Solve the problem. Round your answer, if appropriate.The volume of a rectangular box with a square base remains constant at 900 cm3 as the area of the base increases at a rate of 2 2/sec. Find the rate at which the height of the box is decreasing when each side of the base is 12 cm long. (Do not round your answer.)

A.  cm/sec
B.  cm/sec
C.  cm/sec
D.  cm/sec


Answer: B

Mathematics

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Solve the system by the addition method. Be sure to check all proposed solutions.x + y = 4x - y = -12

A. {(-4, 8)} B. {(4, 9)} C. {(-5, 9)} D. ?

Mathematics

Provide an appropriate response.In extreme temperatures, concrete can experience a ±1.2% change in length after it is laid. Considering this, if 20 ft sections of concrete are laid for a bridge during cold weather, what width of expansion joint must be allowed so that the bridge will not buckle in hot weather? Round your answer to the nearest hundredth of a foot.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Eliminate the parameter t in the following: ? 

What will be an ideal response?

Mathematics

The current San Francisco cable railway is driven by two large 16-foot-diameter drive wheels, called sheaves. Because of the figure-eight system used, the cable subtends a central angle of 270° on each sheave. Find the length of cable riding on one of the drive sheaves at any given time. ?    ? ??a = 16 ?

A. 38.7 feet B. 35.7 feet C. 40.7 feet D. 37.7 feet E. 33.7 feet

Mathematics