Exponents and logarithms Study guides, Study notes & Summaries
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![Navy OAR exam 2023 with 100% correct answers](/docpics/3160481/64c7a4a855a11_3160481_121_171.jpeg)
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Navy OAR exam 2023 with 100% correct answers
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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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UNIT 5 — MILESTONE 5 with RATIONALE
- Exam (elaborations) • 28 pages • 2023
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- R160,11
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Susan monitors the number of strep infections reported in a certain neighborhood in a given week. The recent 
numbers are shown in this table: 
Week Number of People 
0 20 
1 26 
2 34 
3 44 
According to her reports, the reported infections are growing at a rate of 30%. 
If the number of infections continues to grow exponentially, what will the number of infections be in week 
10? 
203 people 
206 people 
276 people 
297 people3/2/2021 Sophia :: Welcome 

RATIONALE 
In general, exponential growt...
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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
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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...
![College Algebra CLEP Exam questions and answers 100% correct](/docpics/644a5bd944444_2662049.jpg)
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College Algebra CLEP Exam questions and answers 100% correct
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College Algebra CLEP Exam questions and answers 100% correct 
The Quadratic Formula 
 
 
 
Same base, different exponents 
add exponents 
 
 
 
Different base, same exponent 
multiply bases together 
 
 
 
y=logₙ(x) --> 
x=n^y 
 
 
 
Properties of Logarithms 
logₙ(xy) = ? 
logₙ(x) + logₙ(y) 
 
 
 
Properties of Logarithms 
logₙ(x/y) = ? 
logₙ(x) - logₙ(y) 
 
 
 
Properties of Logarithms 
logₙ(x^y) = ? 
ylogₙ(x) 
 
 
 
Properties of Logarithms 
logₙ(1) = ? 
0 
 
 
 
logₙ(...
![OnRamps- FURTHER ALGEBRA – A BRIDGE TO ABSTRACTION A COLLEGE ALGEBRA COURSE CONTAINING ALGEBRA II 2021-2022. Entire Text. PlusQuestions and Worked Solutions.](/docpics/64501beb598a0_2681507.jpg)
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OnRamps- FURTHER ALGEBRA – A BRIDGE TO ABSTRACTION A COLLEGE ALGEBRA COURSE CONTAINING ALGEBRA II 2021-2022. Entire Text. PlusQuestions and Worked Solutions.
- Exam (elaborations) • 206 pages • 2023
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OnRamps- FURTHER ALGEBRA – A BRIDGE TO ABSTRACTION A COLLEGE ALGEBRA COURSE CONTAINING ALGEBRA II 2021-2022. Entire Text. PlusQuestions and Worked Solutions. 1 Essential Prerequisites 1 1.1 Prerequ isites . 1 1.2 Thinking Like a Mathematician . . 7 1.3 Prerequisite Topics Review . . 7 2 Functions 13 2.1 Functions 13 2.2 Linear and Absolute Value Functions . 18 2.3 Composition of Functions . . 28 2.4 A Function Recursive Process 30 2.5 Function Transformations . . 31 2.6 Inverse of a Function ....
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Sophia College Algebra MM212 Final Milestone
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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? 
 
• 
 
5,280 feet 
 
• 
 
16,368 feet 
 
• 
 
4,989 feet 
 
• 
 
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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ALEKS Math Placemen Exam with verified solutions 2024
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ositive 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 multiplied 
 
 
 
Quotient 
The...
![ALEKS Math Placement Exam 100% Correct](/docpics/3438649/6503893bec0b0_3438649_121_171.jpeg)
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ALEKS Math Placement Exam 100% Correct
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ALEKS Math Placement Exam 100% Correct 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 multiplied 
Quotient The result of one number be...
![MCAT GENERAL CHEMISTRY CONTENTS REVIEW](/docpics/635793505d73f_2054524.jpg)
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MCAT GENERAL CHEMISTRY CONTENTS REVIEW
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MCAT GENERAL CHEMISTRY CONTENTS 
Cover 
Title Page 
Copyright 
…So Much More Online! 
CHAPTER 1: MCAT 2015 BASICS 
CHAPTER 2: GENERAL CHEMISTRY STRATEGY FOR THE MCAT 
2.1 Science Sections Overview 
2.2 General Science Passage Types 
2.3 General Science Question Types 
2.4 General Chemistry on the MCAT 
2.5 Passage Types as They Apply to General Chemistry 
2.6 Tackling the Questions 
2.7 Summary of the Approach to General Chemistry 
CHAPTER 3: CHEMISTRY FUNDAMENTALS 
3.1 Metric Units 
3.2 Densi...
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