High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
15th Edition
ISBN: 9780133281149
Author: Prentice Hall
Publisher: Prentice Hall
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Concept explainers

Maximization
Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.
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Question
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Chapter 1.8, Problem 64PPE
To determine

The solution of the equation 12t=−132 , and check the solution.

Expert Solution & Answer
Check Mark

Answer to Problem 64PPE

  t=−11

Explanation of Solution

Given:

The equation, 12t=−132 .

Concept Used:

  • To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
  • To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
  • To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
  • To get rid of a number in division from one side, multiply the same number both sides of equal sign.

Rules of Addition/ Subtraction:

  • Two numbers with similar sign always get added and the resulting number will carry the similar sign.
  • Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

  • The product/quotient of two similar sign numbers is always positive.
  • The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to solve the given equation 12t=−132 for the unknown variable, isolate the variable term t on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.

Here to isolate t on left side, first divide both sides by 12 to get rid of it from left side and then simplify further as shown below,

  12t=−13212t12=−13212t=−11

Thus, the solution of the given equation is t=−11 .

Now, to check the solution, substitute

  t=−11 in the given equation and check whether the values on both sides of equal sign is same or no. So, it gives

  12t=−13212(−11)=−132−132=−132 True Statement

Since, the left hand side and right hand side are equal, so the solution is correct.

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Chapter 1.8, Problem 63PPE
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Chapter 1.8, Problem 65PPE

