Solve the problem.A cube has sides of length 7x. A second, smaller cube has sides of length 3. Find an expression, in factored form, for the difference of the volumes of the two cubes.

A. (343x3 - 1)(x - 27)
B. (7x - 3)3
C. (7x + 3)(49x2 - 21x + 9)
D. (7x - 3)(49x2 + 21x + 9)


Answer: D

Mathematics

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Solve the problem.The northern third of Indiana is a rectangle measuring 96 miles by 132 miles. Thus, let  Assuming that the total annual snowfall (in inches), S(x,y), at  is given by the function S(x,y) = 60e-0.001(2x + y) with (x,y) ? D, find the average snowfall on D.

A. 52.06 inches B. 51.14 inches C. 52.44 inches D. 51.78 inches

Mathematics

Write a system of equations for the problem, and then solve the system.If a plane can travel 310 miles per hour with the wind and only 290 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.

A. Plane: 10 mph; wind: 300 mph B. Plane: 300 mph; wind: 20 mph C. Plane: 300 mph; wind: 10 mph D. Plane: 400 mph; wind: 10 mph

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Completely reduce the fraction. ?

What will be an ideal response?

Mathematics

Simplify.14 ÷ 0.8 - 5 × 0.082

A. 17.3400 B. 0.08 C. 1 D. 17.4680

Mathematics