Having wrapped up your last project, you begin to pack up when you see a text from Casey. Theynoticed that you were in the office and were hoping you could do one final check on one of their slow-growing bacteria that they are working on. Wanting to be helpful, you check on the results and see thatthe computer has generated a population model P (t) 268,525e0.25t where t is measured in days.Casey would like to know how many days will it take for the population to reach one million, assumingthis model holds?-Round your answer to the nearest hundredth of a day (i.e. 2 decimal places).The population will reach one million in Numberdays.

Answered: Image /qna-images/answer/459bcec8-795a-40bf-9394-36f1a5384b2a.jpg

Answered: Having wrapped up your last project,…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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A nkcschools.instructure.com A population of 20 rabbits is introduced into an environment with a carrying capacity of 500 rabbits. The rabbit population increases by 10% every month. Make a logistic model that gives the number of rabbits N after t months. Use t as your variable and round r to three decimal places. Edit View Insert Format Tools Table 12pt v Paragraph v BIUA v ev T? v ...
In North America, between 100 million and 1 billion birds die each year by crashing into windows on buildings, more than any other human-related cause. This figure represents up to 5% of all birds in the area. One possible solution is to construct windows angled downward slightly, so that they reflect the ground rather than an image of the sky to a flying bird. An experiment by Klem et al. (2004) compared the number of birds that died as a result of vertical windows, windows angled 20 degrees off vertical, and windows angled 40 degrees off vertical. The angles were randomly assigned with equal probability to six windows and changed daily; assume for this exercise that windows and window locations were identical in every respect except angle. Over the course of the experiment, 30 birds were killed by windows in the vertical orientation, 15 were killed by windows set at 20 degrees off vertical, and 8 were killed by windows set at 40 degrees off vertical. . Clearly state an appropriate…
9 Question 4 A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every bag contains exactly the same weight. But if more than 16% of bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package. The engineer weighs 129 bags and finds that 27 of them are over-filled. He plans to test the hypotheses Ho: p = 0.16 versus H:p> 0.16. What is the test statistic? Z = (Please round your answer to two decimal places if necessary.)
When a forensic expert determines time of death, they often have additional information besides body temperature. Suppose a coroner finds that the person who was murdered had an infection that probably raised the core body temperature to around 102 degrees. Using the same cooling constant, ambient room temperature, and temperature data as in problem 1, make a new estimate for the time of death. Again, write your answer as a time, not just as ? minutes. A(Ambient temp)=68 B(temp)=85.9 K(cooling constant)=0.183702
A bacteria culture had a population of 13 million at 10:00 am and by 2:00 pm had grown to 21 million. Predict the population at 6:00 pm that same day.
Greg and Martin's age when added together come to a total of 60 years. Now Greg is twice as old as Martin was when Greg was half as old as Martin will be when Martin is five times as old as Greg was when Greg was five times as old as Martin. With all this excellent data how old is Greg?
In an experimental study, it was noticed that people who eat more leafy, green vegetables tend to get better sleep than the general population. Researchers wonder whether the improved sleep might be caused by the minerals potassium and magnesium found in leafy, green vegetables. How could the researchers design an experiment to determine the effects of potassium and magnesium on sleep?
How long will it take a population of bacteria to reach a certain size, given that we know its growth rote?
Let us revisit a question from a few problem sets ago with slightly different numbers. A patient takes 200 mg of an antibiotic every 6 hours. The half-life of the drug (the time it takes for half of the drug to be eliminated from the blood) is 6 hours. Let dn denote the amount (in mg) of medication in the bloodstream after n doses, where d₁= 200. 1. Explain why dn+1 = 0.5dn + 200, d₁= 200 is the correct recurrence relation. 2. Use the recurrence relation to write down the expressions for d2, d3, and d4. Do not simplify- instead, keep powers of 0.5 in your answers. 3. You should see that each dn is a geometric sum. We are interested in finding the long-term (steady state) amount of antibiotic in your blood, i.e., limno dn. Write this limit as an infinite series using summation (E) notation. 4. Evaluate the geometric series from the previous part using the geometric series formula. 5. Previously we used the recurrence relation dn+1 = 0.5dn + 200, d₁ = 200 and the assumption that dn→ L to…
I only need question 4, Thank you. In the presence of enough food and lacking predators and competitors, a population of rabbitswill increase by a fixed percentage each spring. For this set of exercises, we will say that therabbit population increases by 10% each year. Thus, if the initial population is R0, then thepopulation the following spring will be R1 = (1.1)R0 rabbits. In two years, the population will beR2 = (1.1)R1 = (1.1)2R0. The number of rabbits after n years will beRn = (1.1)nR0,and clearly the rabbit population grows without bound. We will assume that the rabbit populationis measured in hundreds of rabbits (so that R = 1 represents 100 rabbits).Suppose now that we introduce a small number of cougars into the environment to keep the rabbitpopulation under control.Let’s suppose that the amount of rabbits eaten each year is proportional to the cougar population.Then the change in the rabbit population is governed by the equationRn+1 = (1.1)Rn − (0.1)Cn,where Rn and Cn…

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