Chapter 1 Solutions

High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9

Ch. 1.1 - Prob. 1PCh. 1.1 - Prob. 2PCh. 1.1 - Prob. 3PCh. 1.1 - Prob. 4PCh. 1.1 - Prob. 5PCh. 1.1 - Prob. 1LCCh. 1.1 - Prob. 2LCCh. 1.1 - Prob. 3LCCh. 1.1 - Prob. 4LCCh. 1.1 - Prob. 5LC
Ch. 1.1 - Prob. 6LCCh. 1.1 - Prob. 7LCCh. 1.1 - Prob. 8LCCh. 1.1 - Prob. 9PPECh. 1.1 - Prob. 10PPECh. 1.1 - Prob. 11PPECh. 1.1 - Prob. 12PPECh. 1.1 - Prob. 13PPECh. 1.1 - Prob. 14PPECh. 1.1 - Prob. 15PPECh. 1.1 - Prob. 16PPECh. 1.1 - Prob. 17PPECh. 1.1 - Prob. 18PPECh. 1.1 - Prob. 19PPECh. 1.1 - Prob. 20PPECh. 1.1 - Prob. 21PPECh. 1.1 - Prob. 22PPECh. 1.1 - Prob. 23PPECh. 1.1 - Prob. 24PPECh. 1.1 - Prob. 25PPECh. 1.1 - Prob. 26PPECh. 1.1 - Prob. 27PPECh. 1.1 - Prob. 28PPECh. 1.1 - Prob. 29PPECh. 1.1 - Prob. 30PPECh. 1.1 - Prob. 31PPECh. 1.1 - Prob. 32PPECh. 1.1 - Prob. 33PPECh. 1.1 - Prob. 34PPECh. 1.1 - Prob. 35PPECh. 1.1 - Prob. 36PPECh. 1.1 - Prob. 37PPECh. 1.1 - Prob. 38PPECh. 1.1 - Prob. 39PPECh. 1.1 - Prob. 40PPECh. 1.1 - Prob. 41PPECh. 1.1 - Prob. 1MPCh. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - Prob. 1LCCh. 1.2 - Prob. 2LCCh. 1.2 - Prob. 3LCCh. 1.2 - Prob. 4LCCh. 1.2 - Prob. 5LCCh. 1.2 - Prob. 6LCCh. 1.2 - Prob. 7LCCh. 1.2 - Prob. 8LCCh. 1.2 - Prob. 9PPECh. 1.2 - Prob. 10PPECh. 1.2 - Prob. 11PPECh. 1.2 - Prob. 12PPECh. 1.2 - Prob. 13PPECh. 1.2 - Prob. 14PPECh. 1.2 - Prob. 15PPECh. 1.2 - Prob. 16PPECh. 1.2 - Prob. 17PPECh. 1.2 - Prob. 18PPECh. 1.2 - Prob. 19PPECh. 1.2 - Prob. 20PPECh. 1.2 - Prob. 21PPECh. 1.2 - Prob. 22PPECh. 1.2 - Prob. 23PPECh. 1.2 - Prob. 24PPECh. 1.2 - Prob. 25PPECh. 1.2 - Prob. 26PPECh. 1.2 - Prob. 27PPECh. 1.2 - Prob. 28PPECh. 1.2 - Prob. 29PPECh. 1.2 - Prob. 30PPECh. 1.2 - Prob. 31PPECh. 1.2 - Prob. 32PPECh. 1.2 - Prob. 33PPECh. 1.2 - Prob. 34PPECh. 1.2 - Prob. 35PPECh. 1.2 - Prob. 36PPECh. 1.2 - Prob. 37PPECh. 1.2 - Prob. 38PPECh. 1.2 - Prob. 39PPECh. 1.2 - Prob. 40PPECh. 1.2 - Prob. 41PPECh. 1.2 - Prob. 42PPECh. 1.2 - Prob. 43PPECh. 1.2 - Prob. 44PPECh. 1.2 - Prob. 45PPECh. 1.2 - Prob. 46PPECh. 1.2 - Prob. 47PPECh. 1.2 - Prob. 48PPECh. 1.2 - Prob. 49PPECh. 1.2 - Prob. 50PPECh. 1.2 - Prob. 51PPECh. 1.2 - Prob. 52PPECh. 1.2 - Prob. 53PPECh. 1.2 - Prob. 54PPECh. 1.2 - Prob. 55PPECh. 1.2 - Prob. 56PPECh. 1.2 - Prob. 57PPECh. 1.2 - Prob. 58PPECh. 1.2 - Prob. 59PPECh. 1.2 - Prob. 60PPECh. 1.2 - Prob. 61STPCh. 1.2 - Prob. 62STPCh. 1.2 - Prob. 63STPCh. 1.2 - Prob. 64STPCh. 