Pre-Algebra Student Edition
Pre-Algebra Student Edition
1st Edition
ISBN: 9780078957734
Author: Glencoe/McGraw-Hill
Publisher: MCG
Question
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Chapter 9.7, Problem 23PPS

(a)

To determine

The values of Circumference and Area of Circle S

(a)

Expert Solution
Check Mark

Answer to Problem 23PPS

    Radius ‘r’‘C’ = 6.28r‘A’= 3.14r2
    16.283.14
    212.5612.56
    318.8428.26
    425.1250.24
    531.478.5

Explanation of Solution

Given:

Area of Circle ‘A’= 3.14r2

Circumference of Circle ‘C’ = 6.28r

Calculation:

The given table can be completed as:

    Radius ‘r’‘C’ = 6.28r‘A’= 3.14r2
    16.283.14
    212.5612.56
    318.8428.26
    425.1250.24
    531.478.5

(b)

To determine

The graph whose ordered pairs are (r, C)

(b)

Expert Solution
Check Mark

Answer to Problem 23PPS

  Pre-Algebra Student Edition, Chapter 9.7, Problem 23PPS , additional homework tip 1

Explanation of Solution

Given:

Area of Circle ‘A’= 3.14r2

Circumference of Circle ‘C’ = 6.28r

Calculation:

The given table can be completed as:

    Radius ‘r’‘C’ = 6.28r‘A’= 3.14r2
    16.283.14
    212.5612.56
    318.8428.26
    425.1250.24
    531.478.5

The ordered pairs (r, C) will be:

  (1,6.28),(2,12.56),(3,18.84),(4,25.12),(5,31.4)

The graph will be of the ordered pairs (r, C) will be:

  Pre-Algebra Student Edition, Chapter 9.7, Problem 23PPS , additional homework tip 2

(c)

To determine

The graph whose ordered pairs are (r, A)

(c)

Expert Solution
Check Mark

Answer to Problem 23PPS

  Pre-Algebra Student Edition, Chapter 9.7, Problem 23PPS , additional homework tip 3

Explanation of Solution

Given:

Area of Circle ‘A’= 3.14r2

Circumference of Circle ‘C’ = 6.28r

Calculation:

The given table can be completed as:

    Radius ‘r’‘C’ = 6.28r‘A’= 3.14r2
    16.283.14
    212.5612.56
    318.8428.26
    425.1250.24
    531.478.5

The ordered pairs (r, A) will be:

  (1,3.14),(2,12.56),(3,28.26),(4,50.24),(5,78.5)

The graph will be of the ordered pairs (r, A) will be:

  Pre-Algebra Student Edition, Chapter 9.7, Problem 23PPS , additional homework tip 4

(d)

To determine

Whether any of the graph in sub-part (b) and (c) represent a linear relationship

(d)

Expert Solution
Check Mark

Answer to Problem 23PPS

Circumference graph is a linear graph

m = 6.28

Explanation of Solution

Given:

Area of Circle ‘A’= 3.14r2

Circumference of Circle ‘C’ = 6.28r

Calculation:

The equation for the circumference of circle is linear because it is in the form y=a+bx and also, the graph forms a straight line.

The slope will be calculated from this table:

    Radius ‘r’‘C’ = 6.28r
    16.28
    212.56
    318.84
    425.12
    531.4

  m=y2−y1x2−x1m=12.56−6.282−1m=6.28

The equation for the area of circle is not linear because it is not in the form y=a+bx and the graph is also not a straight line.

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Chapter 9.7, Problem 22PPS
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Chapter 9.7, Problem 24PPS

