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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Chapter 11.1, Problem 1P

(a)

To determine

Simplify the expression and state any excluded values.

(a)

Expert Solution
Check Mark

Answer to Problem 1P

  21a27a3=3a

Explanation of Solution

Given: a:21a27a3

Concept Used:

rational expression is considered simplified if the numerator and denominator have no factors in common.

Step 1: Factor the numerator and the denominator.

Step 2: List restricted values.

Step 3: Cancel common factors.

Step 4: Simplify and note any restricted values not implied by the expression.

Rational expression is in the form PQ , where Q0 , denominator cannot be zero in any rational expression.

Excluded values are also called points of discontinuity. These are the values that make the denominator equal to zero and are not part of the domain.

In any rational function, the denominator cannot be zero.

To find the excluded value of the function, make denominator equal to zero and simplify.

  Quotientrule:a man=amn

Calculation:

  a:21a27a3=7·3a27a3=3a[a man=amn] Excluded value a0

Thus, 21a27a3=3a

(b)

To determine

Simplify the expression and state any excluded values.

(b)

Expert Solution
Check Mark

Answer to Problem 1P

  18d24d+8=9d22(d+2)

Explanation of Solution

Given: b:18d24d+8

Concept Used:

rational expression is considered simplified if the numerator and denominator have no factors in common.

Step 1: Factor the numerator and the denominator.

Step 2: List restricted values.

Step 3: Cancel common factors.

Step 4: Simplify and note any restricted values not implied by the expression.

Rational expression is in the form PQ , where Q0 , denominator cannot be zero in any rational expression.

Excluded values are also called points of discontinuity. These are the values that make the denominator equal to zero and are not part of the domain.

In any rational function, the denominator cannot be zero.

To find the excluded value of the function, make denominator equal to zero and simplify.

Calculation:

  b:18d24d+8=18d24(d+2)=9d22(d+2) Excluded value d+20d2

Thus, 18d24d+8=9d22(d+2)

(c)

To determine

Simplify the expression and state any excluded values.

(c)

Expert Solution
Check Mark

Answer to Problem 1P

  2n36n9=13

Explanation of Solution

Given: c:2n36n9

Concept Used:

rational expression is considered simplified if the numerator and denominator have no factors in common.

Step 1: Factor the numerator and the denominator.

Step 2: List restricted values.

Step 3: Cancel common factors.

Step 4: Simplify and note any restricted values not implied by the expression.

Rational expression is in the form PQ , where Q0 , denominator cannot be zero in any rational expression.

Excluded values are also called points of discontinuity. These are the values that make the denominator equal to zero and are not part of the domain.

In any rational function, the denominator cannot be zero.

To find the excluded value of the function, make denominator equal to zero and simplify.

Calculation:

  c:2n36n9=2n33(2n3)=13 ; No excluded value.

Thus, 2n36n9=13

(d)

To determine

Simplify the expression and state any excluded values.

(d)

Expert Solution
Check Mark

Answer to Problem 1P

  26c3+91c2c2+7=13c

Explanation of Solution

Given: d:26c3+91c2c2+7

Concept Used:

rational expression is considered simplified if the numerator and denominator have no factors in common.

Step 1: Factor the numerator and the denominator.

Step 2: List restricted values.

Step 3: Cancel common factors.

Step 4: Simplify and note any restricted values not implied by the expression.

Rational expression is in the form PQ , where Q0 , denominator cannot be zero in any rational expression.

Excluded values are also called points of discontinuity. These are the values that make the denominator equal to zero and are not part of the domain.

In any rational function, the denominator cannot be zero.

To find the excluded value of the function, make denominator equal to zero and simplify.

Calculation:

  d:26c3+91c2c2+7=13c(2c2+7)2c2+7=13c ; No excluded value.

