6th Edition

ISBN: 9780321922205

Author: Bennett

Publisher: PEARSON CO

Concept explainers

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

Videos

Textbook Question

Chapter 8.A, Problem 27E

Bacteria in a Bottle Parable. Use the bacteria parable presented in the text.

23. How many bacteria are in the bottle at 11:50? What traction of the bottle is full at that time?

How many bacteria are in the bottle at 11:15? What traction of the bottle is full at that time?
Knee-Deep in Bacteria. The total surface area of Earth is about 3.1 X 10¹⁴ m² Assume that the bacteria continued their doublings for a total of two hours (as discussed in the text), at which point they were distributed uniformly over Earth's surface. How deep would the bacterial layer be?

Bacterial Universe. Suppose the bacteria in the potable continued to double their population every minute. How long would it take until their volume exceeded the total volume of the observable universe, which is about 10⁷⁹ m³? (Hint Proceed by trial and error.)

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.A, Problem 26E

Chapter 8.A, Problem 28E

Students have asked these similar questions

Which diagram(s) represent the following relationships An injective function from A to B? A surjective function from A to B? An injective function from B to A? A surjective function from B to A?

int/PlayerHomework.aspx?homeworkId=689099898&questionId=1&flushed=false&cid=8120746¢erw BP Physical Geograph... HW Score: 0%, 0 of 13 points ○ Points: 0 of 1 Determine if the values of the variables listed are solutions of the system of equations. 2x - y = 4 3x+5y= - 6 x=1, y = 2; (1,-2) Is (1, 2) a solution of the system of equations? L No Yes iew an example Get more help - A

Determine if each statement is true or false. If the statement is false, provide a brief explanation: a) There exists x = R such that √x2 = -x. b) Let A = {x = ZIx = 1 (mod 3)} and B = {x = ZIx is odd}. Then A and B are disjoint. c) Let A and B be subsets of a universal set U. If x = A and x/ € A - B,then x = An B.| E d) Let f : RR be defined by f (x) = 1 x + 2 1. Then f is surjective.

Chapter 8 Solutions

EP USING+UNDERSTANDING MATH.-MYMATHLAB

Ch. 8.A - Prob. 1QQ Ch. 8.A - Prob. 2QQ Ch. 8.A - The balance owed your credit card doubles from...Ch. 8.A - The number Of songs in your iPod has increased...Ch. 8.A - Which of the following is in example of...Ch. 8.A - On a chessboard with 64 squares, you place 1 penny...Ch. 8.A - At 11:00 you place a single bacterium in a bottle,...Ch. 8.A - Consider the bacterial population described in...Ch. 8.A - Consider the bacterial population described in...Ch. 8.A - Which of the following is not true of any...

