Solve the problem.A car on a test track described by x = 0.40t3, y = 19t - 1.7t2, where x and y are measured in meters and t is in seconds. Find the acceleration of the car at 

A. 5.1 m/s2, 340.5°
B. 10 m/s2, 340.5°
C. 10 m/s2, 160.5°
D. 5.1 m/s2, 160.5°


Answer: B

Mathematics

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Factor the trinomial completely.12x4 + 42x3 - 24x2

A. (12x2 - 6)(x2 + 4) B. 6x(2x + 1)(x - 4) C. x2(2x - 1)(6x + 24) D. 6x2(2x - 1)(x + 4)

Mathematics

Express as a single logarithm and, if possible, simplify.logax + loga y

A.  loga xy
B. loga (x2/7 y1/5)
C. loga (x2/7 + y1/5)
D. loga (xy2/35)

Mathematics

Graph the function. State whether it is increasing, decreasing, or constant..g(x) = 4x - 6

A. increasing

B. decreasing

C. increasing

D. decreasing

Mathematics

Suppose that in the loan described, the borrower made a larger payment, as indicated. Calculate (a) the time needed to pay off the loan, (b) the total amount of the payments, and (c) the amount of interest saved, compared with the original loan and payments.$140,000; 8% compounded quarterly; 15 quarterly payments; with larger payment of $20,000.

A. (a) 7 quarters (b) $140,000 (c) $16,657.32 B. (a) 7 quarters (b) $130,248.91 (c) $16,560.32 C. (a) 8 quarters (b) $146,841.23 (c) $16,592.32 D. (a) 8 quarters (b) $160,000 (c) $16,715.32

Mathematics