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 10.3A, Problem 7A
Assessment
Consider an arithmetic sequence with first term of
a. Plot the sequence as a
b. Sketch a trend line.
c. Find an equation for the trend line you sketched in part(b).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
4.
Select all of the solutions for x²+x - 12 = 0?
A. -12
B. -4
C. -3
D. 3
E 4
F 12
4 of 10
2.
Select all of the polynomials with the degree of 7.
A. h(x) = (4x + 2)³(x − 7)(3x + 1)4
B
h(x) = (x + 7)³(2x + 1)^(6x − 5)²
☐
Ch(x)=(3x² + 9)(x + 4)(8x + 2)ª
h(x) = (x + 6)²(9x + 2) (x − 3)
h(x)=(-x-7)² (x + 8)²(7x + 4)³
Scroll down to see more
2 of 10
1.
If all of the zeros for a polynomial are included in the graph, which polynomial could the graph represent?
100
-6
-2
0
2
100
200
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
- 3. Select the polynomial that matches the description given: Zero at 4 with multiplicity 3 Zero at −1 with multiplicity 2 Zero at -10 with multiplicity 1 Zero at 5 with multiplicity 5 ○ A. P(x) = (x − 4)³(x + 1)²(x + 10)(x — 5)³ B - P(x) = (x + 4)³(x − 1)²(x − 10)(x + 5)³ ○ ° P(x) = (1 − 3)'(x + 2)(x + 1)"'" (x — 5)³ 51 P(r) = (x-4)³(x − 1)(x + 10)(x − 5 3 of 10arrow_forwardMatch the equation, graph, and description of transformation. Horizontal translation 1 unit right; vertical translation 1 unit up; vertical shrink of 1/2; reflection across the x axis Horizontal translation 1 unit left; vertical translation 1 unit down; vertical stretch of 2 Horizontal translation 2 units right; reflection across the x-axis Vertical translation 1 unit up; vertical stretch of 2; reflection across the x-axis Reflection across the x - axis; vertical translation 2 units down Horizontal translation 2 units left Horizontal translation 2 units right Vertical translation 1 unit down; vertical shrink of 1/2; reflection across the x-axis Vertical translation 2 units down Horizontal translation 1 unit left; vertical translation 2 units up; vertical stretch of 2; reflection across the x - axis f(x) = - =-½ ½ (x − 1)²+1 f(x) = x²-2 f(x) = -2(x+1)²+2 f(x)=2(x+1)²-1 f(x)=-(x-2)² f(x)=(x-2)² f(x) = f(x) = -2x²+1 f(x) = -x²-2 f(x) = (x+2)²arrow_forwardWhat is the vertex, increasing interval, decreasing interval, domain, range, root/solution/zero, and the end behavior?arrow_forward
- Calculate a (bxc) where a = i, b = j, and c = k.arrow_forwardi+2j+3k = (1,2,3) and b = -i-k. Calculate the cross product a x b where a Next calculate the area of the parallelogram spanned by a and b.arrow_forwardThe measured receptance data around two resonant picks of a structure are tabulated in the followings. Find the natural frequencies, damping ratios, and mode shapes of the structure. (30 points) (@)×10 m/N α₁₂ (@)×10 m/N w/2z (Hz) 99 0.1176 0.17531 0.1114 -0.1751i 101 -0.0302 0.2456i -0.0365 -0.2453i 103 -0.1216 0.1327i -0.1279-0.1324i 220 0.0353 0.0260i -0.0419+0.0259i 224 0.0210 0.0757i |-0.0273 +0.0756i 228 -0.0443 0.0474i 0.0382 +0.0474iarrow_forward
- Q3: Define the linear functional J: H(2) R by 1(v) = a(v. v) - L(v) Let u be the unique weak solution to a(u,v) = L(v) in H() and suppose that a(...) is a symmetric bilinear form on H(2) prove that 1- u is minimizer. 2- u is unique. 3- The minimizer J(u,) can be rewritten under algebraic form u Au-ub. J(u)=u'Au- Where A. b are repictively the stiffence matrix and the load vectorarrow_forward== 1. A separable differential equation can be written in the form hy) = g(a) where h(y) is a function of y only, and g(x) is a function of r only. All of the equations below are separable. Rewrite each of these in the form h(y) = g(x), then find a general solution by integrating both sides. Determine whether the solutions you found are explicit (functions) or implicit (curves but not functions) (a) 1' = — 1/3 (b) y' = = --- Y (c) y = x(1+ y²)arrow_forwardJa дх dx dx Q3: Define the linear functional J: H()-R by تاریخ (v) = ½a(v, v) - (v) == Let u be the unique weak solution to a(u,v) = L(v) in H₁(2) and suppose that a(...) is a symmetric bilinear form on H() prove that a Buy v) = 1- u is minimizer. 2- u is unique. 3- The minimizer J(u,) can be rewritten under J(u)=u' Au-ub, algebraic form Where A, b are repictively the stiffence matrix and the load vector Q4: A) Answer only 1-show that thelation to -Auf in N, u = 0 on a satisfies the stability Vulf and show that V(u-u,)||² = ||vu||2 - ||vu||2 lu-ulls Chu||2 2- Prove that Where =1 ||ul|= a(u, u) = Vu. Vu dx + fu. uds B) Consider the bilinear form a(u, v) = (Au, Av) + (Vu, Vv) + (Vu, v) + (u, v) Show that a(u, v) continues and V- elliptic on H(2) (3) (0.0), (3.0)arrow_forward
- Q1: A) fill the following: 1- The number of triangular in a triangular region with 5 nodes is quadrilateral with n=5 and m=6 nodés is 2- The complex shape function in 1-D 3- dim(P4(K))=- (7M --- and in the and multiplex shape function in 2-D is 4- The trial space and test space for problem -Auf, u = go on and B) Define the energy norm and prove that the solution u, defined by Galerkin orthogonal satisfies the best approximation. Q2: A) Find the varitional form for the problem 1330 (b(x)) - x²=0, 0arrow_forwardDescribe a three step process you choose to determine how many elementary schools there are in the city of 5 million people.arrow_forwardA circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the origin and the point A=(0,2r), as pictured below. A line passes through the point A and the point C=(11/2,0) on the x-axis. In this problem, we will investigate the coordinates of the intersection point B between the circle and the line, as 1 → ∞ A=(0,2r) B (0,0) (a) The line through A and C has equation: y= 2 117 x+27 (b) The x-coordinate of the point B is 4472 121,2 +4 40 (c) The y-coordinate of the point B is +27 121 44 (d) The limit as r→ ∞ of the x-coordinate of B is 121 (if your answer is oo, write infinity).arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Sequences and Series Introduction; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=m5Yn4BdpOV0;License: Standard YouTube License, CC-BY
Introduction to sequences; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=VG9ft4_dK24;License: Standard YouTube License, CC-BY