Cumulative Exam — Cumulative exam Answers

Ines created a coefficient matrix to represent the system of linear equations below.Which type of matrix did Ines create?

The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

A profit formula for a single tire can be modeled by the function P(t) = –18t2 + 850t – 725. Each set of tires can be modeled by the function t(s) = 4s. Which composite function can be used to determine the profit function in terms of the number of sets of tires?

Haji rows his canoe 10 mph in still water. He noticed one day that he could row 4 miles upstream in the same amount of time he could row 6 miles downstream. What was the approximate speed of the current that day?

Matrix X is shown below.If matrices X and Y are equal, what is the value of

If y is a positive integer, for how many different values of y is a whole number?

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

Which matrix equation can be used to solve the systems of equations below?3x - 2y = -36x - 5y = -9

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1?

What is the following quotient?

What are the vertical and horizontal asymptotes for the function ?

Sharon is jumping from an 18-foot diving board with an initial upward velocity of 4 ft/s. When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground. To the nearest hundredth of a second, how long after she jumps does the ball reach Sharon?

Which solution to the equation is extraneous?

What is the following sum?

Given matrices G and H below, which statement is true?

Amir encoded a secret phrase using matrix multiplication. Using A = 1, B = 2, C = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. The matrix representing the encoded text is . What is the secret phrase? Determine the location of spaces after you decode the text.

Which function represents the following graph?

The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation , where p represents the resistivity of the wire’s material, L represents the length of the wire, and d represents the diameter of the wire. What happens to the resistance of the wire as the diameter approaches 0?

For which scatterplot is the correlation strongest?

What is the determinant of ?