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A bucket that weighs 3.6 pounds and a rope of negligible weight are used to draw water from a well that is 85 feet deep.The bucket is filled with 37 pounds of water and is pulled up at a rate of 2.5 feet per second, but water leaks out of a hole in the bucket at a rate of 0.35 pounds per second. Find the work done pulling the bucket to the top of the well. Your answer must include the correct units. (You may enter lbf or lb*ft for ft-lb.)
What is the arc length of a sector a circle with a central angle of π/7 radians and a radius of 12 inches? Round answer, 2 de. Places.
Mary and Tom park their cars in an empty parking lot with n≥2 consecutive parking spaces (i.e, n spaces in a row, where only one car fits in each space). Mary and Tom pick parking spaces at random. (All pairs of parking spaces are equally likely.)..
In the following, we are in the process of determining whether integer n = 1373 is a prime or not, using the Rabin-test. Assume that a random number generator returns a = 5. Use modular exponentiation to evaluate the relevant expressions, and disc..
Suppose there is a hole in the can of paint and 18 lb of paint leaks steadily out of the can during the man's ascent. How much work is done by the man against gravity in climbing to the top?
A guy wire (a type of support used for example, on radio antennas) is attached to the top of a 50 foot pole and stretched to a point that is d feet from the bottom of the pole.
what is the area of each triangle to the nearest tenth. In triangle ABC, a=326, c=157,M
The slope of tangent line
GOld stays solid at fahrenheit temperatures below 1945.4 degrees. Determine those celsius tempertures for which gold stays solid.
If you are 22 years old, deposit $7,825 each year into a traditional IRA for 48 years at 11% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
for the woman. They decide to take out a life insurance policy that will pay $10,000 if either one dies during the next 5 years and $15,000 if both die during that time. How much should they be willing to pay for this policy? (Assume that their li..
Find the predictive value of a positive test.
Hypothesis test for single mean
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