1) There are 8 essay questions in an exam. Students are required to answer only 2 of them. In how many ways can a student choose the essay questions to answer?

Q: Bethany needs to borrow $11,000. She can borrow the money at 5.5% simple interest for 6 yr or she…

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Q: In the diagram below AB 15, BE= 18, EF = 11, AB AE, AD BE and AC||FE.Calculate each of the…

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Q: At 6am the temperature in Volusia, Pennsylvania was 63 degrees Fahrenheit. By 4pm thr the…

A: topic= algebraic operations

Q: Freddy makes 20% more than Albert but Freddy makes 15% less than Sally. If Sally makes $14175 more…

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Q: two cyclists start at the same point and travel in opposite directions. One cyclist travels  4 kmh…

A: Speed of slower cyclist =xdistance covered by slower cyclist =3xSpeed of faster cyclist =x+4distance…

Q: Write an equation of the form y=a sinbx or y=a cos bx to describe the graph below.

A: Given query is to find the equation of the graph.

Q: Solve each equation by using the quadratic formula, SHOW YOUR WORK. Simplify your answers. 2x + 5x =…

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Q: -3 Given A = {a, b, c} B = {a, c, d, e}C= {a, d, f, g} find: 4. BnC %3D 5. AUC 6. AUBUC

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Q: 1. Simplify: a) v16a16 b) Vm36n64 c) V18

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Q: how about complex number solutions?

A: Apologies for the inconvenience. One solution is x=-1, other 5 solutions we will get from x5=-32.

Q: The writing was a little confusing. Can the steps be explained properly

A: Given that: F(x)=1-3x,   x<4Ax2+2x-3,  x>4   To find: Find the values of A, so that the…

Q: Let A and B be matrices defined as and B= 10 Find a matrix X which satisfies the following matrix…

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Q: Given three data points (1, 6). (3, 28), and (10, 231), it is found that the function y= 2x +3x + 1…

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Q: Write the function in vertex by completing the uare steps SHOW YOUR WORK. Simplify your swers. 8. y…

A: Given problem:- Write the function in vertex by completing the square steps SHOW YOUR WORK. Simplify…

Q: 2. Follow the directions of Exercise 1 using the weighted Euclidean inner product (u, v) = }u,V, +…

A: As per the company guidelines we are supposed to answer only first three subparts.Kindly repost the…

Q: what is 1 hour to 72 minutes in simplest form

A: what is 1 hour to 72 minutes in simplest form

Q: Question 1 Callie is sending her nephew a soccer ball for his birthday. She packs the ball in a…

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Q: Construct an obtuse angle to duplicate. Describe the steps that it took to complete the duplication.

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Q: Using the numbers from 1 to 50 inclusive, find the greatest possible value of the expression: (x +…

A: Find your answer below

Q: 5+6=x

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Q: Define the sequence {an} as follows: aj = 2 an = an-i + 2n for n > 2

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Q: Four different linear functions are represented below. Function 1 Function 2 104s y 8- -2 15 - 1 10…

A: Graph, points and equation of a linear function is given, we have to find its y-intercept.

Q: You are building a new desk for your room and decide to make it triangular in shape. You want to be…

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Q: Time between Eruptions of Old Faithful (n-222) 100 80 60 40- 20- 45 54 63 72 81 90 99 Time between…

A: We have to analyze the given graph and tell how we can improve it.

Q: 1) Use the matrix approach to solve the following system of equations x + 2y = 4 За — 7у — —1. Yes,…

A: Firstly , we write the given system of equation in augmented form and after that we apply row…

Q: Marcus receives an inheritance of $2,000. He decides to invest this money in a 14-year certificate…

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Q: The function f is defined by f (x) =Vx. Write down the expression for g (x).

A: The given graph is: To find g(x)

Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

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Q: The ratio of the 8th and 3rd term of a GP is 243. What is the common ratio of the progression?

A: Given, The ratio of the 8th and 3rd term of a GP is 243.

Q: Solve the quadratic equation for k in simplest form. 1010101010101010 10:0:0101/ 0101 13 Show…

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Q: 2x + 15 x+15 80 5. To find the length of LE and OV in the given figure, which of the following…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Given the geometric sequence, find the value of r and a12. -1, 3, -9, 27, .. Or = -3 a12 = 177147…

A: We can find the correct answer in the following steps.

Q: Determine the accumulated value after 15 years of deposits of $250.00 made at the beginning of every…

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Q: ind the x-intercept(s) and the coordinates of the vertex for the parabola y=-x´-10x-25. If there is…

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Q: Given the geometric sequence, find the 8th term: 4, –8, 16, –32, ...

A: The objective is to find the 8th term of the geometric sequence.

Q: Let f : R → R be defined by f(x) = -3x². Is f a linear transformation? a. f(x + y) = f(x) + f(y) =…

A: linear or not

Q: |The doubling period of a bacterial population is 20 minutes. At time t = 110 minutes, the bacterial…

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Q: Determine the number of real solutions using the quadratic equation. 101010101010101011…

A: Given problem:- 2n2-10n-8=0 To find:- number of real solutions of given quadratic equation

Q: . gal5334

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Q: R K + ab", If all the graphs above have equations with form y = Which graph has the largest value…

A: Given, All graphs are of the form, y=abx a is initial value(y intercept- (0,a)) Growth- b>1…

Q: A roasted turkey is taken from an oven when its temperature has reached 185° Fahrenheit and is…

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Q: {2} € A and {3} E A implies that {2, 3} C A. Select one: O True O False

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Q: 18 10. Find g'(10), if g(x) = 20x + (5+10x)1/2° 3-5x 11. Find f'(x), if (i) f (x) = (x² – 1)(x5 +…

A: 10) Given:          gx=20x+185+10x12          g'x=ddx20x+185+10x12…

Q: A sports ball has a diameter of 7cm. Find the volume of ball

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Q: 9.2 19 18.4 20.6 23

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Q: 9х + 4 f(x) х — 4 Find the equations of the horizontal asymptotes and the vertical asymptotes of…

A: Solve the following

Q: 2. How much greater is the circumference of a circle with a radius of 10m than a circle with a…

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Q: For the following matrices, find the determinant using two ways, 2 3 1 1 1' 1 4 -1 A = 0 1 4 B = | 1…

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Q: The marginal average cost of producing x digital sports watches is given by the function C'(x),…

A: Given query is to find the the average cost function and cost function

Q: Solve the equation. Give an exact answer using the log function and an approximate solution to 4…

A: Consider the equation  45x=7