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In a nutrient medium, the rate of increase in surface area of a cell culture can be modeled by the quadratic function S = -0.008t2 + 0.04t where S is the rate of increase in the surface area in square millimetres per hour, and t is the time, in hours, since the culture began growing. Find the maximum rate of increase in the surface area and the time taken to reach this maximum.
Jerry has a total of 23 marbles. The marbles are either blue or green. He has three more blue marbles than green marbles. How many green marbles does he have?
Two dice are rolled. If the total is 10, then player A receives 7 points. If the total is 6, then player B receives 6 points. Find the expected value for each player.
phenylthiocarbamide or ptc is a molecule that tastes very bitter to those who can taste it. however about 30 of people
how many weeks does the rate of revenue exceed the rate of cost?
For t is greater and equal to 0 and less than and equal to 1, a bug is crawling at a velocity v, determined by the formula v=1/(1+t) where t is in hours and v is in meters/hr. Find the distance that the bug crawls during this hour using ten minute..
What will it cost Downhill Boards to outsource the finishing process?
a carpenter is building a rectangular room with a fixed perimeter of 328 ft. what dimensions would yield the maximum area? what is the maximum area?
If the test is positive, what is the probability that the person actually has hepatitis? (Round your answer to five decimal places.)
Calculate the mean of the sample means and compare it to the population mean.
while john is traveling along an interstatehighway he notices a 166 mi marker as hepasses through town. later john
Suppose that η : R^n→ R^n is a Lipschitz function with Lipschitz constant αband 0≤α
How many times does the athlete's heart beat during the first 20 minutes of the workout? Give your answer to the nearest complete heartbeat.
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