Elementary Technical Mathematics
Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Chapter 5, Problem 3R

For any number a expect 0, a , a ⋅ 1 a = ?

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Chapter 5 Solutions

Elementary Technical Mathematics

Ch. 5.1 - Prob. 1ECh. 5.1 - Evaluate each expression: (2)(3)2+3(2)6Ch. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Evaluate each expression: (9)233(6)+[ 3(2)5(3) ]Ch. 5.1 - Evaluate each expression: [ (2)(8)2(2)3 ][ 4+(2)4...Ch. 5.1 - Prob. 10E
Ch. 5.1 - In Exercise 11-16, let x=2 and y=3, and evaluate...Ch. 5.1 - In Exercise 11-16, let x=2 and y=3, and evaluate...Ch. 5.1 - In Exercise 11-16, let x=2 and y=3, and evaluate...Ch. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - In Exercise 11-16, let x=2 and y=3, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - Prob. 24ECh. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercise 17-26, let x=1 and y=5, and evaluate...Ch. 5.1 - In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate...Ch. 5.1 - In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate...Ch. 5.1 - In Exercises 27-32, let x=3,y=4,andz=6 . Evaluate...Ch. 5.1 - Prob. 30ECh. 5.1 - Prob. 31ECh. 5.1 - Prob. 32ECh. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - Prob. 34ECh. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - Prob. 36ECh. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - Prob. 39ECh. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.1 - In Exercises 33-42, let x=1,y=2,andz=3 . Evaluate...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Prob. 13ECh. 5.2 - Prob. 14ECh. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Remove the parentheses from each expression:...Ch. 5.2 - Prob. 20ECh. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Combine the like terms: 6a2+a+12aCh. 5.2 - Combine the like terms: 5x2+3x28x2Ch. 5.2 - Prob. 31ECh. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Combine the like terms: 3x25x2+4x2+x4+5x2x+2Ch. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Prob. 48ECh. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Prob. 51ECh. 5.2 - Prob. 52ECh. 5.2 - Prob. 53ECh. 5.2 - Prob. 54ECh. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Prob. 57ECh. 5.2 - Prob. 58ECh. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Prob. 60ECh. 5.2 - Prob. 61ECh. 5.2 - Prob. 62ECh. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Prob. 64ECh. 5.2 - Prob. 65ECh. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Prob. 67ECh. 5.2 - Prob. 68ECh. 5.2 - Prob. 69ECh. 5.2 - Prob. 70ECh. 5.2 - Prob. 71ECh. 5.2 - Prob. 72ECh. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Prob. 74ECh. 5.2 - Prob. 75ECh. 5.2 - Prob. 76ECh. 5.2 - Simplify by first removing the parentheses and...Ch. 5.2 - Prob. 78ECh. 5.3 - Classify each expression as a monomial, a...Ch. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Prob. 4ECh. 5.3 - Prob. 5ECh. 5.3 - Classify each expression as a monomial, a...Ch. 5.3 - Prob. 7ECh. 5.3 - Classify each expression as a monomial, a...Ch. 5.3 - Classify each expression as a monomial, a...Ch. 5.3 - Classify each expression as a monomial, a...Ch. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Rearrange each polynomial in decreasing order and...Ch. 5.3 - Rearrange each polynomial in decreasing order and...Ch. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Rearrange each polynomial in decreasing order and...Ch. 5.3 - Rearrange each polynomial in decreasing order and...Ch. 5.3 - Rearrange each polynomial in decreasing order and...Ch. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Add the following polynomials: (6x27x+5)+(3x2+2x5)Ch. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Prob. 27ECh. 5.3 - Prob. 28ECh. 5.3 - Prob. 29ECh. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - Prob. 38ECh. 5.3 - Find each difference: (3x25x+4)(6x27x+2)Ch. 5.3 - Find each difference: (13x2x2)(15x+x2)Ch. 5.3 - Find each difference: (3a4b)(2a7b)Ch. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - Find each difference: (20w217w6)(13w2+7w)Ch. 5.3 - Find each difference: (y22y+1)(2y2+3y+5)Ch. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - Prob. 51ECh. 5.3 - Prob. 52ECh. 5.3 - Prob. 53ECh. 5.3 - Prob. 54ECh. 5.3 - Prob. 55ECh. 5.3 - Subtract the following polynomials:...Ch. 5.3 - Subtract the following polynomials:...Ch. 5.3 - Prob. 58ECh. 5.4 - Find each product: (3a)(5)Ch. 5.4 - Prob. 2ECh. 5.4 - Prob. 3ECh. 5.4 - Prob. 4ECh. 5.4 - Find each product: (9m2)(6m2)Ch. 5.4 - Prob. 6ECh. 5.4 - Find each product: (8a6)(4a2)Ch. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - Prob. 10ECh. 5.4 - Find each product: (6n)(5n2m)Ch. 5.4 - Find each product: (9ab2)(6a2b3)Ch. 5.4 - Prob. 13ECh. 5.4 - Prob. 14ECh. 5.4 - Prob. 15ECh. 5.4 - Prob. 16ECh. 5.4 - Find each product: (8a2bc)(3ab3c2)Ch. 5.4 - Find each product: (4xy2z3)(4x5z3)Ch. 5.4 - Find each product: (23x2y)(932xy4z3)Ch. 5.4 - Prob. 20ECh. 5.4 - Prob. 21ECh. 5.4 - Prob. 22ECh. 5.4 - Prob. 23ECh. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Use the rules for exponents to simplify: (xy)4Ch. 5.4 - Prob. 27ECh. 5.4 - Prob. 28ECh. 5.4 - Use the rules for exponents to simplify: (3x4)2Ch. 5.4 - Use the rules for exponents to simplify: (5x2)3Ch. 5.4 - Prob. 31ECh. 5.4 - Prob. 32ECh. 5.4 - Use the rules for exponents to simplify: (x2x3)2Ch. 5.4 - Prob. 34ECh. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Use the rules for exponents to simplify: (5x3y2)2Ch. 5.4 - Prob. 38ECh. 5.4 - Prob. 39ECh. 5.4 - Prob. 40ECh. 5.4 - Prob. 41ECh. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5.4 - Use the rules for exponents to simplify: (16x4x5)3Ch. 5.4 - Use the rules for exponents to simplify: (2x3y4z)3Ch. 5.4 - Prob. 46ECh. 5.4 - Prob. 47ECh. 5.4 - Prob. 48ECh. 5.4 - Prob. 49ECh. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - Prob. 52ECh. 5.4 - Prob. 53ECh. 5.4 - Prob. 54ECh. 5.4 - Prob. 55ECh. 5.4 - Prob. 56ECh. 5.4 - Prob. 57ECh. 5.4 - Prob. 58ECh. 5.4 - Prob. 59ECh. 5.4 - Prob. 60ECh. 5.4 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - Prob. 63ECh. 5.4 - Prob. 64ECh. 5.4 - Prob. 65ECh. 5.4 - Prob. 66ECh. 5.4 - Prob. 67ECh. 5.4 - Evaluate each expression when a=2andb=3: b4Ch. 5.5 - Find each product. 4(a+6)Ch. 5.5 - Prob. 2ECh. 5.5 - Prob. 3ECh. 5.5 - Prob. 4ECh. 5.5 - Prob. 5ECh. 5.5 - Prob. 6ECh. 5.5 - Prob. 7ECh. 5.5 - Prob. 8ECh. 5.5 - Prob. 9ECh. 5.5 - Prob. 10ECh. 5.5 - Find each product. 3x(4x27x2)Ch. 5.5 - Prob. 12ECh. 5.5 - Prob. 13ECh. 5.5 - Prob. 14ECh. 5.5 - Prob. 15ECh. 5.5 - Prob. 16ECh. 5.5 - Find each product. 6x3(16x2+9x4)Ch. 5.5 - Find each product. 5x4(2x3+8x21)Ch. 5.5 - Prob. 19ECh. 5.5 - Prob. 20ECh. 5.5 - Prob. 21ECh. 5.5 - Prob. 22ECh. 5.5 - Prob. 23ECh. 5.5 - Prob. 24ECh. 5.5 - Prob. 25ECh. 5.5 - Prob. 26ECh. 5.5 - Prob. 27ECh. 5.5 - Prob. 28ECh. 5.5 - Prob. 29ECh. 5.5 - Prob. 30ECh. 5.5 - Prob. 31ECh. 5.5 - Prob. 32ECh. 5.5 - Prob. 33ECh. 5.5 - Prob. 34ECh. 5.5 - Prob. 35ECh. 5.5 - Prob. 36ECh. 5.5 - Find each product. (x+1)(x+6)Ch. 5.5 - Prob. 38ECh. 5.5 - Prob. 39ECh. 5.5 - Prob. 40ECh. 5.5 - Prob. 41ECh. 5.5 - Prob. 42ECh. 5.5 - Prob. 43ECh. 5.5 - Prob. 44ECh. 5.5 - Find each product. (6a+4)(2a3)Ch. 5.5 - Prob. 46ECh. 5.5 - Prob. 47ECh. 5.5 - Prob. 48ECh. 5.5 - Prob. 49ECh. 5.5 - Prob. 50ECh. 5.5 - Prob. 51ECh. 5.5 - Prob. 52ECh. 5.5 - Prob. 53ECh. 5.5 - Prob. 54ECh. 5.5 - Prob. 55ECh. 5.5 - Prob. 56ECh. 5.5 - Prob. 57ECh. 5.5 - Prob. 58ECh. 5.5 - Prob. 59ECh. 5.5 - Prob. 60ECh. 5.5 - Prob. 61ECh. 5.5 - Prob. 62ECh. 5.5 - Find each product. (g+h6)(gh+3)Ch. 5.5 - Find each product. (2x3y+4)(4x5y2)Ch. 5.5 - Find each product. (8xx3+2x41)(x2+2+5x3)Ch. 5.5 - Prob. 66ECh. 5.6 - Divide: 9x53x3Ch. 5.6 - Prob. 2ECh. 5.6 - Divide: 18x1212x4Ch. 5.6 - Prob. 4ECh. 5.6 - Prob. 5ECh. 5.6 - Prob. 6ECh. 5.6 - Divide: 8x212xCh. 5.6 - Prob. 8ECh. 5.6 - Prob. 9ECh. 5.6 - Prob. 10ECh. 5.6 - Prob. 11ECh. 5.6 - Prob. 12ECh. 5.6 - Prob. 13ECh. 5.6 - Prob. 14ECh. 5.6 - Prob. 15ECh. 5.6 - Prob. 16ECh. 5.6 - Divide: 0(113w2r3)Ch. 5.6 - Prob. 18ECh. 5.6 - Prob. 19ECh. 5.6 - Divide: (42x2y3)(14x2y4)Ch. 5.6 - Prob. 21ECh. 5.6 - Prob. 22ECh. 5.6 - Prob. 23ECh. 5.6 - Prob. 24ECh. 5.6 - Divide: 92x3y28xy3Ch. 5.6 - Prob. 26ECh. 5.6 - Prob. 27ECh. 5.6 - Prob. 28ECh. 5.6 - Prob. 29ECh. 5.6 - Prob. 30ECh. 5.6 - Prob. 31ECh. 5.6 - Prob. 32ECh. 5.6 - Prob. 33ECh. 5.6 - Prob. 34ECh. 5.6 - Prob. 35ECh. 5.6 - Prob. 36ECh. 5.6 - Divide: 24a416a28a8Ch. 5.6 - Prob. 38ECh. 5.6 - Prob. 39ECh. 5.6 - Prob. 40ECh. 5.6 - Divide: bx4bx3+bx24bxbxCh. 5.6 - Prob. 42ECh. 5.6 - Prob. 43ECh. 5.6 - Prob. 44ECh. 5.6 - Divide: 224x4y2z3168x3y2z4112xy4z228xy2z2Ch. 5.6 - Prob. 46ECh. 5.6 - Prob. 47ECh. 5.6 - Divide: 3a2b+4a2b26ab22ab2Ch. 5.6 - Prob. 49ECh. 5.6 - Divide: 18w4r4+27w3r336w2r29w3r3Ch. 5.7 - Find each quotient and check: (x2+3x+2)(x+1)Ch. 5.7 - Prob. 2ECh. 5.7 - Prob. 3ECh. 5.7 - Prob. 4ECh. 5.7 - Prob. 5ECh. 5.7 - Prob. 6ECh. 5.7 - Find each quotient and check: 2y2+3y52y1Ch. 5.7 - Prob. 8ECh. 5.7 - Prob. 9ECh. 5.7 - Prob. 10ECh. 5.7 - Prob. 11ECh. 5.7 - Find each quotient and check: (8x318x2+7x+3)(x1)Ch. 5.7 - Find each quotient and check:...Ch. 5.7 - Prob. 14ECh. 5.7 - Find each quotient and check: 2x314x12x+1Ch. 5.7 - Prob. 16ECh. 5.7 - Prob. 17ECh. 5.7 - Prob. 18ECh. 5.7 - Prob. 19ECh. 5.7 - Find each quotient and check: 2x3+3x29x+5x+3Ch. 5.7 - Prob. 21ECh. 5.7 - Prob. 22ECh. 5.7 - Prob. 23ECh. 5.7 - Prob. 24ECh. 5.7 - Find each quotient and check: 8x312x+1Ch. 5.7 - Prob. 26ECh. 5.7 - Prob. 27ECh. 5.7 - Prob. 28ECh. 5.7 - Prob. 29ECh. 5.7 - Find each quotient and check:...Ch. 5 - Prob. 1RCh. 5 - Prob. 2RCh. 5 - For any number a expect 0, a,a1a=?Ch. 5 - Evaluate: 104(3)Ch. 5 - Evaluate: 2+342Ch. 5 - Evaluate: (4)(12)623+1832Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 7-12, let x=3andy=2 . Evaluate each...Ch. 5 - In Exercises 13-16, simplify by removing the...Ch. 5 - In Exercises 13-16, simplify by removing the...Ch. 5 - In Exercises 13-16, simplify by removing the...Ch. 5 - In Exercises 13-16, simplify by removing the...Ch. 5 - Prob. 17RCh. 5 - Prob. 18RCh. 5 - Perform the indicated operation:...Ch. 5 - Perform the indicated operation:...Ch. 5 - Perform the indicated operation:...Ch. 5 - Perform the indicated operation: (6x2)(4x3)Ch. 5 - Perform the indicated operation: (7x2y)(8x3y2)Ch. 5 - Prob. 24RCh. 5 - Perform the indicated operation: 5a(3a+4b)Ch. 5 - Prob. 26RCh. 5 - Perform the indicated operation: (5x+3)(3x4)Ch. 5 - Prob. 28RCh. 5 - Perform the indicated operation: (49x2)(7x3)Ch. 5 - Prob. 30RCh. 5 - Perform the indicated operation: 36a327a2+9a9aCh. 5 - Perform the indicated operation: 6x2+x122x+3Ch. 5 - Perform the indicated operation: 3x3+2x26x+4x+2Ch. 5 - Evaluate: 35242Ch. 5 - Evaluate: 12232+331622Ch. 5 - Prob. 3TCh. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify: Add:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...Ch. 5 - Perform the indicated operation and simplify:...
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