Exponents and logarithms Study guides, Study notes & Summaries
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Sophia College Algebra MM212 Final Milestone 20/25 that's 80%
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Sophia College Algebra MM212 Final Milestone 20/25 that's 80% 
20 questions were answered correctly. 5 questions were answered incorrectly. 1 
 
Geri runs a total of 3.1 miles in a cross-country race. 
 
How many feet is this equivalent to? 
 
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5,280 feet 
 
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16,368 feet 
 
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4,989 feet 
 
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15,840 feet 
 
RATIONALE 
In general, we use conversion factors to convert from one unit to another. A conversion factor is a fraction with equal quantities in the numerator and denomi...
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UC DAVIS ; MATH PLACEMENT WITH COMPLETE SOLUTIONS LATEST VERSION] UPDATED | 2024
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UC DAVIS ; MATH PLACEMENT WITH COMPLETE SOLUTIONS LATEST VERSION] UPDATED | 2024 
 
 
 
 
 
 
properties of exponents	- whole number exponents: b^n = b • b • b... (n times) 
- zero exponent: b^0 = 1; b ≠ 0 
- negative exponents: b^-n = 1/(b^n); b ≠ 0 
- rational exponents (nth root): ^n√(b) = 1/(b^n); n ≠ 0, and if n is even, then b ≥ 0 
- rational exponents: ^n√(b^m) = ^n√(b)^m = (b^(1/n))^m = b^(m/n); n ≠ 0, and if n is even, then b ≥ 0 
operations with exponents	- multi...
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Solutions Manual for College Algebra, 8th Edition by James Stewart
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Complete Solutions Manual for College Algebra, 8th Edition 8e by James Stewart, Lothar Redlin, Saleem Watson. Full Chapters Solutions are included - Chapter 1 to 9 
 
P. PREREQUISITES. 
Chapter Overview P.1 Modeling the Real-World with Algebra. P.2 The Real Numbers. P.3 Integer Exponents and Scientific Notation. P.4 Rational Exponents and Radicals. P.5 Algebraic Expressions. P.6 Factoring. P.7 Rational Expressions. P.8 Solving Basic Equations. P.9 Modeling with Equations. Chapter P Review. Cha...
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Test Bank for Basic Technical Mathematics with Calculus, 12th edition by Allyn J. Washington
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Test Bank for Basic Technical Mathematics with Calculus, 12e 12th edition by Allyn J. Washington, Richard Evans. 
 
Full Chapters test bank included - Answers are given at the end of every chapter. 
 
Basic Algebraic Operations 
1.1 Numbers 
1.2 Fundamental Operations of Algebra1.3 Calculators and Approximate Numbers 
1.4 Exponents and Unit Conversions 
1.5 Scientific Notation 
1.6 Roots and Radicals 
1.7 Addition and Subtraction of Algebraic Expressions 
1.8 Multiplication of Algebraic Expressi...
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Solutions for Algebra and Trigonometry, 5th Edition by James Stewart
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Complete Solutions Manual for Algebra and Trigonometry 5e 5th Edition by James Stewart, Lothar Redlin, Saleem Watso. Full Chapters Solutions are included - Chapter 1 to 13 
 
P. PREREQUISITES. 
Chapter Overview. P1. Modeling the Real-World with Algebra. P2. The Real Numbers. P3. Integer Exponents and Scientific Notation. P4. Rational Exponents and Radicals. P5. Algebraic Expressions. P6. Factoring. P7. Rational Expressions. P8. Solving Basic Equations. P9. Modeling with Equations. Chapter P Revi...
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Sophia college algebra milestone 5 Exam
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CONCEPT 
Graph of an Exponential Equation 
2 
Find the solution to the following equation. 
1/4/2021 
9/24 
Sophia college algebra milestone 5 Exam 
Sophia college algebra milestone 5 Exam 
10/24 
Sophia college algebra milestone 5 Exam 
Sophia college algebra milestone 5 Exam 
RATIONALE 
To solve this equation, first re-write the term on the right side so that both terms have a common 
base. Since is a power of , we can re-write as . 
The two terms now have the same base, . Use the properties o...
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Navy OAR exam 2023 with 100% correct answers
- Exam (elaborations) • 8 pages • 2023
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- R304,23
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Length of an Arc 
Length = radius x theta 
Theta = degrees of arc in radians 
 
 
 
Convert Degrees to Radians 
1 degree = pi/180 
 
 
 
Unit Circle 
 
 
 
Independent Events 
Two events are said to be independent if P(A and B) = P(A) x P(B) 
 
 
 
Conditional Probability of Independent Events 
P(A|B) = P(A and B) / P(B) 
 
 
 
Convert Logarithms to Exponents 
Log₍₊₎ • x = y 
b^y = x 
 
 
 
Exponent Log Rules 
(X^a)^b = x^ (a•b) 
b^(log₍₊₎ • x) = x 
 
 
 
Perfect Numbers 
6, 28...
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SOPHIA COLLEGE ALGEBRA MILESTONE 5 – ALL ANSWERS !!!
- Exam (elaborations) • 47 pages • 2024
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SOPHIA COLLEGE ALGEBRA MILESTONE 5 – ALL ANSWERS !!! 
 
 
You passed this Milestone 
21 questions were answered correctly. 1 question was answered incorrectly. 
1 
 
Consider the function . 
What are the domain and range of this function? 
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• 
 correct 
 
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RATIONALE 
 
 	A Square root function has the domain restriction that the radicand (the value underneath the radical) cannot be negative. To find the specific domain, construct an inequality showing that th...
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Act Math Test Practice 40 Questions with Verified Answers,100% CORRECT
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Act Math Test Practice 40 Questions with Verified Answers 
 
Integrating Essential Skills, Ratios, Proportions, and Percent 
 
On a map, 1/2 inch represents 16 miles. How Many miles long is a road that is 4-3/4 inches on the map? 
A 
76 
B 
112 
C 
128 
D 
139 
E 
152 - CORRECT ANSWER 0.5/16 = 4.75/x (Cross Multiply to find X) -----> x = 152 Miles (E) 
 
Integrating Essential Skills, Ratios, Proportions, and Percent 
 
If -4 ≤ x < 2 and x is an integer, how many different values can x ha...
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ALEKS Math Placement Exam Study Guide 2024 with complete solution
- Exam (elaborations) • 2 pages • 2024
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ALEKS Math Placement Exam Study Guide 2024 with complete solution 
 
 
Positive Number 
Any number greater than zero 
Negative Number 
Any number less than zero 
Whole Number 
Any "counting number" or zero 
Integer 
The whole numbers and their opposites 
Even Number 
Any integer divisible by 2 
Odd Number 
Any integer not divisible by 2 
Sum 
The result of two numbers being added 
Difference 
The result of one number being subtracted by another 
Product 
The result of two numbers being multipl...
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