Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Chapter 12.7, Problem 8P
To determine

To calculate: The radius of the lens for an exposure time of 0.0025 s , if the lens of radius 1 cm is taking 0.01 s of exposure time , also given the exposure time needed for a photograph is inversely proportional to the square of the radius of the camera lens.

Expert Solution & Answer
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Answer to Problem 8P

The radius of the lens is r=2cm

Explanation of Solution

Given information:

The exposure time needed for a photograph is inversely proportional to the square of the radius of the camera lens.

Let, r is the radius of the lens

t is the exposure time

So t1r2

Let k be a constant

  t=kr2.............. (1)

Put the value of t and r in equation 1 to get the value of k .

  0.01s=k(1)2

Solve further to get k ,

  k=0.01

Now, put the value of t and k in equation 1 to get r ..

  t=kr2

  0.0025s=0.01r2

  r2=0.010.0025

  r=0.010.0025

After solving,

  r=1100×1000025

  r=4

  r=2cm

Chapter 12 Solutions

Algebra: Structure And Method, Book 1

Ch. 12.1 - Prob. 2WECh. 12.1 - Prob. 3WECh. 12.1 - Prob. 4WECh. 12.1 - Prob. 5WECh. 12.1 - Prob. 6WECh. 12.1 - Prob. 7WECh. 12.1 - Prob. 8WECh. 12.1 - Prob. 9WECh. 12.1 - Prob. 10WECh. 12.1 - Prob. 11WECh. 12.1 - Prob. 12WECh. 12.1 - Prob. 13WECh. 12.1 - Prob. 14WECh. 12.1 - Prob. 15WECh. 12.1 - Prob. 16WECh. 12.1 - Prob. 17WECh. 12.1 - Prob. 18WECh. 12.1 - Prob. 19WECh. 12.1 - Prob. 20WECh. 12.1 - Prob. 21WECh. 12.1 - Prob. 22WECh. 12.1 - Prob. 23WECh. 12.1 - Prob. 24WECh. 12.1 - Prob. 25WECh. 12.1 - Prob. 26WECh. 12.1 - Prob. 27WECh. 12.1 - Prob. 28WECh. 12.1 - Prob. 29WECh. 12.1 - Prob. 30WECh. 12.1 - Prob. 31WECh. 12.1 - Prob. 32WECh. 12.1 - Prob. 33WECh. 12.1 - Prob. 34WECh. 12.1 - Prob. 35WECh. 12.1 - Prob. 36WECh. 12.1 - Prob. 37WECh. 12.1 - Prob. 38WECh. 12.1 - Prob. 39WECh. 12.1 - Prob. 40WECh. 12.1 - Prob. 41WECh. 12.1 - Prob. 42WECh. 12.1 - Prob. 43WECh. 12.1 - Prob. 44WECh. 12.1 - Prob. 45WECh. 12.1 - Prob. 46WECh. 12.1 - Prob. 47WECh. 12.1 - Prob. 48WECh. 12.1 - Prob. 49WECh. 12.1 - Prob. 1MRECh. 12.1 - Prob. 2MRECh. 12.1 - Prob. 3MRECh. 12.1 - Prob. 4MRECh. 12.1 - Prob. 5MRECh. 12.1 - Prob. 6MRECh. 12.1 - Prob. 7MRECh. 12.1 - Prob. 8MRECh. 12.2 - Prob. 1OECh. 12.2 - Prob. 2OECh. 12.2 - Prob. 3OECh. 12.2 - Prob. 4OECh. 12.2 - Prob. 5OECh. 12.2 - Prob. 6OECh. 12.2 - Prob. 1WECh. 12.2 - Prob. 2WECh. 12.2 - Prob. 3WECh. 12.2 - Prob. 4WECh. 12.2 - Prob. 5WECh. 12.2 - Prob. 6WECh. 12.2 - Prob. 7WECh. 12.2 - Prob. 8WECh. 12.2 - Prob. 9WECh. 12.2 - Prob. 10WECh. 12.2 - Prob. 11WECh. 12.2 - Prob. 12WECh. 12.2 - Prob. 13WECh. 12.2 - Prob. 14WECh. 12.2 - Prob. 15WECh. 12.2 - Prob. 16WECh. 12.2 - Prob. 17WECh. 12.2 - Prob. 18WECh. 12.2 - Prob. 19WECh. 12.2 - Prob. 20WECh. 12.2 - Prob. 21WECh. 12.2 - Prob. 22WECh. 12.2 - Prob. 23WECh. 12.2 - Prob. 24WECh. 12.2 - Prob. 25WECh. 12.2 - Prob. 26WECh. 12.2 - Prob. 27WECh. 12.2 - Prob. 28WECh. 12.2 - Prob. 29WECh. 12.2 - Prob. 30WECh. 12.2 - Prob. 1MRECh. 12.2 - Prob. 2MRECh. 12.2 - Prob. 3MRECh. 12.2 - Prob. 4MRECh. 12.2 - Prob. 5MRECh. 