Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
7th Edition
ISBN: 9780134705187
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8.B, Problem 43E
Half-Life. Each exercise gives a half-life for an exponentially decaying quantity. Answer the questions about the quantity’s decay.
43. The half-life of a drug in the bloodstream is 16 hours. What fraction of the original drug dose remains in the blood in 24 hours? In 72 hours?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Exilet x = {a,b.c}dex.x―R>
d(a,b) = d(b, c)=1'
d(a, c) = 2
d(xx)=0VXEX is (x.d) m.s or not?
3.4
let x=
d ((x,y), (3
Hiw
Show that sup (0,1) = 1
الفصل الثاني
*
Dif: let {an} be
Seq. then fan?
There are four white, fourteen blue and five green marbles in a bag. A marble is selected from the bag without looking. Find the odds of the following:
The odds against selecting a green marble.
The odds in favour of not selecting a green marble
The odds in favor of the marble selected being either a white or a blue marble.
What is true about the above odds? Explain
Chapter 8 Solutions
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
Ch. 8.A - A town’s population increases in one year from...Ch. 8.A - A town’s population increases in one year from...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 - Decide whether each of the following statements...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 - Linear or Exponential? State whether the growth...Ch. 8.A - Prob. 10ECh. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - Prob. 12ECh. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - Linear or Exponential? State whether the growth...Ch. 8.A - 9-16: Linear or Exponential? State whether the...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 - Chessboard Parable. Use the chessboard parable...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 - 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. 32ECh. 8.A - Exponential Growth. Identify at least two news...Ch. 8.A - Prob. 34ECh. 8.A - Prob. 35ECh. 8.B - Prob. 1QQCh. 8.B - Suppose your salary increases at a rate of 4.5%...Ch. 8.B - Which of the following is not a good approximation...Ch. 8.B - A town’s population doubles in 23 years. Its...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 - The population of an endangered species decreases...Ch. 8.B - log10108= a.100,000,000 b. 108 c.8Ch. 8.B - A rural popular ion decreases at a rate of 20% per...Ch. 8.B - Prob. 10QQCh. 8.B - What is a doubling tune? Suppose a population has...Ch. 8.B - Prob. 2ECh. 8.B - State the approximate doubting time formula and...Ch. 8.B - Prob. 4ECh. 8.B - Prob. 5ECh. 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. 15ECh. 8.B - Prob. 16ECh. 8.B - 13-24: Logarithms. Refer to the Brief Review on p....Ch. 8.B - Prob. 18ECh. 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. 22ECh. 8.B - Prob. 23ECh. 8.B - 23-24. Logarithm Calculations
24. Using the...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - 25-32: Doubling Time. Each exercise gives a...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - Doubling Time. Each exercise gives a doubling time...Ch. 8.B - 25-32: Doubling Time. Each exercise gives a...Ch. 8.B - World Population. In 2017, estimated world...Ch. 8.B - World Population. In 2017, estimated world...Ch. 8.B - 31. Rabbits. A community of rabbits begins with an...Ch. 8.B - Prob. 36ECh. 8.B - Approximate Doubling Time Formula. Use the...Ch. 8.B - 37-40: Approximate Doubling Time Formula. Use the...Ch. 8.B - Approximate Doubling Time Formula. Use the...Ch. 8.B - 37-40: Approximate Doubling Time Formula. Use the...Ch. 8.B - Half-Life. Each exercise gives a half-life for an...Ch. 8.B - Half-Life. Each exercise gives a half-life for an...Ch. 8.B - Half-Life. Each exercise gives a half-life for an...Ch. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - 41-48: Half-Life. Each exercise gives a half-life...Ch. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - 41-48: Half-Life. Each exercise gives a half-life...Ch. 8.B - 41 -48: Half-Life. Each exercise gives a half-life...Ch. 8.B - Approximate Half-Life Formula. Use the approximate...Ch. 8.B - 49-52: Half-Life Formula. Use the approximate...Ch. 8.B - Approximate Half-Life Formula. Use the approximate...Ch. 8.B - 49-52: Half-Life Formula. Use the approximate...Ch. 8.B - Prob. 53ECh. 8.B - Exact Formulas. Compare the doubling times found...Ch. 8.B - Exact Formulas. Compare the doubling times found...Ch. 8.B - Exact Formulas. Compare the doubling times found...Ch. 8.B - Prob. 57ECh. 8.B - 58. Nuclear Weapons. Thermonuclear weapons use...Ch. 8.B - Prob. 59ECh. 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 - Drug Metabolism. A particular antibiotic is...Ch. 8.B - Atmospheric Pressure. The pressure of Earth's...Ch. 8.B - Prob. 64ECh. 8.B - 65. Radioactive Half-Life. Find a news story that...Ch. 8.B - Prob. 66ECh. 8.B - Prob. 67ECh. 8.B - Prob. 68ECh. 8.B - Prob. 69ECh. 8.C - World population is currently rising by about 80...Ch. 8.C - The most recent doubling of world population took...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. 8QQCh. 8.C - Prob. 9QQCh. 8.C - Prob. 10QQCh. 8.C - Based on Figure 8.3, contrast the changes in human...Ch. 8.C - Prob. 2ECh. 8.C - Haw do today’s birth and death rates compare to...Ch. 8.C - Prob. 4ECh. 8.C - Prob. 5ECh. 8.C - What is overshot and collapse? Under what...Ch. 8.C - Prob. 7ECh. 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 - 12. Past civilizations that no longer exist must...Ch. 8.C - Varying Growth Rates. Starting from a 2017 world...Ch. 8.C - Varying Growth Rates. Starting from a 2017 world...Ch. 8.C - Varying Growth Rates. Starting from a 2017 world...Ch. 8.C - Varying Growth Rates. Starting from a 2017 world...Ch. 8.C - Birth and Death Rates. The following table gives...Ch. 8.C - 17-20: Birth and Death Rates. The following table...Ch. 8.C - 17-20: Birth and Death Rates. The following table...Ch. 8.C - Birth and Death Rates. The following table gives...Ch. 8.C - 21. Logistic Growth. Consider a population that...Ch. 8.C - Logistic Growth. Consider a population that begins...Ch. 8.C - U.S Population. Starting from an estimated U.S....Ch. 8.C - Prob. 24ECh. 8.C - Prob. 25ECh. 8.C - Prob. 26ECh. 8.C - Prob. 27ECh. 8.C - 28. Slower Growth. Repeat Exercise 27, but use a...Ch. 8.C - Prob. 29ECh. 8.C - World Carrying Capacity. For the given carrying...Ch. 8.C - 29-32: World Carrying Capacity. For the given...Ch. 8.C - 29-32: World Carrying Capacity. For the given...Ch. 8.C - Prob. 33ECh. 8.C - Prob. 34Ch. 8.C - Population Predictions. Find population...Ch. 8.C - Prob. 36ECh. 8.C - Prob. 37ECh. 8.C - Prob. 38ECh. 8.C - Prob. 39ECh. 8.C - Prob. 40ECh. 8.D - Prob. 1QQCh. 8.D - Prob. 2QQCh. 8.D - 3. What is a 0-decibel sound?
the softest sound...Ch. 8.D - 4. A sound of 85 decibels is defined to be
a. 85...Ch. 8.D - Prob. 5QQCh. 8.D - Prob. 6QQCh. 8.D - Prob. 7QQCh. 8.D - Prob. 8QQCh. 8.D - Prob. 9QQCh. 8.D - Prob. 10QQCh. 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 - An earthquake of magnitude 6 will do twice as much...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 - Earthquake Magnitudes. Use the earthquake...Ch. 8.D - Earthquake Magnitudes. Use the earthquake...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 - 15-20: The Decibel Scale. Use the decibel scale to...Ch. 8.D - 15-20: The Decibel Scale. Use the decibel scale to...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. 20ECh. 8.D - Prob. 21ECh. 8.D - Prob. 22ECh. 8.D - Prob. 23ECh. 8.D - Inverse Square Law. Use the inverse square law for...Ch. 8.D - 25-32: The pH Scale. Use the pH scale to answer...Ch. 8.D - 25-32: The pH Scale. Use the pH scale to answer...Ch. 8.D - 25-32: The pH Scale. Use the pH scale to answer...Ch. 8.D - Prob. 28ECh. 8.D - Prob. 29ECh. 8.D - Prob. 30ECh. 8.D - Prob. 31ECh. 8.D - Prob. 32ECh. 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. 37ECh. 8.D - Prob. 38ECh. 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 - Prob. 42ECh. 8.D - Earthquakes in the News. Find a recent news story...Ch. 8.D - Disasters. Find the death lolls for some of the...Ch. 8.D - Prob. 45ECh. 8.D - Prob. 46ECh. 8.D - Ocean Acidification. Research ocean acidification...
