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A bacteria culture starts with 360 bacteria and grows at a rate proportional to its size. after 5 hours there will be 1800 bacteria.
(a) Express the population p after t hours as a function of t.
(b) What will be the population after 6 hours?
(c) How long will it take for the population to reach 2770? answer accurate to at least 2 decimal places
Prove that for any integer n = 1, any set of n positive real numbers has a smallest element.
Use the washer method to find the volume of the solid of revolution formed by revolving the region bounded by f (x)= 3x^2 and g (x)=2x+1 about the x-axis.
What is the probability that mentioned tool kit was taken from the third box?
Shuffle a deck of cards and turn over the first card. What is the sample space of this experiment?
Use the following table, which gives the fraction (as a decimal) of the total heating load of a certain system that will be supplied by a solar collector.
Suppose A divides N and B divides N. Does this always imply: A * B divides n? Now the question is under what condition A*B will always divide N? Prove it.
A laptop computer is purchased for $1850. After each year, the resale value decreases by 25%. What will the resale value be after 5years? Use the calculator provided and round your answer to the nearest dollar.
The mix is to sell for $3.30 per pound. How many pounds of peanuts and how many pounds of cashews should be used to make 100 pounds of the mix?
A slice of pizza is one eighth of a circle of radius 1 foot. The slice is in the first quadrant, with one edge along the x-axis, and the center of the pizza.
Show by direct computation that the centriod of the triangle with vertices (0,0), (r,0), and (0,h)is the point(r/3,h/3). Verify that this point lies on the line from the vertex (0,0) to the midpoint of the opposite side of the triangle and two-thi..
One way of valuing a company is to calculate the present value of all its future earnings. A farm expects to sell $1000 worth of Christmas trees.
Show how to modify Example by changing the bids and/or budgets to make the competitive ratio come out as close to 0 as you like.
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