Solve the problem.The strength S of a rectangular wooden beam is proportional to its width times the square of its depth. Find the dimensions of the strongest beam that can be cut from a
cylindrical log. (Round answers to the nearest tenth.)
A. w = 7.1 in.; d = 12.4 in.
B. w = 9.1 in.; d = 12.4 in.
C. w = 9.1 in.; d = 10.4 in.
D. w = 8.1 in.; d = 11.4 in.
Answer: D
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Find the exact value by using a half-angle identity.sin
A.
B.
C.
D.
Solve the problem.Consider a population that decays according to an exponential model. The initial population is P0 = 46,875 and the common ratio is r = 0.8. How many generations will it take for the population to fall below 10,000?
A. 5 B. 7 C. 6 D. 4 E. none of these
Find the least common multiple (LCM) of the list of numbers.7, 14
A. 7 B. 21 C. 14 D. 98
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = , g(x) =
A. g shifts the graph of f vertically down 1 unit
B. g shifts the graph of f vertically up 1 unit
C. g shifts the graph of f 1 unit to the left
D. g shifts the graph of f 1 unit to the right