Solve the problem.A law firm has twelve male and eight female lawyers. A committee of five, two male lawyers and three female lawyers, is to be chosen to represent the firm at a conference. How many committees are possible?

A. 44,352
B. 3,139,555
C. 4696
D. 3696


Answer: D

Mathematics

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Find the domain and range of the function.f(x) = (x + 2)2 + 9

A. Domain: (-9, ?); range: (-?, ?) B. Domain: (9, ?); range: (-?, ?) C. Domain: (-?, ?); range: (-9, ?) D. Domain: (-?, ?); range: [9, ?)

Mathematics

Provide an appropriate response.Describe the feasible region of  and 

A. A bounded region B. An empty region C. An unbounded region D. Two bounded regions

Mathematics

Solve the inequality and write the solution set using interval notation; then graph the solution set on a number line. (c - 1)(c - 2)(c - 7) > 0

A. (7, ?)

B. (-?, 1) ? (2, 7)

C. (-?, 2)

D. (1, 2) ? (7, ?)

Mathematics

Solve the problem.Halley's comet has an elliptical orbit with the sun at one focus. Its orbit shown below is given approximately by  In the formula, r is measured in astronomical units. (One astronomical unit is the average distance from Earth to the sun, approximately 93 million miles.)  Find the distance from Halley's comet to the sun at its greatest distance from the sun. Round to the nearest hundredth of an astronomical unit and the nearest million miles.

A. 5.57 astronomical units; 518 million miles B. 11.36 astronomical units; 1057 million miles C. 295.68 astronomical units; 27,498 million miles D. 5.68 astronomical units; 528 million miles

Mathematics