Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 9.2, Problem 74STP

a.

To determine

Tofind: the constant k for this type of bacteria under ideal conditions.

a.

Expert Solution
Check Mark

Answer to Problem 74STP

The constant k for this type of bacteria under ideal conditions is 0.035 .

Explanation of Solution

Given information:

In this type of reproduction, one bacteria divides, forming two bacteria. Under ideal conditions, some bacteria reproduce every 20 minutes.

Calculation: to find the constant under ideal conditions, some bacteria reproduce every 20 minutes,

So the number of the bacteria represented by the expression Aekt .

Where A will be the initial amount, t will be the amount of time that has elapsed in minutes.

After 20 minutes, one bacteria divides into two bacterias,

  2=e20k20k=ln(2)        [take ln]k=ln(2)20                  [divide]k=0.035                [simpliy]

Thus, the constant is 0.035 .

b.

To determine

To find: the equation for modelling the exponential growth of the bacterium.

b.

Expert Solution
Check Mark

Answer to Problem 74STP

The equation for modelling the exponential growth of the bacterium is A=e(ln220)t .

Explanation of Solution

Given information:

In this type of reproduction, one bacteria divides, forming two bacteria. Under ideal conditions, some bacteria reproduce every 20 minutes.

Calculation: to find the constant under ideal conditions, some bacteria reproduce every 20 minutes,

So the number of the bacteria represented by the expression Aekt .

Where A will be the initial amount, t will be the amount of time that has elapsed in minutes.

