Solve the problem.A salesman packed 3 shirts and 5 ties. With one shirt, he could wear all 5 ties. With another shirt, he could wear 4 ties. With the other shirt, he could wear only 3 ties. How many different combinations did he have?

A. 60
B. 12
C. 23
D. 11


Answer: B

Mathematics

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Show that the functions f and g are identically equal.f(x) = csc x ? sec x, g(x) = cot x + tan x

What will be an ideal response?

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You are designing a dome house in the shape of a hemisphere with a 31 ft outside diameter. Two coats of sealer are required to cover and seal the exposed external concrete. If one gallon covers 110 ft 2, how many gallons are required for the bill of materials? 

A. 27 gallons B. 54 gallons C. 20 gallons D. 30 gallons E. 40 gallons

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Use integration by parts to find the integral. Round the answer to two decimal places if necessary.

A. 0.39 B. -0.94 C. -2.27 D. -1.33

Mathematics