Thus, 26c3+91c2c2+7=13c

Chapter 11 Solutions

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

Ch. 11.1 - Prob. 7LCCh. 11.1 - Prob. 8PPECh. 11.1 - Prob. 9PPECh. 11.1 - Prob. 10PPECh. 11.1 - Prob. 11PPECh. 11.1 - Prob. 12PPECh. 11.1 - Prob. 13PPECh. 11.1 - Prob. 14PPECh. 11.1 - Prob. 15PPECh. 11.1 - Prob. 16PPECh. 11.1 - Prob. 17PPECh. 11.1 - Prob. 18PPECh. 11.1 - Prob. 19PPECh. 11.1 - Prob. 20PPECh. 11.1 - Prob. 21PPECh. 11.1 - Prob. 22PPECh. 11.1 - Prob. 23PPECh. 11.1 - Prob. 24PPECh. 11.1 - Prob. 25PPECh. 11.1 - Prob. 26PPECh. 11.1 - Prob. 27PPECh. 11.1 - Prob. 28PPECh. 11.1 - Prob. 29PPECh. 11.1 - Prob. 30PPECh. 11.1 - Prob. 31PPECh. 11.1 - Prob. 32PPECh. 11.1 - Prob. 33PPECh. 11.1 - Prob. 34PPECh. 11.1 - Prob. 35PPECh. 11.1 - Prob. 36PPECh. 11.1 - Prob. 37PPECh. 11.1 - Prob. 38PPECh. 11.1 - Prob. 39PPECh. 11.1 - Prob. 40PPECh. 11.1 - Prob. 41PPECh. 11.1 - Prob. 42PPECh. 11.1 - Prob. 43PPECh. 11.1 - Prob. 44PPECh. 11.1 - Prob. 45PPECh. 11.1 - Prob. 46PPECh. 11.1 - Prob. 47PPECh. 11.1 - Prob. 48PPECh. 11.1 - Prob. 49PPECh. 11.1 - Prob. 50PPECh. 11.1 - Prob. 51PPECh. 11.1 - Prob. 52PPECh. 11.1 - Prob. 53PPECh. 11.1 - Prob. 1MPCh. 11.2 - Prob. 1PCh. 11.2 - Prob. 2PCh. 11.2 - Prob. 3PCh. 11.2 - Prob. 4PCh. 11.2 - Prob. 5PCh. 11.2 - Prob. 6PCh. 11.2 - Prob. 1LCCh. 11.2 - Prob. 2LCCh. 11.2 - Prob. 3LCCh. 11.2 - Prob. 4LCCh. 11.2 - Prob. 5LCCh. 11.2 - Prob. 6LCCh. 11.2 - Prob. 7LCCh. 11.2 - Prob. 8LCCh. 11.2 - Prob. 9LCCh. 11.2 - Prob. 10LCCh. 11.2 - Prob. 11PPECh. 11.2 - Prob. 12PPECh. 11.2 - Prob. 13PPECh. 11.2 - Prob. 14PPECh. 11.2 - Prob. 15PPECh. 11.2 - Prob. 16PPECh. 11.2 - Prob. 17PPECh. 11.2 - Prob. 18PPECh. 11.2 - Prob. 19PPECh. 11.2 - Prob. 20PPECh. 11.2 - Prob. 21PPECh. 11.2 - Prob. 22PPECh. 11.2 - Prob. 23PPECh. 11.2 - Prob. 24PPECh. 11.2 - Prob. 25PPECh. 11.2 - Prob. 26PPECh. 11.2 - Prob. 27PPECh. 11.2 - Prob. 28PPECh. 11.2 - Prob. 29PPECh. 11.2 - Prob. 30PPECh. 11.2 - Prob. 31PPECh. 11.2 - Prob. 32PPECh. 11.2 - Prob. 33PPECh. 11.2 - Prob. 34PPECh. 11.2 - Prob. 35PPECh. 11.2 - Prob. 36PPECh. 11.2 - Prob. 37PPECh. 11.2 - Prob. 38PPECh. 11.2 - Prob. 39PPECh. 11.2 - Prob. 40PPECh. 