1.Write a equation describing the relationship of the given variables.

y varies directly as the fourth power of x and when x=2, y=112.

y=

2.Write a equation describing the relationship of the given variables.

y varies inversely as the cube root of x and when x=27, y=2.

y=

3.Use the given information to find the unknown value.

y varies directly as the cube of x . When x=2 , then y=7 . Find y when x=3 .

Enter the exact answer.

y=

4.Use the given information to find the unknown value.

y varies inversely with the cube of x. When x=5, then y=1. Find y when x=1.

Enter the exact answer.

y=

5.Use the given information to answer the question.

The distance ss that an object falls varies directly with the square of the time, t, of the fall. If an object falls 16 feet in one second, how long will it take for it to fall 160 feet?

Round your answer to two decimal places.

It will take ____________ seconds for the object to fall 160 feet.

6.Use the given information to answer the question.

The weight of an object above the surface of the Earth varies inversely with the square of the distance from the center of the Earth. If a body weighs 50 pounds when it is 3,960 miles from Earth's center, what would it weigh if it were 3,980 miles from Earth's center?

Round your answer to two decimal places.

The body would weigh ____________ pounds if it were 3,980 miles from Earth's center.

7.Use a calculator to evaluate the expression.

Round your answer to the nearest hundredth.

arccos(2524?)?_______ radians

8.Use a calculator to evaluate the expression.

Round your answer to the nearest hundredth.

arcsin(0.15)?__________ radians

9.Find the angle ?, in radians, in the given right triangle. The length of the side adjacent to?is 18 and the length of the side opposite?is 13.