Solve the problem.The power P (in W) generated by a particular windmill is given by  where V is the velocity of the wind (in mph). Estimate the instantaneous rate of change of power with respect to velocity when the velocity is  (Round to one decimal.)

A. 5.5 W/mph
B. 2.5 W/mph
C. 0.3 W/mph
D. 12.2 W/mph


Answer: B

Mathematics

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A variable force of magnitude F(x) moves a body of mass m along the x-axis from x1 to x2. The net work done by the force in moving the body from x1 to x2 is  where v1 and v2 are the body's velocities at  x1 and x2. Knowing that the work done by the force equals the change in the body's kinetic energy, solve the problem.How many foot-pounds of work does it take to throw a baseball 60 mph? A baseball weighs 5 oz, or 0.3125 lb.

A. 18 ft-lb B. 1210 ft-lb C. 563 ft-lb D. 38 ft-lb

Mathematics

Solve the problem.A tunnel is in the shape of a parabola. The maximum height is 29 m and it is 19 m wide at the base. What is the vertical clearance 2 m from the edge of the tunnel? 

A. 18.1 m B. 10.9 m C. 27.6 m D. 1.4 m

Mathematics

Solve the problem.A basketball player with a free throw shooting percentage of 60% gets fouled and goes to the line to shoot two free throws. What are the odds in favor of her making her first shot?

A. 5 to 3 B. 2 to 3 C. 3 to 2 D. 3 to 5

Mathematics

Find the ordered pair for the vertex.y = 4x2 + 40x + 103

A. (3, -5) B. (-3, 5) C. (5, -3) D. (-5, 3)

Mathematics