Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
10th Edition
ISBN: 9780133347777
Author: Robert A. Carman Emeritus, Hal M. Saunders
Publisher: PEARSON
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Textbook Question
Chapter 2.1, Problem 2CE
Write in lowest terms.
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Students have asked these similar questions
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 2 Solutions
Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book
Ch. 2.1 - Write as an improper fraction. 213Ch. 2.1 - Write as an improper fraction. 712Ch. 2.1 - Write as an improper fraction. 838Ch. 2.1 - Prob. 4AECh. 2.1 - Prob. 5AECh. 2.1 - Prob. 6AECh. 2.1 - Prob. 7AECh. 2.1 - Prob. 8AECh. 2.1 - Write as an improper fraction. 456Ch. 2.1 - Prob. 10AE
Ch. 2.1 - Prob. 1BECh. 2.1 - Write as a mixed number. 85Ch. 2.1 - Write as a mixed number. 118Ch. 2.1 - Write as a mixed number. 4016Ch. 2.1 - Write as a mixed number. 32Ch. 2.1 - Prob. 6BECh. 2.1 - Prob. 7BECh. 2.1 - Prob. 8BECh. 2.1 - Write as a mixed number. 8032Ch. 2.1 - Write as a mixed number. 52Ch. 2.1 - Prob. 1CECh. 2.1 - Write in lowest terms. 46Ch. 2.1 - Write in lowest terms. 616Ch. 2.1 - Prob. 4CECh. 2.1 - Write in lowest terms. 410Ch. 2.1 - Prob. 6CECh. 2.1 - Prob. 7CECh. 2.1 - Prob. 8CECh. 2.1 - Prob. 9CECh. 2.1 - Prob. 10CECh. 2.1 - Prob. 11CECh. 2.1 - Write in lowest terms. 1035Ch. 2.1 - Prob. 13CECh. 2.1 - Prob. 14CECh. 2.1 - Write in lowest terms. 3824Ch. 2.1 - Complete. 78=?16Ch. 2.1 - Complete. 34=?16Ch. 2.1 - Complete. 18=?64Ch. 2.1 - Prob. 4DECh. 2.1 - Complete. 114=?16Ch. 2.1 - Complete. 278=?32Ch. 2.1 - Prob. 7DECh. 2.1 - Complete. 1116=?32Ch. 2.1 - Prob. 9DECh. 2.1 - Prob. 10DECh. 2.1 - Prob. 11DECh. 2.1 - Prob. 12DECh. 2.1 - Prob. 1EECh. 2.1 - Prob. 2EECh. 2.1 - Prob. 3EECh. 2.1 - Prob. 4EECh. 2.1 - E. Which is larger? 78or56Ch. 2.1 - Prob. 6EECh. 2.1 - Prob. 7EECh. 2.1 - Prob. 8EECh. 2.1 - Prob. 9EECh. 2.1 - E. Which is larger? 312or274Ch. 2.1 - Prob. 11EECh. 2.1 - Prob. 12EECh. 2.1 - F. Practical Applications Carpentry An apprentice...Ch. 2.1 - F. Practical Applications Electrical Trades An...Ch. 2.1 - F. Practical Applications The numbers 227, 196,...Ch. 2.1 - F. Practical Applications Sheet Metal Trades Which...Ch. 2.1 - F. Practical Applications Plumbing Is it possible...Ch. 2.1 - F. Practical Applications Sheet Metal Trades...Ch. 2.1 - F. Practical Applications Printing A printer has...Ch. 2.1 - F. Practical Applications Machine Trades A...Ch. 2.1 - F. Practical Applications Landscaping Before it...Ch. 2.1 - F. Practical Applications Roofing A ridge beam...Ch. 2.1 - F. Practical Applications Construction A 34-in....Ch. 2.1 - Prob. 12FECh. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms. 612Ch. 2.2 - Multiply and write the answer in lowest terms. 893Ch. 2.2 - Prob. 6AECh. