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A bucket that weighs 5 pounds and a rope of negligible weight are used to draw water from a well that is 80 feet deep. The bucket is filled with 45 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 0.2 pounds per second. Find the work done pulling the bucket to the top of the well. Your answer must include the correct units.
A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 24 ft/s. Its height in feet after t seconds is given by y=24t-26t^{2}.
The surface area S of a right prism is given by S = 2B + Ph. The length of a rectangle is five times its width. If the area of the rectangle is 500m², find its perimeter.
Explain in your own words how to use the zero-factor property when solving a quadratic equation. Post a problem for classmates to solve.
How many ways are possible?
two rainstorms occured in one week in a certain area. In the first storm 30ml of rain fell per hour and in the second storm 15ml of rain fell per hour
a 42 inch- long guitar is 10.5-feet-long on a stadium screen. a drum is 21 inches wide. how wide is the image on the stadium screen?
the standard deviation of age of passenger train cars is 2 yrs. if the distribution of ages is normal and 10% of the cars are older than 10 years, find the average age.
During the first part of a trip, a canoeist travels 93 miles at a certain speed. The canoeist travels 11 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hrs. What was the speed on each part of the tri..
There are several methods used by people to organize their lives in terms of keeping track of appointments, meetings, and deadlines. Some of these include using a desk calendar, using informal notes of scrap paper, keeping them ″in your head″, usi..
Annual profit in thousands of dollars is given by the function, P(x) = -.01x2 + 50x + 30,000, where x is the number of items sold, x ≥ 0.
Show that if a>0, then the convergence of the function nx/(1+n^2 x^2) is uniform on the interval [a,infinity), but is not uniform on the interval [0,infinity).
given a finite set of integers such that all of them are less than or equal to 3, how could you solve in polynomial time that a subset of integers exists whose sum is zero?
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