So the equation can be represented as,

  A=e(ln220)t

Chapter 9 Solutions

Algebra 2

Ch. 9.1 - Prob. 5BCYPCh. 9.1 - Prob. 6ACYPCh. 9.1 - Prob. 6BCYPCh. 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. 12CYUCh. 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. 55PPSCh. 9.1 - Prob. 56PPSCh. 9.1 - Prob. 57PPSCh. 9.1 - Prob. 58PPSCh. 9.1 - Prob. 59HPCh. 9.1 - Prob. 60HPCh. 9.1 - Prob. 61HPCh. 9.1 - Prob. 62HPCh. 9.1 - Prob. 63HPCh. 9.1 - Prob. 64HPCh. 9.1 - Prob. 65HPCh. 9.1 - Prob. 66HPCh. 9.1 - Prob. 67HPCh. 9.1 - Prob. 68HPCh. 9.1 - Prob. 69HPCh. 9.1 - Prob. 70STPCh. 9.1 - Prob. 71STPCh. 9.1 - Prob. 72STPCh. 9.1 - Prob. 73STPCh. 9.1 - Prob. 74STPCh. 9.1 - Prob. 75STPCh. 9.1 - Prob. 76STPCh. 9.1 - Prob. 77STPCh. 9.1 - Prob. 78STPCh. 9.1 - Prob. 79STPCh. 9.1 - Prob. 80STPCh. 9.1 - Prob. 81SCh. 9.1 - Prob. 82SCh. 9.1 - Prob. 83SCh. 9.1 - Prob. 84SCh. 9.1 - Prob. 85SCh. 9.1 - Prob. 86SCh. 9.2 - Prob. 1ACYPCh. 9.2 - Prob. 1BCYPCh. 9.2 - Prob. 2ACYPCh. 9.2 - Prob. 2BCYPCh. 9.2 - Prob. 3ACYPCh. 9.2 - Prob. 3BCYPCh. 9.2 - Prob. 4ACYPCh. 9.2 - Prob. 4BCYPCh. 9.2 - Prob. 5ACYPCh. 9.2 - Prob. 5BCYPCh. 9.2 - Prob. 5CCYPCh. 9.2 - Prob. 5DCYPCh. 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. 8CYUCh. 9.2 - Prob. 9CYUCh. 9.2 - Prob. 10CYUCh. 9.2 - Prob. 11CYUCh. 9.2 - Prob. 12CYUCh. 9.2 - Prob. 13CYUCh. 9.2 - Prob. 14CYUCh. 9.2 - Prob. 15CYUCh. 9.2 - Prob. 16CYUCh. 9.2 - Prob. 17CYUCh. 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. 44PPSCh. 9.2 - Prob. 45PPSCh. 9.2 - 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Prob. 3ACYPCh. 9.3 - Prob. 3BCYPCh. 9.3 - Prob. 4CYPCh. 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. 7PPSCh. 9.3 - Prob. 8PPSCh. 9.3 - Prob. 9PPSCh. 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. 38HPCh. 9.3 - Prob. 39HPCh. 9.3 - Prob. 40HPCh. 9.3 - Prob. 41HPCh. 9.3 - Prob. 42HPCh. 9.3 - Prob. 43HPCh. 9.3 - Prob. 44HPCh. 9.3 - Prob. 45HPCh. 9.3 - Prob. 46HPCh. 9.3 - Prob. 47HPCh. 9.3 - Prob. 48STPCh. 9.3 - Prob. 49STPCh. 9.3 - Prob. 50STPCh. 9.3 - Prob. 51STPCh. 9.3 - Prob. 52STPCh. 9.3 - Prob. 53STPCh. 9.3 - Prob. 54STPCh. 9.3 - Prob. 55STPCh. 9.3 - Prob. 56STPCh. 9.3 - Prob. 57STPCh. 9.3 - Prob. 58STPCh. 9.3 - Prob. 59STPCh. 9.3 - Prob. 60SCh. 9.3 - Prob. 61SCh. 9.4 - Prob. 1ACYPCh. 9.4 - Prob. 1BCYPCh. 9.4 - Prob. 2CYPCh. 9.4 - Prob. 3ACYPCh. 9.4 - Prob. 3BCYPCh. 9.4 - Prob. 4ACYPCh. 9.4 - Prob. 4BCYPCh. 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. 8PPSCh. 9.4 - Prob. 9PPSCh. 9.4 - Prob. 10PPSCh. 9.4 - Prob. 11PPSCh. 9.4 - Prob. 12PPSCh. 9.4 - Prob. 13PPSCh. 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. 42HPCh. 9.4 - Prob. 43HPCh. 9.4 - Prob. 44HPCh. 9.4 - Prob. 45HPCh. 9.4 - Prob. 46HPCh. 9.4 - Prob. 47HPCh. 9.4 - Prob. 48HPCh. 9.4 - Prob. 49HPCh. 9.4 - Prob. 50HPCh. 9.4 - Prob. 51STPCh. 9.4 - Prob. 52STPCh. 9.4 - Prob. 53STPCh. 9.4 - Prob. 54STPCh. 9.4 - Prob. 55STPCh. 9.4 - Prob. 56STPCh. 9.4 - Prob. 57STPCh. 9.4 - Prob. 58STPCh. 9.4 - Prob. 59STPCh. 9.4 - Prob. 60STPCh. 9.4 - Prob. 61STPCh. 9.4 - Prob. 62SCh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.5 - Prob. 1CYPCh. 9.5 - Prob. 2CYPCh. 9.5 - Prob. 3CYPCh. 9.5 - Prob. 4CYPCh. 9.5 - Prob. 5CYPCh. 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. 7PPSCh. 9.5 - Prob. 8PPSCh. 9.5 - Prob. 9PPSCh. 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. 45PPSCh. 9.5 - Prob. 46PPSCh. 9.5 - Prob. 47PPSCh. 9.5 - Prob. 48HPCh. 9.5 - Prob. 49HPCh. 9.5 - Prob. 50HPCh. 9.5 - Prob. 51HPCh. 9.5 - Prob. 52HPCh. 9.5 - Prob. 53HPCh. 9.5 - Prob. 54HPCh. 9.5 - Prob. 55HPCh. 9.5 - Prob. 56HPCh. 9.5 - Prob. 57STPCh. 9.5 - Prob. 58STPCh. 9.5 - Prob. 59STPCh. 9.5 - Prob. 60STPCh. 9.5 - Prob. 61STPCh. 9.5 - Prob. 62STPCh. 9.5 - Prob. 63STPCh. 9.5 - Prob. 64STPCh. 9.5 - Prob. 65STPCh. 9.5 - Prob. 66STPCh. 9.5 - Prob. 67SCh. 9.5 - Prob. 68SCh. 9.5 - Prob. 69SCh. 9.5 - Prob. 70SCh. 9.5 - Prob. 71SCh. 9.5 - Prob. 72SCh. 9.6 - Prob. 1ACYPCh. 9.6 - Prob. 1BCYPCh. 9.6 - Prob. 2ACYPCh. 9.6 - Prob. 2BCYPCh. 9.6 - Prob. 2CCYPCh. 9.6 - Prob. 2DCYPCh. 9.6 - Prob. 3CYPCh. 9.6 - Prob. 4CYPCh. 9.6 - Prob. 5ACYPCh. 9.6 - Prob. 5BCYPCh. 9.6 - Prob. 6ACYPCh. 9.6 - Prob. 6BCYPCh. 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. 9CYUCh. 9.6 - Prob. 10CYUCh. 9.6 - Prob. 11CYUCh. 9.6 - Prob. 12CYUCh. 9.6 - Prob. 13CYUCh. 9.6 - Prob. 14CYUCh. 9.6 - Prob. 15CYUCh. 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. 32PPSCh. 9.6 - Prob. 33PPSCh. 9.6 - Prob. 34PPSCh. 9.6 - Prob. 35PPSCh. 9.6 - Prob. 36HPCh. 9.6 - Prob. 37HPCh. 9.6 - Prob. 38HPCh. 9.6 - Prob. 39HPCh. 9.6 - Prob. 40HPCh. 9.6 - Prob. 41HPCh. 9.6 - Prob. 42HPCh. 9.6 - Prob. 43HPCh. 9.6 - Prob. 44STPCh. 9.6 - Prob. 45STPCh. 9.6 - Prob. 46STPCh. 9.6 - Prob. 47STPCh. 9.6 - Prob. 48STPCh. 9.6 - Prob. 49STPCh. 9.6 - Prob. 50STPCh. 9.6 - Prob. 51STPCh. 9.6 - Prob. 52SCh. 9.6 - Prob. 53SCh. 9.6 - Prob. 54SCh. 9.6 - Prob. 1ECh. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 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. 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. 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. 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. 1ECh. 9 - Prob. 2ECh. 9 - Prob. 3ECh. 9 - Prob. 4ECh. 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. 14STPCh. 9 - Prob. 15STP
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