Math 26

Question 1:

What is the volume, in cubic centimeters, of a rectangular box with length 10 centimeters, width 4 centimeters, and height 9 centimeters?

Question 2:

Marie has 5 black kittens and 2 striped kittens that she needs to give away. If she randomly chooses one of these 7 kittens, what is the probability that it is striped?

Question 3:

What is the center of the circle with equation (x + 4)² + (y – 4)² = 4 in the standard (x,y) coordinate plane?

Question 4:

In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has endpoints (-2,5) and (4, 9)?

Question 5:

Whenever tanθ/cosθ is defined, it is equal to:

Question 6:

What are the real values of s that make this inequality true?

Question 7:

[Calculator Allowed] In the equation below, C represents the maximum number of kelp an artificial environment can support. What will be the number of kelp in two years if C = 5000? Round your final answer to the nearest whole number.

Question 8:

[Calculator Allowed]  In the equation below, C represents the maximum number of kelp an artificial environment can support. The Marine Biologist would like to expand her environment to allow more kelp to grow. If the environment will produce 480 additional kelp next year, what is the maximum amount of kelp the new environment can support?