Graph the function.y = -3 cot (4x)

A.

B.

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D.


Answer: A

Mathematics

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Solve the problem.A company that produces appliances has found that revenue from the sales of the appliances is $50 per appliance, less sales costs of $250. Production costs are $400, plus $40 per appliance. Profit (P) is given by revenue (R) less cost (C), so the company must find the production level x that makes P > 0,  that is, R - C > 0.(a) Write an expression for revenue, R, letting x represent the production level (number of appliances to be produced.)(b) Write an expression for production costs C in terms of x.(c) Write an expression for profit P, and then solve the inequality P > 0.(d) Describe the solution in terms of the problem.

A. (a) R = 50x - 250; (b) C = 400 + 40x; (c) P = (50x - 250) - (400 + 40x) = 5x - 650; 5x > 650; x > 130 (d) To make a profit, more than 130 appliances must be produced and sold. B. (a) R = 50x + 250; (b) C = 400 - 40x; (c) P = (50x + 250) - (400 - 40x) = 10x - 150; 10x > 150; x > 15 (d) To make a profit, more than 15 appliances must be produced and sold. C. (a) R = 50x - 250; (b) C = 400 + x; (c) P = (50x - 250) - (400 + 60x) = 10x - 600; 10x > 600; x > 60 (d) To make a profit, more than 60 appliances must be produced and sold. D. (a) R = 50x - 250; (b) C = 400 + 40x; (c) P = (50x - 250) - (400 + 40x) = 10x - 650; 10x > 650; x > 65 (d) To make a profit, more than 65 appliances must be produced and sold.

Mathematics

Simplify.log7 

A. 7 B. -2 C. -7 D. 2

Mathematics

Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.7 kilogram and ? = 28°? If necessary, round the answer to the nearest tenth of a Newton.

A. 3.4 N B. 1.9 N C. 3.2 N D. 6.1 N

Mathematics

Point P moves with angular velocity ? on a circle of radius r. Find the distance s traveled by the point in time t. ? ? If the answer needs rounding, round it to three significant digits. ? __________ ft

Fill in the blank(s) with the appropriate word(s).

Mathematics