Problem Solving Approach to Mathematics for Elementary School Teachers
13th Edition
ISBN: 9780135184097
Author: BILLSTEIN
Publisher: PEARSON CO
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8.1, Problem 2MC
a. Choose seven consecutive term in any arithmetic sequence and check that the arithmetic average (the sum of the seven term divided by 7) equals the middle term.
b. Prove that the result in part (a) is true for every arithmetic sequence.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Please as many det
8–23. Sketching vector fields Sketch the following vector fields
25-30. Normal and tangential components For the vector field F and
curve C, complete the following:
a. Determine the points (if any) along the curve C at which the vector
field F is tangent to C.
b. Determine the points (if any) along the curve C at which the vector
field F is normal to C.
c. Sketch C and a few representative vectors of F on C.
25. F
=
(2½³, 0); c = {(x, y); y −
x² =
1}
26. F
=
x
(23 - 212) ; C = {(x, y); y = x² = 1})
,
2
27. F(x, y); C = {(x, y): x² + y² = 4}
28. F = (y, x); C = {(x, y): x² + y² = 1}
29. F = (x, y); C =
30. F = (y, x); C =
{(x, y): x = 1}
{(x, y): x² + y² = 1}
Chapter 8 Solutions
Problem Solving Approach to Mathematics for Elementary School Teachers
Ch. 8.1 - Student were asked to write an algebraic...Ch. 8.1 - a. Choose seven consecutive term in any arithmetic...Ch. 8.1 - A teacher instructed her class as follows: Take...Ch. 8.1 - A teacher instructed her class to take any number...Ch. 8.1 - Give an example of geometric sequence whose first...Ch. 8.1 - Joel says that there is no reason to have more...Ch. 8.1 - A student wonders if sets can ever be considered...Ch. 8.1 - A student wants to know how can she prove that a...Ch. 8.1 - Prob. 9MCCh. 8.1 - Prob. 11MC
Ch. 8.1 - Prob. 1NAEPCh. 8.1 - 2+n 5 3+n 6 4+n 7 5+n 8 What number does n...Ch. 8.1 - Prob. 3NAEPCh. 8.1 - Melissa saves money for six weeks to buy a...Ch. 8.1A - Translate the following phrases into algebraic...Ch. 8.1A - Prob. 2ACh. 8.1A - In the tile pattern for an arithmetic sequence of...Ch. 8.1A - Prob. 4ACh. 8.1A - In a college, there are P professors and S...Ch. 8.1A - Suppose a class has g girls and b boys, and there...Ch. 8.1A - Ryan is building matchstick sequences as shown....Ch. 8.1A - Prob. 8ACh. 8.1A - For a particular event, a student pays 5 per...Ch. 8.1A - Prob. 10ACh. 8.1A - Prob. 11ACh. 8.1A - Prob. 12ACh. 8.1A - Find the first term and the difference in an...Ch. 8.1A - Prob. 14ACh. 8.1A - A ball is dropped from a height of 10 ft and...Ch. 8.1A - Jake bought contact lenses and was told to wear...Ch. 8.1A - Construct a Fibonacci-like sequence that is also...Ch. 8.1A - Prob. 18ACh. 8.1B - Translate the following phrases into algebraic...Ch. 8.1B - Prob. 2ACh. 8.1B - Discover a possible tile pattern in the following...Ch. 8.1B - In the following descriptions, write an expression...Ch. 8.1B - Prob. 5ACh. 8.1B - Suppose there are c chairs and