A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
12th Edition
ISBN: 9780321987297
Author: Rick Billstein, Shlomo Libeskind, Johnny Lott
Publisher: PEARSON
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Chapter 1.2, Problem 16MC
To determine
To explain:
The statement given by student about finding easy way to find number of term in arithmetic sequence is true or false,
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A communications tower is located at the top
of a steep hill, as shown. The angle of
inclination of the hill is 77°. A guy wire is to be
attached to the top of the tower and to the
ground, 102 ft downhill from the base of the
tower. The angle formed by the guy wire is 9°.
Find the length of the cable required for the
guy wire.
9°
102 ft
77°
NOTE: The picture is NOT drawn to scale.
length of guy-wire =
ft
Enter your answer as a number; your answer
should be accurate to 2 decimal places.
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Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = Aekt, where A is the rate of increase at time 0 (in cells per day) and k is a constant.
(a) Suppose A = 60, and at 3 days, the cells are growing at a rate of 180 per day. Find a formula for the number of cells after t days, given that 200 cells are present at t = 0.
(b) Use your answer from part (a) to find the number of cells present after 8 days.
(a) Find a formula for the number of cells, N(t), after t days.
N(t) =
(Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
Chapter 1 Solutions
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Ch. 1.1 - Mathematical Connections 1-2 a. If a fixed number...Ch. 1.1 - Mathematical Connections 1-2 A student says she...Ch. 1.1 - Mathematical Connections 1-2 Abby and Dan are...Ch. 1.1 - Consider a game where you have two distict piles...Ch. 1.1 - Mathematical Connections 1-2 A mathematician named...Ch. 1.1 - Mathematical Connections 1-2 The figure below...Ch. 1.1 - Mathematical Connections 1-1 The distance around...Ch. 1.1 - Work in pairs on the following versions of a game...Ch. 1.1 - John asks why the last step of Polyas four-step...Ch. 1.1 - Mathematical Connections 1-2 Connecting...
Ch. 1.1 - Mathematical Connections 1-2 Connecting...Ch. 1.1 - National Assessment of Educational Progress NAEP...Ch. 1.1 - A pattern of dots is shown above. How many dots...Ch. 1.1 - Susie said, I have 83c but fewer than 10 coins....Ch. 1.1 - An Introduction to Problem Solving Sam folds a...Ch. 1.1A - Use the approach in Gausss Problem to find the...Ch. 1.1A - Use the ideas in drawings a and b to find the...Ch. 1.1A - Find the sum 36+37+38+39+...+146+147.Ch. 1.1A - Assessment 1-1A Cookies are sold singly or in...Ch. 1.1A - Assessment 1-1A In a big red box, there are 7...Ch. 1.1A - Assessment 1-1A How many triangles are in the...Ch. 1.1A - Without computing each sum of the arithmetic...Ch. 1.1A - Assessment 1-1A Alababa, Bubba, Cory, and Dandy...Ch. 1.1A - Assessment 1-1A How many ways can you make change...Ch. 1.1A - Assessment 1-1A The following is a magic square...Ch. 1.1A - Assessment 1-1A Debbie and Amy began reading a...Ch. 1.1A - Assessment 1-1A The 14 digits of a credit card are...Ch. 1.1A - Assessment 1-1A Three closed boxes A, B, and C of...Ch. 1.1A - Assessment 1-1A An electrician charges 50 per hour...Ch. 1.1A - Assessment 1-1A Kathy stood on the middle rung of...Ch. 1.1B - Use the approach in Gausss Problem to find the...Ch. 1.1B - Use the diagram below to explain how to find the...Ch. 1.1B - Find the sum of 58+59+60+61+...+203.Ch. 1.1B - Eve Merriam " titled her childrens book...Ch. 1.1B - Prob. 5ACh. 1.1B - How many squares are in the following figure?Ch. 1.1B - If P=1+3+5+7+...+99 and Q=5+7+9...+101 are sums of...Ch. 1.1B - The sign says that you are leaving Missoula, Butte...Ch. 1.1B - Marc goes to the store with exactly 1.00 in...Ch. 1.1B - Find a 3-by-3 magic square using the numbers 3, 5,...Ch. 1.1B - Eight marbles look alike, but one is slightly...Ch. 1.1B - Recall the song "TheTwelveDaysofChristmas": On the...Ch. 1.1B - a. Suppose you have quarters, dimes and pennies...Ch. 1.1B - Suppose you buy lunch for the math club. You have...Ch. 1.1B - One winter night the temperature fell 15 degrees...Ch. 1.2 - a. If a fixed number is added to each term of an...Ch. 1.2 - A student says she read that Thomas Robert Malthus...Ch. 1.2 - MATHEMATICAL CONNECTIONS Abby to take place in 5...Ch. 1.2 - MATHEMATICAL CONNECTIONS The arithmetic average of...Ch. 1.2 - Prob. 5MCCh. 1.2 - Prob. 6MCCh. 1.2 - Prob. 7MCCh. 1.2 - Prob. 8MCCh. 1.2 - Prob. 9MCCh. 1.2 - Prob. 10MCCh. 1.2 - The following pattern is called Pascals triangle....Ch. 1.2 - Prob. 12MCCh. 1.2 - MATHEMATICAL CONNECTIONS Joey said that 4, 24, 44,...Ch. 1.2 - Mathematical Connections A1 and Betty were asked...Ch. 1.2 - MATHEMATICAL CONNECTIONS A student claims the...Ch. 1.2 - Prob. 16MCCh. 1.2 - Mathematical connections 12 In a baseball league...Ch. 1.2 - Mathematical connections 12 How many ways can you...Ch. 1.2 - Mathematical connections 12 Tents hold...Ch. 1.2 - Prob. 1NAEPCh. 