1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
egoroff_w [7]
3 years ago
7

The loudness, L, of a sound (measured in decibels, dB) is inversely proportional to the square of the distance, d, from

Mathematics
2 answers:
mestny [16]3 years ago
6 0

Answer:

Step-by-step explanation:

If two variables are inversely proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.

Given that loudness, L varies inversely with the square of the distance, d², if we introduce a constant of proportionality, k, the expression becomes

L = k/d²

If L = 60 when d = 8, then

60 = k/8² = k/64

k = 60 × 64 = 3840

Therefore, the inverse variation equation is

L = 3840/d²

When d = 41, then

L = 3840/41²

L = 2.28 decibels

kifflom [539]3 years ago
3 0

Answer:

The jetski is 2.28 dB loud when the person is 41 feet away.

Step-by-step explanation:

Loudness (L) ∝ 1 / Distance² (d²)

Introduce a constant 'K'

L = K (1/d²)

L = K/d²

K = Ld²

Find the K from a previously known information: If a person 8 feet from a jetski hears 60 decibels loud

∴ d = 8 ft , L = 60 db

K = 60(8²) = <em>3840</em>

How loud is the jetski when the person is 41 feet away?

Distance is now 41 ft

since: L = K/d²

∴ L = 3840 / 41²

L = 3840 / 1681

L = 2.28 db

You might be interested in
Find two consecutive integers whose sum is 901.
aleksandr82 [10.1K]

the answer is :

x+1 and x+2

6 0
3 years ago
Read 2 more answers
23. What is the equation of the line that contains the points (2, 1) and (-1, -8)?
Sauron [17]
I'm guessing this is a slope problem, so the equation would be like this: y = mx + b where m is the slope and b is the y-intercept.

m =  \frac{y1 - y2}{x1 - x2}
Using this,
m =  \frac{1  + 8}{2  + 1}  =  \frac{9}{3}
Which is equal to,
m = 3
6 0
4 years ago
Is the negative square root of 9 rational or irrational ​
Nana76 [90]

Answer:

Rational

Step-by-step explanation:

-9 is rational because 9 is a perfect square and all perfect squares are rational.

6 0
3 years ago
Please help and explain why you got it right please
gtnhenbr [62]

Answer:

y+7 = -3 ( x-4)

Step-by-step explanation:

First find two points on the graph to find the slope

( 1,2) and ( 3,-4)

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( -4-2)/(3-1)

    = -6/2

    =-3

We can use the point slope form

y - y1 = m(x-x1)  where m is the slope and x1,y1 is a point on the line

We have two choices with a slope of -3

We can either use and x coordinate of -2 or 4

for  -2, the y coordinate is not shown

for 4 , the y coordinate is -7

Using ( 4, -7) and m = -3

y--7 = -3( x- 4)

y+7 = -3 ( x-4)

4 0
3 years ago
Read 2 more answers
Can any one help me pls I'm not good at math:(<br>the graph of a function is shown on the grid​
melamori03 [73]

Answer:

D is the correct answer

Step-by-step explanation:

The coordinates of the x axis is always listed first.

On the x axis the line was less than one and more than zero leaving the fraction as the only option.

hope it helps

have a great day

:)

6 0
3 years ago
Other questions:
  • A recipe for 24 cookies calls for 6 tablespoons of sugar. Which of the amounts below would be a correct ratio of cookies to suga
    10·2 answers
  • Please help ASAP I have no clue how to do this​
    8·1 answer
  • SOMEONE PLZZZ HELP ME THIS IS DUE IN 5 MIN AND IM SO CONFUSED AND NO ONE WILL HELP ME PLZZ HELP!!!!!I WILL GIVE BRAINLEST!!!!!
    7·2 answers
  • State how many tens there are in 5463 than in 3746?
    13·2 answers
  • In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean
    13·1 answer
  • The data set represents the total number of people who bought bananas each hour at a grocery store.
    14·2 answers
  • Which set of measurements could be the side lengths of a triangle?
    6·1 answer
  • What is the slope of the line represented by the equation y = = 4x+12<br> 2<br> N/P
    14·1 answer
  • 44444444444444 help me ples
    12·1 answer
  • The product of 1/2 and 2/15 is a/an ________________.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!