Ch. 8.A - Describe basic differences between linear growth...Ch. 8.A - 2. Briefly explain how repeated doublings...Ch. 8.A - Briefly summarize the Story Of the bacteria in the...Ch. 8.A - Explain the meaning Of the two key facts about...Ch. 8.A - Prob. 5E Ch. 8.A - Suppose you had a magic hank account in which your...Ch. 8.A - A small town that grows exponentially can become a...Ch. 8.A - H. Human population has been growing exponentially...Ch. 8.A - Prob. 9E Ch. 8.A - Prob. 10E Ch. 8.A - Prob. 11E Ch. 8.A - Prob. 12E Ch. 8.A - Prob. 13E Ch. 8.A - Prob. 14E Ch. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - Prob. 16E Ch. 8.A - Chessboard Parable. Use the chessboard parable...Ch. 8.A - Chessboard Parable. Use the chessboard parable...Ch. 8.A - Chessboard Parable. Use the chessboard parable...Ch. 8.A - Prob. 20E Ch. 8.A - Magic Penny Parable. Use the magic penny parable...Ch. 8.A - Prob. 22E Ch. 8.A - Magic Penny Parable. Use the magic penny parable...Ch. 8.A - Magic Penny Parable. Use the magic penny parable...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - Bacteria in a Bottle Parable. Use the bacteria...Ch. 8.A - 29. Human Doubling. Human population in the year...Ch. 8.A - Doubling Time versus Initial Amount. a. Would you...Ch. 8.A - Facebook Users. The table shows the number of...Ch. 8.A - Prob. 32E Ch. 8.A - Exponential Growth. Identify at least two news...Ch. 8.A - Prob. 34E Ch. 8.A - Prob. 35E Ch. 8.B - Prob. 1QQ Ch. 8.B - Prob. 2QQ Ch. 8.B - Which of the following is not a good approximation...Ch. 8.B - Prob. 4QQ Ch. 8.B - Radioactive tritium (hvdrogen-3) has a halt-life...Ch. 8.B - Radioactive uramum-235 has a hall-life of about...Ch. 8.B - Prob. 7QQ Ch. 8.B - log10108= a.100,000,000 b. 108 c.8 Ch. 8.B - A rural popular ion decreases at a rate of 20% per...Ch. 8.B - Prob. 10QQ Ch. 8.B - What is a doubling tune? Suppose a population has...Ch. 8.B - Prob. 2E Ch. 8.B - State the approximate doubting time formula and...Ch. 8.B - Prob. 4E Ch. 8.B - Prob. 5E Ch. 8.B - 6. State the approximate hall-life formula and the...Ch. 8.B - 7. Briefly describe exact doubling time and...Ch. 8.B - 8. Give an example in which it is important to use...Ch. 8.B - Our town is growing with a doubling time of 25...Ch. 8.B - Our town is growing at a rate of 7% per year, so...Ch. 8.B - A toxic chemical decays with a hall-life of 10...Ch. 8.B - The hall-life of plutomum-239 is about 24,000...Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Prob. 15E Ch. 8.B - Prob. 16E Ch. 8.B - 13-24: Logarithms. Refer to the Brief Review on p....Ch. 8.B - Prob. 18E Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - 13-24: Logarithms. Refer to the Brief Review on p....Ch. 8.B - Prob. 22E Ch. 8.B - Prob. 23E Ch. 8.B - Logarithms. Refer to the Brief Review on p. 488....Ch. 8.B - Prob. 25E Ch. 8.B - Prob. 26E Ch. 8.B - Prob. 27E Ch. 8.B - Prob. 28E Ch. 8.B - Prob. 29E Ch. 8.B - Prob. 30E Ch. 8.B - Prob. 31E Ch. 8.B - Prob. 32E Ch. 8.B - Prob. 33E Ch. 8.B - Prob. 34E Ch. 8.B - 31. Rabbits. A community of rabbits begins with an...Ch. 8.B - Prob. 36E Ch. 8.B - Doubling Time Formula. Use the approximate...Ch. 8.B - Prob. 38E Ch. 8.B - Prob. 39E Ch. 8.B - Prob. 40E Ch. 8.B - Prob. 41E Ch. 8.B - Prob. 42E Ch. 8.B - Prob. 43E Ch. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - Prob. 45E Ch. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - Prob. 47E Ch. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - Prob. 49E Ch. 8.B - 49-52: Half-Life Formula. Use the approximate...Ch. 8.B - Prob. 51E Ch. 8.B - 49-52: Half-Life Formula. Use the approximate...Ch. 8.B - Prob. 53E Ch. 8.B - Exact Formulas. Compare the doubling times found...Ch. 8.B - Prob. 55E Ch. 8.B - Exact Formulas. Compare the doubling times found...Ch. 8.B - Prob. 57E Ch. 8.B - 58. Nuclear Weapons. Thermonuclear weapons use...Ch. 8.B - Fossil Fuel Emissions. Total emissions of carbon...Ch. 8.B - Yucca Mountain. The U.S. government spent nearly...Ch. 8.B - Crime Rate. The homicide rate decreases at a rate...Ch. 8.B - 62. Drug Metabolism. A particular antibiotic is...Ch. 8.B - Atmospheric Pressure. The pressure of Earth's...Ch. 8.B - Prob. 64E Ch. 8.B - 65. Radioactive Half-Life. Find a news story that...Ch. 8.B - Prob. 66E Ch. 8.B - Prob. 67E Ch. 8.B - Prob. 68E Ch. 