a.
To find:The intensity of human threshold pain of ear.
I=1 W/m2 and I=104 W/m2
Given information:
The human threshold for pain is 120 dB. Instant perforation of the eardrum occurs at 160 dB.
Concept Used:
Loudness =10logII0 , where I0=10−12 W/m2
Calculation:
Put Loundness is 120 dB into formula.
120=10logI10−12logI10−12=12I10−12=1012I=1 W/m2
Thus, the intensity is I=1 W/m2 .
Put Loundness is 160 dB into formula.
160=10logI10−12logI10−12=16I10−12=1016I=104 W/m2
Thus, the intensity is I=104 W/m2 .
b.
To compare:The intensity of human threshold pain of ear to the eardrum.
10000 times
Given information:
The human threshold for pain is 120 dB. Instant perforation of the eardrum occurs at 160 dB.
Concept Used:
Loudness =10logII0 , where I0=10−12 W/m2
Calculation:
Put Loundness is 120 dB into formula.
120=10logI10−12logI10−12=12I10−12=1012I=1 W/m2
Thus, the intensity is I=1 W/m2 .
Put Loundness is 160 dB into formula.
160=10logI10−12logI10−12=16I10−12=1016I=104 W/m2
Thus, the intensity is I=104 W/m2 .
The ratio of threshold intensity to eardrum perforation.
⇒104 1⇒10000
Thus, the intense of perforation of ear drum is 10000 times more than threshold.
Chapter 7 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Find The partial fraction decomposition for each The following 2× B) (x+3) a 3 6 X-3x+2x-6arrow_forward1) Find the partial feraction decomposition for each of 5- X 2 2x+x-1 The following: 3 B) 3 X + 3xarrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)} Find the domain and range of the inverse. Express your answer as a set of numbers.arrow_forward
- T={(−7,1),(1,−1),(6,−8),(2,8)}. Find the inverse. Express your answer as a set of ordered pairs.arrow_forward2.8.1arrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward
- Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00 how much is the cak worth to maryarrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward2. A microwave manufacturing firm has determined that their profit function is P(x)=-0.0014x+0.3x²+6x-355 , where is the number of microwaves sold annually. a. Graph the profit function using a calculator. b. Determine a reasonable viewing window for the function. c. Approximate all of the zeros of the function using the CALC menu of your calculator. d. What must be the range of microwaves sold in order for the firm to profit?arrow_forward
- A clothing manufacturer's profitability can be modeled by p (x)=-x4 + 40x² - 144, where .x is the number of items sold in thousands and p (x) is the company's profit in thousands of dollars. a. Sketch the function on your calculator and describe the end behavior. b. Determine the zeros of the function. c. Between what two values should the company sell in order to be profitable? d. Explain why only two of the zeros are considered in part c.arrow_forwardCCSS REASONING The number of subscribers using pagers in the United States can be modeled by f(x) = 0.015x4 -0.44x³ +3.46x² - 2.7x+9.68 where x is the number of years after 1990 and f(x) is the number of subscribers in millions. a. Graph the function. b. Describe the end behavior of the graph. c. What does the end behavior suggest about the number of pager subscribers? d. Will this trend continue indefinitely? Explain your reasoning.arrow_forwardCan you help me solve this?arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





