Solve the problem.A rectangular yard is designed to have an area of  Express the perimeter P as a function of the width w. Find P by evaluating the function for the following values of w (in m): 24.9, 24.99, 24.999, 25.1, 25.01, 25.001.

A. 115.1 m
B. 57.8 m
C. 115.7 m
D. 115.6 m


Answer: D

Mathematics

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A.   sin ? -   sin ? + C
B.   sin ? +   sin ? + C
C.   cos ? +   cos ?+ C
D.  sin 3? +  sin 7? + C

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Evaluate the function at the given values of the variable.f(x) = 6x - 1a. f(-1)b. f(-2)

A. -5, -11 B. -6, -12 C. -7, -13 D. 6, 12

Mathematics

Solve the problem.The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 21 minutes requires 10.5 gallons of water. Find the amount of water used in a shower lasting 5 minutes.

A. 105 gal B. 2.5 gal C. 3 gal D. 2 gal

Mathematics

Solve the problem. Round your answer to two decimal places.The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of  per hour?

A. 154.05 ft B. 142.09 ft C. 141.75 ft D. 121.5 ft

Mathematics