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Multiply and write the answer in lowest terms....Ch. 2.2 - Prob. 19AECh. 2.2 - Prob. 20AECh. 2.2 - Prob. 21AECh. 2.2 - Prob. 22AECh. 2.2 - Prob. 23AECh. 2.2 - Prob. 24AECh. 2.2 - Prob. 25AECh. 2.2 - Prob. 1BECh. 2.2 - Prob. 2BECh. 2.2 - Prob. 3BECh. 2.2 - Prob. 4BECh. 2.2 - Find. 12 of 112Ch. 2.2 - Prob. 6BECh. 2.2 - Prob. 7BECh. 2.2 - Prob. 8BECh. 2.2 - Find. 43 of 34Ch. 2.2 - Prob. 10BECh. 2.2 - Prob. 11BECh. 2.2 - B. Find. 35of4Ch. 2.2 - B. Find. 716of6Ch. 2.2 - Prob. 14BECh. 2.2 - Prob. 15BECh. 2.2 - Prob. 16BECh. 2.2 - Practical Applications Flooring and Carpeting Find...Ch. 2.2 - Prob. 2CECh. 2.2 - Practical Applications Roofing Shingles are laid...Ch. 2.2 - Prob. 4CECh. 2.2 - Prob. 5CECh. 2.2 - Prob. 6CECh. 2.2 - Prob. 7CECh. 2.2 - Practical Applications Machine Trades What is the...Ch. 2.2 - Practical Applications Manufacturing How many...Ch. 2.2 - Practical Applications Plumbing A plumber cut...Ch. 2.2 - Practical Applications Machine Trades How far will...Ch. 2.2 - Prob. 12CECh. 2.2 - Practical Applications Drafting If 38 in. on a...Ch. 2.2 - Practical Applications Manufacturing What is the...Ch. 2.2 - Practical Applications Machine Trades How long...Ch. 2.2 - Prob. 16CECh. 2.2 - Prob. 17CECh. 2.2 - Prob. 18CECh. 2.2 - Practical Applications Photography A photograph...Ch. 2.2 - Prob. 20CECh. 2.2 - Prob. 21CECh. 2.2 - Practical Applications Water/Wastewater Treatment...Ch. 2.2 - Prob. 23CECh. 2.2 - Practical Applications Plumbing To find the degree...Ch. 2.2 - Prob. 25CECh. 2.2 - Prob. 26CECh. 2.2 - Prob. 27CECh. 2.2 - Prob. 28CECh. 2.2 - Prob. 29CECh. 2.2 - Prob. 30CECh. 2.2 - Prob. 31CECh. 2.2 - C. Practical Applications Carpentry A carpenter is...Ch. 2.2 - C. Practical Applications Retail Merchandising...Ch. 2.3 - Prob. 1AECh. 2.3 - Prob. 2AECh. 2.3 - Prob. 3AECh. 2.3 - Prob. 4AECh. 2.3 - Prob. 5AECh. 2.3 - Prob. 6AECh. 2.3 - Prob. 7AECh. 2.3 - Prob. 8AECh. 2.3 - Prob. 9AECh. 2.3 - Prob. 10AECh. 2.3 - Prob. 11AECh. 2.3 - Prob. 12AECh. 2.3 - Prob. 13AECh. 2.3 - Prob. 14AECh. 2.3 - Prob. 15AECh. 2.3 - Prob. 16AECh. 2.3 - Prob. 17AECh. 2.3 - Prob. 18AECh. 2.3 - Prob. 19AECh. 2.3 - Prob. 20AECh. 2.3 - Prob. 21AECh. 2.3 - Prob. 22AECh. 2.3 - Prob. 23AECh. 2.3 - Divide and write the answer in lowest terms....Ch. 2.3 - Drafting How many feet are represented by a 4-in....Ch. 2.3 - Drafting If 14in. on a drawing represents 1 ft 0...Ch. 2.3 - Flooring and Carpeting How many boards 458 in....Ch. 2.3 - Construction How many supporting columns 8812in....Ch. 2.3 - Construction How many pieces of 12in. plywood are...Ch. 2.3 - Prob. 6BECh. 2.3 - Prob. 7BECh. 2.3 - Prob. 8BECh. 2.3 - Prob. 9BECh. 2.3 - Prob. 10BECh. 2.3 - Prob. 11BECh. 2.3 - Prob. 12BECh. 2.3 - Prob. 13BECh. 2.3 - Prob. 14BECh. 2.3 - Prob. 15BECh. 2.3 - Prob. 16BECh. 2.3 - Prob. 17BECh. 2.3 - Prob. 18BECh. 2.3 - Prob. 19BECh. 2.3 - Prob. 20BECh. 2.4 - Prob. 1AECh. 2.4 - Add or subtract as shown. 512+1112Ch. 2.4 - Prob. 3AECh. 2.4 - Prob. 4AECh. 2.4 - Add or subtract as shown. 3414Ch. 2.4 - Prob. 6AECh. 2.4 - Prob. 7AECh. 2.4 - Add or subtract as shown. 512212Ch. 2.4 - Add or subtract as shown. 516+316+716Ch. 2.4 - Add or subtract as shown. 18+38+78Ch. 2.4 - Add or subtract as shown. 17838Ch. 2.4 - Add or subtract as shown. 39161516Ch. 2.4 - Add or subtract as shown. 14+12Ch. 2.4 - Add or subtract as shown. 716+38Ch. 2.4 - Add or subtract as shown. 58+112Ch. 2.4 - Add or subtract as shown. 