Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
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Expert Solution & Answer
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Chapter 3.6, Problem 57PS
Solution

To calculate: How long it will take for the entire candle to burn if its radius is 0.875 inch, its initial height is 6.5 inches, and k=0.04 .

A burning candle has a radius of r inches and was initially h0 inches tall. After t minutes, the height of the candle has been reduced to h inches.

These quantity are related by formula r=ktπh0h .

The candle will take about 391 minutes to burn entirely.

Given information:

The equation is r=ktπh0hrepresenting the relation between the quantities.

Radius r of the candle is 0.875 inch, its initial height h0 is 6.5 inches, and k=0.04 .

The value of h will be 0 as the entire candle is burned.

Formula used:

Raise each side of the equation to the same power.

Calculation:

Write the original equation:

  r=ktπh0h

Substitute the values of h0,r,h,andk into the equation,

  0.875=0.04tπ6.500.875=0.04t6.5π

Square both sides of the equation,

  0.8752=0.04t6.5π20.8752=0.04t6.5πt=0.87526.5π0.04t391

Therefore, the entire candle will be burned in about 391 minutes.

Chapter 3 Solutions

Holt Mcdougal Larson Algebra 2: Student Edition 2012

Ch. 3.1 - Prob. 11GPCh. 3.1 - Prob. 12GPCh. 3.1 - Prob. 13GPCh. 3.1 - Prob. 14GPCh. 3.1 - Prob. 15GPCh. 3.1 - Prob. 16GPCh. 3.1 - Prob. 17GPCh. 3.1 - Prob. 18GPCh. 3.1 - Prob. 19GPCh. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - 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Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43PSCh. 3.3 - Prob. 44PSCh. 3.3 - Prob. 45PSCh. 3.3 - Prob. 46PSCh. 3.3 - Prob. 47PSCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 1MRPSCh. 3.3 - Prob. 2MRPSCh. 3.3 - Prob. 3MRPSCh. 3.3 - Prob. 4MRPSCh. 3.3 - Prob. 5MRPSCh. 3.3 - Prob. 6MRPSCh. 3.3 - Prob. 7MRPSCh. 3.3 - Prob. 1DCCh. 3.3 - Prob. 2DCCh. 3.3 - Prob. 3DCCh. 3.4 - Prob. 1GPCh. 3.4 - Prob. 2GPCh. 3.4 - Prob. 3GPCh. 3.4 - Prob. 4GPCh. 3.4 - Prob. 5GPCh. 3.4 - Prob. 6GPCh. 3.4 - Prob. 7GPCh. 3.4 - Prob. 8GPCh. 3.4 - Prob. 9GPCh. 3.4 - Prob. 10GPCh. 3.4 - Prob. 11GPCh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46PSCh. 3.4 - Prob. 47PSCh. 3.4 - Prob. 48PSCh. 3.4 - Prob. 49PSCh. 3.4 - Prob. 50PSCh. 3.4 - Prob. 51PSCh. 3.4 - Prob. 1QCh. 3.4 - Prob. 2QCh. 3.4 - Prob. 3QCh. 3.4 - Prob. 4QCh. 3.4 - Prob. 5QCh. 3.4 - Prob. 6QCh. 3.4 - Prob. 7QCh. 3.4 - Prob. 8QCh. 3.4 - Prob. 9QCh. 3.4 - Prob. 10QCh. 3.4 - Prob. 11QCh. 3.4 - Prob. 12QCh. 3.4 - Prob. 13QCh. 3.4 - Prob. 14QCh. 3.4 - Prob. 15QCh. 3.4 - Prob. 16QCh. 3.4 - Prob. 17QCh. 3.4 - Prob. 18QCh. 3.4 - Prob. 19QCh. 3.5 - Prob. 1GPCh. 3.5 - Prob. 2GPCh. 3.5 - Prob. 3GPCh. 3.5 - Prob. 4GPCh. 3.5 - Prob. 5GPCh. 3.5 - Prob. 6GPCh. 3.5 - Prob. 7GPCh. 