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a 5 year projection of population trends suggest that t years from now, the population of a certain community will be P(t)=-t3+9t2+48t+200. find the rate of change of population R(t)=P'(t) with respect to time t.
marty has a piggy bank that contains 2.25. the piggy Bnk contains only quarters and dimes. there are twice as many dimes as quarters in the bank. how many dimes are in the piggy bank.
Using the result from above, calculate the first few terms of the expansion of t expanded on [1,3]. Plot this result on [-1,5].
Juan's first-grade class received 73 half-pint cartons of milk to distribute evenly to his 28 students. How many cartons were left over?
Suppose that 560 ft of fencing is used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. (In the blue outline represents the fencing.) Find the dimensions of the corral with maximum area.
Compute the p value for the test
the cost to rent a construction crane is $750.00 per day plus $250.00 per hour of use. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed over $2500.00 per day?
An orchard contains 53 peach trees with each tree yielding an average of 51 peaches. For each 5 additional trees planted, the average yield per tree decreases by 12 peaches. How many trees should be planted to maximize the total yield of the orcha..
Madilyn does homework at the same pace for 4 hours. Which graph best illustrates the speed at which Madilyn completes her homework?
The length of a rectangle is 5 cm longer than twice the length of the width. If the area of the rectangle is 403 square centimeters, what is the width?
One professor grades homework by randomly choosing 5 out of 15 homework problems to grade.
The report costs Paula $ 15 to produce, but Paula is able to sell reports for $ 350 each. Of course, any reports not sold by the end of the week have no value. How many reports should Paula produce each week?
write equation for the hyperbola that satisfies each set of conditions.
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