Chapter 9 Solutions

Pre-Algebra Student Edition

Ch. 9.1 - Prob. 1AGPCh. 9.1 - Prob. 1BGPCh. 9.1 - Prob. 1CGPCh. 9.1 - Prob. 2AGPCh. 9.1 - Prob. 2BGPCh. 9.1 - Prob. 2CGPCh. 9.1 - Prob. 3GPCh. 9.1 - Prob. 4AGPCh. 9.1 - Prob. 4BGPCh. 9.1 - Prob. 4CGP
Ch. 9.1 - Prob. 1CYUCh. 9.1 - Prob. 2CYUCh. 9.1 - Prob. 3CYUCh. 9.1 - Prob. 4CYUCh. 9.1 - Prob. 5CYUCh. 9.1 - Prob. 6CYUCh. 9.1 - Prob. 7CYUCh. 9.1 - Prob. 8CYUCh. 9.1 - Prob. 9CYUCh. 9.1 - Prob. 10CYUCh. 9.1 - Prob. 11CYUCh. 9.1 - Prob. 12PPSCh. 9.1 - Prob. 13PPSCh. 9.1 - Prob. 14PPSCh. 9.1 - Prob. 15PPSCh. 9.1 - Prob. 16PPSCh. 9.1 - Prob. 17PPSCh. 9.1 - Prob. 18PPSCh. 9.1 - Prob. 19PPSCh. 9.1 - Prob. 20PPSCh. 9.1 - Prob. 21PPSCh. 9.1 - Prob. 22PPSCh. 9.1 - Prob. 23PPSCh. 9.1 - Prob. 24PPSCh. 9.1 - Prob. 25PPSCh. 9.1 - Prob. 26PPSCh. 9.1 - Prob. 27PPSCh. 9.1 - Prob. 28PPSCh. 9.1 - Prob. 29PPSCh. 9.1 - Prob. 30PPSCh. 9.1 - Prob. 31PPSCh. 9.1 - Prob. 32PPSCh. 9.1 - Prob. 33PPSCh. 9.1 - Prob. 34PPSCh. 9.1 - Prob. 35PPSCh. 9.1 - Prob. 36PPSCh. 9.1 - Prob. 37PPSCh. 9.1 - Prob. 38PPSCh. 9.1 - Prob. 39PPSCh. 9.1 - Prob. 40PPSCh. 9.1 - Prob. 41PPSCh. 9.1 - Prob. 42PPSCh. 9.1 - Prob. 43PPSCh. 9.1 - Prob. 44PPSCh. 9.1 - Prob. 45PPSCh. 9.1 - Prob. 46PPSCh. 9.1 - Prob. 47PPSCh. 9.1 - Prob. 48PPSCh. 9.1 - Prob. 49PPSCh. 9.1 - Prob. 50PPSCh. 9.1 - Prob. 51PPSCh. 9.1 - Prob. 52PPSCh. 9.1 - Prob. 53PPSCh. 9.1 - Prob. 54PPSCh. 9.1 - Prob. 55HPCh. 9.1 - Prob. 56HPCh. 9.1 - Prob. 57HPCh. 9.1 - Prob. 58HPCh. 9.1 - Prob. 59HPCh. 9.1 - Prob. 60STPCh. 9.1 - Prob. 61STPCh. 9.1 - Prob. 62STPCh. 9.1 - Prob. 63STPCh. 9.1 - Prob. 64SRCh. 9.1 - Prob. 65SRCh. 9.1 - Prob. 66SRCh. 9.1 - Prob. 67SRCh. 9.1 - Prob. 68SRCh. 9.1 - Prob. 69SRCh. 9.1 - Prob. 70SRCh. 9.1 - Prob. 71SRCh. 9.1 - Prob. 72SCh. 9.1 - Prob. 73SCh. 9.1 - Prob. 74SCh. 9.1 - Prob. 75SCh. 9.2 - Prob. 1AGPCh. 9.2 - Prob. 1BGPCh. 9.2 - Prob. 2GPCh. 9.2 - Prob. 3AGPCh. 9.2 - Prob. 3BGPCh. 9.2 - Prob. 3CGPCh. 9.2 - Prob. 1CYUCh. 9.2 - Prob. 2CYUCh. 9.2 - Prob. 3CYUCh. 9.2 - Prob. 4CYUCh. 9.2 - Prob. 5CYUCh. 9.2 - Prob. 6CYUCh. 9.2 - Prob. 7CYUCh. 9.2 - Prob. 8PPSCh. 9.2 - Prob. 9PPSCh. 9.2 - Prob. 10PPSCh. 9.2 - Prob. 11PPSCh. 9.2 - Prob. 12PPSCh. 9.2 - Prob. 13PPSCh. 9.2 - Prob. 14PPSCh. 9.2 - Prob. 15PPSCh. 9.2 - Prob. 16PPSCh. 9.2 - Prob. 17PPSCh. 