Solve the problem.If sin ? = 0.3, find the value of sin ? + sin (? + 2?) + sin (? + 4?).

A. 0.3
B. 2.9
C. 0.9 + 6?
D. 0.9


Answer: D

Mathematics

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Provide an appropriate response.For the space curve x = t, y = t2, z = t , find the points at which the function f(x, y) takes on extreme values if fx = 9, fy = , and fz = -60t.

A. t = -3 and t = 10
B. t = 0
C. t = -  and t = 5
D. t = -6 and t = 20

Mathematics

Solve the problem.Suppose a business can sell x gadgets for p = 250 - 0.01x dollars apiece, and it costs the business  dollars to produce the x gadgets. Determine the production level and cost per gadget required to maximize profit.

A. 111 gadgets at $248.89 each B. 10,000 gadgets at $150.00 each C. 13,750 gadgets at $112.50 each D. 11,250 gadgets at $137.50 each

Mathematics

Use an ordered pair to identify each point on the given coordinate plane. State the quadrant or axis where each point lies.

A. A(6, 2) in Quadrant I; B (3, 2) in Quadrant I B. A(6, 3) in Quadrant I; B(-2, 2) in Quadrant II C. A(3, 28) in Quadrant I; B(2, -2) in Quadrant IV D. A(6, 3) in Quadrant I; B(2, -2) in Quadrant IV

Mathematics

Solve the problem.A store has a sale on workout gear. Mark bought three pairs of shorts and three T-shirts for $70.35 (before tax). Later, he went back and bought two more pairs of shorts and four more T-shirts for $63.90 (before tax). How much did the shorts and T-shirts cost?

A. shorts: $15.05; T-shirts: $8.45 B. shorts: $8.45; T-shirts: $15.05 C. shorts: $14.95; T-shirts: $8.50 D. shorts: $8.50; T-shirts: $14..95

Mathematics