3.5 - Prob. 8GPCh. 3.5 - Prob. 9GPCh. 3.5 - Prob. 10GPCh. 3.5 - Prob. 11GPCh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.5 - Prob. 9ECh. 3.5 - Prob. 10ECh. 3.5 - Prob. 11ECh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35PSCh. 3.5 - Prob. 36PSCh. 3.5 - Prob. 37PSCh. 3.5 - Prob. 38PSCh. 3.5 - Prob. 39PSCh. 3.5 - Prob. 40PSCh. 3.6 - Prob. 1GPCh. 3.6 - Prob. 2GPCh. 3.6 - Prob. 3GPCh. 3.6 - Prob. 4GPCh. 3.6 - Prob. 5GPCh. 3.6 - Prob. 6GPCh. 3.6 - Prob. 7GPCh. 3.6 - Prob. 8GPCh. 3.6 - Prob. 9GPCh. 3.6 - Prob. 10GPCh. 3.6 - Prob. 11GPCh. 3.6 - Prob. 12GPCh. 3.6 - Prob. 13GPCh. 3.6 - Prob. 14GPCh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Prob. 22ECh. 3.6 - Prob. 23ECh. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3.6 - Prob. 33ECh. 3.6 - Prob. 34ECh. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - Prob. 38ECh. 3.6 - Prob. 39ECh. 3.6 - Prob. 40ECh. 3.6 - Prob. 41ECh. 3.6 - Prob. 42ECh. 3.6 - Prob. 43ECh. 3.6 - Prob. 44ECh. 3.6 - Prob. 45ECh. 3.6 - Prob. 46ECh. 3.6 - Prob. 47ECh. 3.6 - Prob. 48ECh. 3.6 - Prob. 49ECh. 3.6 - Prob. 50ECh. 3.6 - Prob. 51ECh. 3.6 - Prob. 52ECh. 3.6 - Prob. 53ECh. 3.6 - Prob. 54ECh. 3.6 - Prob. 55ECh. 3.6 - Prob. 56PSCh. 3.6 - Prob. 57PSCh. 3.6 - Prob. 58PSCh. 3.6 - Prob. 59PSCh. 3.6 - Prob. 60PSCh. 3.6 - Prob. 61PSCh. 3.6 - Prob. 62PSCh. 3.6 - Prob. 1QCh. 3.6 - Prob. 2QCh. 3.6 - Prob. 3QCh. 3.6 - Prob. 4QCh. 3.6 - Prob. 5QCh. 3.6 - Prob. 6QCh. 3.6 - Prob. 7QCh. 3.6 - Prob. 8QCh. 3.6 - Prob. 9QCh. 3.6 - Prob. 10QCh. 3.6 - Prob. 11QCh. 3.6 - Prob. 12QCh. 3.6 - Prob. 13QCh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.6 - Prob. 6PCh. 3.6 - Prob. 7PCh. 3.6 - Prob. 1.1PCh. 3.6 - Prob. 1.2PCh. 3.6 - Prob. 1.3PCh. 3.6 - Prob. 1.4PCh. 3.6 - Prob. 1.5PCh. 3.6 - Prob. 1.6PCh. 3.6 - Prob. 1.7PCh. 3.6 - Prob. 1.8PCh. 3.6 - Prob. 1.9PCh. 3.6 - Prob. 1.10PCh. 3.6 - Prob. 1.11PCh. 3.6 - Prob. 1.12PCh. 3.6 - Prob. 1.13PCh. 3.6 - Prob. 1MRPSCh. 3.6 - Prob. 2MRPSCh. 3.6 - Prob. 3MRPSCh. 3.6 - Prob. 4MRPSCh. 3.6 - Prob. 5MRPSCh. 3.6 - Prob. 6MRPSCh. 3.6 - Prob. 7MRPSCh. 3.6 - Prob. 8MRPSCh. 3.6 - Prob. 9MRPSCh. 3 - Prob. 1VECh. 3 - Prob. 2VECh. 3 - Prob. 3VECh. 3 - Prob. 4VECh. 3 - Prob. 5VECh. 3 - Prob. 6VECh. 3 - Prob. 7VECh. 3 - Prob. 8REAECh. 3 - Prob. 9REAECh. 3 - Prob. 10REAECh. 3 - Prob. 11REAECh. 3 - Prob. 12REAECh. 3 - Prob. 13REAECh. 3 - 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Prob. 38TCh. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 1TPCh. 3 - Prob. 2TPCh. 3 - Prob. 3TPCh. 3 - Prob. 4TPCh. 3 - Prob. 5TPCh. 3 - Prob. 6TPCh. 3 - Prob. 7TPCh. 3 - Prob. 8TPCh. 3 - Prob. 9TPCh. 3 - Prob. 10TPCh. 3 - Prob. 11TPCh. 3 - Prob. 12TPCh. 3 - Prob. 13TPCh. 3 - Prob. 14TPCh. 3 - Prob. 15TPCh. 3 - Prob. 16TPCh. 3 - Prob. 17TPCh. 3 - Prob. 18TPCh. 3 - Prob. 19TPCh. 3 - Prob. 20TP
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