8.B - Prob. 69E Ch. 8.C - Prob. 1QQ Ch. 8.C - Prob. 2QQ Ch. 8.C - The primary reason for the rapid growth of human...Ch. 8.C - The carrying capacity of the Earth is defined as...Ch. 8.C - Which of the billowing would cause estimates of...Ch. 8.C - 6. Recall the bacteria in a bottle example from...Ch. 8.C - When researchers project that human population...Ch. 8.C - Prob. 8QQ Ch. 8.C - Prob. 9QQ Ch. 8.C - Prob. 10QQ Ch. 8.C - Based on Figure 8.3, contrast the changes in human...Ch. 8.C - Prob. 2E Ch. 8.C - Haw do today’s birth and death rates compare to...Ch. 8.C - Prob. 4E Ch. 8.C - Prob. 5E Ch. 8.C - What is overshot and collapse? Under what...Ch. 8.C - Prob. 7E Ch. 8.C - 8. If birth rates fall more than death rates, the...Ch. 8.C - The carrying capacity of our planet depends only...Ch. 8.C - to rapid increases in computing technology, we...Ch. 8.C - In the wild, we always expect the population of...Ch. 8.C - Prob. 12E Ch. 8.C - Prob. 13E Ch. 8.C - Varying Growth Rates. Starting from a 2013...Ch. 8.C - Prob. 15E Ch. 8.C - 13-16: Varying Growth Rates. Starting from a 2013...Ch. 8.C - Birth and Death Rates. The following table gives...Ch. 8.C - Prob. 18E Ch. 8.C - Prob. 19E Ch. 8.C - Prob. 20E Ch. 8.C - 21. Logistic Growth. Consider a population that...Ch. 8.C - Logistic Growth. Consider a population that begins...Ch. 8.C - Prob. 23E Ch. 8.C - Prob. 24E Ch. 8.C - Prob. 25E Ch. 8.C - Prob. 26E Ch. 8.C - Prob. 27E Ch. 8.C - Prob. 28E Ch. 8.C - Prob. 29E Ch. 8.C - Prob. 30E Ch. 8.C - Prob. 31E Ch. 8.C - Prob. 32E Ch. 8.C - Prob. 33E Ch. 8.C - Prob. 34.0E Ch. 8.C - Prob. 34.1E Ch. 8.C - Population Predictions. Find population...Ch. 8.C - Prob. 36E Ch. 8.C - Prob. 37E Ch. 8.C - Prob. 38E Ch. 8.C - Prob. 39E Ch. 8.D - The energy release of a magnitude 7 earthquake is...Ch. 8.D - Prob. 2QQ Ch. 8.D - 3. What is a 0-decibel sound? the softest sound...Ch. 8.D - Prob. 4QQ Ch. 8.D - Prob. 5QQ Ch. 8.D - Prob. 6QQ Ch. 8.D - Prob. 7QQ Ch. 8.D - Prob. 8QQ Ch. 8.D - Prob. 9QQ Ch. 8.D - Prob. 10QQ Ch. 8.D - What is the magnitude scale for earthquakes? What...Ch. 8.D - What is the decibel scale? Describe how it is...Ch. 8.D - What is pH? What pH values define an acid, a base,...Ch. 8.D - What is acid rain? Why is it a serious...Ch. 8.D - 5. An earthquake of magnitude 8 will do twice as...Ch. 8.D - A 120-dB wand is 20% louder than a 100-dB sound.Ch. 8.D - If I double the amount of water in the cup, I'll...Ch. 8.D - The lake water was crystal clear, so It could not...Ch. 8.D - Earthquake Magnitudes. Use the earthquake...Ch. 8.D - Prob. 10E Ch. 8.D - Prob. 11E Ch. 8.D - Earthquake Magnitudes. Use the earthquake...Ch. 8.D - Earthquake Magnitudes. Use the earthquake...Ch. 8.D - 9-14: Earthquake Magnitudes. Use the earthquake...Ch. 8.D - The Decibel Scale. Use the decibel scale to answer...Ch. 8.D - The Decibel Scale. Use the decibel scale to answer...Ch. 8.D - The Decibel Scale. Use the decibel scale to answer...Ch. 8.D - The Decibel Scale. Use the decibel scale to answer...Ch. 8.D - The Decibel Scale. Use the decibel scale to answer...Ch. 8.D - Prob. 20E Ch. 8.D - Inverse Square Law. Use the inverse square law for...Ch. 8.D - Prob. 22E Ch. 8.D - Inverse Square Law. Use the inverse square law for...Ch. 8.D - Inverse Square Law. Use the inverse square law for...Ch. 8.D - The pH scale. Use the pH scale to answer the...Ch. 8.D - The pH Scale. Use the pH scale to answer the...Ch. 8.D - Prob. 27E Ch. 8.D - Prob. 28E Ch. 8.D - Prob. 29E Ch. 8.D - Prob. 30E Ch. 8.D - The pH Scale. Use the pH scale to answer the...Ch. 8.D - 25-32: The pH Scale. Use the pH scale to answer...Ch. 8.D - Logarithmic Thinking. Briefly describe, in words,...Ch. 8.D - 33-38: Logarithmic Thinking. Briefly describe, in...Ch. 8.D - Logarithmic Thinking. Briefly describe, in words,...Ch. 8.D - Logarithmic Thinking. Briefly describe, in words,...Ch. 8.D - Prob. 37E Ch. 8.D - Prob. 38E Ch. 8.D - 39. Sound and Distance. The decibel level for...Ch. 8.D - 40. Variation in Sound with Distance. Suppose that...Ch. 8.D - Toxic Dumping in Acidified Lakes. Consider a...Ch. 8.D - Earthquakes in the News. Find a recent news story...Ch. 8.D - Prob. 43E Ch. 8.D - Disasters. Find the death lolls for some of the...Ch. 8.D - Prob. 45E

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.