(c) Find the number of cells after 8 hours. [ ] cells (d) Find the rate of growth after 8 hours. (Round your answer to three decimal places.) [ ] billion cells per hour (e) When will the population reach 20,000 cells? (Round your answer to two decimal places.) [ ] hr A common inhabitant of human intestines is the bacterium *Escherichia coli*. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 60 cells.

In this question we can use the formula , y(t) =y(0).ekt

Answered: A common inhabitant of human intestines…

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 freshly brewed shot of espresso has three distinct components: the heart, body, and crema. The separation of these three components typically lasts only 10 to 20 seconds. To use the espresso shot in making a latte, a cappuccino, or another drink, the shot must be poured into the beverage during the separation of the heart, body, and crema. If the shot is used after the separation occurs, the drink becomes excessively bitter and acidic, ruining the final drink. Thus, a longer separation time allows the drink-maker more time to pour the shot and ensure that the beverage will meet expectations. An employee at a coffee shop hypothesized that the harder the espresso grounds were tamped down into the portafilter before brewing, the longer the separation time would be. An experiment using 24 observations was conducted to test this relationship. The independent variable Tamp measures the distance, in inches, between the espresso grounds and the top of the portafilter (i.e., the harder the…
Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU campus. Two years ago (t = 0) they managed to tag all 42,000 of them (with little Epsilon Delta Fraternity tags). This year's pledge class discovered that all the tags had fallen off, and they wound up tagging a total of 63,000 frogs. (a) Find an exponential model for the frog population. f(t) = (b) Assuming exponential population growth, and that all this year's tags have fallen off, how many tags should Epsilon Delta order for next year's pledge class? (Round your answer to the nearest integer.) tags
A researcher is interested in the effects of diazepam on anxiety in rats. She takes a group of 15 female rats and injects them with 0.005 mg of diazepam for every 100 g the rats weigh, and takes a different group of female rats and injects them with saline. She then puts them all on an elevated-plus maze for 15 minutes and observes how long they spend (in seconds) in the enclosed arms versus the open arms. The less time they spend in the enclosed arms means they have less anxiety. She also weighs them before the injection to make sure she gets the dosage correct. a. Identify the population of interest b. Identify the Independent variable. c. Identify the Dependent variable. d. What scale of measurement was used for the independent variable? Explain why you think so. e. Was the independent variable discrete or continuous? Explain why you think so. f. What scale of measurement was used for the dependent variable? Explain why you think so. g. How could you change the dependent measurement…
Calcium is the most abundant mineral in the human body and has several important functions. Most body calcium is stored in the bones and teeth, where it functions to support theirstructure. Recommendations for calcium are provided in Dietary Reference Intakes, developed by theInstitute of Medicine of the National Academy of Sciences. The recommended adequate intake (RAI) of calcium for adults (ages 19–50 years) is 1000 milligrams (mg) per day. Suppose that we want to perform a hypothesis test to decide whether the average adult with an income below the poverty level gets less than the RAI of 1000 mg.a. Determine the null hypothesis for the hypothesis test.b. Determine the alternative hypothesis for the hypothesis test.c. Classify the hypothesis test as two tailed, left tailed, or right tailed.
The body needs vitamin D in order to use calcium. An experiment is designed to study the effects of calcium and vitamin D supplements on the bones of first-year college students. The outcome measure is the total body bone mineral content (TBBMC), a measure of bone health. Two doses of calcium will be used: 0 and 300 milligrams per day (mg/day). The doses of vitamin D will be 0 and 150 international units (IU) per day. The calcium and vitamin D will be given in a single tablet. All tablets, including those with no calcium and no vitamin D, will look identical. Subjects for the study will be 30 men and 30 women. There are how many factors? and how many treatments in this design?.
A headline on a news website stated “Sheep with a varied diet grew faster and produced less pollutants, new study finds.” The article reports that scientists using pregnant sheep that were twin-bearing to test how diet affected the lambs. When the twin lambs were born, one lamb was put on a typical rye grass diet, while the other was given a variety of feeds, including chicory, plantain, red clover and lucerne. The impact was huge, with the lambs given a variety of feeds seeing a 100 per cent increase in growth, excreted less nitrogen into the environment and had an improved well-being.Describe in one or two sentences what is the explanatory variable and what are the response variables mentioned in this study.

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A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium divides into two cells every minutes. The initial population of a culture is 60 cells.