9.2 - Prob. 18PPSCh. 9.2 - Prob. 19PPSCh. 9.2 - Prob. 20PPSCh. 9.2 - Prob. 21PPSCh. 9.2 - Prob. 22PPSCh. 9.2 - Prob. 23PPSCh. 9.2 - Prob. 24PPSCh. 9.2 - Prob. 25PPSCh. 9.2 - Prob. 26PPSCh. 9.2 - Prob. 27PPSCh. 9.2 - Prob. 28PPSCh. 9.2 - Prob. 29PPSCh. 9.2 - Prob. 30PPSCh. 9.2 - Prob. 31PPSCh. 9.2 - Prob. 32PPSCh. 9.2 - Prob. 33PPSCh. 9.2 - Prob. 34PPSCh. 9.2 - Prob. 35PPSCh. 9.2 - Prob. 36PPSCh. 9.2 - Prob. 37PPSCh. 9.2 - Prob. 38PPSCh. 9.2 - Prob. 39PPSCh. 9.2 - Prob. 40PPSCh. 9.2 - Prob. 41PPSCh. 9.2 - Prob. 42PPSCh. 9.2 - Prob. 43PPSCh. 9.2 - Prob. 44STPCh. 9.2 - Prob. 45STPCh. 9.2 - Prob. 46STPCh. 9.2 - Prob. 47STPCh. 9.2 - Prob. 48SRCh. 9.2 - Prob. 49SRCh. 9.2 - Prob. 50SRCh. 9.2 - Prob. 51SRCh. 9.2 - Prob. 52SRCh. 9.2 - Prob. 53SRCh. 9.2 - Prob. 54SRCh. 9.2 - Prob. 55SRCh. 9.2 - Prob. 56SRCh. 9.2 - Prob. 57SRCh. 9.2 - Prob. 58SRCh. 9.2 - Prob. 59SCh. 9.2 - Prob. 60SCh. 9.2 - Prob. 61SCh. 9.2 - Prob. 62SCh. 9.2 - Prob. 63SCh. 9.2 - Prob. 64SCh. 9.3 - Prob. 1AGPCh. 9.3 - Prob. 1BGPCh. 9.3 - Prob. 2AGPCh. 9.3 - Prob. 2BGPCh. 9.3 - Prob. 3AGPCh. 9.3 - Prob. 3BGPCh. 9.3 - Prob. 4GPCh. 9.3 - Prob. 1CYUCh. 9.3 - Prob. 2CYUCh. 9.3 - Prob. 3CYUCh. 9.3 - Prob. 4CYUCh. 9.3 - Prob. 5CYUCh. 9.3 - Prob. 6CYUCh. 9.3 - Prob. 7CYUCh. 9.3 - Prob. 8CYUCh. 9.3 - Prob. 9CYUCh. 9.3 - Prob. 10PPSCh. 9.3 - Prob. 11PPSCh. 9.3 - Prob. 12PPSCh. 9.3 - Prob. 13PPSCh. 9.3 - Prob. 14PPSCh. 9.3 - Prob. 15PPSCh. 9.3 - Prob. 16PPSCh. 9.3 - Prob. 17PPSCh. 9.3 - Prob. 18PPSCh. 9.3 - Prob. 19PPSCh. 9.3 - Prob. 20PPSCh. 9.3 - Prob. 21PPSCh. 9.3 - Prob. 22PPSCh. 9.3 - Prob. 23PPSCh. 9.3 - Prob. 24PPSCh. 9.3 - Prob. 25PPSCh. 9.3 - Prob. 26PPSCh. 9.3 - Prob. 27PPSCh. 9.3 - Prob. 28PPSCh. 9.3 - Prob. 29PPSCh. 9.3 - Prob. 30PPSCh. 9.3 - Prob. 31PPSCh. 9.3 - Prob. 32PPSCh. 9.3 - Prob. 33PPSCh. 9.3 - Prob. 34PPSCh. 9.3 - Prob. 35PPSCh. 9.3 - Prob. 36PPSCh. 9.3 - Prob. 37PPSCh. 9.3 - Prob. 38PPSCh. 9.3 - Prob. 39PPSCh. 9.3 - Prob. 40PPSCh. 9.3 - Prob. 41HPCh. 9.3 - Prob. 42HPCh. 9.3 - Prob. 43HPCh. 9.3 - Prob. 44HPCh. 9.3 - Prob. 45HPCh. 9.3 - Prob. 46STPCh. 9.3 - Prob. 47STPCh. 9.3 - Prob. 48STPCh. 9.3 - Prob. 49STPCh. 