11.2 - Prob. 41PPECh. 11.2 - Prob. 42PPECh. 11.2 - Prob. 43PPECh. 11.2 - Prob. 44PPECh. 11.2 - Prob. 45PPECh. 11.2 - Prob. 46PPECh. 11.2 - Prob. 47PPECh. 11.2 - Prob. 48PPECh. 11.2 - Prob. 49PPECh. 11.2 - Prob. 50PPECh. 11.2 - Prob. 51PPECh. 11.2 - Prob. 52PPECh. 11.2 - Prob. 53PPECh. 11.2 - Prob. 54PPECh. 11.2 - Prob. 55PPECh. 11.2 - Prob. 56PPECh. 11.2 - Prob. 57PPECh. 11.2 - Prob. 58PPECh. 11.2 - Prob. 59PPECh. 11.2 - Prob. 60PPECh. 11.2 - Prob. 61PPECh. 11.2 - Prob. 62PPECh. 11.2 - Prob. 63PPECh. 11.2 - Prob. 64PPECh. 11.2 - Prob. 65PPECh. 11.2 - Prob. 66PPECh. 11.2 - Prob. 67PPECh. 11.2 - Prob. 68PPECh. 11.2 - Prob. 69PPECh. 11.2 - Prob. 70STPCh. 11.2 - Prob. 71STPCh. 11.2 - Prob. 72STPCh. 11.2 - Prob. 73STPCh. 11.2 - Prob. 74MRCh. 11.2 - Prob. 75MRCh. 11.2 - Prob. 76MRCh. 11.2 - Prob. 77MRCh. 11.2 - Prob. 78MRCh. 11.2 - Prob. 79MRCh. 11.3 - Prob. 1CBCh. 11.3 - Prob. 2CBCh. 11.3 - Prob. 3CBCh. 11.3 - Prob. 4CBCh. 11.3 - Prob. 5CBCh. 11.3 - Prob. 1PCh. 11.3 - Prob. 2PCh. 11.3 - Prob. 3PCh. 11.3 - Prob. 4PCh. 11.3 - Prob. 1LCCh. 11.3 - Prob. 2LCCh. 11.3 - Prob. 3LCCh. 11.3 - Prob. 4LCCh. 11.3 - Prob. 5LCCh. 11.3 - Prob. 6LCCh. 11.3 - Prob. 7LCCh. 11.3 - Prob. 8PPECh. 11.3 - Prob. 9PPECh. 11.3 - Prob. 10PPECh. 11.3 - Prob. 11PPECh. 11.3 - Prob. 12PPECh. 11.3 - Prob. 13PPECh. 11.3 - Prob. 14PPECh. 11.3 - Prob. 15PPECh. 11.3 - Prob. 16PPECh. 11.3 - Prob. 17PPECh. 11.3 - Prob. 18PPECh. 11.3 - Prob. 19PPECh. 11.3 - Prob. 20PPECh. 11.3 - Prob. 21PPECh. 11.3 - Prob. 22PPECh. 11.3 - Prob. 23PPECh. 11.3 - Prob. 24PPECh. 11.3 - Prob. 25PPECh. 11.3 - Prob. 26PPECh. 11.3 - Prob. 27PPECh. 11.3 - Prob. 28PPECh. 11.3 - Prob. 29PPECh. 11.3 - Prob. 30PPECh. 11.3 - Prob. 31PPECh. 11.3 - Prob. 32PPECh. 11.3 - Prob. 33PPECh. 11.3 - Prob. 34PPECh. 11.3 - Prob. 35PPECh. 11.3 - Prob. 36PPECh. 11.3 - Prob. 37PPECh. 11.3 - Prob. 38PPECh. 11.3 - Prob. 39PPECh. 11.3 - Prob. 40PPECh. 11.3 - Prob. 41PPECh. 11.3 - Prob. 42PPECh. 11.3 - Prob. 43PPECh. 11.3 - Prob. 44PPECh. 11.3 - Prob. 45PPECh. 11.3 - Prob. 46PPECh. 11.3 - Prob. 47PPECh. 11.3 - Prob. 48PPECh. 11.3 - Prob. 49PPECh. 11.3 - Prob. 50PPECh. 11.3 - Prob. 51PPECh. 