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A wildlife biologist is interested in a warren, which is where a herd (group) of rabbits lives. She notices that the time rate of change in the rabbit population, R, is proportional to the square root of R. When she started her study 3 months ago, there were 100 rabbits in the herd, and they seem to have been increasing at a rate of about 20 rabbits per month. How many rabbits will live in the warren in another 9 months?
A. 848 rabbits
B. 340 rabbits
C. No rabbits; they reached "doomsday" and died out in 6 months
D. 484 rabbits
define the term linear inequality, then explain what it means to solve a linear inequality. Explain how the solution to the inequality 2x-5
The store owner can order jackets in lot sizes of 10 units. How many jackets should the store owner order if she wants to maximize the expected profit?
Show that the resulting motion is simple harmonic, and determine the circular frequency and period of the motion.
Betweenness in taxicab geometry. Let A = (0,0) B = (1,0) and C = (1,1) and let k denote the taxicab metric.
An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15% of individuals known to be cancer-free (false positive)
Find an equation for the surface consisting of all points that are equidistant from the point (-1,0,0) and the plane x = 1. Identify the surface.
Find the p-value associated with the test of hypothesis
how can equations and inequalities help a business maximize profit or minimize costs? What is the importance of understanding hoe to set up and solve equations and inequalities.
The bucket is filled with 43 pounds of water and is pulled up at a rate of 2.8 feet per second, but water leaks out of a hole in the bucket at a rate of 0.15 pounds per second. Find the work done pulling the bucket to the top of the well. Your ans..
How do you find the probability distribution of a random sample from a known population?
Alex is making a rectangular garden and wants a fence around it. He wants the length of the garden to be 3 feet longer than the width. 150 feet of fence is all he can afford. What is the greatest possible width he can have for his garden?
Assume that the average loan on a home is quoted to be $55,000.00. Calculate the monthly repayment necessary to have the loan repaid after 25 years if the interest rate is 7.5%.
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