Solve the problem.The number of centimeters, d, that a spring is compressed from its natural, uncompressed position is given by the formula d = 
, where W is the number of joules of work done to move the spring and k is the spring constant. Solve this equation for W. Use the result to determine the work needed to move a spring 2 centimeters if it has a spring constant of 0.4.
A. W = 2d2k; 3.2 joules
B. W = 
; 0.2 joules
C. W = 
; 20 joules
D. W = 
; 0.8 joules
Answer: D
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Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.cot 
A. 3.08 B. 182.44 C. 3.14 D. 182.38
Find all solutions of the equation. Leave answers in trigonometric form.x5 - 32 = 0
A. 2 cis 0, 2 cis 
, 2 cis 
, 2 cis 
, 2 cis 
B. 32 cis 0, 32 cis 
, 32 cis 
, 32 cis 
, 32 cis 
C. 2, -2
D. 2 cis 
, 2 cis 
, 2 cis ?, 2 cis 
, 2 cis 
Solve the problem.A hiker is at point A as shown in the graph and wants to take the shortest route through a field to reach a nearby road represented by 
. The shortest route will be to walk perpendicular to the road. Is 
the shortest route? Explain.
A. The product of the slopes of the two lines is 
? 
, which is equal to -1, so 
is perpendicular to 
and is therefore the shortest route.
B. The product of the slopes of the two lines is 
? 
, which is equal to -1, so 
is not perpendicular to 
and is therefore not the shortest route.
C. The product of the slopes of the two lines is 
? 6, which is equal to 1, so 
is not perpendicular to 
and is therefore not the shortest route.
D. The product of the slopes of the two lines is 
? 6, which is equal to 1, so 
is perpendicular to 
and is therefore the shortest route.
Solve the problem.A car wheel has a 16-inch radius. Through what angle (to the nearest tenth of a degree) does the wheel turn when the car rolls forward 5 ft?
A. 219.9° B. 229.9° C. 214.9° D. 224.9°