each month for a fee per check but he is unable to maintain a minimum balance he should open a
Let M = ⎑ ⎒ ⎣ 3 βˆ’ 2 4 5 βˆ’ 1 βˆ’ 5 2 0 3 ⎀ βŽ₯ ⎦ The row echelon form of the matrix is (Use the Gauss-Jordan method so you don't have fractional entries, and do NOT eliminate common factors)
The Function is represented below as a list of ordered pairs. Use f(x) to answer the following questions F(x): {(0,8), (2,10), (4,14), (6,4), (8,6), (10,18), (12,12), (14,2), (16,16), (18,0)}
Let x= [3, 2, 1] and y= [2, 1, 3] be two elements of S3. Show that x y = [3, 1, 2]
Question content area top Part 1 The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p equals negative one sixth x plus 100 . Answer parts (a) through (e). Question content area bottom Part 1
7x - 2y = 3 4x + 5y = 3.25
The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p equals negative one seventh x plus 200 . Answer parts (a) through
Use synthetic division and the remainder theorem to find the remainder when f(x) is divided by x - c. f(x) = -5x^3 - 5x - 5; x + 3
Two years ago, Chad invested $1,520.00. He has earned and will earn compound interest of 8.00 percent per year. If Joyce invests $1,790.00 in 1 year from today and earns simple interest, then how much simple interest per year must Joyce earn to have the same amount of money in 6 years from…
Given: p = 2.59c + 1.72(8 - c) p = $18.11 To find c: $18.11 = 2.59c + 1.72(8 - c)
Question content area top Part 1 Find all real solutions. x^2/5 = 2 Question content area bottom Part 1 x = β€€β€€ enter your response here (Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.)
Solve the following quadratic inequality: x^2 - 6x + 8 < 0 Give your answer in interval notation.
Clara has invested P 10,000.00, part at 5% and the remainder at 10% simple interest. How much i invested at higher rate if the tota annual interest from this investment is P 950.00?
Suppose A is a 5 x 5 matrix for which det(A) = 3. What is the value of det(2A)?
A cafeteria offers tomato soup or pea soup served with saltines or sesame crackers. How many soup and cracker combinations are there?
Round to 1 decimal place 5.05 x 2.36 - 4.25 -:0.19 to second power
To find the polynomial that must be subtracted from 2x^3 - x^2 + 4x - 1 to obtain x^3 + 2x - 6, we need to perform polynomial subtraction.
example of a real world application of a linear equation in 2 variables
P(A cup B) = 0.6 and P(A cap B) = 0.2. Find P(A) + P(B). P(A) + P(B) =
Which one of the following is a point-normal form of the plane through the point (2,1,1) with normal (1,3,1)?
Write the point-slope form of the line that passes through (1,3) and (6,18).
The quantity x sold at this price is 75 units.
Let M = [ βˆ’ 3 1 βˆ’ 1 βˆ’ 2 βˆ’ 5 5 ] Enter the matrix formed by performing the row operation 2 R 1 + R 2 -> R 2 on M . The new matrix is
In the last race, the tortoise beat the hare, so the hare wants revenge, but it seems that he did not learn the lesson. In the new competition, the hare stops every time he finds a tree to take a minute nap and then keeps going again. The raccoon wants to make a bet, but he wants your help to…
How long will it take money to double if it is invested at the following rates? (B) 14.3% compounded weekly Question content area bottom Part 1 (Round to two decimal places as needed.)
Solve the system by substitution, if possible. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter a general solution in terms of x or y.) y = 2x βˆ’ 1 x + y = 14 (x, y) =
Hey Darian, needs 312 gallons of milk containing 6% butterfat. How many gallons of milk containing 7% butterfat and how many gallons of milk containing 1% butterfat must be used to obtain the desired 312 gallons?
Simplify the difference quotient F in parentheses A + H in parentheses minus F of A over H 4FX equals 2X squared minus 4X
find the equation of the line thay passes through (0,1) and perpendicular to the line y=5x-2
Write an equation for a line passing through the point (2,7) that is parallel to y equals two fifths x plus 5 . Then write a second equation for a line passing through the given point that is perpendicular to the given line.
Evaluate the expression 2 + 4i√5 and write the result in the form a + bi. If a and b are fractions, enter the simplified fraction, not a decimal approximation. The real number a equals ____. The real number b equals ____. Do not enter the i, just enter the value of b.
Suppose there are 186000 fast-food restaurants in the United States. If fast food represents 27% of the total restaurants, find the total number of restaurants.
