Solve the problem.If f(x) =
x2 + 4 and g(x) = 2x - a, find a so that the graph of f ? g crosses the y-axis at 36.
Fill in the blank(s) with the appropriate word(s).
8 or -8
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Determine an appropriate domain of the function. Identify the independent and dependent variables.A cylindrical water tank with a radius of 8 feet and a height of 73 feet is filled to a height of h. The volume V of water (in cubic feet) is given by the function g(h) = 64?h.
A. D = [0, 73] The independent variable is V. The dependent variable is h. B. D = [0, 4672?] The independent variable is V. The dependent variable is h. C. D = [0, 73] The independent variable is h. The dependent variable is V. D. D = [0, 64] The independent variable is h. The dependent variable is V.
Solve the problem.In a chemical reaction, the rate at which the amount of a reactant changes with time is proportional to the amount present, such that , when t is measured in hours. If there are
of reactant present when t = 0, how many grams will be left after
? Give your answer to the nearest tenth of a gram.
A. 0.1 g B. 3.9 g C. 1.9 g D. 5.8 g
Simplify the expression using the order of operations.-(-4)3
A. -12 B. -64 C. 64 D. -1
If possible, evaluate the expression by hand. If not, approximate the answer to the nearest hundredth.1251/3
A. 1875 B. 15 C. 625 D. 5