During a promotional event, a sporting goods store gave a free T-shirt to every 8th customer and a free water bottle to every 10th customer. Which customer was the first to get a free T-shirt and a free water bottle? A. the 10th customer B. the 20th customer C. the 40th customer D. the 80th customer

Graph

$$y = \frac { ( \cos x ) ( 1 - \cos 2 x ) } { \sin 2 x }$$

to discover an identity. Then prove the identity.

The double box-and-whisker plot shows the goals scored per game by two hockey teams during a 20-game season.

a. Compare the populations using measures of center and variation.

b. Express the difference in the measures of center as a multiple of the measure of variation.

Find the absolute maximum and minimum values of the function on the given interval. Then graph the function. Identify the points on the graph where the absolute extrema occur, and include their coordinates. f(x) = -x - 4, -4 <= x <= 1

The double box-and-whisker plot shows the points scored per game by two football teams during the regular season.

a. Compare the populations using measures of center and variation.

b. Express the difference in the measures of center as a multiple of the measure of variation.

During a science experiment, the temperature of a solution in Beaker 1 was 5 degrees below zero. The temperature of a solution in Beaker 2 was the opposite of the temperature in Beaker 1. What was the temperature in Beaker 2? A. -5 degrees B. 0 degrees C. 5 degrees D. 10 degrees

Cy has 42 baseball cards and 70 football cards that he wants to group into packages. Each package will have the same number of cards, and each package will have the same numbers of baseball cards and football cards. How many packages will Cy make if he uses all of the cards? A. 7 B. 10 C. 14 D. 21

The table shows the results of buying pretzels from a vending machine. The x column is the amount you put into the machine. The y column is the change you receive back from the machine. Complete the table and state the rule in words.

$$\begin{matrix} \text{x} & \text{y}\\ \text{0.65} & \text{0}\\ \text{0.70} & \text{0.05}\\ \text{0.75} & \text{0.10}\\ \text{1.00}\\ \end{matrix}$$

Tia is buying paper cups and plates. Cups come in packages of 12, and plates come in packages of 10. She wants to buy the same number of cups and plates, but she wants to buy the least number of packages possible. How much should Tia expect to pay if each package of cups costs $3 and each package of plates costs$5? Explain.

A rectangular field is 70 feet long and 30 feet wide. If fencing costs $8 per yard, how much will it cost to enclose the field?

Sketch a figure that has rotational symmetry. Describe the angle of rotation.

Solve for y: 8y - 7x + 9y = 112x

Two point charges are placed on the x-axis as follows: Charge $q _ { 1 } = + 4.00 n C$ is located at x = 0.200 m, and charge $q _ { 2 } = + 5.00 n C$ is at x = -0.300m. What are the magnitude and direction of the total force exerted by these two charges on a negative point charge $\mathrm { q } _ { 3 } = 6.00 nC$ that is placed at the origin?

What is the least common multiple of 5 and 150? A. 5 B. 50 C. 15 D. 150