Solve the problem.The power P (in horsepower) that a ship needs can be modeled by  where d is the ship's displacement (in tons), s is the normal speed (in knots), and c is the Admiralty coefficient. If a ship displaces 35,600 tons, has a normal speed of 20 knots, and has an Admiralty coefficient of 230, how much power does it need?

A. about 234,000,000 horsepower
B. about 37,600 horsepower
C. about 2.2e+09 horsepower
D. about 3760 horsepower


Answer: B

Mathematics

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Solve the application and answer with a complete sentence. Round to the nearest tenth of a percent if necessary.On a biology test, a student got 25 questions correct but did not pass. On a second attempt, the student got 36 questions correct. What was the percent of increase?

A. There was a 44% increase. B. There was a 56% increase. C. There was a 11% increase. D. There was a 30.6% increase.

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A. B = 28.8°, a ? 8.55 cm, b ? 2.91 cm B. B = 28.8°, a ? 2.91 cm, b ? 8.55 cm C. B = 18.8°, a ? 2.91 cm, b ? 8.55 cm D. B = 18.8°, a ? 8.55 cm, b ? 2.91 cm

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Determine the vertex, focus, and directrix of the parabola and sketch its graph.y2 + 6y = 12x + 51

A. vertex: (-5, -3)
focus: (-8, -3)
directrix: x = -2

B. vertex: (-5, -3)
focus: (-2, -3)
directrix: x = -8

C. vertex: (-5, -3)
focus: (-5, 0)
directrix: y = -6

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focus: (-5, -6)
directrix: y = 0

Mathematics