t tables in a...Ch. 8.1B - Prob. 7ACh. 8.1B - Prob. 8ACh. 8.1B - Prob. 9ACh. 8.1B - Matt has twice as many as stickers as David. If...Ch. 8.1B - Prob. 11ACh. 8.1B - Prob. 12ACh. 8.1B - Find the first term and the difference in an...Ch. 8.1B - Find the first term in a geometric sequence if the...Ch. 8.1B - A ball is dropped from a height of 20 meters and...Ch. 8.1B - Consider the following arithmetic sequences....Ch. 8.1B - Prob. 18ACh. 8.2 - Students were asked to find three consecutive...Ch. 8.2 - Prob. 2MCCh. 8.2 - Create an equation with x on both sides of the...Ch. 8.2 - Prob. 4MCCh. 8.2 - Prob. 5MCCh. 8.2 - Prob. 6MCCh. 8.2 - Prob. 7MCCh. 8.2 - Prob. 8MCCh. 8.2 - A student was told that in order to check a...Ch. 8.2 - Prob. 10MCCh. 8.2 - Olivier said that his teacher would not accept 5=x...Ch. 8.2 - A student claimed that the equation 2x=3y has...Ch. 8.2 - Prob. 13MCCh. 8.2 - Prob. 14MCCh. 8.2 - Prob. 15MCCh. 8.2 - Prob. 16MCCh. 8.2 - Prob. 17MCCh. 8.2 - Prob. 18MCCh. 8.2 - Write an algebraic equation relating the variables...Ch. 8.2 - a. Show that the sum of every three consecutive...Ch. 8.2 - Prob. 21MCCh. 8.2 - Prob. 22MCCh. 8.2 - Prob. 1NAEPCh. 8.2 - Prob. 2NAEPCh. 8.2 - Archaeologists measure the lengths of certain...Ch. 8.2 - Jessica makes clay bowls. The following equation...Ch. 8.2A - Consider the balances: What is the value of each...Ch. 8.2A - Prob. 2ACh. 8.2A - Solve each of the following if x is a real number....Ch. 8.2A - Ryan is building a matchstick sequence so that one...Ch. 8.2A - For a particular event, 812 tickets were sold for...Ch. 8.2A - An estate of 486,000 is left to three siblings....Ch. 8.2A - A 10-ft board is to be cut into three pieces: two...Ch. 8.2A - Prob. 8ACh. 8.2A - Miriam is 10 years older than Ricardo. Two years...Ch. 8.2A - In a college, 20 times as many undergraduate...Ch. 8.2A - A farmer has 1200 yd of fencing to enclose a...Ch. 8.2A - The sum of three consecutive terms in the...Ch. 8.2A - Carlos bought 430 feet of fencing. With this, he...Ch. 8.2A - The sum of four consecutive natural numbers is...Ch. 8.2B - Consider the following balances: a. Which shape...Ch. 8.2B - Prob. 2ACh. 8.2B - Prob. 3ACh. 8.2B - Prob. 4ACh. 8.2B - Prob. 5ACh. 8.2B - Prob. 6ACh. 8.2B - Prob. 7ACh. 8.2B - Matt has twice as many stickers as David. How many...Ch. 8.2B - Prob. 9ACh. 8.2B - Prob. 10ACh. 8.2B - Prob. 11ACh. 8.2B - Prob. 12ACh. 8.2B - Prob. 13ACh. 8.3 - Prob. 1MCCh. 8.3 - Prob. 2MCCh. 8.3 - Prob. 4MCCh. 8.3 - Prob. 7MCCh. 8.3 - Prob. 8MCCh. 8.3 - Prob. 9MCCh. 8.3 - Prob. 10MCCh. 8.3 - Prob. 11MCCh. 8.3 - Prob. 12MCCh. 8.3 - Prob. 13MCCh. 8.3 - Prob. 14MCCh. 8.3 - Prob. 15MCCh. 8.3 - Prob. 16MCCh. 8.3 - Prob. 17MCCh. 8.3 - Prob. 18MCCh. 8.3 - Refer to the School Book page on page 456 and...Ch. 8.3 - Prob. 20MCCh. 8.3 - Prob. 21MCCh. 8.3 - Prob. 22MCCh. 8.3 - Prob. 23MCCh. 8.3 - Prob. 24MCCh. 8.3 - Prob. 1NAEPCh. 8.3 - Prob. 2NAEPCh. 8.3 - Prob. 3NAEPCh. 