Use the four-step procedure to solve the variation problem.The amount of water used to take a shower varies directly as the amount of time that the shower is in use. A shower lasting 22 minutes requires 13.2 gallons of water. Find the amount of water used in a shower lasting 6 minutes.

A. 4.2 gallons
B. 3.6 gallons
C. 3 gallons
D. 132 gallons


Answer: B

Mathematics

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Which of the following can be assumed to be true? ?

A.

?If , then b> c.


B.

?If , then b< c.


C.

?If , then .


D.

?The mean of  is .


E.

?None of the above are true.


Mathematics

Solve the problem.The length and width of a rectangle must have a sum of 40 feet. Find the dimensions of the rectangle whose area is as large as possible.

A. length 19 ft; width 21 ft
B. length 20 ft; width 20 ft
C. length 20 ft; width 60 ft
D. length  ft; width  ft

Mathematics

Use the following notations: r = radius of a circle, v = linear velocity, ? = angular velocity. Find the missing quantity. Round to the nearest tenth if necessary.v = 27 ft/sec, r = 3 ft, ? = ?

A. 81 rad/sec B. 81 ft/sec C. 9 rad/sec D. 24 rad/sec

Mathematics

Answer the question.The given graph is that of the derivative of a function f. Using information obtained from the graph of f' and the fact that f(-1) = - and f(1) = , sketch the graph of f. Explain how you obtained the graph of f. 

What will be an ideal response?

Mathematics