11.3 - Prob. 52PPECh. 11.3 - Prob. 53PPECh. 11.3 - Prob. 54PPECh. 11.3 - Prob. 55PPECh. 11.3 - Prob. 56PPECh. 11.3 - Prob. 57PPECh. 11.3 - Prob. 58PPECh. 11.3 - Prob. 59PPECh. 11.3 - Prob. 60STPCh. 11.3 - Prob. 61STPCh. 11.3 - Prob. 62STPCh. 11.3 - Prob. 63STPCh. 11.3 - Prob. 64MRCh. 11.3 - Prob. 65MRCh. 11.3 - Prob. 66MRCh. 11.3 - Prob. 67MRCh. 11.3 - Prob. 68MRCh. 11.3 - Prob. 69MRCh. 11.3 - Prob. 70MRCh. 11.3 - Prob. 71MRCh. 11.4 - Prob. 1PCh. 11.4 - Prob. 2PCh. 11.4 - Prob. 3PCh. 11.4 - Prob. 4PCh. 11.4 - Prob. 5PCh. 11.4 - Prob. 1LCCh. 11.4 - Prob. 2LCCh. 11.4 - Prob. 3LCCh. 11.4 - Prob. 4LCCh. 11.4 - Prob. 5LCCh. 11.4 - Prob. 6LCCh. 11.4 - Prob. 7LCCh. 11.4 - Prob. 8PPECh. 11.4 - Prob. 9PPECh. 11.4 - Prob. 10PPECh. 11.4 - Prob. 11PPECh. 11.4 - Prob. 12PPECh. 11.4 - Prob. 13PPECh. 11.4 - Prob. 14PPECh. 11.4 - Prob. 15PPECh. 11.4 - Prob. 16PPECh. 11.4 - Prob. 17PPECh. 11.4 - Prob. 18PPECh. 11.4 - Prob. 19PPECh. 11.4 - Prob. 20PPECh. 11.4 - Prob. 21PPECh. 11.4 - Prob. 22PPECh. 11.4 - Prob. 23PPECh. 11.4 - Prob. 24PPECh. 11.4 - Prob. 25PPECh. 11.4 - Prob. 26PPECh. 11.4 - Prob. 27PPECh. 11.4 - Prob. 28PPECh. 11.4 - Prob. 29PPECh. 11.4 - Prob. 30PPECh. 11.4 - Prob. 31PPECh. 11.4 - Prob. 32PPECh. 11.4 - Prob. 33PPECh. 11.4 - Prob. 34PPECh. 11.4 - Prob. 35PPECh. 11.4 - Prob. 36PPECh. 11.4 - Prob. 37PPECh. 11.4 - Prob. 38PPECh. 11.4 - Prob. 39PPECh. 11.4 - Prob. 40PPECh. 11.4 - Prob. 41PPECh. 11.4 - Prob. 42PPECh. 11.4 - Prob. 43PPECh. 11.4 - Prob. 44PPECh. 11.4 - Prob. 45PPECh. 11.4 - Prob. 46PPECh. 11.4 - Prob. 47PPECh. 11.4 - Prob. 48PPECh. 11.4 - Prob. 49PPECh. 11.4 - Prob. 50PPECh. 11.4 - Prob. 51PPECh. 11.4 - Prob. 52PPECh. 11.4 - Prob. 53PPECh. 11.4 - Prob. 54PPECh. 11.4 - Prob. 1MPCh. 11.4 - Prob. 1MCQCh. 11.4 - Prob. 2MCQCh. 11.4 - Prob. 3MCQCh. 11.4 - Prob. 4MCQCh. 11.4 - Prob. 5MCQCh. 11.4 - Prob. 6MCQCh. 11.4 - Prob. 7MCQCh. 11.4 - Prob. 8MCQCh. 11.4 - Prob. 9MCQCh. 11.4 - Prob. 10MCQCh. 11.4 - Prob. 11MCQCh. 11.4 - Prob. 12MCQCh. 11.4 - Prob. 13MCQCh. 11.4 - Prob. 14MCQCh. 11.4 - Prob. 15MCQCh. 11.4 - Prob. 16MCQCh. 11.4 - Prob. 17MCQCh. 11.4 - Prob. 18MCQCh. 11.4 - Prob. 19MCQCh. 