Find the indicated composition.f(x) = 5; g(x) = 2x + 7Find (g ? f)(x).

A. (g ? f)(x) = 10 + 7
B. (g ? f)(x) = 5
C. (g ? f)(x) = 5 + 7
D. (g ? f)(x) = 5


Answer: A

Mathematics

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Two curves are said to be orthogonal if their tangent lines are perpendicular at each point of intersection of the curves. Show that the curves of the given equations are orthogonal.

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Solve triangle, if possible. If necessary, round your answers to the nearest tenth. 

A. a ? 7.3, B ? 7.8°, C ? 142.2° B. a ? 8.3, B ? 6.9°, C ? 143.1° C. a ? 8.3, B ? 2.8°, C ? 147.2° D. a ? 7.3, B ? 7.8°, C ? 37.8°

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Solve the problem.A baseball player hit a baseball with an initial velocity of 190 feet per second at an angle of 40° to the horizontal. The ball was hit at a height of 5 feet off the ground. Find parametric equations that describe the motion of the ball as a function of time. How long is the ball in the air? When is the ball at its maximum height? What is the horizontal distance the ball traveled?

A. x = 145.54t; y = -16t2 + 122.17t + 5; 7.676 sec; 3.818 sec; 1117.165 feet B. x = 145.54t; y = -16t2 + 122.17t + 5; 15.353 sec; 3.818 sec; 2234.476 feet C. x = 145.54t; y = -16t2 + 122.17t + 5; 7.676 sec; 3.818 sec; 1880.513 feet D. x = 145.54t; y = -16t2 + 122.17t + 5; 7.594 sec; 3.818 sec; 1105.231 feet

Mathematics