Radical Form Rational Exponent Form √324 = βˆ’18 βˆ’(324^1/2) = βˆ’18
The price p (in dollars) and the quantity x sold of a certain product obey the demand equation. x equals negative 5 p plus 150 0 less than p less than or equals 30 Question content area bottom Part 1 (a) Express the revenue R as a function of p.
For a single-point tool operation such as turning, which can be modeled as an orthogonal cutting process, the uncut chip thickness corresponds to which one of the following?
bA student claims that the following system of equations is inconsistent, and that there are an infinite number of solutions. Explain why this answer is wrong. Give the correct description of the solution set. y = 1 2 x + 2 y = 0.5x + 2
the video store charges 3 dollars to rent a DVD. Every fifth DVD that a customer rents is free. Gary rented a total of 44 DVDs during the past year. How much did that cost him?
Which one of the following terms is defined as the total tax paid divided by the total taxable income?
A concert promoter sold 1,720 tickets resulting in $57, 600 in revenues. Reserve tickets sold for $40 and general admission tickets sold for $30. Based on this there were reserve tickets sold and general admission tickets sold.
Let M = ⎑ ⎒ ⎣ 2 βˆ’ 4 βˆ’ 3 5 1 2 βˆ’ 5 βˆ’ 2 0 ⎀ βŽ₯ ⎦ The row echelon form of the matrix is (Use the Fang Cheng method so you don't have fractional entries, and do NOT eliminate common factors)
Determine if the T is a linear transformation. T(x1, x2, x3) = (-6x2, 9x3) The function is a linear transformation. The function is not a linear transformation. Correct: Your answer is correct. If so, identify the matrix A such that T(x) = Ax. (If the function is not a linear transformation,…
The functions f and g are defined as follows. f(x) = (x^2)/(x-4) g(x) = (x+9)/(x^2 + 14x + 45) For each function, find the domain.
Mr. Braid owned 1/3 of the racehorse. He sold 1/4 of his interest in the racehorse for $18,000. What was the value of the racehorse?
The system of linear equations is: x + 6y - 6z = 13 y - 5z = 17
The range of the function `f(x) = sqrt(x-3)` is `y >= 0`.
Cindy sells personalized bobblehead HokieBird dolls on her website. Each customer gets to name their bobblehead HokieBird. The variable cost is $7 per bobblehead, and Cindy's fixed cost is $65 per week. Each bobblehead sells for $15. Find the weekly profit if Cindy makes and sells 15 bobblehead…
Simplify the following expression. 3x - 3y + 8x - 9y 3x - 3y + 8x - 9y = Do
We saw that the span of a single nonzero vector in R^2 traces out a line. Let v = 2i + 8j, so that the tips of every vector in span{v} trace out a line. Find the equation of that line. (Recall, the equation of a line can be written y = mx + b where m is the slope and b is the y-intercept. Can…
z^2 + 10z + 16 = 0
A problem states, A student is given the problem "paul has four fewer than five times as many coins as mike" she writes 5n-4. a. What does n tell the student? b. What does 5n-4 tell you
Solve the system of homogeneous linear equations: x1 + 2x2 - x3 + 2x4 = 0 x1 + 2x2 + 2x3 = 0 2x1 + 4x2 - 2x3 + 3x4 = 0
33. (T/F) det.A C B / D det A C det B
I need help with question 4 based on the information provided in #3. Attached is my scatter plot from #2. Please help with corrections. Jan, Feb, Mar, Dec Scatter Plot Using the data from 2008 and 2022, make January = 1, February = 2, March = 3, dots, December = 12, and plot (month, gas price)…
7x^2 + 39x = 18
Suppose A is a 5x5 matrix such that the solution set to the matrix equation Aβƒ—x = βƒ—0 consists of vectors in the form βƒ—x = t[1, 2, 3, 4, 5] for any real number t (so the solution set is a line in ℝ5). (a) What is the nullity of A? What is the rank of A? (b) Are the columns of A linearly…
a music store sells 3500 recording a month. how many are classical. 7%
Evaluate this expression. left parenthesis three fifths right parenthesis Superscript 0
Simplify the expression (x^(-4))/(2^(3)*5^(-3)). First, rewrite the expression using only positive exponents. (x^(-4))/(2^(3)*5^(-3))= Then, evaluate the exponents with numeric bases to completely simplify.
Go in the coordinate plane below plot the three points corresponding to the values X equals negative 2X equals zero and X equals two and the equation Y equals one half X -2
Possible: Graded Anonymously: No Simplify the expression ((6a^(2))/(2b^(3)))^(-2) using the indicated properties to complete each step. Comments: No Comments Drag and drop the expressions to the correct place in the sequence of steps. ((6a^(2))/(2b^(3)))^(-2)=(b^(6))/(9a^(4)) Rewrite using the…
The polynomial of degree 4, 𝑃(π‘₯), has a root of multiplicity 2 at π‘₯ = 4 and roots of multiplicity 1 at π‘₯ = 0 and π‘₯ = -4. It goes through the point (5, 36). Find a formula for 𝑃(π‘₯).