1.2 - Prob. 65MRCh. 1.2 - Prob. 66MRCh. 1.2 - Prob. 67MRCh. 1.2 - Prob. 68MRCh. 1.2 - Prob. 69MRCh. 1.2 - Prob. 70MRCh. 1.2 - Prob. 71MRCh. 1.2 - Prob. 72MRCh. 1.2 - Prob. 73MRCh. 1.2 - Prob. 74MRCh. 1.2 - Prob. 75MRCh. 1.2 - Prob. 76MRCh. 1.2 - Prob. 77MRCh. 1.2 - Prob. 78MRCh. 1.2 - Prob. 79MRCh. 1.2 - Prob. 80MRCh. 1.3 - Prob. 1PCh. 1.3 - Prob. 2PCh. 1.3 - Prob. 3PCh. 1.3 - Prob. 4PCh. 1.3 - Prob. 5PCh. 1.3 - Prob. 1LCCh. 1.3 - Prob. 2LCCh. 1.3 - Prob. 3LCCh. 1.3 - Prob. 4LCCh. 1.3 - Prob. 5LCCh. 1.3 - Prob. 6LCCh. 1.3 - Prob. 7LCCh. 1.3 - Prob. 8LCCh. 1.3 - Prob. 9PPECh. 1.3 - Prob. 10PPECh. 1.3 - Prob. 11PPECh. 1.3 - Prob. 12PPECh. 1.3 - Prob. 13PPECh. 1.3 - Prob. 14PPECh. 1.3 - Prob. 15PPECh. 1.3 - Prob. 16PPECh. 1.3 - Prob. 17PPECh. 1.3 - Prob. 18PPECh. 1.3 - Prob. 19PPECh. 1.3 - Prob. 20PPECh. 1.3 - Prob. 21PPECh. 1.3 - Prob. 22PPECh. 1.3 - Prob. 23PPECh. 1.3 - Prob. 24PPECh. 1.3 - Prob. 25PPECh. 1.3 - Prob. 26PPECh. 1.3 - Prob. 27PPECh. 1.3 - Prob. 28PPECh. 1.3 - Prob. 29PPECh. 1.3 - Prob. 30PPECh. 1.3 - Prob. 31PPECh. 1.3 - Prob. 32PPECh. 1.3 - Prob. 33PPECh. 1.3 - Prob. 34PPECh. 1.3 - Prob. 35PPECh. 1.3 - Prob. 36PPECh. 1.3 - Prob. 37PPECh. 1.3 - Prob. 38PPECh. 1.3 - Prob. 39PPECh. 1.3 - Prob. 40PPECh. 1.3 - Prob. 41PPECh. 1.3 - Prob. 42PPECh. 1.3 - Prob. 43PPECh. 1.3 - Prob. 44PPECh. 1.3 - Prob. 45PPECh. 1.3 - Prob. 46PPECh. 1.3 - Prob. 47PPECh. 1.3 - Prob. 48PPECh. 1.3 - Prob. 49PPECh. 1.3 - Prob. 50PPECh. 1.3 - Prob. 51PPECh. 1.3 - Prob. 52PPECh. 1.3 - Prob. 53PPECh. 1.3 - Prob. 54PPECh. 1.3 - Prob. 55PPECh. 1.3 - Prob. 56PPECh. 1.3 - Prob. 57PPECh. 1.3 - Prob. 58PPECh. 1.3 - Prob. 59PPECh. 1.3 - Prob. 60PPECh. 1.3 - Prob. 61PPECh. 1.3 - Prob. 62PPECh. 1.3 - Prob. 63PPECh. 1.3 - Prob. 64PPECh. 1.3 - Prob. 65PPECh. 1.3 - Prob. 66PPECh. 1.3 - Prob. 67PPECh. 1.3 - Prob. 68PPECh. 1.3 - Prob. 69PPECh. 1.3 - Prob. 70PPECh. 1.3 - Prob. 71PPECh. 1.3 - Prob. 72STPCh. 1.3 - Prob. 73STPCh. 1.3 - Prob. 74STPCh. 1.3 - Prob. 75MRCh. 1.3 - Prob. 76MRCh. 1.3 - Prob. 77MRCh. 1.3 - Prob. 78MRCh. 1.3 - Prob. 79MRCh. 1.3 - Prob. 80MRCh. 1.3 - Prob. 81MRCh. 1.3 - Prob. 82MRCh. 1.3 - Prob. 83MRCh. 1.3 - Prob. 84MRCh. 1.3 - Prob. 85MRCh. 1.4 - Prob. 1PCh. 1.4 - Prob. 2PCh. 1.4 - Prob. 3PCh. 1.4 - Prob. 4PCh. 1.4 - Prob. 1LCCh. 1.4 - Prob. 2LCCh. 1.4 - Prob. 3LCCh. 1.4 - Prob. 4LCCh. 1.4 - Prob. 5LCCh. 1.4 - Prob. 6LCCh. 1.4 - Prob. 7PPECh. 1.4 - Prob. 8PPECh. 1.4 - Prob. 9PPECh. 1.4 - Prob. 10PPECh. 1.4 - Prob. 11PPECh. 1.4 - Prob. 12PPECh. 1.4 - Prob. 13PPECh. 1.4 - Prob. 14PPECh. 1.4 - Prob. 15PPECh. 1.4 - Prob. 16PPECh. 1.4 - Prob. 17PPECh. 1.4 - Prob. 18PPECh. 1.4 - Prob. 19PPECh. 1.4 - Prob. 20PPECh. 1.4 - Prob. 21PPECh. 1.4 - Prob. 22PPECh. 1.4 - Prob. 23PPECh. 1.4 - Prob. 24PPECh. 