11.4 - Prob. 20MCQCh. 11.4 - Prob. 21MCQCh. 11.4 - Prob. 22MCQCh. 11.4 - Prob. 23MCQCh. 11.4 - Prob. 24MCQCh. 11.4 - Prob. 25MCQCh. 11.5 - Prob. 1PCh. 11.5 - Prob. 2PCh. 11.5 - Prob. 3PCh. 11.5 - Prob. 4PCh. 11.5 - Prob. 5PCh. 11.5 - Prob. 1LCCh. 11.5 - Prob. 2LCCh. 11.5 - Prob. 3LCCh. 11.5 - Prob. 4LCCh. 11.5 - Prob. 5LCCh. 11.5 - Prob. 6LCCh. 11.5 - Prob. 7LCCh. 11.5 - Prob. 8PPECh. 11.5 - Prob. 9PPECh. 11.5 - Prob. 10PPECh. 11.5 - Prob. 11PPECh. 11.5 - Prob. 12PPECh. 11.5 - Prob. 13PPECh. 11.5 - Prob. 14PPECh. 11.5 - Prob. 15PPECh. 11.5 - Prob. 16PPECh. 11.5 - Prob. 17PPECh. 11.5 - Prob. 18PPECh. 11.5 - Prob. 19PPECh. 11.5 - Prob. 20PPECh. 11.5 - Prob. 21PPECh. 11.5 - Prob. 22PPECh. 11.5 - Prob. 23PPECh. 11.5 - Prob. 24PPECh. 11.5 - Prob. 25PPECh. 11.5 - Prob. 26PPECh. 11.5 - Prob. 27PPECh. 11.5 - Prob. 28PPECh. 11.5 - Prob. 29PPECh. 11.5 - Prob. 30PPECh. 11.5 - Prob. 31PPECh. 11.5 - Prob. 32PPECh. 11.5 - Prob. 33PPECh. 11.5 - Prob. 34PPECh. 11.5 - Prob. 35PPECh. 11.5 - Prob. 36PPECh. 11.5 - Prob. 37PPECh. 11.5 - Prob. 38PPECh. 11.5 - Prob. 39PPECh. 11.5 - Prob. 40PPECh. 11.5 - Prob. 41PPECh. 11.5 - Prob. 42PPECh. 11.5 - Prob. 43PPECh. 11.5 - Prob. 44PPECh. 11.5 - Prob. 45PPECh. 11.5 - Prob. 46PPECh. 11.5 - Prob. 47PPECh. 11.5 - Prob. 48PPECh. 11.5 - Prob. 49PPECh. 11.5 - Prob. 50PPECh. 11.5 - Prob. 51PPECh. 11.5 - Prob. 52STPCh. 11.5 - Prob. 53STPCh. 11.5 - Prob. 54STPCh. 11.5 - Prob. 55STPCh. 11.5 - Prob. 56MRCh. 11.5 - Prob. 57MRCh. 11.5 - Prob. 58MRCh. 11.5 - Prob. 59MRCh. 11.5 - Prob. 60MRCh. 11.5 - Prob. 61MRCh. 11.5 - Prob. 62MRCh. 11.5 - Prob. 63MRCh. 11.5 - Prob. 64MRCh. 11.5 - Prob. 65MRCh. 11.5 - Prob. 66MRCh. 11.6 - Prob. 1PCh. 11.6 - Prob. 2PCh. 11.6 - Prob. 3PCh. 11.6 - Prob. 4PCh. 11.6 - Prob. 5PCh. 11.6 - Prob. 1LCCh. 11.6 - Prob. 2LCCh. 11.6 - Prob. 3LCCh. 11.6 - Prob. 4LCCh. 11.6 - Prob. 5LCCh. 11.6 - Prob. 6LCCh. 11.6 - Prob. 7LCCh. 11.6 - Prob. 8LCCh. 11.6 - Prob. 9PPECh. 11.6 - Prob. 10PPECh. 11.6 - Prob. 11PPECh. 11.6 - Prob. 12PPECh. 11.6 - Prob. 13PPECh. 11.6 - Prob. 14PPECh. 11.6 - Prob. 15PPECh. 11.6 - Prob. 16PPECh. 11.6 - Prob. 17PPECh. 11.6 - Prob. 18PPECh. 