Solve the proportion for the item represented by a letter.
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__________
Fill in the blank(s) with the appropriate word(s).
638
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Find the derivative of the function.g(x) = x(x6 + 9)1/3
A. g '(x) = 
B. g '(x) = 
C. g '(x) = 
D. g '(x) = 
Solve.Assume that in 1985, the annual consumption of pork was about 55 lb per person and that in 1997, it was about 31 lb per person. In addition, assume that consumption is decreasing according to the exponential decay model. Find the value k, and write an exponential function that describes pork consumption after time t, in years. (Round decimals to three places.)
A. k = -0.048; C(t) = 55e-0.048t, where t is the number of years since 1997. B. k = 0.286; C(t) = 55e0.286t, where t is the number of years since 1985. C. k = 0.048; C(t) = e-0.048t, where t is the number of years since 1985. D. k = 0.048; C(t) = 55e-0.048t, where t is the number of years since 1985.
Solve the system of equations.x2 - 3y2 = 14x2 + 3y2 = 19
A. (2, 1) and (-2, -1) B. (1, 2), (-1, 2), (1, -2), (-1, -2) C. (2, 1), (2, -1), (-2, 1), (-2, -1) D. (-1, 2) and (1, -2)
Solve the problem.A reflecting telescope has a mirror shaped like a paraboloid of revolution. If the distance of the vertex to the focus is 30 feet and the distance across the top of the mirror is 68 inches, how deep is the mirror in the center?
A. 
in.
B. 
in.
C. 
in.
D. 
in.