512+316Ch. 2.4 - Add or subtract as shown. 1238Ch. 2.4 - Add or subtract as shown. 516332Ch. 2.4 - Add or subtract as shown. 151612Ch. 2.4 - Add or subtract as shown. 716132Ch. 2.4 - Add or subtract as shown. 35+18Ch. 2.4 - Add or subtract as shown. 23+45Ch. 2.4 - Add or subtract as shown. 7825Ch. 2.4 - Add or subtract as shown. 4914Ch. 2.4 - Add or subtract as shown. 12+1418Ch. 2.4 - Prob. 26AECh. 2.4 - Prob. 27AECh. 2.4 - Prob. 28AECh. 2.4 - Prob. 29AECh. 2.4 - Prob. 30AECh. 2.4 - Add or subtract as shown. 213+115Ch. 2.4 - Add or subtract as shown. 178+14Ch. 2.4 - Prob. 33AECh. 2.4 - Prob. 34AECh. 2.4 - Add or subtract as shown. 3152112Ch. 2.4 - Prob. 36AECh. 2.4 - Add or subtract as shown. 8278Ch. 2.4 - Prob. 2BECh. 2.4 - Prob. 3BECh. 2.4 - Add or subtract as shown. 12+13+14+15Ch. 2.4 - Prob. 5BECh. 2.4 - Prob. 6BECh. 2.4 - Prob. 7BECh. 2.4 - Prob. 8BECh. 2.4 - B. Add or subtract as shown. 2316lessthan478Ch. 2.4 - Prob. 10BECh. 2.4 - B. Add or subtract as shown. 235 less than 612Ch. 2.4 - Prob. 12BECh. 2.4 - C. Practical Applications Construction The...Ch. 2.4 - C. Practical Applications Carpentry A countertop...Ch. 2.4 - Prob. 3CECh. 2.4 - Prob. 4CECh. 2.4 - Prob. 5CECh. 2.4 - Prob. 6CECh. 2.4 - Prob. 7CECh. 2.4 - Prob. 8CECh. 2.4 - Prob. 9CECh. 2.4 - Prob. 10CECh. 2.4 - Prob. 11CECh. 2.4 - Prob. 12CECh. 2.4 - Prob. 13CECh. 2.4 - Prob. 14CECh. 2.4 - Prob. 15CECh. 2.4 - Prob. 16CECh. 2.4 - Prob. 17CECh. 2.4 - Prob. 18CECh. 2.4 - Prob. 19CECh. 2.4 - Prob. 20CECh. 2.4 - Prob. 21CECh. 2.4 - Prob. 22CECh. 2.4 - Prob. 23CECh. 2.4 - Prob. 24CECh. 2.4 - Prob. 25CECh. 2 - Work with fractions. (a) Write as a mixed number...Ch. 2 - Multiply and divide fractions. (a) 78532 (b) 41223...Ch. 2 - Add and subtract fractions. (a) 716+316 (b)...Ch. 2 - Solve practical problems involving fractions....Ch. 2 - A. Write as an improper fraction. 118Ch. 2 - A. Write as an improper fraction. 415Ch. 2 - A. Write as an improper fraction. 123Ch. 2 - A. Write as an improper fraction. 2316Ch. 2 - A. Write as an improper fraction. 3332Ch. 2 - Prob. 6APSCh. 2 - A. Write as an improper fraction. 158Ch. 2 - Prob. 8APSCh. 2 - A. Write as a mixed number. 104Ch. 2 - Prob. 10APSCh. 2 - A. Write as a mixed number. 253Ch. 2 - Prob. 12APSCh. 2 - Prob. 13APSCh. 2 - Prob. 14APSCh. 2 - A. Write as a mixed number. 354Ch. 2 - A. Write as a mixed number. 73Ch. 2 - A. Write in lowest terms. 632Ch. 2 - A. Write in lowest terms. 832Ch. 2 - A. Write in lowest terms. 1232Ch. 2 - Prob. 20APSCh. 2 - A. Write in lowest terms. 520Ch. 2 - Prob. 22APSCh. 2 - A. Write in lowest terms. 11620Ch. 2 - Prob. 24APSCh. 2 - A. Complete these. 34=?12Ch. 2 - Prob. 26APSCh. 2 - A. Complete these. 234=?16Ch. 2 - Prob. 28APSCh. 2 - A. Complete these. 523=?12Ch. 2 - Prob. 30APSCh. 2 - A. Complete these. 114=?12Ch. 2 - A. Complete these. 235=?10Ch. 2 - A. Circle the larger number. 716or215Ch. 2 - Prob. 34APSCh. 2 - A. Circle the larger number. 1316or78Ch. 2 - Prob. 36APSCh. 2 - A. Circle the larger number. 1332or35Ch. 2 - A. Circle the larger number. 210or316Ch. 2 - A. Circle the larger number. 1716 or 74Ch. 2 - Prob. 40APSCh. 2 - B. Multiply 12316Ch. 2 - Prob. 2BPSCh. 