9.3 - Prob. 50SRCh. 9.3 - Prob. 51SRCh. 9.3 - Prob. 52SRCh. 9.3 - Prob. 53SRCh. 9.3 - Prob. 54SRCh. 9.3 - Prob. 55SRCh. 9.3 - Prob. 56SRCh. 9.3 - Prob. 57SRCh. 9.3 - Prob. 58SRCh. 9.3 - Prob. 59SRCh. 9.3 - Prob. 60SRCh. 9.3 - Prob. 61SRCh. 9.3 - Prob. 62SRCh. 9.3 - Prob. 63SCh. 9.3 - Prob. 64SCh. 9.3 - Prob. 65SCh. 9.3 - Prob. 66SCh. 9.4 - Prob. 1AGPCh. 9.4 - Prob. 1BGPCh. 9.4 - Prob. 1CGPCh. 9.4 - Prob. 2AGPCh. 9.4 - Prob. 2BGPCh. 9.4 - Prob. 2CGPCh. 9.4 - Prob. 3GPCh. 9.4 - Prob. 4AGPCh. 9.4 - Prob. 4BGPCh. 9.4 - Prob. 1CYUCh. 9.4 - Prob. 2CYUCh. 9.4 - Prob. 3CYUCh. 9.4 - Prob. 4CYUCh. 9.4 - Prob. 5CYUCh. 9.4 - Prob. 6CYUCh. 9.4 - Prob. 7CYUCh. 9.4 - Prob. 8CYUCh. 9.4 - Prob. 9CYUCh. 9.4 - Prob. 10CYUCh. 9.4 - Prob. 11CYUCh. 9.4 - Prob. 12CYUCh. 9.4 - Prob. 13CYUCh. 9.4 - Prob. 14PPSCh. 9.4 - Prob. 15PPSCh. 9.4 - Prob. 16PPSCh. 9.4 - Prob. 17PPSCh. 9.4 - Prob. 18PPSCh. 9.4 - Prob. 19PPSCh. 9.4 - Prob. 20PPSCh. 9.4 - Prob. 21PPSCh. 9.4 - Prob. 22PPSCh. 9.4 - Prob. 23PPSCh. 9.4 - Prob. 24PPSCh. 9.4 - Prob. 25PPSCh. 9.4 - Prob. 26PPSCh. 9.4 - Prob. 27PPSCh. 9.4 - Prob. 28PPSCh. 9.4 - Prob. 29PPSCh. 9.4 - Prob. 30PPSCh. 9.4 - Prob. 31PPSCh. 9.4 - Prob. 32PPSCh. 9.4 - Prob. 33PPSCh. 9.4 - Prob. 34PPSCh. 9.4 - Prob. 35PPSCh. 9.4 - Prob. 36PPSCh. 9.4 - Prob. 37PPSCh. 9.4 - Prob. 38PPSCh. 9.4 - Prob. 39PPSCh. 9.4 - Prob. 40PPSCh. 9.4 - Prob. 41PPSCh. 9.4 - Prob. 42PPSCh. 9.4 - Prob. 43PPSCh. 9.4 - Prob. 44PPSCh. 9.4 - Prob. 45PPSCh. 9.4 - Prob. 46PPSCh. 9.4 - Prob. 47PPSCh. 9.4 - Prob. 48PPSCh. 9.4 - Prob. 49PPSCh. 9.4 - Prob. 50PPSCh. 9.4 - Prob. 51HPCh. 9.4 - Prob. 52HPCh. 9.4 - Prob. 53HPCh. 9.4 - Prob. 54HPCh. 9.4 - Prob. 55HPCh. 9.4 - Prob. 56HPCh. 9.4 - Prob. 57STPCh. 9.4 - Prob. 58STPCh. 9.4 - Prob. 59STPCh. 9.4 - Prob. 60STPCh. 9.4 - Prob. 61SRCh. 9.4 - Prob. 62SRCh. 9.4 - Prob. 63SRCh. 9.4 - Prob. 64SRCh. 9.4 - Prob. 65SRCh. 9.4 - Prob. 66SRCh. 9.4 - Prob. 67SRCh. 9.4 - Prob. 68SRCh. 9.4 - Prob. 69SCh. 9.4 - Prob. 70SCh. 9.4 - Prob. 71SCh. 9.4 - Prob. 72SCh. 9.4 - Prob. 73SCh. 9.4 - Prob. 74SCh. 9.5 - Prob. 1AGPCh. 9.5 - Prob. 1BGPCh. 9.5 - Prob. 1CGPCh. 9.5 - Prob. 2AGPCh. 9.5 - Prob. 2BGPCh. 9.5 - Prob. 2CGPCh. 9.5 - Prob. 3GPCh. 9.5 - Prob. 4GPCh. 9.5 - Prob. 1CYUCh. 9.5 - Prob. 2CYUCh. 9.5 - Prob. 3CYUCh. 9.5 - Prob. 4CYUCh. 9.5 - Prob. 5CYUCh. 9.5 - Prob. 6CYUCh. 9.5 - Prob. 7CYUCh. 9.5 - Prob. 8CYUCh. 9.5 - Prob. 9CYUCh. 9.5 - Prob. 10PPSCh. 