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A rock is thrown into a still pond and causes a circular ripple. If the radius of the ripple is increasing at a rate of 5 ft/sec, at what speed is the area of the ripple increasing when its radius is 15 feet?
A cup of coffee at 187 degrees is poured into a mug and left in a room at 70 degrees. After 4 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-70).
A woman has a 28-in. waist and 34-in. hips. Write the waist-to-hip ratio as a decimal, rounded to the nearest hundredth.
Determine accumulated rates of change using definite integral - Explain how this represents an accumulated rate of change in detail
if the measure of an angle is -2x2+19x, and the measure of it's supplement is 4x2-6, find measure of the angle and its supplement.
Suppose that you have a set, if you remove some things from the set, will the remaining things always contain fewer items in it than the original set ?if so why? if not show with a proof.
Data and Probability, 1. How many variations in first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners? In a Chinese restaurant, the menu lists 8 items in Column A and 6 items in column B. To order a dinner, the dine..
Your insurance stipulates at least one system must be working 9989 times out of 10000. In order to achieve that level with two independent systems, what is the maximum probability of failure allowed for a single system?
Can the researcher’s claim that their drug was successful and describe your answer.
The region bound by the circle (x-a)^2 + y^2 = a^2 is revolved around about the y-axis to generate a solid
A building 240 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)?
A basket contains 4 black, 2 blue, and 5 green balls. A sample of 3 balls is drawn. Find the probabilities that the sample contains the following.
three tennis balls are tightly packed one of top of each other in a cylindrical can. what fraction of the volume of the can is occupied by the tennis balls?
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