2 - B. Multiply 71643Ch. 2 - Prob. 4BPSCh. 2 - B. Multiply 11256Ch. 2 - B. Multiply 311615Ch. 2 - B. Multiply 316512Ch. 2 - Prob. 8BPSCh. 2 - B. Multiply 3410Ch. 2 - Prob. 10BPSCh. 2 - B. Multiply or divide as shown. 18112Ch. 2 - Prob. 12BPSCh. 2 - B. Multiply or divide as shown. 223438Ch. 2 - Prob. 14BPSCh. 2 - Multiply or divide as shown. 1214Ch. 2 - Prob. 16BPSCh. 2 - Multiply or divide as shown. 418Ch. 2 - Multiply or divide as shown. 834Ch. 2 - Multiply or divide as shown. 234Ch. 2 - Prob. 20BPSCh. 2 - Multiply or divide as shown. 3125Ch. 2 - Prob. 22BPSCh. 2 - Multiply or divide as shown. 234118Ch. 2 - Prob. 24BPSCh. 2 - C. Add or subtract as shown. 38+78Ch. 2 - Prob. 2CPSCh. 2 - C. Add or subtract as shown. 332+18Ch. 2 - Prob. 4CPSCh. 2 - C. Add or subtract as shown. 35+56Ch. 2 - Prob. 6CPSCh. 2 - Prob. 7CPSCh. 2 - Prob. 8CPSCh. 2 - Prob. 9CPSCh. 2 - Prob. 10CPSCh. 2 - C. Add or subtract as shown. 78310Ch. 2 - Prob. 12CPSCh. 2 - C. Add or subtract as shown. 218+114Ch. 2 - Prob. 14CPSCh. 2 - C. Add or subtract as shown. 6112Ch. 2 - Prob. 16CPSCh. 2 - C. Add or subtract as shown. 323178Ch. 2 - Prob. 18CPSCh. 2 - C. Add or subtract as shown. 12+13+15Ch. 2 - Prob. 20CPSCh. 2 - C. Add or subtract as shown. 312213Ch. 2 - C. Add or subtract as shown. 2351415Ch. 2 - C. Add or subtract as shown. 2135Ch. 2 - Prob. 24CPSCh. 2 - D. Practical Applications Welding In a welding...Ch. 2 - D. Practical Applications Machine Trades How many...Ch. 2 - D. Practical Applications Welding A piece of metal...Ch. 2 - D. Practical Applications Automotive Trades A...Ch. 2 - D. Practical Applications Machine Trades A shaft...Ch. 2 - D Practical Applications Machine Trades A bar...Ch. 2 - D. Practical Applications Manufacturing A cubic...Ch. 2 - D. Practical Applications Manufacturing Find the...Ch. 2 - D. Practical Applications Machine Trades What...Ch. 2 - D. Practical Applications Machine Trades The Ace...Ch. 2 - D. Practical Applications Carpentry What is the...Ch. 2 - D. Practical Applications Construction For the...Ch. 2 - D. Practical Applications Carpentry Find the...Ch. 2 - D. Practical Applications Masonry Find the height...Ch. 2 - D. Practical Applications Masonry If the wall in...Ch. 2 - D. Practical Applications Electrical Trades An...Ch. 2 - D. Practical Applications Printing An invitation...Ch. 2 - D. Practical Applications Printing As a rule of...Ch. 2 - D. Practical Applications Welding A 46-in. bar...Ch. 2 - D. Practical Applications Construction If an...Ch. 2 - D. Practical Applications Machine Trades If a...Ch. 2 - Prob. 22DPSCh. 2 - Prob. 23DPSCh. 2 - D. Practical Applications Machine Trades A machine...Ch. 2 - D. Practical Applications Automotive Trades On a...Ch. 2 - D. Practical Applications Automotive Trades A...Ch. 2 - D. Practical Applications Allied Health One bottle...Ch. 2 - D. Practical Applications Construction The...Ch. 2 - Prob. 29DPSCh. 2 - Prob. 30DPSCh. 2 - Flooring and Carpeting In the United States carpet...Ch. 2 - D. Practical Applications Retail Merchandising In...Ch. 2 - D. Practical Applications Retail Merchandising The...
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