Solve.On a construction site, a winch is used to wind cable onto the drum of the winch. For the first layer of cable, the line pull P of the winch is related to the diameter D of the drum by the formula P = 
where k is a constant. If P = 4800 lb and D = 6 in., find the value of the constant k in foot-pounds. (Hint: Convert D to feet first.)
A. 800 ft lb
B. 2400 ft lb
C. 28,800 ft lb
D. 9600 ft lb
Answer: B
Mathematics
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?Find the volume of a right circular cylinder with radius 4 ft and height 8 ft surmounted by a semi-sphere of radius 4 feet.
A.
?
? ft3
B.
?
ft3
C.
?256? ft3
D.
?
? ft3
E.
?
ft3
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Solve. 15 + 2x - x2 = 0
A. 3, -5 B. 5, -3 C. 5, 3 D. -3, -5
Mathematics
Perform the indicated operations.Estimate by rounding so that there is only one nonzero digit, then find the actual sum.3,415 + 172 + 97 =
A. Estimate: 4300 Actual: 3682 B. Estimate: 3000 Actual: 3694 C. Estimate: 3300 Actual: 3684 D. Estimate: 3200 Actual: 3587
Mathematics
Factor the four-term polynomial by grouping.10a3 + 8a2b - 25ab2 - 20b3
A. (10a2 - 5b2)(a + 4b) B. (2a2 - 5b)(5a + 4b) C. (2a2 - 5b2)(5a + 4b) D. (2a2 + 5b2)(5a - 4b)
Mathematics