9.5 - Prob. 11PPSCh. 9.5 - Prob. 12PPSCh. 9.5 - Prob. 13PPSCh. 9.5 - Prob. 14PPSCh. 9.5 - Prob. 15PPSCh. 9.5 - Prob. 16PPSCh. 9.5 - Prob. 17PPSCh. 9.5 - Prob. 18PPSCh. 9.5 - Prob. 19PPSCh. 9.5 - Prob. 20PPSCh. 9.5 - Prob. 21PPSCh. 9.5 - Prob. 22PPSCh. 9.5 - Prob. 23PPSCh. 9.5 - Prob. 24PPSCh. 9.5 - Prob. 25PPSCh. 9.5 - Prob. 26PPSCh. 9.5 - Prob. 27PPSCh. 9.5 - Prob. 28PPSCh. 9.5 - Prob. 29PPSCh. 9.5 - Prob. 30PPSCh. 9.5 - Prob. 31PPSCh. 9.5 - Prob. 32PPSCh. 9.5 - Prob. 33PPSCh. 9.5 - Prob. 34PPSCh. 9.5 - Prob. 35PPSCh. 9.5 - Prob. 36PPSCh. 9.5 - Prob. 37PPSCh. 9.5 - Prob. 38PPSCh. 9.5 - Prob. 39PPSCh. 9.5 - Prob. 40PPSCh. 9.5 - Prob. 41PPSCh. 9.5 - Prob. 42PPSCh. 9.5 - Prob. 43PPSCh. 9.5 - Prob. 44PPSCh. 9.5 - Prob. 45HPCh. 9.5 - Prob. 46HPCh. 9.5 - Prob. 47HPCh. 9.5 - Prob. 48HPCh. 9.5 - Prob. 49HPCh. 9.5 - Prob. 50STPCh. 9.5 - Prob. 51STPCh. 9.5 - Prob. 52STPCh. 9.5 - Prob. 53STPCh. 9.5 - Prob. 54SRCh. 9.5 - Prob. 55SRCh. 9.5 - Prob. 56SRCh. 9.5 - Prob. 57SRCh. 9.5 - Prob. 58SRCh. 9.5 - Prob. 59SRCh. 9.5 - Prob. 60SRCh. 9.5 - Prob. 61SCh. 9.5 - Prob. 62SCh. 9.5 - Prob. 63SCh. 9.6 - Prob. 1AGPCh. 9.6 - Prob. 1BGPCh. 9.6 - Prob. 1CGPCh. 9.6 - Prob. 2AGPCh. 9.6 - Prob. 2BGPCh. 9.6 - Prob. 2CGPCh. 9.6 - Prob. 3GPCh. 9.6 - Prob. 4GPCh. 9.6 - Prob. 1CYUCh. 9.6 - Prob. 2CYUCh. 9.6 - Prob. 3CYUCh. 9.6 - Prob. 4CYUCh. 9.6 - Prob. 5CYUCh. 9.6 - Prob. 6CYUCh. 9.6 - Prob. 7CYUCh. 9.6 - Prob. 8CYUCh. 9.6 - Prob. 9PPSCh. 9.6 - Prob. 10PPSCh. 9.6 - Prob. 11PPSCh. 9.6 - Prob. 12PPSCh. 9.6 - Prob. 13PPSCh. 9.6 - Prob. 14PPSCh. 9.6 - Prob. 15PPSCh. 9.6 - Prob. 16PPSCh. 9.6 - Prob. 17PPSCh. 9.6 - Prob. 18PPSCh. 9.6 - Prob. 19PPSCh. 9.6 - Prob. 20PPSCh. 9.6 - Prob. 21PPSCh. 9.6 - Prob. 22PPSCh. 9.6 - Prob. 23PPSCh. 9.6 - Prob. 24PPSCh. 9.6 - Prob. 25PPSCh. 9.6 - Prob. 26PPSCh. 9.6 - Prob. 27PPSCh. 9.6 - Prob. 28PPSCh. 9.6 - Prob. 29PPSCh. 9.6 - Prob. 30PPSCh. 9.6 - Prob. 31PPSCh. 9.6 - Prob. 32HPCh. 9.6 - Prob. 33HPCh. 9.6 - Prob. 34HPCh. 9.6 - Prob. 35HPCh. 9.6 - Prob. 36STPCh. 9.6 - Prob. 37STPCh. 9.6 - Prob. 38STPCh. 9.6 - Prob. 39STPCh. 9.6 - Prob. 40SRCh. 9.6 - Prob. 41SRCh. 9.6 - Prob. 42SRCh. 9.6 - Prob. 43SRCh. 9.6 - Prob. 44SRCh. 9.6 - Prob. 45SRCh. 9.6 - Prob. 46SRCh. 9.6 - Prob. 47SRCh. 9.6 - Prob. 48SCh. 9.6 - Prob. 49SCh. 9.6 - Prob. 50SCh. 9.7 - Prob. 1AGPCh. 