8.3A - Prob. 1ACh. 8.3A - Which of the following are function from the set...Ch. 8.3A - a. Draw an arrow diagram of a function with domain...Ch. 8.3A - Suppose f(x)=2x+1 and the domain {0,1,2,3,4}....Ch. 8.3A - Prob. 5ACh. 8.3A - a. Make an arrow diagram for each of the...Ch. 8.3A - The dosage of a certain drug is related to the...Ch. 8.3A - For each of the following, guess what might be...Ch. 8.3A - Quick-Talk advertises monthly cellualr...Ch. 8.3A - For each of the following sequenceseither...Ch. 8.3A - Consider the following two function machines. Find...Ch. 8.3A - In problem 11, find the all inputs for which the...Ch. 8.3A - a. Repeat exercise 11 when the bottom machine...Ch. 8.3A - Consider the function f(x)=x+b, where b is a...Ch. 8.3A - Let t(n) be the function that assigns the nth term...Ch. 8.3A - a. If f(x)=x2 and the output is 2, find all...Ch. 8.3A - Consider a function machine that accepts inputs as...Ch. 8.3A - The following graph shows the relationship between...Ch. 8.3A - A ball is shot out of a cannon at ground level....Ch. 8.3A - Prob. 20ACh. 8.3A - Prob. 21ACh. 8.3A - Which of the following equations or inequalities...Ch. 8.3A - Which of the following are graphs of fucntions and...Ch. 8.3B - The following sets of ordered pairs are functions....Ch. 8.3B - Prob. 2ACh. 8.3B - Prob. 4ACh. 8.3B - Prob. 5ACh. 8.3B - Prob. 6ACh. 8.3B - Prob. 7ACh. 8.3B - Prob. 8ACh. 8.3B - Prob. 9ACh. 8.3B - Prob. 10ACh. 8.3B - Prob. 11ACh. 8.3B - In problem 11, find the all inputs for which the...Ch. 8.3B - Prob. 13ACh. 8.3B - Prob. 14ACh. 8.3B - Prob. 15ACh. 8.3B - Prob. 16ACh. 8.3B - Prob. 17ACh. 8.3B - Prob. 18ACh. 8.3B - Prob. 19ACh. 8.3B - Prob. 20ACh. 8.3B - Prob. 21ACh. 8.3B - Prob. 22ACh. 8.3B - Prob. 23ACh. 8.4 - In this chapter, an arithmetic sequence was...Ch. 8.4 - Prob. 2MCCh. 8.4 - Prob. 3MCCh. 8.4 - Prob. 4MCCh. 8.4 - Prob. 5MCCh. 8.4 - Prob. 6MCCh. 8.4 - Prob. 7MCCh. 8.4 - Prob. 8MCCh. 8.4 - Prob. 9MCCh. 8.4 - Prob. 10MCCh. 8.4 - Janis noticed that in the simultaneous equations...Ch. 8.4 - Prob. 12MCCh. 8.4 - Prob. 13MCCh. 8.4 - Prob. 14MCCh. 8.4 - Prob. 15MCCh. 8.4 - Prob. 16MCCh. 8.4 - Prob. 17MCCh. 8.4 - Prob. 18MCCh. 8.4 - Prob. 19MCCh. 8.4 - Prob. 20MCCh. 8.4 - Prob. 1NAEPCh. 8.4 - Prob. 2NAEPCh. 8.4 - Prob. 3NAEPCh. 8.4 - Prob. 4NAEPCh. 8.4A - The graph of y=mx is given in the following...Ch. 8.4A - Prob. 2ACh. 8.4A - Find the x-intercept and y-intercept for the...Ch. 8.4A - Prob. 4ACh. 8.4A - Write each of the following equations in...Ch. 8.4A - For each of the following, write the equation of...Ch. 8.4A - Find the coordinates of two other collinear points...Ch. 8.4A - Prob. 8ACh. 8.4A - Prob. 9ACh. 8.4A - Find the equation for each of the following lines....Ch. 8.4A - For each of the following, find the slope, if...Ch. 8.4A - Write the equation of each line in exercise 11....Ch. 8.4A - Wildlife experts found that the number of chirps C...Ch. 8.4A - The lines AB and BC shown in the figure are graph...Ch. 8.4A - What do the graphs of the following