12.2 - 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Prob. 5PCh. 12.6 - Prob. 6PCh. 12.6 - Prob. 7PCh. 12.6 - Prob. 8PCh. 12.6 - Prob. 9PCh. 12.6 - Prob. 10PCh. 12.6 - Prob. 11PCh. 12.6 - Prob. 12PCh. 12.6 - Prob. 13PCh. 12.6 - Prob. 14PCh. 12.6 - Prob. 15PCh. 12.6 - Prob. 1MRECh. 12.6 - Prob. 2MRECh. 12.6 - Prob. 3MRECh. 12.6 - Prob. 4MRECh. 12.6 - Prob. 5MRECh. 12.6 - Prob. 6MRECh. 12.6 - Prob. 7MRECh. 12.6 - Prob. 8MRECh. 12.6 - Prob. 9MRECh. 12.6 - Prob. 1ECh. 12.6 - Prob. 2ECh. 12.6 - Prob. 3ECh. 12.6 - Prob. 4ECh. 12.6 - Prob. 5ECh. 12.6 - Prob. 6ECh. 12.6 - Prob. 7ECh. 12.6 - Prob. 8ECh. 12.6 - Prob. 9ECh. 12.6 - Prob. 1STCh. 12.6 - Prob. 2STCh. 12.6 - Prob. 3STCh. 12.6 - Prob. 4STCh. 12.6 - Prob. 5STCh. 12.6 - Prob. 6STCh. 12.6 - Prob. 1.1ECh. 12.6 - Prob. 1.2ECh. 12.6 - Prob. 1.3ECh. 12.6 - Prob. 1.4ECh. 12.6 - Prob. 1.5ECh. 12.7 - Prob. 1OECh. 12.7 - Prob. 2OECh. 12.7 - Prob. 3OECh. 12.7 - Prob. 4OECh. 12.7 - Prob. 5OECh. 12.7 - Prob. 6OECh. 12.7 - Prob. 1PCh. 12.7 - Prob. 2PCh. 12.7 - Prob. 3PCh. 12.7 - Prob. 4PCh. 12.7 - Prob. 5PCh. 12.7 - Prob. 6PCh. 12.7 - Prob. 7PCh. 12.7 - Prob. 8PCh. 12.7 - Prob. 9PCh. 12.7 - Prob. 10PCh. 12.7 - Prob. 11PCh. 12.7 - Prob. 12PCh. 12.7 - Prob. 1MRECh. 12.7 - Prob. 2MRECh. 12.7 - Prob. 3MRECh. 12.7 - Prob. 4MRECh. 12.7 - Prob. 5MRECh. 12.7 - Prob. 6MRECh. 12.7 - Prob. 7MRECh. 12.7 - Prob. 8MRECh. 12.7 - Prob. 9MRECh. 12.7 - Prob. 10MRECh. 12.7 - Prob. 11MRECh. 12.7 - Prob. 12MRECh. 12.8 - Prob. 1OECh. 12.8 - Prob. 2OECh. 12.8 - Prob. 3OECh. 12.8 - Prob. 4OECh. 12.8 - Prob. 5OECh. 12.8 - Prob. 6OECh. 12.8 - Prob. 7OECh. 12.8 - Prob. 8OECh. 12.8 - Prob. 9OECh. 12.8 - Prob. 10OECh. 12.8 - Prob. 11OECh. 12.8 - Prob. 12OECh. 12.8 - Prob. 13OECh. 12.8 - Prob. 14OECh. 12.8 - Prob. 1WECh. 12.8 - Prob. 2WECh. 12.8 - Prob. 3WECh. 12.8 - Prob. 4WECh. 12.8 - Prob. 5WECh. 12.8 - Prob. 6WECh. 12.8 - Prob. 7WECh. 12.8 - Prob. 8WECh. 12.8 - Prob. 9WECh. 12.8 - Prob. 10WECh. 12.8 - Prob. 1PCh. 12.8 - Prob. 2PCh. 12.8 - Prob. 3PCh. 12.8 - Prob. 4PCh. 12.8 - Prob. 5PCh. 12.8 - Prob. 6PCh. 12.8 - Prob. 7PCh. 12.8 - Prob. 8PCh. 12.8 - Prob. 9PCh. 12.8 - Prob. 10PCh. 12.8 - Prob. 11PCh. 12.8 - Prob. 12PCh. 12.8 - Prob. 13PCh. 12.8 - Prob. 14PCh. 12.8 - Prob. 1MRECh. 12.8 - Prob. 2MRECh. 12.8 - Prob. 3MRECh. 12.8 - Prob. 4MRECh. 12.8 - Prob. 5MRECh. 12.8 - Prob. 6MRECh. 12.8 - Prob. 7MRECh. 12.8 - Prob. 8MRECh. 12.8 - Prob. 9MRECh. 12.8 - Prob. 10MRECh. 12.8 - Prob. 11MRECh. 12.8 - Prob. 12MRECh. 12.8 - Prob. 1ECh. 12.8 - Prob. 2ECh. 12.8 - Prob. 3ECh. 12.8 - Prob. 4ECh. 12.8 - Prob. 5ECh. 12.8 - Prob. 1STCh. 12.8 - Prob. 2STCh. 12 - Prob. 1CRCh. 12 - Prob. 2CRCh. 12 - Prob. 3CRCh. 12 - Prob. 4CRCh. 12 - Prob. 5CRCh. 12 - Prob. 6CRCh. 12 - Prob. 7CRCh. 12 - Prob. 8CRCh. 12 - Prob. 9CRCh. 12 - Prob. 10CRCh. 12 - Prob. 11CRCh. 12 - Prob. 12CRCh. 12 - Prob. 1CTCh. 12 - Prob. 2CTCh. 12 - Prob. 3CTCh. 12 - Prob. 4CTCh. 12 - Prob. 5CTCh. 12 - Prob. 6CTCh. 12 - Prob. 7CTCh. 12 - Prob. 8CTCh. 12 - Prob. 9CTCh. 12 - Prob. 10CTCh. 12 - Prob. 11CTCh. 12 - Prob. 12CTCh. 12 - Prob. 13CTCh. 12 - Prob. 1CLRCh. 12 - 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