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A sink can be filled by cold water faucet in 4 minutes. The drain can empty a full sink in 8 minutes. If the sink is empty and both the cold faucet and the drain are open, how long it take the sink to overflow?
a boat's crew rowed 7.5 miles downstream, with the current, 1.5 hours. the return trip upstream , against the current , covered the same distance, but took 2.5 hours. find the crew's rowing rate in still water and the rate of the current.
determine the limit of the sequence or show that the sequence diverges by using the appropriate Limit Laws or theorems.
How may switches of each type should be produced in order to maximize profit? What is the maximum profit?
Check that N(t) = t/(1 +ct) is a solution of the differential equation dN/dt = N^2/t^2. Treat c as an unspecified constant.
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed.
What simpler function mimicks the global scale behavior of f[x]? f[x]=x^2
What was the smallest possible number of people? What are all possible numbers of people?
Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
Starting with a hypothetical population of 14,000 people and an even age distribution [1,000 in each age group from 1-5 to 66-70 years], suppose that the population initially has a total fertility rate of 2.0 and an average life span of 70 years.
Beaver's makes 3 products. Each requires work in a three different departments. What is the projected total profit and how much of each product should be produced?
If you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
PQR and ABC are complementary angles. And PQR is eight times as large as ABC. Determine the measure of each angle.
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