9.7 - Prob. 1BGPCh. 9.7 - Prob. 2AGPCh. 9.7 - Prob. 2BGPCh. 9.7 - Prob. 3AGPCh. 9.7 - Prob. 3BGPCh. 9.7 - Prob. 4GPCh. 9.7 - Prob. 1CYUCh. 9.7 - Prob. 2CYUCh. 9.7 - Prob. 3CYUCh. 9.7 - Prob. 4CYUCh. 9.7 - Prob. 5CYUCh. 9.7 - Prob. 6CYUCh. 9.7 - Prob. 7CYUCh. 9.7 - Prob. 8PPSCh. 9.7 - Prob. 9PPSCh. 9.7 - Prob. 10PPSCh. 9.7 - Prob. 11PPSCh. 9.7 - Prob. 12PPSCh. 9.7 - Prob. 13PPSCh. 9.7 - Prob. 14PPSCh. 9.7 - Prob. 15PPSCh. 9.7 - Prob. 16PPSCh. 9.7 - Prob. 17PPSCh. 9.7 - Prob. 18PPSCh. 9.7 - Prob. 19PPSCh. 9.7 - Prob. 20PPSCh. 9.7 - Prob. 21PPSCh. 9.7 - Prob. 22PPSCh. 9.7 - Prob. 23PPSCh. 9.7 - Prob. 24PPSCh. 9.7 - Prob. 25PPSCh. 9.7 - Prob. 26PPSCh. 9.7 - Prob. 27PPSCh. 9.7 - Prob. 28PPSCh. 9.7 - Prob. 29HPCh. 9.7 - Prob. 30HPCh. 9.7 - Prob. 31HPCh. 9.7 - Prob. 32HPCh. 9.7 - Prob. 33HPCh. 9.7 - Prob. 34STPCh. 9.7 - Prob. 35STPCh. 9.7 - Prob. 36STPCh. 9.7 - Prob. 37STPCh. 9.7 - Prob. 38SRCh. 9.7 - Prob. 39SRCh. 9.7 - Prob. 40SRCh. 9.7 - Prob. 41SRCh. 9.7 - Prob. 42SRCh. 9.7 - Prob. 43SRCh. 9.7 - Prob. 44SRCh. 9.7 - Prob. 45SRCh. 9.7 - Prob. 46SRCh. 9.7 - Prob. 47SCh. 9.7 - Prob. 48SCh. 9.7 - Prob. 49SCh. 9.7 - Prob. 50SCh. 9.7 - Prob. 51SCh. 9.7 - Prob. 52SCh. 9.8 - Prob. 1GPCh. 9.8 - Prob. 2GPCh. 9.8 - Prob. 3GPCh. 9.8 - Prob. 1CYUCh. 9.8 - Prob. 2CYUCh. 9.8 - Prob. 3CYUCh. 9.8 - Prob. 4CYUCh. 9.8 - Prob. 5CYUCh. 9.8 - Prob. 6CYUCh. 9.8 - Prob. 7CYUCh. 9.8 - Prob. 8PPSCh. 9.8 - Prob. 9PPSCh. 9.8 - Prob. 10PPSCh. 9.8 - Prob. 11PPSCh. 9.8 - Prob. 12PPSCh. 9.8 - Prob. 13PPSCh. 9.8 - Prob. 14PPSCh. 9.8 - Prob. 15PPSCh. 9.8 - Prob. 16PPSCh. 9.8 - Prob. 17PPSCh. 9.8 - Prob. 18PPSCh. 9.8 - Prob. 19PPSCh. 9.8 - Prob. 21PPSCh. 9.8 - Prob. 22PPSCh. 9.8 - Prob. 23PPSCh. 9.8 - Prob. 24PPSCh. 9.8 - Prob. 25HPCh. 9.8 - Prob. 26HPCh. 9.8 - Prob. 27HPCh. 9.8 - Prob. 28HPCh. 9.8 - Prob. 29HPCh. 9.8 - Prob. 30STPCh. 9.8 - Prob. 31STPCh. 9.8 - Prob. 32STPCh. 9.8 - Prob. 33STPCh. 9.8 - Prob. 34SRCh. 9.8 - Prob. 35SRCh. 9.8 - Prob. 36SRCh. 9.8 - Prob. 37SRCh. 9.8 - Prob. 38SRCh. 9.8 - Prob. 39SRCh. 9.8 - Prob. 40SRCh. 9.8 - Prob. 41SRCh. 9.8 - Prob. 42SCh. 9.8 - Prob. 43SCh. 9.8 - Prob. 44SCh. 9.8 - Prob. 45SCh. 9.9 - Prob. 1AGPCh. 9.9 - Prob. 1BGPCh. 9.9 - Prob. 2GPCh. 9.9 - Prob. 3GPCh. 9.9 - Prob. 4GPCh. 9.9 - Prob. 1CYUCh. 