The area of a rectangular wall in a classroom is 372 square feet. Its length is 5 feet shorter than three times its width. Find the length and width of the wall of the classroom.

Q: Find a formula for the quadratic function whose graph has a y-intercept at y 7 and z-intercepts at…

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Q: 6 In(x - 4) = 30 %3D

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Q: 10. How many numbers between 11 and 200 are exactly divisible by 7? Find their sum.

A: To Find : a) number of integers between 11 and 200 that are exactly divisible by 7. b) Sum of…

Q: 4 4. Find the measure of each arc or angle in OE. 60° A АВ C. DAB a. 45° D. b. ZABC d. ZBCD

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Q: Ex. 3: Represent the following as a power with a negative exponent: a) 25 1 b) 16 d) 0.000 01 1000…

A: Solve by simplfying

Q: А. 2х В. ( cot 6 )x + у -3 C. 2 - 5y = 8 =4 С.

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: . How is the equation of a hyperbola different from the equation of an ellipse?

A: How is the equation of a hyperbola different from the equation of an ellipse?

Q: 8. Find the indicated term of each harmonic sequence. 1 1 1 1 a. 5'8' 11' 14' * 10th term | 1 1 1 b.…

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Q: SHOW SOLUTION. A population of 1000 members is changing at the following rates c =10%, u=14%,…

A: Let's find.

Q: 49. Out of 15 rare books, 5 of which are especially valuable, 3 are taken at random by a friend.…

A: We know that Probability of any event is defined as  P(E)= Total favourable Cases/Total Cases

Q: Let T: R3 → R3 be a linear transformation such that T(1, 1, 1) = (4, 0, –1), T(0, –1, 2) = (-5, 3,…

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Q: Determine the principal P that must be invested at rate r = 3 %, compounded monthly, so that…

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Q: 12. Determine if the set of ordered pairs is a relation or a funce {(-3,0), (-1,3), (1,0), (3, 3)}…

A: We have to find out

Q: solve using square root method 4x2 +81 = 0

A: 4x2+81=04x2 +81-81 =0-814x2+0=-814x2=-81x2 =-814

Q: The graph below depicts a function f(x). Its two asymptotes are indicated in red: The graph below…

A: From the graph, note that: 1) The function f(x) is not defined at x=-1 2) The function g(x) is not…

Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

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Q: What is the surface area of the pyramid formed from the net shown here? The triangles are…

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Q: šample of 294 adults is selected. The adults are classified according to voter registration status…

A: Solution:- We required to find relative frequency of adults jn the sample who prefer to obtain their…

Q: Graph the vector function 7(t) = (t3 + 1)ï + tj:

A: We have to find the graph of the vector function…

Q: 19. Find the sum using the summation formulas. 105 > (5k? – 7k + 14) k=1

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Q: Solve the exponential equation below: Show what logarithm(s) you use to solve, then round your…

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Q: < Previous Next Practice similar Consider the function x-3 f(x) : (-2x+6)(2x + 9) Enter the…

A: Here, the given function is: f(x)=x-3(-2x+6)(2x+9)=x-3-2(x-3)(2x+9)=-12(2x+9)

Q: Suppose there are three countries in the world: Quarterville, Greatstown, and Bostown. These three…

A: Here, from the given data: The quantity of Pomogramnates in Quarterville will decrease. So, one has…

Q: 11. Find the sum of each series. 211 10 (3+ 4i) i= 2 (2i + 3) i = 1 a. b. с. IMō

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Q: 13. The population, P, of a town, is modelled by the equation P = 6x + 7x+ 750, where x is the…

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Q: Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t…

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Q: A function is shown in the table below. If included in the table, which ordered pair, (-4,1) or…

A: To find which ordered pair makes  the given function a relation.

Q: 47. A box contains five orange and two green marbles. What is the probability that an orange marble…

A: Total number of marbles: 5 orange + 2 green=7choosing 1 marble from 7 marble: 71choosing 1 marble…

Q: 4. Rewrite log(AB²) in terms of logA and logB, or state that this is not possible. log(AB?) = ,

A: We will solve the logarithm problem.

Q: Put the equation y = x² + 8x + 7 into the form y = (x – h)² + k: Answer: y =

A: Given, y= x²+8x+7 To bring the equation to the form,  y= (x-h)²+k

Q: TrueFun Entertainment sells four types of products: DVDS, video games, radios, and CDs. The numbers…

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Q: Question 2: Consider the following matrices: 1 a) Show that AB = BA = 1 and therefore B = A b) Find…

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Q: Complete the equation for the piecewise function graphed below. 3- -7 -6 -5 -4 -3 -2 -1 5 6 7 -2 -3…

A: Graph of function

Q: =) = x(x? – 1) b. P(x)= x - 6 c. P(x) = x - 10x2 + 6

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Q: 3. Find the indicated term in each arithmetic progression. progression. a. a, = 4, d= 5, n 12 %3D 1…

A: To find the indicated term in each arithmetic progression : (a)  a1= 4 , d= 5 , n=12 (b) a1= 1/2 ,…

Q: 5/6 divided by 5

A: Given query is to perform the division.

Q: 8. A computer company manufactures and sells laptops. The graph below shows how their profit per…

A: From the graph  f(55)=7000

Q: expression for the function f(x) whose graph is a line passing through the points (-8,-9) and (-6,6)…

A: Given query is to find the equation of the line passing through the indicated points.

Q: 2. f(x) = 3x - 1; g(x) = 4 – 2x

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Q: 7. Write the algebraic definition for the piecewise function graph. +2 +2 f(z) –

A: Given :y=x+2 and y=-x+2that are shown in diagram

Q: x+2 a) x²+10x+16 x²+12x+35 b) x+5 2х-8 х-4 c) 2х-6 X-3

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Q: -3 -10 1 G] = [B] = 10 3 6. -1 4. -6 -10 [G] + [B} = Submit Question

A: Given query is to perform matrix addition.

Q: Save Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed…

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Q: Question one doesn't look correct becasue you are using 3x instead of 34x. Is there a reason for…

A: Apologies for the inconvenience. It was a writing mistake. Here is the correct solution.   The given…

Q: A D 16. Determine whether the functions are inverses by composing one with the other. f(2) = 11z + 4…

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Q: Find a third degree polynomial function with zeros 3,-4, and 2

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Q: 3. Determine the equation of a parabola with a vertex of (6, -4) and we know that this parabola has…

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Q: |æ + 6| = 5 * = 11 or x = 1 * = -11 or æ = -1

A: To solve the given equation.  |x+6|=5.

Q: MD 1.2 1 Summer was mixing paints. She needs cups of blue paint for every cup of red paint. One can…

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Q: 7. Simplify the following expression. 10n-8 (2 -(5n) + n -2

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