A company has fixed costs of $21,000 and it profits $12,540 off of 1,290 items. Find the linear profit function, P(x)
Johnny was able to drive an average of 22 miles per hour faster in his car after the traffic cleared. He drove 18 miles in traffic before it cleared and then drove another 80 miles. If the total trip took 3 hours, then what was his average speed in traffic?
List the symmetric and skew-symmetric parts of matrix [S] = 5 1 0 -1 1 0 0 0 1
Domain: All real numbers except x = 0 and x = 7.
The equation of the circle with center (-1,8) and radius √7 is: (x + 1)^2 + (y - 8)^2 = 7
Determine whether the pair of lines is parallel, perpendicular, or neither. y equals three fourths x minus 4 , y equals negative three fourths x plus 4
Solve the compound inequality. Express your answer using inequality signs, and then write your answer using interval notation. (If the solution set is empty, enter EMPTY or βˆ….) 3y < 5 βˆ’ 2y < 6 + y
An invoice is received on October 29th with the terms 5/10, 2/20, n/30 EOM. What are the cash discount cut-off dates (i.e. the last day to receive discount)?
Given subspaces U, W βŠ† V, the dimension of U + W is given by, dim(U + W) = dim(U) + dim(W) βˆ’ dim(U ∩ V). This is Theorem 1.4.6 in the notes. Use this to solve the following exercise. Nicholson 6.4.15. Let V be a finite-dimensional vector space over F and let βƒ—v1, βƒ—v2, . . . , βƒ—vn, βƒ—v in V. Let…
Steve has a blue pen and a black pen. He has a green notebook, a brown notebook, a red notebook, and a purple notebook. How many different pen and notebook combinations can Steve make?
A data silo occurs when one business unit is able to freely communicate with other business units from silo to silo. TRue or false
A line has a slope of -31/11. If y increases by 4 units, what is the corresponding change in x
Wanda's restaurant buys all of its non-food items at a local warehouse store. On a recent trip to the warehouse store, the restaurant owner spent $126.83 just for paper products. If paper products were only 22% of the entire purchase, find the total amount spent on that trip?
The discriminant of the given quadratic equation is -20. There are no real solutions.
A radioactive substance weighing 40 mg has a half-life of 1 week. What amount of this substance will there be in the beginning of the 5th week?
10x^2 - 11x + 7 ≀ 7 Solution set using interval notation: (-∞, ∞)
Solve the following quadratic equation by the square root method: -2(z + 7)^2 = -50
Write the set using the roster method. O is the set of positive three-digit numbers where the first digit is greater than the second by 1 and the third digit is greater than the first by 4 . Note that spaces are not required in the answer.
Who probably gets charged more for a Hertz rental car: Someone who reserves a car online weeks before a trip, or someone who walks up to a Hertz counter after a 4-5 hour airplane flight? a. Someone who reserves the car online weeks before a trip b. Someone who walks up to a Hertz counter…
3x + y + 4z = 13 x + 2y + 3z = 11 4x - 2y + 2z = 4
solve the following system of linear equation by substitution. x+y =150 and x=2y+30
Danielle wants to add a small amount of an acidic solution to milk to make buttermilk which of the following foods should she had
Why do h(x), k(x), and m(x) all have the same domain as the parent function y = √x?
Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary. 3x2+5x=1
Use the method of substitution to solve the following system of equations. If the system is dependent, express the set in terms of the variables. Leave all fractional answers in place. 2x + 5y = -9 -4x - 10y = 18
For each set of three distinct nonzero digits, consider the sum of all positive three-digit integers that can be formed by the digits. For example, for the three digits 1, 2, and 3, the sum of all positive three-digit integers that can be formed by the digits is 123 + 132 + 213 + 231 + 312 +…
3x^2 + 4x - 3
Miami is 665 miles away from Atlanta. Rita's car gets 35 miles per gallon of gasoline. How much gasoline will she use to drive from Miami to Atlanta?
The ratio of union members to nonunion members working for a company is 2 to 3 . If there are 51 nonunion members working for the company, what is the total number of employees?
compute the missing value. the price decreased from $16.50 to $13.20; the percent decrease was
Q2. (a) If Matrix A = [[4, 6, 6], [1, 3, 2], [- 1, - 4, - 3]] Evaluate A ^ - 1 , A ^ - 2 , A ^ - 3 .