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.Similar questions
- Q2/ Determine the size of square footing to carry net allowable load of 400 kN. FS-3. Use Terzaghi equation assuming general shear failure. 400KN 1 m += 35" C=0.0 Ya = 18.15 kN/m³ +=25" C=50 kN/m² Ya 20 kN/m³arrow_forward4 x+3 and g(x)=x2-9 4X-10 2X --13) The domain of rational expression A) 1R. {-2,-8} AB -14) Let f(x) = B) 1R. {2,-4,-8} 4X-12 x² +6x-16 X3+7X²+12X ? C) 1R \ {-4,-3,0} then f(x) + g(x) is equal ro D) IR 2 A) B) c) D) x²-9 x2-9 x²-9 x+4 DB 5x-4 A B If + then the value of B is equal to X+1 A) 4 B) 2 C) 5 D) 3 4X 4x+4 С.В.... x2+5X+6 x2 (x-2)(x+1) X-2 AC 16 The solution set of the equation A){4} B) {-3} C){ 1} 17 The solution set of the equation A) (-3,-2) B) [-3,0) C)[-3,-2] D). [-2,0) BA -18) Which one of the following is proper fraction? 2x+4 ≤0 入×1 x+2x+4 (x+1)(x+2) 2x+4x+2 = 4 X+1 is equal to D). {-5} ≤0 A) x6 +4 2x+12 2X x +4 B) c) x2-9 AL 2x+12 D) x+4 14) let g(x) = [x-3],then g(-2) is equal to A) -5 B)-6 C)-3 D) 3 Part III work out (show every step cleary) (2pt) 20. E9) Find the solution set of the equation 2x+4 x+1 ≤0 P(x) (a) P(x) =≤0 2x+4 50 x+1 x+1≤ 2x+4 (x-1)(x-2) x= 1 or x=2 solution is {1.2} x-1=0 of x-2=0 x = 1 or = 2arrow_forwardPlease show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy. 1. The probability of a soccer game in a particular league going into overtime is 0.125. Find the following: a. The odds in favour of a game going into overtime. b. The odds in favour of a game not going into overtime. c. If the teams in the league play 100 games in a season, about how many games would you expect to go into overtime?arrow_forward
- Please show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy. 1. The probability of a soccer game in a particular league going into overtime is 0.125. Find the following: a. The odds in favour of a game going into overtime. b. The odds in favour of a game not going into overtime. c. If the teams in the league play 100 games in a season, about how many games would you expect to go into overtime?arrow_forwardPlease show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy. 1. The probability of a soccer game in a particular league going into overtime is 0.125. Find the following: a. The odds in favour of a game going into overtime. b. The odds in favour of a game not going into overtime. c. If the teams in the league play 100 games in a season, about how many games would you expect to go into overtime?arrow_forwardThe probability of being born in a particular month is about 1:12. Determine the probability of not being born in September. Express this ratio as a fraction, a decimal, a percent and in words.arrow_forward
- In his first hockey game of the season, Brayden takes a total of 10 shots on the goalie and scores 1 time. Later in the season, he takes 30 shots in total on the goalie. How many goals would you expect him to make? What assumptions are making? Are your assumptions realistic? Explain.arrow_forwardThe probability of being born in a particular month is about 1:12. Determine the probability of not being born in September. Express this ratio as a fraction, a decimal, a percent and in words.arrow_forwardThe probability of being born in a particular month is about 1:12. Determine the probability of not being born in September. Express this ratio as a fraction, a decimal, a percent and in words.arrow_forward
- Devon is expected to receive 70% of the votes at the student council election. If there are 650 students in his school, how many are expected to vote for him?arrow_forwardPlease help ASAP on all asked questions. Please show all work and steps.arrow_forwardPlease help ASAP on all asked questions. Please show all work and steps.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY