Solve the problem.The number G of gears a machine can make varies directly as the time T it operates. If it can make 8381 gears in 8 hours, how many gears can it make in 11 hours?
A. 11,523.88 gears
B. 1047.63 gears
C. 0.0105 gears
D. 8400 gears
Answer: A
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Answer the question appropriately.Find the linearization of f(x) = sin x at x = 2. Round the coefficients to 2 decimal places.
A. L(x) = -0.42x + 0.07 B. L(x) = -0.42x +1.74 C. L(x) = 0.42x + 0.49 D. L(x) = cos x
Solve the problem.Four married couples have reserved eight seats in a row at the theater, starting at an aisle seat. In how many ways can they arrange themselves if there are no restrictions on the seating arrangement?
A. 8 B. 40, 320 C. 5040 D. 16,777,216
Answer the question.A four dimensional simplex S4 has how many 2-faces?
A. 15 B. 4 C. 10 D. 5
Solve the problem.Suppose the following matrix represents the input-output matrix of a primitive economy that depends on two basic goods, yams and pigs. How much of each commodity should be produced to get 12 bushels of yams and 14 pigs? (It is not necessary to round to a whole-number quantity of pigs.)
A. 21.5 bushels of yams and 29.25 pigs B. 21.5 bushels of yams and 24.75 pigs C. 28.5 bushels of yams and 18.75 pigs D. 33.75 bushels of yams and 18.75 pigs