The Palace of Darius and Xerxes (2.26) royal was burned by.....?
Whats the slope of any line thst is perpendicular to y=-1/5x+2
Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z. ⎧ βŽͺ ⎨ βŽͺ ⎩ 4x - 8y - 12z = 40 -9x + 11y + 34z = -55 3x - 4y - 11z = 20 x = y = z =
2 imes 2 matrices A, B, and C such that C is invertible and AC = BC but A eq B
Determine whether the statement is true or false. The lines y equals negative one eighth x plus 4 and y equals one eighth x minus 4 are parallel.
Question content area top Part 1 Determine whether the pair of lines is parallel, perpendicular, or neither. x plus 4 y equals 7 3 x plus 12 y equals 24
In one day a store sold 2/5 as many DVDs as Blu-ray disc the total number of DVDs and Blu-ray disc sold that day was 413 how many DVDs were sold
Augmented matrix: [[-18, -4, -56, 4], [-4, -5, -33, 5], [-4, -1, -13, 1]] Solution: x = -1 y = 3 z = 2
Solve the system below. Parameterize the solution set. ⎧ βŽͺ ⎨ βŽͺ ⎩ 3x + 15y + 3z + 3w - 2u = -23 25x + 125y + 29z + 21w - 19u = -213 14x + 70y + 17z + 11w - 11u = -123
Write a slope-intercept equation for a line with the given characteristics. m equals negative 9.2, y-intercept left parenthesis 0 comma two fifths right parenthesis
Find the equation of a circle in standard form where C(-1, -8) and D(5, -6) are endpoints of a diameter.
a. Let v₁=[[-4],[2],[0],[5],[0],[-3]], vβ‚‚=[[3],[0],[2],[-5],[0],[0]], and v₃=[[-1],[0],[0],[4],[2],[-4]] Use the Gram-Schmidt procedure to produce an orthogonal set. Note: Each uβ±Ό vector must be given in the same order as provided by the Gram-Schmidt procedure. The notation uβ±Ό*uβ‚– denotes the…
x = -50
Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z. ⎧ βŽͺ ⎨ βŽͺ ⎩ 27x - 18y - 6z = 42 9x - 4y - 3z = 10 -9x + 6y + 3z = -18 x = y = z =
According to the Consumer Expenditure Survey, the average American household spent $7,923 on food in 2018. About two-fifths of that amount was spent on eating out at restaurants. Calculate two-fifths of $7,923 to estimate the amount that was spent on eating out. Round to the nearest dollar.
What is the unit for APP? Group of answer choices Y/X Y X/Y X
Plot the points in the set on a real number line. (0,4/4, -1.55,-3,5/2)
Question content area top Part 1 Including a 7 % sales tax, an inn charges $ 206.51 per night. Find the inn's nightly cost before tax is added. Question content area bottom Part 1 $ β€€β€€ enter your response here
Show that the linear system Ax = 0 has only the trivial solution if and only if ad - be f- O.
Method 0.2 mg I am every four hour the label read 0.2 mg over milliliter what is the total number of milliliters the patient will receive in one day
Let V be a finite dimensional vector space with dim(V ) = n. Show that there are one dimensional subspaces U1, U2, . . . , Un βŠ† V such that, V = U1 βŠ• U2 βŠ• . . . βŠ• Un
a bakery, the fixed cost to produce a box of doughnuts is $280, and the total cost to produce 870 boxes of doughnuts is $5500. The boxes sell for $87 each. How many boxes must be produced and sold in order to break even?
20 milliliters of 6% solution is mixed with 80mL of another solution. The resulting mixture has a concentration of 3%. What is the concentration of the second solution that was used for the mixture
What is the mass in kilograms of 450 mL of mercury?
Classify the equation as an identity, a conditional equation, or a contradiction. 2/3x + 7 = 1/3x + 18
What is another way to ask, "If f(x) = 3x, what is f(8)?" The value of a function f of x is equal to 3 times x. What is the value of the function when x = 8? The value of a function f of x is equal to 3 times x. What is 8 times the function? The value of a function f of x is equal to 3 times x.…
The equation 3x + 7 = y represents a function. Write it using function notation. g(3x) = 3x + 7 g(x) = 3x + 7 g(7) = 3x g(y) = 3x + 7
been stuck on this question
You sold 10 pies at a bake sale for $6.50 each, but you spent $18.00 on bake sale supplies. Which equation shows how to calculate your profit, p? p = 6.50 Β· 10 - 18.00 p = 6.50 Β· 10 + 18.00 p = 18.00 Β· 10 p = 6.50 Β· 10
Which method will NOT solve this equation completely? -8 + 3y = 19 Add 8 to both sides, then divide both sides by 3. Divide both sides by 3, then add 8/3 to both sides. Add 8 to both sides, then multiply both sides by 1/3. Subtract 8 from both sides, then divide both sides by 1/3.