equations have...Ch. 8.4A - Suppose a car is travelling at constant speed of...Ch. 8.4A - Solve each of the following systems, if possible....Ch. 8.4A - The owner of a 5000-gal oil truck loads the truck...Ch. 8.4A - Josephines bank contains 27 coins. If all the...Ch. 8.4B - Prob. 2ACh. 8.4B - ASSESSMENT 8-4B Find the x-intercept and...Ch. 8.4B - Prob. 4ACh. 8.4B - Prob. 5ACh. 8.4B - Prob. 6ACh. 8.4B - ASSESSMENT 8-4B Find the coordinates of two other...Ch. 8.4B - Prob. 8ACh. 8.4B - Prob. 9ACh. 8.4B - ASSESSMENT 8-4B Find the equation for each of the...Ch. 8.4B - ASSESSMENT 8-4B For each of the following, find...Ch. 8.4B - ASSESSMENT 8-4B Write the equation of each line in...Ch. 8.4B - Prob. 13ACh. 8.4B - Prob. 14ACh. 8.4B - Prob. 15ACh. 8.4B - Prob. 16ACh. 8.4B - Solve each of the following systems, if possible....Ch. 8.CR - Each of the following is a geometric sequence....Ch. 8.CR - Prob. 2CRCh. 8.CR - a. If the first two terms of an arithmetic...Ch. 8.CR - There are 13 times as many students as professors...Ch. 8.CR - Write a sentence that gives the same information...Ch. 8.CR - Write an equation to find the number of feet given...Ch. 8.CR - The sum of n whole numbers is S. If each number is...Ch. 8.CR - I am thinking a whole number. If I divide it by...Ch. 8.CR - a. Think of a number. Add 17. Double the result....Ch. 8.CR - Find all the values of x that satisfy the...Ch. 8.CR - Mike has 3 times as many baseball cards as Jordan,...Ch. 8.CR - Jeannie has 10 books overdue at the library. She...Ch. 8.CR - Three children deliver all the newspapers in a...Ch. 8.CR - Which of the following sets of ordered pairs are...Ch. 8.CR - Prob. 15CRCh. 8.CR - Prob. 16CRCh. 8.CR - Prob. 17CRCh. 8.CR - Prob. 18CRCh. 8.CR - Prob. 19CRCh. 8.CR - Prob. 20CRCh. 8.CR - Graph each of the following equations: a. y=-2x+5...Ch. 8.CR - Prob. 22CRCh. 8.CR - Solve the following equations if possible: a....Ch. 8 - NOW TRY THIS Noah has some white square tiles and...Ch. 8 - Prob. 2NTCh. 8 - NOW TRY THIS What are the values of and in...Ch. 8 - NOW TRY THIS Solve the Newspaper Delivery problem...Ch. 8 - NOW TRY THIS Determine which of the following are...Ch. 8 - NOW TRY THIS a. Use the slope formula to find the...
Additional Math Textbook Solutions
Find more solutions based on key concepts
First Derivative Test a. Locale the critical points of f. b. Use the First Derivative Test to locale the local ...
Calculus: Early Transcendentals (2nd Edition)
For Problems 23-28, write in simpler form, as in Example 4. logbFG
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Empirical versus Theoretical A Monopoly player claims that the probability of getting a 4 when rolling a six-si...
Introductory Statistics
Testing Hypotheses. In Exercises 13-24, assume that a simple random sample has been selected and test the given...
Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
The largest polynomial that divides evenly into a list of polynomials is called the _______.