11.6 - Prob. 19PPECh. 11.6 - Prob. 20PPECh. 11.6 - Prob. 21PPECh. 11.6 - Prob. 22PPECh. 11.6 - Prob. 23PPECh. 11.6 - Prob. 24PPECh. 11.6 - Prob. 25PPECh. 11.6 - Prob. 26PPECh. 11.6 - Prob. 27PPECh. 11.6 - Prob. 28PPECh. 11.6 - Prob. 29PPECh. 11.6 - Prob. 30PPECh. 11.6 - Prob. 31PPECh. 11.6 - Prob. 32PPECh. 11.6 - Prob. 33PPECh. 11.6 - Prob. 34PPECh. 11.6 - Prob. 35PPECh. 11.6 - Prob. 36PPECh. 11.6 - Prob. 37PPECh. 11.6 - Prob. 38PPECh. 11.6 - Prob. 39PPECh. 11.6 - Prob. 40PPECh. 11.6 - Prob. 41PPECh. 11.6 - Prob. 42PPECh. 11.6 - Prob. 43PPECh. 11.6 - Prob. 44PPECh. 11.6 - Prob. 45PPECh. 11.6 - Prob. 46PPECh. 11.6 - Prob. 47PPECh. 11.6 - Prob. 48PPECh. 11.6 - Prob. 49PPECh. 11.6 - Prob. 50STPCh. 11.6 - Prob. 51STPCh. 11.6 - Prob. 52STPCh. 11.6 - Prob. 53MRCh. 11.6 - Prob. 54MRCh. 11.6 - Prob. 55MRCh. 11.6 - Prob. 56MRCh. 11.6 - Prob. 57MRCh. 11.6 - Prob. 58MRCh. 11.6 - Prob. 59MRCh. 11.7 - Prob. 1PCh. 11.7 - Prob. 2PCh. 11.7 - Prob. 3PCh. 11.7 - Prob. 4PCh. 11.7 - Prob. 1LCCh. 11.7 - Prob. 2LCCh. 11.7 - Prob. 3LCCh. 11.7 - Prob. 4LCCh. 11.7 - Prob. 5LCCh. 11.7 - Prob. 6LCCh. 11.7 - Prob. 7LCCh. 11.7 - Prob. 8PPECh. 11.7 - Prob. 9PPECh. 11.7 - Prob. 10PPECh. 11.7 - Prob. 11PPECh. 11.7 - Prob. 12PPECh. 11.7 - Prob. 13PPECh. 11.7 - Prob. 14PPECh. 11.7 - Prob. 15PPECh. 11.7 - Prob. 16PPECh. 11.7 - Prob. 17PPECh. 11.7 - Prob. 18PPECh. 11.7 - Prob. 19PPECh. 11.7 - Prob. 20PPECh. 11.7 - Prob. 21PPECh. 11.7 - Prob. 22PPECh. 11.7 - Prob. 23PPECh. 11.7 - Prob. 24PPECh. 11.7 - Prob. 25PPECh. 11.7 - Prob. 26PPECh. 11.7 - Prob. 27PPECh. 11.7 - Prob. 28PPECh. 11.7 - Prob. 29PPECh. 11.7 - Prob. 30PPECh. 11.7 - Prob. 31PPECh. 11.7 - Prob. 32PPECh. 11.7 - Prob. 33PPECh. 11.7 - Prob. 34PPECh. 11.7 - Prob. 35PPECh. 11.7 - Prob. 36PPECh. 11.7 - Prob. 37PPECh. 11.7 - Prob. 38PPECh. 11.7 - Prob. 39PPECh. 11.7 - Prob. 40PPECh. 11.7 - Prob. 41PPECh. 11.7 - Prob. 42PPECh. 11.7 - Prob. 43PPECh. 11.7 - Prob. 44PPECh. 11.7 - Prob. 45PPECh. 11.7 - Prob. 46PPECh. 11.7 - Prob. 47PPECh. 11.7 - Prob. 48PPECh. 11.7 - Prob. 49PPECh. 