A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
12th Edition
ISBN: 9780133865479
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10.3B, Problem 1A
The graph below shows the average age at which women in the United States married for the first time from 1890 to 2010.
a. What was the approximate average age for a women’s first marrige in
i. 1890
ii. 1950
iii. 2010
b. During what 10-year period was there the greatest decrease in the average age of first marriage?
c. During what 10-year period was there the greatest increase in the average age of first marriage?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Find the most general real-valued solution to the linear system of differential equations
x(t)
-2
7-730
--8-8
y(t)
=
In the phase plane, this system is best described as a
source/unstable node
sink / stable node
saddle
center point / ellipses
spiral source
spiral sink
☐ none of these
Book: Section 3.5 of Notes on Diffy Qs
1
help (formulas)
help (matrices)
Consider the system of differential equations
dx
8
3
x
Y
dt
4
-- (0) + (1) (음)- (0)
dy
18
y.
dt
For this system, the eigenvalues are help (numbers)
Enter as a comma separated list.
How do the solution curves of the system above behave?
All of the solutions curves would converge towards 0 (sink/stable node).
All of the solution curves would run away from 0 (source/unstable node).
The solution curves would race towards zero and then veer away towards infinity (saddle point).
The solution curves converge to different points.
The solution to the above differential equation with initial values x(0) = 5, y(0) = 3 is
x(t)
=
help (formulas)
y(t)
=
help (formulas)
Book: Section 3.5 of Notes on Diffy Qs
Consider the system of differential equations
Verify that
x'
x,
x(0)
=
x(t) = c1e5t
H
+ Cze³t
[]
is a solution to the system of differential equations for any choice of the constants C1 and C2. Find values of C1 and
C2 that solve the given initial value problem. (According to the uniqueness theorem, you have found the unique
solution of ' = Px, x(0) = 0).
H
e³t
(t) = ( \ ) · e³ {}] + () ·³ [1]
Book: Section 3.3 of Notes on Diffy Qs
help (numbers)
Chapter 10 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)
Ch. 10.1 - Read about basic ideas of statistics in Common...Ch. 10.1 - Suggest how students at different grades might...Ch. 10.1 - Examine grade-school books to see what types of...Ch. 10.1 - Mathematical Connections What are the Nielsen...Ch. 10.1 - Prob. 7MCCh. 10.1 - National Assessment of Educational ProgressNAEP...Ch. 10.1 - Prob. 2NAEPCh. 10.1A - A second-grade class has a project to determine...Ch. 10.1A - Prob. 2ACh. 10.1A - Prob. 3A
Ch. 10.1A - To determine the most popular book among students...Ch. 10.1A - Prob. 5ACh. 10.1A - Prob. 6ACh. 10.1A - If a class were to investigate how many countries...Ch. 10.1A - Prob. 8ACh. 10.1A - In a set of student evaluations of their...Ch. 10.1A - Prob. 10ACh. 10.1A - If a bar graph like the one shown here were used...Ch. 10.1A - Prob. 12ACh. 10.1B - A second-grade class has a project to determine...Ch. 10.1B - An elementary school class decides to determine...Ch. 10.1B - Assessment To determine student computer use,...Ch. 10.1B - Prob. 7ACh. 10.1B - Prob. 8ACh. 10.1B - Assessment A university professor used a rating...Ch. 10.1B - Suppose a poll is to be conducted in an elementary...Ch. 10.1B - Prob. 11ACh. 10.1B - Determine the population and the sample in the...Ch. 10.2 - Mathematical Connections a. Discuss when a...Ch. 10.2 - Mathematical Connections Explain whether a circle...Ch. 10.2 - Mathematical Connections Explain why the sum of...Ch. 10.2 - Mathematical Connections The federal budget for...Ch. 10.2 - Prob. 5MCCh. 10.2 - Prob. 6MCCh. 10.2 - Mathematical Connections Find five examples of...Ch. 10.2 - Mathematical Connections A graph similar to the...Ch. 10.2 - Prob. 11MCCh. 10.2 - Prob. 12MCCh. 10.2 - Prob. 13MCCh. 10.2 - Prob. 14MCCh. 10.2 - Mathematical Connections Paul asks how to create a...Ch. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2 - Prob. 2NAEPCh. 10.2 - National Assessment of Educational Progress NAEP...Ch. 10.2A - The following the pictograph shows the approximate...Ch. 10.2A - Prob. 2ACh. 10.2A - Sixth grade students reported the numbers of apps...Ch. 10.2A - Prob. 4ACh. 10.2A - Draw a histogram based on the stem and leaf plot...Ch. 10.2A - Prob. 6ACh. 10.2A - Prob. 7ACh. 10.2A - Prob. 8ACh. 10.2A - Prob. 9ACh. 10.2A - Prob. 10ACh. 10.2A - Seniors Sierra High were asked to about their...Ch. 10.2A - Prob. 12ACh. 10.2A - a. A 2-inch-long rectangle serves as a percentage...Ch. 10.2A - Prob. 14ACh. 10.2A - a. If the number of people reading mysteries in...Ch. 10.2A - Prob. 16ACh. 10.2A - Prob. 17ACh. 10.2A - Prob. 18ACh. 10.2A - Prob. 19ACh. 10.2B - The following pictograph shows the approximate...Ch. 10.2B - Display the following information about the status...Ch. 10.2B - Prob. 3ACh. 10.2B - The heights reached by 15 model rockets launched...Ch. 10.2B - Prob. 5ACh. 10.2B - Prob. 6ACh. 10.2B - Given the following bar graph, estimate the length...Ch. 10.2B - Prob. 8ACh. 10.2B - Prob. 9ACh. 10.2B - Prob. 10ACh. 10.2B - Draw a circle graph for the data in exercise 10....Ch. 10.2B - Use the circle graph to answer the following...Ch. 10.2B - a. In a circle graph, a sector containing 82...Ch. 10.2B - Prob. 14ACh. 10.2B - A list of presidents, with the number of children...Ch. 10.2B - Prob. 16ACh. 10.2B - The histogram below shows the number of books read...Ch. 10.3 - Explain the concept of association as it is...Ch. 10.3 - Jacquie argued that scatterplots had little value...Ch. 10.3 - The Smith family drew a circle graph of their...Ch. 10.3 - Prob. 9MCCh. 10.3 - Prob. 10MCCh. 10.3 - Prob. 1NAEPCh. 10.3A - Assessment The graph below shows the population of...Ch. 10.3A - Prob. 3ACh. 10.3A - Prob. 4ACh. 10.3A - Prob. 5ACh. 10.3A - Prob. 6ACh. 10.3A - Assessment Consider an arithmetic sequence with...Ch. 10.3A - Prob. 8ACh. 10.3A - Assessment In the following scatterplots, find an...Ch. 10.3A - The following data show the cost of various...Ch. 10.3A - Assessment If a trend line has equation...Ch. 10.3A - Assessment If a trend line has equation y=150.8x,...Ch. 10.3B - The graph below shows the average age at which...Ch. 10.3B - Answer the following questions based on the line...Ch. 10.3B - The graph below shows line graphs for...Ch. 10.3B - The graph depicts the spelling result from Mr....Ch. 10.3B - Prob. 5ACh. 10.3B - Prob. 6ACh. 10.3B - Prob. 7ACh. 10.3B - Use the scatterplots shown to answer the...Ch. 10.3B - In the following scatterplots, find an equation of...Ch. 10.3B - Prob. 10ACh. 10.3B - Prob. 11ACh. 10.3B - Prob. 12ACh. 10.3B - Assessment If a trend line has equation...Ch. 10.3B - For each of the following pairs of variables,...Ch. 10.4 - Carl had scores of 90,95,85, and 90 on his first...Ch. 10.4 - The mean of the five numbers given is 50: 20 35 50...Ch. 10.4 - Sue drives 5 mi at 30 mph and ten 5 mi at 50 mph....Ch. 10.4 - Mathematical Connections Explain why the mode...Ch. 10.4 - Prob. 9MCCh. 10.4 - Mathematical Connections The mean of 5,7,9 is 7....Ch. 10.4 - Prob. 11MCCh. 10.4 - Mathematical Connections What does a large...Ch. 10.4 - Mathematical Connections In each pair of variables...Ch. 10.4 - Prob. 14MCCh. 10.4 - Mathematical Connections A student asks, If the...Ch. 10.4 - Mathematical Connections Jose asks, Why can a...Ch. 10.4 - Mathematical Connections Suppose the class takes a...Ch. 10.4 - Mathematical Connections A student asks if it is...Ch. 10.4 - Prob. 21MCCh. 10.4 - Mathematical Connections A student asks if it is...Ch. 10.4 - Mathematical Connections Mels mean on 10 tests for...Ch. 10.4 - Prob. 24MCCh. 10.4 - Mathematical Connections Given the bar graph...Ch. 10.4 - Mathematical Connections Following are raw test...Ch. 10.4 - National Assessment of Educational Progress NAEP...Ch. 10.4 - National Assessment of Educational Progress NAEP...Ch. 10.4 - Prob. 3NAEPCh. 