Solve the problem.Bill has 6 friends over for dinner. After dinner, the seven of them are thinking about going out dancing. Not everyone is sure that they want to go. How many subsets of the seven are possible if at least two people go dancing?

A. 120
B. 6
C. 56
D. 121


Answer: A

Mathematics

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Find b such that the average rate of change of the function f(x) on the interval is equal to the given value.f(x) = x2 + 6x + 10, [3, b]; average rate of change: 19

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Solve the problem.The roof of a building is in the shape of the hyperbola  where x and y are in meters. Refer to the figure and determine the height, h, of the outside walls.a = b = 3 m

A. 9.9 m B. 8.3 m C. 3.1 m D. 69 m

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Evaluate using integration by parts.dx

A. 55.2 B. 6.70 C. 40.2 D. 9.48

Mathematics