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Question: The air in a factory is being filtered so that the quantity of a pollutant, P (in mg/liter), is decreasing according to the function P = P0e-kt, where t is time in hours. If 10% of the pollution is removed in the first five hours:
(a) What percentage of the pollution is left after 10 hours?
(b) How long is it before the pollution is reduced by 50%?
(c) Plot a graph of pollution against time. Show the results of your calculations on the graph.
(d) Explain why the quantity of pollutant might decrease in this way
Solve the given problems by finding the appropriate derivative.
If I have a 10,000 death benefit at work that is left on deposit for 7 years at an annual interest rate of 5%. The balance after 7 years is what? and then is going to be paid out in 120 equal payments.
An instructor gives an exam with fourteen questions. Students are allowed to choose any ten to answer.
If G is simple, planar, and connected, then G has at least one vertex of degree no more than 5.
Suppose that you are to make a rectangular box with a square base [B]from two different materials. The material for the top and four sides of the box costs $1/ft^2; the material for the base costs $2/ft^2.
Math 10B Quiz 5. Explain the law of large numbers in your own words and What's the difference between a parameter and a statistic
Translate this verbal sentence into a mathematical sentence: The difference between six and twice a number is 4 more than the number.
A Y-shaped metal bracket is to be made such that its height is 10.0 cm and its width across the top is 6.00 cm. What shape will require the least amount of material? See Fig. 27.52.
vin needs 420 points to have a B average in math. His scores so far are 88, 89, 79, and 77. What is the minimum score he can make on the next test to maintain the b?
one rope pulls a barge directly east with a force of 82 n and another rope pulls the barge directly north with a force
How much will he have to deposit into the account each month in order to reach this target after 25 years? (Give your answer, in dollars, correct to the nearest cent.)
A Venn diagram provides a visual representation of two or more sets. For this Discussion, you will focus on two sets using a two-circle Venn diagram.
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