10.4A - Assessment Calculate the mean, the median, and the...Ch. 10.4A - Prob. 2ACh. 10.4A - Assessment a. If three students scored 75 on a...Ch. 10.4A - Prob. 4ACh. 10.4A - Assessment Suppose in Selinas class there were...Ch. 10.4A - Prob. 6ACh. 10.4A - Prob. 7ACh. 10.4A - Prob. 8ACh. 10.4A - Prob. 9ACh. 10.4A - Prob. 10ACh. 10.4A - Prob. 11ACh. 10.4A - Prob. 12ACh. 10.4A - Prob. 13ACh. 10.4A - Prob. 14ACh. 10.4A - Assessment Following are box plots comparing the...Ch. 10.4A - Prob. 16ACh. 10.4A - Prob. 17ACh. 10.4A - Assessment What is the standard deviation of the...Ch. 10.4A - Prob. 19ACh. 10.4A - Prob. 20ACh. 10.4A - Assume a normal distribution and that the average...Ch. 10.4A - Prob. 22ACh. 10.4A - Prob. 23ACh. 10.4A - Prob. 24ACh. 10.4A - Prob. 25ACh. 10.4A - Prob. 26ACh. 10.4A - Prob. 27ACh. 10.4B - Calculate the mean, the median, and the mode for...Ch. 10.4B - Prob. 2ACh. 10.4B - Prob. 3ACh. 10.4B - Prob. 4ACh. 10.4B - Prob. 5ACh. 10.4B - Prob. 6ACh. 10.4B - a. Mr. Alberto wanted to count the score on a term...Ch. 10.4B - Prob. 9ACh. 10.4B - Prob. 10ACh. 10.4B - Prob. 11ACh. 10.4B - Prob. 12ACh. 10.4B - Prob. 13ACh. 10.4B - Ginnys median score on three tests was 90. Her...Ch. 10.4B - Prob. 15ACh. 10.4B - Prob. 16ACh. 10.4B - a. If all the numbers in a set are equal, what is...Ch. 10.4B - In a school system, teachers start at a salary of...Ch. 10.4B - Prob. 20ACh. 10.4B - Prob. 21ACh. 10.4B - Prob. 22ACh. 10.4B - The weights of newborn babies in a certain country...Ch. 10.4B - Prob. 24ACh. 10.4B - Prob. 25ACh. 10.4B - Prob. 26ACh. 10.4B - Prob. 27ACh. 10.5 - Discuss the effect on the appearance of a graph...Ch. 10.5 - Words such as may as in may help with reading...Ch. 10.5 - Prob. 3MCCh. 10.5 - Prob. 4MCCh. 10.5 - Prob. 5MCCh. 10.5 - Prob. 6MCCh. 10.5 - Following are the record swimming times of the...Ch. 10.5 - National Assessment of Educational Progress NAEP...Ch. 10.5 - Richard wants to estimate the average mean monthly...Ch. 10.5 - Prob. 3NAEPCh. 10.5A - Assessment The city of Podunk advertised itself as...Ch. 10.5A - Prob. 3ACh. 10.5A - Prob. 4ACh. 10.5A - Prob. 5ACh. 10.5A - Mathematical Connections Refer to the following...Ch. 10.5A - Prob. 9ACh. 10.5A - Prob. 10ACh. 10.5A - Prob. 11ACh. 10.5A - Prob. 12ACh. 10.5A - Prob. 14ACh. 10.5A - Prob. 15ACh. 10.5A - Prob. 16ACh. 10.5B - Prob. 4ACh. 10.5B - Prob. 10ACh. 10.5B - Prob. 11ACh. 10.5B - Prob. 12ACh. 10.5B - Prob. 13ACh. 10.5B - Prob. 14ACh. 10.5B - What are the characteristics that you think a...Ch. 10.5B - Prob. 16ACh. 10.5B - Prob. 17ACh. 10.5B - Prob. 18ACh. 10.5B - In the figure shown, monthly sales of three...Ch. 10.5B - Prob. 20ACh. 10.CR - Suppose you read that the average family in...Ch. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - The budget for the Wegetem Crime Co. is 2,000,000....Ch. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - The life expectancies at birth for males and...Ch. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 26CRCh. 10.CR - CHAPTER 10 REVIEW Give examples of several ways to...Ch. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10 - NOW TRY THIS On the student page shown below, work...Ch. 10 - Prob. 2NTCh. 10 - Prob. 3NTCh. 10 - Prob. 4NTCh. 10 - Prob. 5NTCh. 10 - Prob. 7NTCh. 10 - Prob. 8NTCh. 10 - Prob. 9NTCh. 10 - Prob. 10NTCh. 10 - Prob. 12NTCh. 10 - Prob. 13NT
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
