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

Mathematics

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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.

Mathematics

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

Mathematics

Simplify the expression using the order of operations.-(-4)3

A. -12 B. -64 C. 64 D. -1

Mathematics

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

Mathematics