/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 101 聽Optics If a single pane of gla... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 101 (page 285)

Optics If a single pane of glass obliterates 3% of the light passing through it, the percent p of light that passes through n successive panes is given approximately by the function

p(n)=100(0.97)n

(a) What percent of light will pass through 10 panes?
(b) What percent of light will pass through 25 panes?

Short Answer

Expert verified

(a) 73.74%

(b)46.69%

Step by step solution

01

Step 1.Giveninformation

Let us consider a pane which blocks3% of the light.
This means that the light passing through the pane is97% of the actual.
Thus the percentage of light that passes through n panes

p(n)=100(0.97)n

02

Step 2.(a) What percent of light will pass through 10 panes? 

Let us consider 10 panes.
Therefore light passing through 10 panes will be

p(10)=100(0.97)10=100(0.7374)=73.74%

03

Step 3. (b) What percent of light will pass through 25 panes? 

Let us consider 25 panes
Therefore light passing through 25 panes will be

p(25)=100(0.97)25=100(0.4669)=46.69%

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In Problems 61鈥�72, the function f is one-to-one. Find its inverse and check your answer.

f(x)=23+x

Solve the equation2-x=16

and verify your results using a graphing utility

Find the inverse of the linear functionf(x)=mx+bm鈮�0

solve each equation. Verify your results using a graphing utility.

5x2+8=1252x

Use the graph of y=f(x)given in the Problem 43to evaluate the following:

(a) f(-1)

(b) f(1)

(c) f-1(1)

(d) f-1(2)
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.