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A street light is at the top of a 28 ft pole. A 6 ft tall girl walks along a straight path away from the pole with a speed of 8 ft/sec.
At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 31 ft away from the pole?
The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2pi radians = 1 revolution
A trapezoid with bases 4 m and 6 m is partially submerged vertically in water so that the top is 1 m above the surface and the bottom is 1 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate..
Explain how you would conduct the survey. What are the ethical implications if the manufacturer of Brand A toothpaste asked you to survey only its employees?
A circular swimming pool has a diameter of 20 m, the sides are 4 m high, and the depth of the water is 3.5 m. How much work (in Joules) is required to pump all of the water over the side?
Explain how the formula for standardizing z-scores forces a given normal distribution to have a mean of 0 and a standard deviation of 1.
Let V be a circle lying in S. Then there is a unique plane P in R^3 such that p / S = V ( / = intersection). Recall from analytuc geomerty that
A spotlight creates a circle on a smooth surface. The radius of the circle is 15 feet. Rounding to the nearest foot, find the length of a square with the same area as the circle.
Determine the limit by evaluating the function for x = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 20, 50, and 100, If an answer does not exist, enter DNE.
If A and B are normal subgroups of G such that G/A and G/B are abelian, prove that G/(A intersect B) is abelian
find the dimensions of the poster with the smallest area. Note: The answer to this problem requires that you enter the correct units.
A simple pulley with the given radius used to lift heavy objects is positioned 10 feet above ground level. Given that the pulley rotates theta degrees, determine the height to which the object is lifted. a) r=4 in, theta=720 degrees b) r=2 ft, the..
Probability : Counting Principle, A social security number has 9 digits. How many different S.S numbers are possible if:
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