Cumulative Exam — Cumulative exam Answers

What is radians converted to degrees? If necessary, round your answer to the nearest degree.

How long is the arc intersected by a central angle of radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3.14 for .

Which system is equivalent to ?

What is the value of y in the sequence below?

The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?

Which of the following is true regarding the solution to the logarithmic equation below?

The height of the equilateral triangle below is 15 units. What is the value of x?

What is sum of the geometric series ?

By what approximate factor is the intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3?M = the magnitude of an earthquakeI = the intensity of an earthquakeI0 = the smallest seismic activity that can be measured, which is 1

What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12, ....?

Which of the following shows the true solution to the logarithmic equation

For which value of is csc () undefined?

What is the value of ?

In the triangle below, represents which ratio?

The depth of the water, d, at the end of a pier changes periodically as a function of time, t, in hours as shown in the graph below. According to the model, the last low tide occurred at 5:00 a.m. When will the next low tide occur? Let t = 0 be 12:00 a.m.

Two students created a game of dice. They determined that each roll would add the value of the die if it was an odd number. If the roll was even, it would subtract the value of the die. (For example, a roll of 2 would subtract two points, but a roll of 3 would add three points.) What is the expected value for this game?

A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?

What is the value of given the diagram below?

Marleny is creating a game of chance for her family. She has 5 different colored marbles in a bag: blue, red, yellow, white, and black. She decided that blue is the winning color. If a player chooses any other color, they lose 2 points. How many points should the blue marble be worth for the game to be fair?

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation . What is the frequency of the tuning fork?