Elementary & Intermediate Algebra
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
- ٣/١ B msl kd 180 Ka, Sin (1) I sin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 G 5005 1000 s = 1000-950 Copper bosses 5kW Rotor input 5 0.05 : loo kw 6) 1 /0001 ined sove in peaper I need a detailed solution on paper please وه اذا ميريد شرح الكتب فقط ١٥٠ DC 7) rotor a ' (y+xlny + xe*)dx + (xsiny + xlnx + dy = 0. Q1// Find the solution of: ( 357arrow_forward۳/۱ R₂ = X2 2) slots per pole per phase 3/31 B. 180 msl Kas Sin (I) 1sin() sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30): 0.866 4) Rotating 5) Synchronous speeds 120×50 looo G 1000-950 1000 Copper losses 5kw Rotor input 5 loo kw 0.05 6) 1 اذا ميريد شرح الكتب فقط look 7) rotor DC ined sove in peaper I need a detailed solution on paper please 0 64 Find the general solution of the following equations: QI//y(4)-16y= 0. Find the general solution of the following equations: Q2ll yll-4y/ +13y=esinx.arrow_forwardR₂ = X2 2) slots per pole per phase = 3/31 B-180 60 msl kd Kas Sin () 2 I sin (6) sin(30) Sin (30) اذا مريد شرح الكتب بس 0 بالفراغ 3 Cos (30) 0.866 4) Rotating ined sove in peaper 5) Synchronous speed s 120×50 6 s = 1000-950 1000 Copper losses 5kw Rotor input 5 0.05 6) 1 loo kw اذا ميريد شرح الكتب فقط Look 7) rotov DC I need a detailed solution on paper please 0 64 Solve the following equations: 0 Q1// Find the solution of: ( y • with y(0) = 1. dx x²+y²arrow_forward
- R₂ = X2 2) slots per pole per phase = 3/3 1 B-180-60 msl Ka Sin (1) Isin () sin(30) Sin (30) اذا ميريد شرح الكتب بس 0 بالفراغ 3) Cos (30) 0.866 4) Rotating 5) Synchronous speed, 120 x 50 s = 1000-950 1000 Copper losses 5kw Rotor input 5 6) 1 0.05 G 50105 loo kw اذا ميريد شرح الكتب فقط look 7) rotov DC ined sove in peaper I need a detailed solution on paper please 064 2- A hot ball (D=15 cm ) is cooled by forced air T.-30°C, the rate of heat transfer from the ball is 460.86 W. Take for the air -0.025 Wim °C and Nu=144.89, find the ball surface temperature a) 300 °C 16 b) 327 °C c) 376 °C d) None か = 750 01arrow_forwardAnswer questions 8.3.3 and 8.3.4 respectively 8.3.4 .WP An article in Medicine and Science in Sports and Exercise [“Electrostimulation Training Effects on the Physical Performance of Ice Hockey Players” (2005, Vol. 37, pp. 455–460)] considered the use of electromyostimulation (EMS) as a method to train healthy skeletal muscle. EMS sessions consisted of 30 contractions (4-second duration, 85 Hz) and were carried out three times per week for 3 weeks on 17 ice hockey players. The 10-meter skating performance test showed a standard deviation of 0.09 seconds. Construct a 95% confidence interval of the standard deviation of the skating performance test.arrow_forward8.6.7 Consider the tire-testing data in Exercise 8.2.3. Compute a 95% tolerance interval on the life of the tires that has confidence level 95%. Compare the length of the tolerance interval with the length of the 95% CI on the population mean. Which interval is shorter? Discuss the difference in interpretation of these two intervals.arrow_forward
- 8.6.2 Consider the natural frequency of beams described in Exercise 8.2.8. Compute a 90% prediction interval on the diameter of the natural frequency of the next beam of this type that will be tested. Compare the length of the prediction interval with the length of the 90% CI on the population mean. 8.6.3 Consider the television tube brightness test described in Exercise 8.2.7. Compute a 99% prediction interval on the brightness of the next tube tested. Compare the length of the prediction interval with the length of the 99% CI on the population mean.arrow_forwardAnswer question S8 stepwisearrow_forwardAnswer questions 8.2.11 and 8.2.12 respectivelyarrow_forward
- 8.4.2 An article in Knee Surgery, Sports Traumatology, Arthroscopy [“Arthroscopic Meniscal Repair with an Absorbable Screw: Results and Surgical Technique” (2005, Vol. 13, pp. 273–279)] showed that only 25 out of 37 tears (67.6%) located between 3 and 6 mm from the meniscus rim were healed. a. Calculate a two-sided 95% confidence interval on the proportion of such tears that will heal. b. Calculate a 95% lower confidence bound on the proportion of such tears that will heal. 8.4.3 An article in the Journal of the American Statistical Association [“Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling” (1990, Vol. 85, pp. 972–985)] measured the weight of 30 rats under experiment controls. Suppose that 12 were underweight rats. a. Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. b. Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95%…arrow_forward8.4.8 Use the data from Exercise 8.4.2 to compute the two-sided Agresti-Coull CI on the proportion of tears that heal. Compare and discuss the relationship of this interval to the one computed in Exercise 8.4.2.arrow_forwardAnswer questions 8.3.7 and 8.4.1 respectivelyarrow_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
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
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
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
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