1.4 - Prob. 25PPECh. 1.4 - Prob. 26PPECh. 1.4 - Prob. 27PPECh. 1.4 - Prob. 28PPECh. 1.4 - Prob. 29PPECh. 1.4 - Prob. 30PPECh. 1.4 - Prob. 31PPECh. 1.4 - Prob. 32PPECh. 1.4 - Prob. 33PPECh. 1.4 - Prob. 34PPECh. 1.4 - Prob. 35PPECh. 1.4 - Prob. 36PPECh. 1.4 - Prob. 37PPECh. 1.4 - Prob. 38PPECh. 1.4 - Prob. 39PPECh. 1.4 - Prob. 40PPECh. 1.4 - Prob. 41PPECh. 1.4 - Prob. 42PPECh. 1.4 - Prob. 43PPECh. 1.4 - Prob. 44PPECh. 1.4 - Prob. 45PPECh. 1.4 - Prob. 46PPECh. 1.4 - Prob. 47PPECh. 1.4 - Prob. 48PPECh. 1.4 - Prob. 49PPECh. 1.4 - Prob. 50PPECh. 1.4 - Prob. 51PPECh. 1.4 - Prob. 52PPECh. 1.4 - Prob. 53PPECh. 1.4 - Prob. 54PPECh. 1.4 - Prob. 55PPECh. 1.4 - Prob. 56PPECh. 1.4 - Prob. 57PPECh. 1.4 - Prob. 58STPCh. 1.4 - Prob. 59STPCh. 1.4 - Prob. 60STPCh. 1.4 - Prob. 61STPCh. 1.4 - Prob. 62RECh. 1.4 - Prob. 63RECh. 1.4 - Prob. 64RECh. 1.4 - Prob. 65RECh. 1.4 - Prob. 66RECh. 1.4 - Prob. 67RECh. 1.4 - Prob. 68RECh. 1.4 - Prob. 1MCQCh. 1.4 - Prob. 2MCQCh. 1.4 - Prob. 3MCQCh. 1.4 - Prob. 4MCQCh. 1.4 - Prob. 5MCQCh. 1.4 - Prob. 6MCQCh. 1.4 - Prob. 7MCQCh. 1.4 - Prob. 8MCQCh. 1.4 - Prob. 9MCQCh. 1.4 - Prob. 10MCQCh. 1.4 - Prob. 11MCQCh. 1.4 - Prob. 12MCQCh. 1.4 - Prob. 13MCQCh. 1.4 - Prob. 14MCQCh. 1.4 - Prob. 15MCQCh. 1.4 - Prob. 16MCQCh. 1.4 - Prob. 17MCQCh. 1.4 - Prob. 18MCQCh. 1.4 - Prob. 19MCQCh. 1.5 - Prob. 1PCh. 1.5 - Prob. 2PCh. 1.5 - Prob. 3PCh. 1.5 - Prob. 4PCh. 1.5 - Prob. 1LCCh. 1.5 - Prob. 2LCCh. 1.5 - Prob. 3LCCh. 1.5 - Prob. 4LCCh. 1.5 - Prob. 5LCCh. 1.5 - Prob. 6LCCh. 1.5 - Prob. 7LCCh. 1.5 - Prob. 8LCCh. 1.5 - Prob. 9LCCh. 1.5 - Prob. 10PPECh. 1.5 - Prob. 11PPECh. 1.5 - Prob. 12PPECh. 1.5 - Prob. 13PPECh. 1.5 - Prob. 14PPECh. 1.5 - Prob. 15PPECh. 1.5 - Prob. 16PPECh. 1.5 - Prob. 17PPECh. 1.5 - Prob. 18PPECh. 1.5 - Prob. 19PPECh. 1.5 - Prob. 20PPECh. 1.5 - Prob. 21PPECh. 1.5 - Prob. 22PPECh. 1.5 - Prob. 23PPECh. 1.5 - Prob. 24PPECh. 1.5 - Prob. 25PPECh. 1.5 - Prob. 26PPECh. 1.5 - Prob. 27PPECh. 1.5 - Prob. 28PPECh. 1.5 - Prob. 29PPECh. 1.5 - Prob. 30PPECh. 1.5 - Prob. 31PPECh. 1.5 - Prob. 32PPECh. 1.5 - Prob. 33PPECh. 1.5 - Prob. 34PPECh. 1.5 - Prob. 35PPECh. 1.5 - Prob. 36PPECh. 1.5 - Prob. 37PPECh. 1.5 - Prob. 38PPECh. 1.5 - Prob. 39PPECh. 1.5 - Prob. 40PPECh. 1.5 - Prob. 41PPECh. 1.5 - Prob. 42PPECh. 1.5 - Prob. 43PPECh. 1.5 - Prob. 44PPECh. 1.5 - Prob. 45PPECh. 1.5 - Prob. 46PPECh. 1.5 - Prob. 47PPECh. 1.5 - Prob. 48PPECh. 1.5 - Prob. 49PPECh. 1.5 - Prob. 50PPECh. 1.5 - Prob. 51PPECh. 1.5 - Prob. 52PPECh. 1.5 - Prob. 53PPECh. 1.5 - Prob. 54PPECh. 1.5 - Prob. 55PPECh. 1.5 - Prob. 56PPECh. 1.5 - Prob. 57PPECh. 