Solve.The volume of a given mass of gas varies directly as the temperature and inversely as the pressure. If the volume is  when the temperature is  and the pressure is  per square inch, then what is the volume when the temperature is  and the pressure is 

style="vertical-align: -4.0px;" /> pounds per square inch?

A. 482 cubic inches
B. 462 cubic inches
C. 442 cubic inches
D. 33 cubic inches

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Answer: B

Mathematics

Translate the verbal phrase into a mathematical expression. Use x to represent the unknown number.A number minus 51

A. x + 51 B. 51 C. 51x D. x - 51

Solve the problem.Suppose that during a certain step in a chemical manufacturing process the amount of hydrogen sulfide dissolved in a solution, measured in parts per million (ppm), is related to the elapsed time measured from the beginning of the step. Use the following table as a representation of this relationship. Write the data from the table as ordered pairs (x, y), where x represents the time and y represents the amount dissolved.

A. (1, 22.0), (2, 24.4), (3, 26.4), (4, 28.4), (5, 30.2) B. (4, 22.0), (8, 24.4), (12, 26.4), (16, 28.4), (20, 30.2) C. (0, 22.0), (4, 24.4), (8, 26.4), (12, 28.4), (16, 30.2) D. (22.0, 4), (24.4, 8), (26.4, 12), (28.4, 16), (30.2, 20)

Find the standard deviation for each data set. Round to one more place than the data.64, 71, 56, 71, 51, 41, 52, 22, 72

A. 17.7 B. 6.9 C. 15.6 D. 16.5

For the given functions f and g, find the requested function and state its domain.f(x) = 16 - x2; g(x) = 4 - xFind f + g.

A. (f + g)(x) = 4 + x; {x|x ? -4} B. (f + g)(x) = x3 - 4x2 - 16x + 64; all real numbers C. (f + g)(x) = -x2 - x + 20; all real numbers D. (f + g)(x) = -x2 + x + 12; all real numbers