Solve the given applied problems involving variation.The mass of a liquid varies directly as its volume V. If the mass of the liquid in a cubical container 4 cm on a side is 128 g, find the mass of the liquid in a cubical container 5 cm on a side.
A. 10 g
B. 125 g
C. 250 g
D. 105 g
Answer: C
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Identify the set as finite or infinite.{x | x is an odd counting number}
A. Finite B. Infinite
The following data show the distance D, in millions of miles, and the period P, in years, of five of the planets. (The period is the time required for one revolution about the sun.) Planet Mercury Venus Earth Mars Jupiter P 0.24 0.62 1 1.88 11.87 D 36 67.1 92.9 141.7 483.4? A: Use power regression to model the distance as a function of the period. Use two digits of accuracy for the coefficient and for the power.B: Plot the data along with the power model you found in part A.C: If one planet takes twice as long to orbit the sun as another, how do their distances from the sun compare? Round your to two decimal places.
What will be an ideal response?
Use the rules for exponents to rewrite the expression and then evaluate the new expression. (-2)2(-2)3
A. -64
B. -32
C. 
D. 
Solve the problem.Find the area A and circumference C of a circle of diameter 18 in.. Use 3.14 for ?. Round the result to the nearest tenth.
A. A = 1017.4 in.2; C = 28.3 in. B. A = 113 in.2; C = 28.3 in. C. A = 254.3 in.2; C = 56.5 in. D. A = 56.5 in.2; C = 56.5 in.