1.5 - Prob. 58PPECh. 1.5 - Prob. 59PPECh. 1.5 - Prob. 60PPECh. 1.5 - Prob. 61PPECh. 1.5 - Prob. 62PPECh. 1.5 - Prob. 63PPECh. 1.5 - Prob. 64PPECh. 1.5 - Prob. 65PPECh. 1.5 - Prob. 66PPECh. 1.5 - Prob. 67PPECh. 1.5 - Prob. 68PPECh. 1.5 - Prob. 69PPECh. 1.5 - Prob. 70STPCh. 1.5 - Prob. 71STPCh. 1.5 - Prob. 72STPCh. 1.5 - Prob. 73STPCh. 1.5 - Prob. 74STPCh. 1.5 - Prob. 75MRCh. 1.5 - Prob. 76MRCh. 1.5 - Prob. 77MRCh. 1.5 - Prob. 78MRCh. 1.5 - Prob. 79MRCh. 1.5 - Prob. 80MRCh. 1.5 - Prob. 81MRCh. 1.5 - Prob. 82MRCh. 1.5 - Prob. 83MRCh. 1.5 - Prob. 84MRCh. 1.5 - Prob. 85MRCh. 1.6 - Prob. 1PCh. 1.6 - Prob. 2PCh. 1.6 - Prob. 3PCh. 1.6 - Prob. 4PCh. 1.6 - Prob. 1LCCh. 1.6 - Prob. 2LCCh. 1.6 - Prob. 3LCCh. 1.6 - Prob. 4LCCh. 1.6 - Prob. 5LCCh. 1.6 - Prob. 6LCCh. 1.6 - Prob. 7LCCh. 1.6 - Prob. 8PPECh. 1.6 - Prob. 9PPECh. 1.6 - Prob. 10PPECh. 1.6 - Prob. 11PPECh. 1.6 - Prob. 12PPECh. 1.6 - Prob. 13PPECh. 1.6 - Prob. 14PPECh. 1.6 - Prob. 15PPECh. 1.6 - Prob. 16PPECh. 1.6 - Prob. 17PPECh. 1.6 - Prob. 18PPECh. 1.6 - Prob. 19PPECh. 1.6 - Prob. 20PPECh. 1.6 - Prob. 21PPECh. 1.6 - Prob. 22PPECh. 1.6 - Prob. 23PPECh. 1.6 - Prob. 24PPECh. 1.6 - Prob. 25PPECh. 1.6 - Prob. 26PPECh. 1.6 - Prob. 27PPECh. 1.6 - Prob. 28PPECh. 1.6 - Prob. 29PPECh. 1.6 - Prob. 30PPECh. 1.6 - Prob. 31PPECh. 1.6 - Prob. 32PPECh. 1.6 - Prob. 33PPECh. 1.6 - Prob. 34PPECh. 1.6 - Prob. 35PPECh. 1.6 - Prob. 36PPECh. 1.6 - Prob. 37PPECh. 1.6 - Prob. 38PPECh. 1.6 - Prob. 39PPECh. 1.6 - Prob. 40PPECh. 1.6 - Prob. 41PPECh. 1.6 - Prob. 42PPECh. 1.6 - Prob. 43PPECh. 1.6 - Prob. 44PPECh. 1.6 - Prob. 45PPECh. 1.6 - Prob. 46PPECh. 1.6 - Prob. 47PPECh. 1.6 - Prob. 48PPECh. 1.6 - Prob. 49PPECh. 1.6 - Prob. 50PPECh. 1.6 - Prob. 51PPECh. 1.6 - Prob. 52PPECh. 1.6 - Prob. 53PPECh. 1.6 - Prob. 54PPECh. 1.6 - Prob. 55PPECh. 1.6 - Prob. 56PPECh. 1.6 - Prob. 57PPECh. 1.6 - Prob. 58PPECh. 1.6 - Prob. 59PPECh. 1.6 - Prob. 60PPECh. 1.6 - Prob. 61PPECh. 1.6 - Prob. 62PPECh. 1.6 - Prob. 63PPECh. 1.6 - Prob. 64PPECh. 1.6 - Prob. 65PPECh. 1.6 - Prob. 66PPECh. 1.6 - Prob. 67PPECh. 1.6 - Prob. 68PPECh. 1.6 - Prob. 69PPECh. 1.6 - Prob. 70STPCh. 1.6 - Prob. 71STPCh. 1.6 - Prob. 72STPCh. 1.6 - Prob. 73MRCh. 1.6 - Prob. 74MRCh. 1.6 - Prob. 75MRCh. 1.6 - Prob. 76MRCh. 1.6 - Prob. 77MRCh. 1.6 - Prob. 78MRCh. 1.6 - Prob. 1CBCh. 1.6 - Prob. 2CBCh. 1.6 - Prob. 3CBCh. 1.6 - Prob. 4CBCh. 1.6 - Prob. 5CBCh. 1.6 - Prob. 6CBCh. 1.6 - Prob. 7CBCh. 1.6 - Prob. 8CBCh. 1.6 - Prob. 9CBCh. 1.6 - Prob. 10CBCh. 1.6 - Prob. 11CBCh. 1.6 - Prob. 12CBCh. 1.6 - Prob. 13CBCh. 1.6 - Prob. 14CBCh. 1.6 - Prob. 15CBCh. 1.6 - Prob. 16CBCh. 1.6 - Prob. 17CBCh. 1.6 - Prob. 18CBCh. 1.7 - Prob. 1PCh. 1.7 - Prob. 2PCh. 1.7 - Prob. 3PCh. 1.7 - Prob. 4PCh. 1.7 - Prob. 5PCh. 1.7 - Prob. 1LCCh. 1.7 - Prob. 2LCCh. 1.7 - Prob. 3LCCh. 1.7 - Prob. 4LCCh. 1.7 - Prob. 5LCCh. 1.7 - Prob. 6LCCh. 1.7 - Prob. 7LCCh. 1.7 - Prob. 8LCCh. 1.7 - Prob. 9PPECh. 