What is the volume of a cereal box with depth 8 centimeters, width 21 centimeters, and height 32 centimeters?


Mathematics

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Suppose a firm's degree of financial leverage (DFL) is 1.0. Which of the following statements concerning this firm is correct?

A. The firm must have fixed costs associated with its production process. B. The firm's earnings per share (EPS) must equal zero. C. The firm's degree of total leverage (DTL) must equal 1.0. D. The firm's degree of operating leverage (DOL) must be greater than 1.0. E. The firm has no long-term debt, preferred stock, or other sources of financing that require fixed payments.

Mathematics

Solve.A guy wire to a tower makes a 70° angle with level ground. At a point 38 ft farther from the tower than the wire but on the same side as the base of the wire, the angle of elevation to the top of the tower is 37°. Find the length of the wire (to the nearest foot).

A. 42 ft B. 89 ft C. 47 ft D. 84 ft

Mathematics

An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 5;T = 10 seconds

A. d = 5 cos (10t)
B. d = 5 cos 
C. d = -5 cos (10t)
D. d = -5 cos 

Mathematics

For the function g(t) = determine the average rate of change between the values t = 0 and t = c+1.

What will be an ideal response?

Mathematics