- Find the most general real-valued solution to the linear system of differential equations [5 -6 x = -10|| x(t) [*] [B] • [8] = C1 y(t) In the phase plane, this system is best described as a source/unstable node O sink / stable node saddle center point / ellipses spiral source spiral sink none of these Book: Section 3.5 of Notes on Diffy Qs help (formulas) help (matrices)arrow_forwardConsider the system of higher order differential equations y″ = t¯¹y' + 7y – tz + (sint)z' + e5t, z" = y — 3z'. Rewrite the given system of two second order differential equations as a system of four first order linear differential equations of the form ÿ' = P(t)ÿ+ g(t). Use the following change of variables y' [Y] Y1 Y2 Y3 LY4_ help (formulas) help (matrices) Book: Section 3.3 of Notes on Diffy Qs [y1(t)] [ y(t)] Y2(t) y' (t) ÿ(t) = = Y3(t) z(t) Y₁(t)] [z'(t)]arrow_forwardCalculate the eigenvalues of this matrix: [21 12 A 24 -21 You'll probably want to use a calculator or computer to estimate the roots of the polynomial that defines the eigenvalues. The system has two real eigenvalues 1 and 2 where \1<\2 smaller eigenvalue \1 = help (numbers) associated eigenvector v1 larger eigenvalue 2 = = help (matrices) help (numbers) associated eigenvector v2 If x' = = B help (matrices) A is a differential equation, how do the solution curves behave? A. The solution curves diverge from different points on parallel paths. B. The solution curves would race towards zero and then veer away towards infinity. (saddle point) C. The solution curves converge to different points on parallel paths. D. All of the solution curves would run away from 0. (source / unstable node) E. All of the solutions curves would converge towards 0. (sink / stable node) Book: Section 3.5 of Notes on Diffy Qsarrow_forward
- Suppose x = C1e2t [x(0)] Ly(0). Find C1 and C2. H == + C₂et [ - C1 = help (numbers) C₂ = help (numbers) 3 5 2 1 -3 -2 -1 2 3 -1 -2 -3 A 5 * x = Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? Choose ✰ Is the solution curve headed toward or away from the origin as t increases? A. toward B. away C. neither toward nor away -3 N -1 3 2 1 -1 -2 -3 Book: Section 3.5 of Notes on Diffy Qs 0 3 5 2 1 -3 -2 -1 -1 -2 -3 - B 3 2 2 1 3 x * x * х 2 3 -3 -2 -1 2 3 -1 -2 -3 Darrow_forwardShow that 2et |x(t) = is a solution to the system of linear homogeneous differential equations x'₁ = 2x1 + x2 x3, x2 = x1 + x2 + 2x3, x3 = x = x1 + 2x2 x3. Find the value of each term in the equation x1 order given.) = 2x1 x2 x3 in terms of the variable t. (Enter the terms in the ☐ = 0 + 0 + ☐ help (formulas) Find the value of each term in the equation x 2 = x1 + x2+2x3 terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + help (formulas) Find the value of each term in the equation x3 = x1 + 2x2 + x3 in terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + ☐ help (formulas) Book: Section 3.3 of Notes on Diffy Qsarrow_forwardLet P-L 1 2e3t+8e- = t 15 +], x2(t) = [3e³t + 20e-t -8e³t + 2e-t -12e³t +5e-t P by evaluating derivatives and the matrix product 1(t) = = Show that 1(t) is a solution to the system ' = #³½ (t) = [ 15 9 1(t) Enter your answers in terms of the variable t. [8]·[8] help (formulas) help (matrices) Show that 2(t) is a solution to the system ' = P by evaluating derivatives and the matrix product Enter your answers in terms of the variable t. [8]-[8] help (formulas) help (matrices) Book: Section 3.3 of Notes on Diffy Qs 9 코일(t)= [15-3]교2(t)arrow_forward
- Find the most general real-valued solution to the linear system of differential equations x [✓] - [2 -25 = 2 7-8-8 In the phase plane, this system is best described as a source/unstable node O sink / stable node saddle center point / ellipses spiral source spiral sink none of these Book: Section 3.5 of Notes on Diffy Qs help (formulas) help (matrices)arrow_forwardLet Find A' (t) = A" (t) = = In(|t|)] A(t) = 4-t e2t 0 11 t help (formulas) help (matrices) 2e2t help (formulas) help (matrices) A(t) is defined for all t in the interval(s) help (intervals) A'(t) is defined for all t in the interval(s) A" (t) is defined for all t in the interval(s) Book: Section 3.3 of Notes on Diffy Qs help (intervals) help (intervals)arrow_forwardAnswer the boxes and box the answers if possible list the answers and answer it.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
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
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Learn Algebra 6 : Rate of Change; Author: Derek Banas;https://www.youtube.com/watch?v=Dw701mKcJ1k;License: Standard YouTube License, CC-BY