1.7 - Prob. 10PPECh. 1.7 - Prob. 11PPECh. 1.7 - Prob. 12PPECh. 1.7 - Prob. 13PPECh. 1.7 - Prob. 14PPECh. 1.7 - Prob. 15PPECh. 1.7 - Prob. 16PPECh. 1.7 - Prob. 17PPECh. 1.7 - Prob. 18PPECh. 1.7 - Prob. 19PPECh. 1.7 - Prob. 20PPECh. 1.7 - Prob. 21PPECh. 1.7 - Prob. 22PPECh. 1.7 - Prob. 23PPECh. 1.7 - Prob. 24PPECh. 1.7 - Prob. 25PPECh. 1.7 - Prob. 26PPECh. 1.7 - Prob. 27PPECh. 1.7 - Prob. 28PPECh. 1.7 - Prob. 29PPECh. 1.7 - Prob. 30PPECh. 1.7 - Prob. 31PPECh. 1.7 - Prob. 32PPECh. 1.7 - Prob. 33PPECh. 1.7 - Prob. 34PPECh. 1.7 - Prob. 35PPECh. 1.7 - Prob. 36PPECh. 1.7 - Prob. 37PPECh. 1.7 - Prob. 38PPECh. 1.7 - Prob. 39PPECh. 1.7 - Prob. 40PPECh. 1.7 - Prob. 41PPECh. 1.7 - Prob. 42PPECh. 1.7 - Prob. 43PPECh. 1.7 - Prob. 44PPECh. 1.7 - Prob. 45PPECh. 1.7 - Prob. 46PPECh. 1.7 - Prob. 47PPECh. 1.7 - Prob. 48PPECh. 1.7 - Prob. 49PPECh. 1.7 - Prob. 50PPECh. 1.7 - Prob. 51PPECh. 1.7 - Prob. 52PPECh. 1.7 - Prob. 53PPECh. 1.7 - Prob. 54PPECh. 1.7 - Prob. 55PPECh. 1.7 - Prob. 56PPECh. 1.7 - Prob. 57PPECh. 1.7 - Prob. 58PPECh. 1.7 - Prob. 59PPECh. 1.7 - Prob. 60PPECh. 1.7 - Prob. 61PPECh. 1.7 - Prob. 62PPECh. 1.7 - Prob. 63PPECh. 1.7 - Prob. 64PPECh. 1.7 - Prob. 65PPECh. 1.7 - Prob. 66PPECh. 1.7 - Prob. 67PPECh. 1.7 - Prob. 68PPECh. 1.7 - Prob. 69PPECh. 1.7 - Prob. 70PPECh. 1.7 - Prob. 71PPECh. 1.7 - Prob. 72PPECh. 1.7 - Prob. 73PPECh. 1.7 - Prob. 74PPECh. 1.7 - Prob. 75PPECh. 1.7 - Prob. 76PPECh. 1.7 - Prob. 77PPECh. 1.7 - Prob. 78PPECh. 1.7 - Prob. 79PPECh. 1.7 - Prob. 80PPECh. 1.7 - Prob. 81PPECh. 1.7 - Prob. 82PPECh. 1.7 - Prob. 83PPECh. 1.7 - Prob. 84PPECh. 1.7 - Prob. 85PPECh. 1.7 - Prob. 86PPECh. 1.7 - Prob. 87PPECh. 1.7 - Prob. 88PPECh. 1.7 - Prob. 89PPECh. 1.7 - Prob. 90PPECh. 1.7 - Prob. 1MPCh. 1.8 - Prob. 1PCh. 1.8 - Prob. 2PCh. 1.8 - Prob. 3PCh. 1.8 - Prob. 4PCh. 1.8 - Prob. 5PCh. 1.8 - Prob. 6PCh. 1.8 - Prob. 1LCCh. 1.8 - Prob. 2LCCh. 1.8 - Prob. 3LCCh. 1.8 - Prob. 4LCCh. 1.8 - Prob. 5LCCh. 1.8 - Prob. 6LCCh. 1.8 - Prob. 7PPECh. 1.8 - Prob. 8PPECh. 1.8 - Prob. 9PPECh. 1.8 - Prob. 10PPECh. 1.8 - Prob. 11PPECh. 1.8 - Prob. 12PPECh. 1.8 - Prob. 13PPECh. 1.8 - Prob. 14PPECh. 1.8 - Prob. 15PPECh. 1.8 - Prob. 16PPECh. 1.8 - Prob. 17PPECh. 1.8 - Prob. 18PPECh. 1.8 - Prob. 19PPECh. 1.8 - Prob. 20PPECh. 1.8 - Prob. 21PPECh. 1.8 - Prob. 22PPECh. 