9.9 - Prob. 2CYUCh. 9.9 - Prob. 3CYUCh. 9.9 - Prob. 4CYUCh. 9.9 - Prob. 5CYUCh. 9.9 - Prob. 6CYUCh. 9.9 - Prob. 7CYUCh. 9.9 - Prob. 8CYUCh. 9.9 - Prob. 9PPSCh. 9.9 - Prob. 10PPSCh. 9.9 - Prob. 11PPSCh. 9.9 - Prob. 12PPSCh. 9.9 - Prob. 13PPSCh. 9.9 - Prob. 14PPSCh. 9.9 - Prob. 15PPSCh. 9.9 - Prob. 16PPSCh. 9.9 - Prob. 17PPSCh. 9.9 - Prob. 18PPSCh. 9.9 - Prob. 19PPSCh. 9.9 - Prob. 20PPSCh. 9.9 - Prob. 21PPSCh. 9.9 - Prob. 22PPSCh. 9.9 - Prob. 23PPSCh. 9.9 - Prob. 24PPSCh. 9.9 - Prob. 25PPSCh. 9.9 - Prob. 26PPSCh. 9.9 - Prob. 27PPSCh. 9.9 - Prob. 28PPSCh. 9.9 - Prob. 29PPSCh. 9.9 - Prob. 30PPSCh. 9.9 - Prob. 31HPCh. 9.9 - Prob. 32HPCh. 9.9 - Prob. 33HPCh. 9.9 - Prob. 34HPCh. 9.9 - Prob. 35HPCh. 9.9 - Prob. 36STPCh. 9.9 - Prob. 37STPCh. 9.9 - Prob. 38STPCh. 9.9 - Prob. 39STPCh. 9.9 - Prob. 40SRCh. 9.9 - Prob. 41SRCh. 9.9 - Prob. 42SRCh. 9.9 - Prob. 43SRCh. 9.9 - Prob. 44SRCh. 9.9 - Prob. 45SRCh. 9.9 - Prob. 46SRCh. 9.9 - Prob. 47SCh. 9.9 - Prob. 48SCh. 9.9 - Prob. 49SCh. 9.9 - Prob. 50SCh. 9 - Prob. 1QCCh. 9 - Prob. 2QCCh. 9 - Prob. 3QCCh. 9 - Prob. 4QCCh. 9 - Prob. 5QCCh. 9 - Prob. 6QCCh. 9 - Prob. 7QCCh. 9 - Prob. 8QCCh. 9 - Prob. 9QCCh. 9 - Prob. 10QCCh. 9 - Prob. 11QCCh. 9 - Prob. 12QCCh. 9 - Prob. 13QCCh. 9 - Prob. 14QCCh. 9 - Prob. 15QCCh. 9 - Prob. 16QCCh. 9 - Prob. 17QCCh. 9 - Prob. 18QCCh. 9 - Prob. 19QCCh. 9 - Prob. 20QCCh. 9 - Prob. 21QCCh. 9 - Prob. 22QCCh. 9 - Prob. 23QCCh. 9 - Prob. 24QCCh. 9 - Prob. 25QCCh. 9 - Prob. 1MCQCh. 9 - Prob. 2MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Prob. 5MCQCh. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Prob. 11MCQCh. 9 - Prob. 12MCQCh. 9 - Prob. 13MCQCh. 9 - Prob. 14MCQCh. 9 - Prob. 15MCQCh. 9 - Prob. 16MCQCh. 9 - Prob. 17MCQCh. 9 - Prob. 18MCQCh. 9 - Prob. 19MCQCh. 9 - Prob. 20MCQCh. 9 - Prob. 21MCQCh. 9 - Prob. 22MCQCh. 9 - Prob. 23MCQCh. 9 - Prob. 24MCQCh. 9 - Prob. 25MCQCh. 9 - Prob. 26MCQCh. 9 - Prob. 27MCQCh. 9 - Prob. 28MCQCh. 9 - Prob. 29MCQCh. 9 - Prob. 30MCQCh. 9 - Prob. 31MCQCh. 9 - Prob. 32MCQCh. 9 - Prob. 33MCQCh. 9 - Prob. 1SGRCh. 9 - Prob. 2SGRCh. 9 - Prob. 3SGRCh. 9 - Prob. 4SGRCh. 9 - Prob. 5SGRCh. 9 - Prob. 6SGRCh. 9 - Prob. 7SGRCh. 9 - Prob. 8SGRCh. 9 - Prob. 9SGRCh. 9 - Prob. 10SGRCh. 9 - Prob. 11SGRCh. 9 - Prob. 12SGRCh. 9 - Prob. 13SGRCh. 