Graph the level curves in the first octant at heights of   and  for the given equation.5x + 3y + z = 30 

A.

B.

C.

D.


Answer: B

Mathematics

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Use the Pythagorean Theorem to find the exact length of the missing side. Then approximate the length to the nearest thousandth.

A.  = 64.001
B.  ? 2.000
C.  ? 11.314
D.  ? 22.804

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Find the area of the shaded region.

A. 230 square meters B. 96 square meters C. 200 square meters D. 220 square meters

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Solve the problem.Suppose  is a mathematical model for actual time as a function of estimated time, where f(x) represents actual time (in minutes), x represents estimated time (in minutes), and m and b are constants. If  and b = -3.2, find f(x) when x is 30 minutes.

A. 29.8 min B. 33.52 min C. 36.2 min D. 26.48 min

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Find the product.(x + 2y)3

A. 3(x + 2y)  B. x3 + 2x2y + 4xy + 4xy2 + 8y2 + 8y3 C. x3 + 6x2y + 12xy2 + 8y3 D. x3 + 8y3

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