1.8 - Prob. 23PPECh. 1.8 - Prob. 24PPECh. 1.8 - Prob. 25PPECh. 1.8 - Prob. 26PPECh. 1.8 - Prob. 27PPECh. 1.8 - Prob. 28PPECh. 1.8 - Prob. 29PPECh. 1.8 - Prob. 30PPECh. 1.8 - Prob. 31PPECh. 1.8 - Prob. 32PPECh. 1.8 - Prob. 33PPECh. 1.8 - Prob. 34PPECh. 1.8 - Prob. 35PPECh. 1.8 - Prob. 36PPECh. 1.8 - Prob. 37PPECh. 1.8 - Prob. 38PPECh. 1.8 - Prob. 39PPECh. 1.8 - Prob. 40PPECh. 1.8 - Prob. 41PPECh. 1.8 - Prob. 42PPECh. 1.8 - Prob. 43PPECh. 1.8 - Prob. 44PPECh. 1.8 - Prob. 45PPECh. 1.8 - Prob. 46PPECh. 1.8 - Prob. 47PPECh. 1.8 - Prob. 48PPECh. 1.8 - Prob. 49PPECh. 1.8 - Prob. 50PPECh. 1.8 - Prob. 51PPECh. 1.8 - Prob. 52PPECh. 1.8 - Prob. 53PPECh. 1.8 - Prob. 54PPECh. 1.8 - Prob. 55PPECh. 1.8 - Prob. 56PPECh. 1.8 - Prob. 57PPECh. 1.8 - Prob. 58PPECh. 1.8 - Prob. 59PPECh. 1.8 - Prob. 60PPECh. 1.8 - Prob. 61PPECh. 1.8 - Prob. 62PPECh. 1.8 - Prob. 63PPECh. 1.8 - Prob. 64PPECh. 1.8 - Prob. 65PPECh. 1.8 - Prob. 66PPECh. 1.8 - Prob. 1MPCh. 1.8 - Prob. 1CBCh. 1.8 - Prob. 2CBCh. 1.9 - Prob. 1RCh. 1.9 - Prob. 2RCh. 1.9 - Prob. 3RCh. 1.9 - Prob. 4RCh. 1.9 - Prob. 1PCh. 1.9 - Prob. 2PCh. 1.9 - Prob. 3PCh. 1.9 - Prob. 1LCCh. 1.9 - Prob. 2LCCh. 1.9 - Prob. 3LCCh. 1.9 - Prob. 4LCCh. 1.9 - Prob. 5LCCh. 1.9 - Prob. 6LCCh. 1.9 - Prob. 7LCCh. 1.9 - Prob. 8PPECh. 1.9 - Prob. 9PPECh. 1.9 - Prob. 10PPECh. 1.9 - Prob. 11PPECh. 1.9 - Prob. 12PPECh. 1.9 - Prob. 13PPECh. 1.9 - Prob. 14PPECh. 1.9 - Prob. 15PPECh. 1.9 - Prob. 16PPECh. 1.9 - Prob. 17PPECh. 1.9 - Prob. 18PPECh. 1.9 - Prob. 19PPECh. 1.9 - Prob. 20PPECh. 1.9 - Prob. 21PPECh. 1.9 - Prob. 22PPECh. 1.9 - Prob. 23PPECh. 1.9 - Prob. 24PPECh. 1.9 - Prob. 25PPECh. 1.9 - Prob. 26PPECh. 1.9 - Prob. 27PPECh. 1.9 - Prob. 28PPECh. 1.9 - Prob. 29PPECh. 1.9 - Prob. 30PPECh. 1.9 - Prob. 31PPECh. 1.9 - Prob. 32PPECh. 1.9 - Prob. 33PPECh. 1.9 - Prob. 34PPECh. 1.9 - Prob. 35PPECh. 1.9 - Prob. 36STPCh. 1.9 - Prob. 37STPCh. 1.9 - Prob. 38STPCh. 1.9 - Prob. 39STPCh. 1.9 - Prob. 40MRCh. 1.9 - Prob. 41MRCh. 1.9 - Prob. 42MRCh. 1.9 - Prob. 43MRCh. 1.9 - Prob. 44MRCh. 1.9 - Prob. 45MRCh. 1.9 - Prob. 46MRCh. 1.9 - Prob. 47MRCh. 1.9 - Prob. 48MRCh. 1.9 - Prob. 49MRCh. 1.9 - Prob. 50MRCh. 1.9 - Prob. 51MRCh. 1.9 - Prob. 52MRCh. 1.9 - Prob. 53MRCh. 1.9 - Prob. 54MRCh. 1 - Prob. 1GRCh. 1 - Prob. 2GRCh. 1 - Prob. 3GRCh. 1 - Prob. 4GRCh. 1 - Prob. 5GRCh. 1 - Prob. 6GRCh. 1 - Prob. 7GRCh. 1 - Prob. 8GRCh. 1 - Prob. 9GRCh. 1 - Prob. 10GRCh. 1 - Prob. 11GRCh. 1 - Prob. 12GRCh. 1 - Prob. 13GRCh. 1 - Prob. 14GRCh. 1 - Prob. 15GRCh. 1 - Prob. 16GRCh. 1 - Prob. 17GRCh. 1 - Prob. 18GRCh. 1 - Prob. 19GRCh. 1 - Prob. 20GRCh. 1 - Prob. 21GRCh. 1 - Prob. 22GRCh. 1 - Prob. 23GRCh. 1 - Prob. 24GRCh. 1 - Prob. 25GRCh. 1 - Prob. 26GRCh. 1 - Prob. 27GRCh. 1 - Prob. 1CRCh. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Prob. 6CRCh. 1 - Prob. 7CRCh. 1 - Prob. 8CRCh. 1 - Prob. 9CRCh. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 13CRCh. 1 - Prob. 14CRCh. 1 - Prob. 15CRCh. 1 - Prob. 16CRCh. 1 - Prob. 17CRCh. 1 - Prob. 18CRCh. 1 - Prob. 19CRCh. 1 - Prob. 20CRCh. 1 - Prob. 21CRCh. 1 - Prob. 22CRCh. 1 - Prob. 23CRCh. 1 - Prob. 24CRCh. 1 - Prob. 25CRCh. 1 - Prob. 26CRCh. 1 - Prob. 27CRCh. 1 - Prob. 28CRCh. 1 - Prob. 29CRCh. 1 - Prob. 30CRCh. 1 - Prob. 31CRCh. 1 - Prob. 32CRCh. 1 - Prob. 33CRCh. 1 - Prob. 34CRCh. 1 - Prob. 35CRCh. 1 - Prob. 36CRCh. 1 - Prob. 37CRCh. 1 - Prob. 38CRCh. 1 - Prob. 39CRCh. 1 - Prob. 40CRCh. 1 - Prob. 41CRCh. 1 - Prob. 42CRCh. 1 - Prob. 43CRCh. 1 - Prob. 44CRCh. 1 - Prob. 45CRCh. 1 - Prob. 46CRCh. 1 - Prob. 47CRCh. 1 - Prob. 48CRCh. 1 - Prob. 49CRCh. 1 - Prob. 50CRCh. 1 - Prob. 51CRCh. 1 - Prob. 52CRCh. 1 - Prob. 53CRCh. 1 - Prob. 54CRCh. 1 - Prob. 55CRCh. 1 - Prob. 56CRCh. 1 - Prob. 57CRCh. 1 - Prob. 58CRCh. 1 - Prob. 59CRCh. 1 - Prob. 60CRCh. 1 - Prob. 61CRCh. 1 - Prob. 62CRCh. 1 - Prob. 63CRCh. 1 - Prob. 64CRCh. 1 - Prob. 65CRCh. 1 - Prob. 66CRCh. 1 - Prob. 67CRCh. 1 - Prob. 68CRCh. 1 - Prob. 69CRCh. 1 - Prob. 70CRCh. 1 - Prob. 71CRCh. 1 - Prob. 72CRCh. 1 - Prob. 73CRCh. 1 - Prob. 74CRCh. 1 - Prob. 75CRCh. 1 - Prob. 76CRCh. 1 - Prob. 77CRCh. 1 - Prob. 78CRCh. 1 - Prob. 79CRCh. 1 - Prob. 80CRCh. 1 - Prob. 81CRCh. 1 - Prob. 82CRCh. 1 - Prob. 83CRCh. 1 - Prob. 84CRCh. 1 - Prob. 85CRCh. 1 - Prob. 86CRCh. 1 - Prob. 87CRCh. 1 - Prob. 88CRCh. 1 - Prob. 89CRCh. 1 - Prob. 90CRCh. 1 - Prob. 91CRCh. 1 - Prob. 92CRCh. 1 - Prob. 93CRCh. 1 - Prob. 94CRCh. 1 - Prob. 95CRCh. 1 - Prob. 96CRCh. 1 - Prob. 97CRCh. 1 - Prob. 98CRCh. 1 - Prob. 99CRCh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - Prob. 12CTCh. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 21CTCh. 1 - Prob. 22CTCh. 1 - Prob. 23CTCh. 1 - Prob. 24CTCh. 1 - Prob. 1CCSRCh. 1 - Prob. 2CCSRCh. 1 - Prob. 3CCSRCh. 1 - Prob. 4CCSRCh. 1 - Prob. 5CCSRCh. 1 - Prob. 6CCSRCh. 1 - Prob. 7CCSRCh. 1 - Prob. 8CCSRCh. 1 - Prob. 9CCSRCh. 1 - Prob. 10CCSRCh. 1 - Prob. 11CCSRCh. 1 - Prob. 12CCSRCh. 1 - Prob. 13CCSRCh. 1 - Prob. 14CCSRCh. 1 - Prob. 15CCSRCh. 1 - Prob. 16CCSRCh. 1 - Prob. 17CCSRCh. 1 - Prob. 18CCSRCh. 1 - Prob. 19CCSRCh. 1 - Prob. 20CCSRCh. 1 - Prob. 21CCSRCh. 1 - Prob. 22CCSRCh. 1 - Prob. 23CCSRCh. 1 - Prob. 24CCSR

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