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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Question

Chapter 10.CR, Problem 20CR

To determine

(a)

To find:

How much the weight in one year expected if person weighs 175 lb

To determine

(b)

To explain:

Whether a person can lose this much weight that we have done in part(a)

To determine

(c)

To explain:

On what basis did the company made disclaimer average weight loss is five lb along with lose up to 6 lb in 2 weeks”

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Chapter 10.CR, Problem 18CR

Chapter 10.CR, Problem 21CR

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1. (20 pts) Determine whether the following statements are true (T) or false (F)? (A reasoning is required.) (1) Let V be the set of all ordered pairs of real numbers. Consider the following addition and scalar multiplication operations on u = u= (u1, u2) and v = (v1, v2): u + v = (U₁ + V₁, U₂ + v₂), ku = (ku₁, u₂). Is V a vector space under the above operations? U2 (2) The set Mmxn of all m×n matrices with the usual operations of addition and scalar multiplication is a vector space. α (3) The dimension of the vector space of all matrices A = [a b] in R2×2 with a+d=0 is 4. (4) The coordinate vector of p(x) = 2-x+x² in P3 relative to the basis S = {1, 1+x, x + x2} is [4 -2 1]. (5) If a 6×4 matrix A has a rank 3, then the dimension of N(A) is 3.

Scenario Sales of products by color follow a peculiar, but predictable, pattern that determines how many units will sell in any given year. This pattern is shown below Product Color 1995 1996 1997 Red 28 42 21 1998 23 1999 29 2000 2001 2002 Unit Sales 2003 2004 15 8 4 2 1 2005 2006 discontinued Green 26 39 20 22 28 14 7 4 2 White 43 65 33 36 45 23 12 Brown 58 87 44 48 60 Yellow 37 56 28 31 Black 28 42 21 Orange 19 29 Purple Total 28 42 21 49 68 78 95 123 176 181 164 127 24 179 Questions A) Which color will sell the most units in 2007? B) Which color will sell the most units combined in the 2007 to 2009 period? Please show all your analysis, leave formulas in cells, and specify any assumptions you make.

5. (20%) The linear transformation L: P3 → P2 defined by L(f(x)) = f'(x)+ f(0). (a) Find the representing matrix A of L with respect to the ordered basis {x2, x, 1} for P3, and the ordered basis {2,1 - x} for P2. (b) Find the coordinates of the f(x) = 2x² +2 in P3 with respect to the ordered basis {x2,-x, 1}, and find the coordinates of L(f(x)) with respect to the ordered basis {2,1-x}

Chapter 10 Solutions

A Problem Solving Approach to Mathematics for Elementary School Teachers (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. 7MC Ch. 10.1 - National Assessment of Educational ProgressNAEP...Ch. 10.1 - Prob. 2NAEP Ch. 10.1A - A second-grade class has a project to determine...Ch. 10.1A - Prob. 2A Ch. 10.1A - Prob. 3A

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(a) To find: How much the weight in one year expected if person weighs 175 l b

Solution Summary: The author explains how the company made a disclaimer that average weight loss is five lb.

Videos

(a)

To find:

How much the weight in one year expected if person weighs 175 lb

(b)

To explain:

Whether a person can lose this much weight that we have done in part(a)

(c)

To explain:

On what basis did the company made disclaimer average weight loss is five lb along with lose up to 6 lb in 2 weeks”

Want to see the full answer?

Chapter 10 Solutions

(a) To find: How much the weight in one year expected if person weighs 175 l b

Solution Summary: The author explains how the company made a disclaimer that average weight loss is five lb.

Videos

(a) To find: How much the weight in one year expected if person weighs 175 lb

(b) To explain: Whether a person can lose this much weight that we have done in part(a)

(c) To explain: On what basis did the company made disclaimer average weight loss is five lb along with lose up to 6 lb in 2 weeks”

Want to see the full answer?

Chapter 10 Solutions

(a)

To find:

How much the weight in one year expected if person weighs 175 lb

(b)

To explain:

Whether a person can lose this much weight that we have done in part(a)

(c)

To explain:

On what basis did the company made disclaimer average weight loss is five lb along with lose up to 6 lb in 2 weeks”