Andrew began solving this equation. What mistake did he make in Step One? x/8 + 7 = 22 Step One: 8 * x/8 + 7 = 22 * 8 Step Two: x + 7 - 7 = 176 - 7 There is no mistake. 8 * x/8 does not equal x. He did not multiply the entire left side by 8. He should have divided both sides by x to get 8.
Which step brings you closest to getting the variable alone on one side of the equation 16 = 7x - 5? Add 5 to both sides. Multiply both sides by 7. Subtract 5 from both sides. Divide both sides by 5.
Algebra (Solving Linear Equations in One Variable as Reasoning Process) - Item 7445 Andrew began solving this equation. What mistake did he make in Step One? x/8 + 7 = 22 Step One: 8 * x/8 + 7 = 22 * 8 Step Two: x + 7 - 7 = 176 - 7 There is no mistake. 8 * x/8 does not equal x. He did not…
Andrew began solving this equation. What mistake did he make in Step One? x/8 + 7 = 22 Step One: 8 * x/8 + 7 = 22 * 8 Step Two: x + 7 - 7 = 176 - 7 There is no mistake. 8 * x/8 does not equal x. He did not multiply the entire left side by 8. He should have divided both sides by x to get 8.
Which method will NOT solve this equation completely? -8 + 3y = 19 Add 8 to both sides, then divide both sides by 3. Divide both sides by 3, then add 8/3 to both sides. Add 8 to both sides, then multiply both sides by 1/3. Subtract 8 from both sides, then divide both sides by 1/3.
Andrew began solving this equation. What mistake did he make in Step One? x/8 + 7 = 22 Step One: 8 * x/8 + 7 = 22 * 8 Step Two: x + 7 - 7 = 176 - 7 There is no mistake. 8 * x/8 does not equal x. He did not multiply the entire left side by 8. He should have divided both sides by x to get 8.
What is wrong with this solution? -6t + 16 = -8 Step One: -6t + 16 - 16 = -8 - 16 Step Two: -6 * -6t = -24 * -6 Solution: t = 144 -8 - 16 does not equal -24. -6t + 16 - 16 does not equal -6t. -6 * -6t does not equal t. Subtracting 16 from both sides does not undo the addition of 16.
You are solving 5 - 8/3 = y/3. Which equation will you get if you multiply both sides by 3? 3(5 - 8/3) = y/3 15 - 8 = y 5 - 8 = y 15 - 8 = y/9
Which step brings you closest to getting the variable alone on one side of the equation 16 = 7x - 5? Add 5 to both sides. Multiply both sides by 7. Subtract 5 from both sides. Divide both sides by 5.
The formula for the lateral surface area of a prism is S = Ph, where P represents the perimeter of the base and h represents the height of the prism.
The formula for the total surface area of a prism is S =Ph + 2B, where B, is for the area of the base, P is for the perimeter of the base, and h is for the height of the prism.
Three squares are joined at the vertices to form a right triangle. The figure on the right shows the lengths of a side of two of the three squares. What could be the length of a side of the third square? (Note: The squares are not drawn to scale.) A 24 inches B 18 inches C 8 inches D 12 inches
A sphere has a diameter of 6 centimeters. Which of the following is closest to the volume of the sphere?
From Station A, a train heads 80 miles north before reaching Station B. From Station B, the train heads 60 miles west before reaching Station C. What could be the shortest distance between Station A and Station C? (Hint: The shortest distance between two points is a straight line.) A 140 miles…
Which one of the following measurements is closest to the volume of the cylinder?
Which one of the following measurements is closest to the distance between the point x and point y?
The rule for a reflection across the x axis is (x,y) -> ( x , - y )
A cylinder with a diameter of 12 units and height of 8 units has the circumference of base area of and lateral surface area of
The total surface area of the prism is The lateral surface area of the prism is
Solve the following formula for the indicated variable. R = 2(x - 11) / 7 ; solve for x. Answer
A set of data has standard deviation in s of 23.86 and standard deviation in y of 31.44. If the correlation value of 0.72, what is the slope of the least-squares regression line
111 = 14g solve equation
What is the surface area in square centimeters of a regular tetrahedron if the slant height is 12 cm? 192√3 (b) 144√3 (c) 192√2 (d) 96√2
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