Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter 5.2, Problem 63E
Simplify by first removing the parentheses and then combining the like terms:
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Chapter 5 Test Form A
of 2
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ZOOM
+ |
Find any real numbers for which each expression is undefined.
2x 4
1.
x
Name:
Date:
1.
3.x-5
2.
2.
x²+x-12
4x-24
3. Evaluate
when x=-3.
3.
x
Simplify each rational expression.
x²-3x
4.
2x-6
5.
x²+3x-18
x²-9
6. Write an equivalent rational expression with the given
denominator.
2x-3
x²+2x+1(x+1)(x+2)
Perform the indicated operation and simplify if possible.
x²-16 x-3
7.
3x-9 x²+2x-8
x²+9x+20 5x+25
8.
4.x
2x²
9.
x-5 x-5
3
5
10.
4x-3
8x-6
2
3
11.
x-4 x+4
x
12.
x-2x-8 x²-4
←
->
Copyright ©2020 Pearson Education, Inc.
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5
4.
5.
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8.
9.
10.
11.
12.
T-97
please work out more details give the solution.
Problem #5
Suppose you flip a two sided fair coin ("heads" or "tails") 8 total times.
a). How many ways result in 6 tails and 2 heads?
b). How many ways result in 2 tails and 6 heads?
c). Compare your answers to part (a) and (b) and explain in a few sentences why the
comparison makes sense.
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 - Evaluate each expression when x=4andy=1. 4x23y3Ch. 5 - Evaluate each expression when x=4andy=1. 2x2y4x2yCh. 5 - Is 4+3x5x2 a monomial, a binomial, or a trinomial?...Ch. 5 - Rearrange the polynomial 3+4x25x3x in decreasing...Ch. 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:...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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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Limits and Continuity; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=9brk313DjV8;License: Standard YouTube License, CC-BY