Solve.A pulley rotates through 70° in one minute. How many rotations does the pulley make in an hour?
A. 23.3 rotations
B. 210.0 rotations
C. 420.0 rotations
D. 11.7 rotations
Answer: D
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Solve the problem.A stone thrown downward with an initial velocity of 14.7 m/sec will travel a distance of s meters, where s(t) = 4.9t2 + 14.7t and t is in seconds. If a stone is thrown downward at 14.7 m/sec from a height of 431.2 m, how long will it take the stone to hit the ground? Round your answer to the nearest second.
A. 11 sec B. 3 sec C. 19 sec D. 8 sec
Solve.An outlet store had monthly sales of $118,600 and spent 22% of it on health insurance. How much was spent on health insurance?
A. $26,092 B. $260,920 C. $539,091 D. $53,909
Find an equation of variation for the given situation.y varies jointly as x and the square of z, and y = 500 when x = 4 and z = 5
A. y = 25xz
B. y = 5xz2
C. y =
D. y = 6xz2
Some comets, such as Hailey's Comet, are a permanent part of the solar system, traveling in elliptical orbits around the sun. Others pass through the solar system only once, following a hyperbolic path with the sun at a focus. The figure shows the path of such a comet. Find an equation for the path, assuming that the closest the comet comes to the sun is mi, and that the path the comet was taking before it neared the solar system is at a right angle to the path it continues on after leaving the solar
system.
?
What will be an ideal response?