11.7 - Prob. 1MPCh. 11.7 - Prob. 1CBCh. 11.7 - Prob. 2CBCh. 11.7 - Prob. 3CBCh. 11.7 - Prob. 4CBCh. 11.7 - Prob. 5CBCh. 11.7 - Prob. 6CBCh. 11.7 - Prob. 7CBCh. 11.7 - Prob. 8CBCh. 11.7 - Prob. 9CBCh. 11.7 - Prob. 10CBCh. 11 - Prob. 1GRCh. 11 - Prob. 2GRCh. 11 - Prob. 3GRCh. 11 - Prob. 4GRCh. 11 - Prob. 5GRCh. 11 - Prob. 6GRCh. 11 - Prob. 7GRCh. 11 - Prob. 8GRCh. 11 - Prob. 9GRCh. 11 - Prob. 10GRCh. 11 - Prob. 11GRCh. 11 - Prob. 12GRCh. 11 - Prob. 13GRCh. 11 - Prob. 14GRCh. 11 - Prob. 15GRCh. 11 - Prob. 16GRCh. 11 - Prob. 17GRCh. 11 - Prob. 18GRCh. 11 - Prob. 19GRCh. 11 - Prob. 20GRCh. 11 - Prob. 21GRCh. 11 - Prob. 22GRCh. 11 - Prob. 23GRCh. 11 - Prob. 1CRCh. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - Prob. 8CRCh. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - Prob. 14CRCh. 11 - Prob. 15CRCh. 11 - Prob. 16CRCh. 11 - Prob. 17CRCh. 11 - Prob. 18CRCh. 11 - Prob. 19CRCh. 11 - Prob. 20CRCh. 11 - Prob. 21CRCh. 11 - Prob. 22CRCh. 11 - Prob. 23CRCh. 11 - Prob. 24CRCh. 11 - Prob. 25CRCh. 11 - Prob. 26CRCh. 11 - Prob. 27CRCh. 11 - Prob. 28CRCh. 11 - Prob. 29CRCh. 11 - Prob. 30CRCh. 11 - Prob. 31CRCh. 11 - Prob. 32CRCh. 11 - Prob. 33CRCh. 11 - Prob. 34CRCh. 11 - Prob. 35CRCh. 11 - Prob. 36CRCh. 11 - Prob. 37CRCh. 11 - Prob. 38CRCh. 11 - Prob. 39CRCh. 11 - Prob. 40CRCh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PTCh. 11 - Prob. 17PTCh. 11 - Prob. 18PTCh. 11 - Prob. 19PTCh. 11 - Prob. 20PTCh. 11 - Prob. 21PTCh. 11 - Prob. 22PTCh. 11 - Prob. 23PTCh. 11 - Prob. 24PTCh. 11 - Prob. 25PTCh. 11 - Prob. 1CCSRCh. 11 - Prob. 2CCSRCh. 11 - Prob. 3CCSRCh. 11 - Prob. 4CCSRCh. 11 - Prob. 5CCSRCh. 11 - Prob. 6CCSRCh. 11 - Prob. 7CCSRCh. 11 - Prob. 8CCSRCh. 11 - Prob. 9CCSRCh. 11 - Prob. 10CCSRCh. 11 - Prob. 11CCSRCh. 11 - Prob. 12CCSRCh. 11 - Prob. 13CCSRCh. 11 - Prob. 14CCSRCh. 11 - Prob. 15CCSRCh. 11 - Prob. 16CCSRCh. 11 - Prob. 17CCSRCh. 11 - Prob. 18CCSRCh. 11 - Prob. 19CCSRCh. 11 - Prob. 20CCSRCh. 11 - Prob. 21CCSRCh. 11 - Prob. 22CCSRCh. 11 - Prob. 23CCSRCh. 11 - Prob. 24CCSRCh. 11 - Prob. 25CCSRCh. 11 - Prob. 26CCSRCh. 11 - Prob. 27CCSRCh. 11 - Prob. 28CCSRCh. 11 - Prob. 29CCSRCh. 11 - Prob. 30CCSRCh. 11 - Prob. 31CCSR

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