9 - Prob. 14SGRCh. 9 - Prob. 15SGRCh. 9 - Prob. 16SGRCh. 9 - Prob. 17SGRCh. 9 - Prob. 18SGRCh. 9 - Prob. 19SGRCh. 9 - Prob. 20SGRCh. 9 - Prob. 21SGRCh. 9 - Prob. 22SGRCh. 9 - Prob. 23SGRCh. 9 - Prob. 24SGRCh. 9 - Prob. 25SGRCh. 9 - Prob. 26SGRCh. 9 - Prob. 27SGRCh. 9 - Prob. 28SGRCh. 9 - Prob. 29SGRCh. 9 - Prob. 30SGRCh. 9 - Prob. 31SGRCh. 9 - Prob. 32SGRCh. 9 - Prob. 33SGRCh. 9 - Prob. 34SGRCh. 9 - Prob. 35SGRCh. 9 - Prob. 36SGRCh. 9 - Prob. 37SGRCh. 9 - Prob. 38SGRCh. 9 - Prob. 39SGRCh. 9 - Prob. 40SGRCh. 9 - Prob. 41SGRCh. 9 - Prob. 42SGRCh. 9 - Prob. 43SGRCh. 9 - Prob. 44SGRCh. 9 - Prob. 45SGRCh. 9 - Prob. 46SGRCh. 9 - Prob. 47SGRCh. 9 - Prob. 48SGRCh. 9 - Prob. 49SGRCh. 9 - Prob. 50SGRCh. 9 - Prob. 51SGRCh. 9 - Prob. 52SGRCh. 9 - Prob. 53SGRCh. 9 - Prob. 54SGRCh. 9 - Prob. 55SGRCh. 9 - Prob. 56SGRCh. 9 - Prob. 57SGRCh. 9 - Prob. 58SGRCh. 9 - Prob. 59SGRCh. 9 - Prob. 60SGRCh. 9 - Prob. 61SGRCh. 9 - Prob. 62SGRCh. 9 - Prob. 63SGRCh. 9 - Prob. 64SGRCh. 9 - Prob. 65SGRCh. 9 - Prob. 66SGRCh. 9 - Prob. 67SGRCh. 9 - Prob. 68SGRCh. 9 - Prob. 69SGRCh. 9 - Prob. 70SGRCh. 9 - Prob. 71SGRCh. 9 - Prob. 72SGRCh. 9 - Prob. 73SGRCh. 9 - Prob. 74SGRCh. 9 - Prob. 75SGRCh. 9 - Prob. 76SGRCh. 9 - Prob. 77SGRCh. 9 - Prob. 78SGRCh. 9 - Prob. 79SGRCh. 9 - Prob. 80SGRCh. 9 - Prob. 81SGRCh. 9 - Prob. 82SGRCh. 9 - Prob. 83SGRCh. 9 - Prob. 1PTCh. 9 - Prob. 2PTCh. 9 - Prob. 3PTCh. 9 - Prob. 4PTCh. 9 - Prob. 5PTCh. 9 - Prob. 6PTCh. 9 - Prob. 7PTCh. 9 - Prob. 8PTCh. 9 - Prob. 9PTCh. 9 - Prob. 10PTCh. 9 - Prob. 11PTCh. 9 - Prob. 12PTCh. 9 - Prob. 13PTCh. 9 - Prob. 14PTCh. 9 - Prob. 15PTCh. 9 - Prob. 16PTCh. 9 - Prob. 17PTCh. 9 - Prob. 18PTCh. 9 - Prob. 19PTCh. 9 - Prob. 20PTCh. 9 - Prob. 21PTCh. 9 - Prob. 22PTCh. 9 - Prob. 23PTCh. 9 - Prob. 24PTCh. 9 - Prob. 25PTCh. 9 - Prob. 26PTCh. 9 - Prob. 27PTCh. 9 - Prob. 28PTCh. 9 - Prob. 29PTCh. 9 - Prob. 30PTCh. 9 - Prob. 31PTCh. 9 - Prob. 32PTCh. 9 - Prob. 33PTCh. 9 - Prob. 1ECh. 9 - Prob. 2ECh. 9 - Prob. 1STPCh. 9 - Prob. 2STPCh. 9 - Prob. 3STPCh. 9 - Prob. 4STPCh. 9 - Prob. 5STPCh. 9 - Prob. 6STPCh. 9 - Prob. 7STPCh. 9 - Prob. 8STPCh. 9 - Prob. 9STPCh. 9 - Prob. 10STPCh. 9 - Prob. 11STPCh. 9 - Prob. 12STPCh. 9 - Prob. 13STPCh. 9 - Prob. 14STP

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