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A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 42 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done W in pulling the bucket to the top of the well.
A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. At the end of 3 hours there are 7000 bacteria. At the end of 5 hours there are 28000 bacteria. How many bacteria were pr..
How many readers suffering from depression were included in the report? Of those included in the report and how many felt better using prescription drugs or mediation?
In 1988, the speed of a central processing unit (CPU) of a personal computer was approximately 8 megahertz. In 1996, the speed of a personal computer's CPU was 200 megahertz. What percent increase in speed does this represent?
Recent study of television viewing, 73% of first year college students stated that university well off financially is a very important personal goal. What is the probability that a similar study would have the same sample mean or higher?
In how many ways can a subcommittee of seven be chosen from a Senate committee of six Democrats and six Republicans if all members are eligible?
In 2006, Jenny began selling magazines. The company sold Jenny a beginning packet for $250.00. Jenny's cost for each magazine is 10% of the sales price.
Let B(r,t) compute the balance (in dollars) of account after t years with an r% interest rate. What are the units of dB/dr? (dB/dr is in partials notation)
The Family Arts Center charges $21 for adults, $13 for senior citizens, and $7 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was $9833 for 745 tickets sold. There were 47 more children th..
Fred gave one half of his baseball cards to Sally. Sally gave Jeff half of the cards that she got from Fred. Jeff gave Allen half of the cards that he got from Sally. Allen got 6 cards. How many cards did Fred originally have? PLEASE SHOW CALCULAT..
how do you calculate the burial cloth of an egyptian mummy is estimated to contain 59% of carbon-14 it contained originally. how long ago was the mummy buried? the half life of carbon-14 is 5730.
From central parking it is 9/10 of a mile to the science building. Bob started at central parking and walked 1/5 of a mile toward the science building. He stopped for coffee.
The sum of the page numbers on the facing pages of a book is 381. Find the larger page number.
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