1.2 - NATIONAL ASSESSMENT OF EDUCATIONAL PROGRESS NAEP...Ch. 1.2 - A car can seat c adults. A van can seat 4 more...Ch. 1.2 - Prob. 4NAEPCh. 1.2A - ASSESSEMENT For each of the following sequences of...Ch. 1.2A - ASSESSMENT Each of the following sequences is...Ch. 1.2A - Assessment Find the 100th term and the nth term...Ch. 1.2A - ASSESSMENT Use a traditional clock face to...Ch. 1.2A - ASSESSMENT The pattern 1,8,27,64,125,... is a...Ch. 1.2A - ASSESSMENT The first windmill has 5 matchstick...Ch. 1.2A - ASSESSMENT In the following sequence, the figures...Ch. 1.2A - ASSESSMENT The school population for a certain...Ch. 1.2A - Joes annual income has been increasing each year...Ch. 1.2A - The first difference of a sequence is the...Ch. 1.2A - List the next three terms to continue a pattern in...Ch. 1.2A - Assessment How many terms are there in each of the...Ch. 1.2A - ASSESSMENT Find the first five terms in sequences...Ch. 1.2A - Find a counterexample for each of the following:...Ch. 1.2A - Assume that the following patterns are built of...Ch. 1.2A - ASSESSMENT Consider the sequences given in the...Ch. 1.2A - ASSESSMENT A sheet of paper is cut into 5...Ch. 1.2A - Assessment Each of the following sequences is...Ch. 1.2A - Assessment A Fibonacci-type sequence is a sequence...Ch. 1.2A - Prob. 20ACh. 1.2A - ASSESSMENT A new pair of tennis shoes cost 80. If...Ch. 1.2B - ASSESSEMENT For each of the following sequences of...Ch. 1.2B - Assessment Each of the following sequences is...Ch. 1.2B - Find the 100th term and the nth term for each of...Ch. 1.2B - ASSESSMENT Use a traditional clock face to...Ch. 1.2B - Assessment Observe the following pattern:...Ch. 1.2B - In the following pattern, one hexagon takes 6...Ch. 1.2B - ASSESSMENT Each successive figure below is made of...Ch. 1.2B - ASSESSMENT A tank contains 15,360L of water. At...Ch. 1.2B - ASSESSMENT The Washington Middle School time is an...Ch. 1.2B - The first difference of a sequence is the...Ch. 1.2B - Prob. 11ACh. 1.2B - ASSESSMENT How many terms are there in a following...Ch. 1.2B - ASSESSMENT Find the first five terms in sequences...Ch. 1.2B - ASSESSMENT Find a counterexample for each of the...Ch. 1.2B - ASSESSMENT Assume the following pattern with terms...Ch. 1.2B - ASSESSMENT Consider the sequences given in the...Ch. 1.2B - Female bees are born fertilized eggs, and male...Ch. 1.2B - Assessment Each of the following sequences is...Ch. 1.2B - Prob. 19ACh. 1.2B - Starting with 1 and 1 as the first two terms of...Ch. 1.CR - CHAPTER 1 REVIEW If today is Sunday, July 4, and...Ch. 1.CR - CHAPTER 1 REVIEW Jackie spent 40 on two items. If...Ch. 1.CR - A nursery rhyme states: A diller, a dollar, a ten...Ch. 1.CR - CHAPTER 1 REVIEW List three more terms that...Ch. 1.CR - Find a possible nth term in each of the following:...Ch. 1.CR - Prob. 6CRCh. 1.CR - CHAPTER 1 REVIEW Find the following sums: a....Ch. 1.CR - Prob. 8CRCh. 1.CR - Prob. 9CRCh. 1.CR - Prob. 10CRCh. 1.CR - CHAPTER 1 REVIEW Solve the following equations: a....Ch. 1.CR - CHAPTER 1 REVIEW If fence posts are to be placed...Ch. 1.CR - If a complete rotation of a car tire moves car...Ch. 1.CR - CHAPTER 1 REVIEW The members of Mrs. Grants class...Ch. 1.CR - CHAPTER 1 REVIEW A carpenter has three large...Ch. 1.CR - Use differences to find the next term in the...Ch. 1.CR - CHAPTER 1 REVIEW An ant farm can hold 100,000...Ch. 1.CR - CHAPTER 1 REVIEW Tomas team entered a mathematics...Ch. 1.CR - CHAPTER 1 REVIEW Three pieces of wood are needed...Ch. 1.CR - CHAPTER 1 REVIEW How many four-digit numbers have...Ch. 1.CR - If n and m are natural numbers and nm, how many...Ch. 1.CR - Prob. 22CRCh. 1.CR - Prob. 23CRCh. 1.CR - Prob. 24CRCh. 1.CR - a. If every second term in an arithmetic sequence...Ch. 1.CR - Prob. 26CRCh. 1.CR - CHAPTER 1 REVIEW Each of the following is a...Ch. 1 - NOW TRY THIS Explain whether the approach in...Ch. 1 - NOW TRY THIS Find the sum of consecutive natural...Ch. 1 - NOW TRY THIS Each of 16 people in a round-robin...Ch. 1 - NOW TRY THIS An elevator stopped at the middle...Ch. 1 - Prob. 5NTCh. 1 - NOW TRY THIS A prime number is a natural number...Ch. 1 - In Figure 13, we want to know how many different...Ch. 1 - Prob. 8NTCh. 1 - NOW TRY THIS Consider the rectangular numbers in...
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