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
Valentin [98]
2 years ago
10

One of the loudest sounds in recent history was that made by the explosion of Krakatoa on August 26-27, 1883. According to barom

etric measurements, the sound had a decibel level of 180 dB at a distance of 161 km. Assuming the intensity falls off as the inverse of the distance squared, what was the decibel level on Rodriguez Island, 4,800 km away?
Mathematics
1 answer:
liraira [26]2 years ago
8 0

Answer:

150.51 dB

Step-by-step explanation:

Data provided in the question:

decibel level of sound at 161 km distance = 180 dB

d₁ = 161 km

d₂ = 4800 km

I₁ = 180 db

The formula for intensity of sound is given as:

I = 10\log(\frac{I_2}{I_1})

and the relation between intensity and distance is given as:

I ∝ \frac{1}{d^2}

or

Id² = constant

thus,

I₁d₁² = I₂d₂²

or

\frac{I_2}{I_1}=\frac{d_1}{d_2}

therefore,

I = 10\log(\frac{d_1}{d_2})^2

or

I = 10\times2\times\log(\frac{161}{4,800})

or

I = 20 × (-1.474)

or

I = -29.49

Therefore,

the decibel level on Rodriguez Island, 4,800 km away

= 180 - 29.49

= 150.51 dB

You might be interested in
Which expression is equivalent to (8x^3)^2/3
VARVARA [1.3K]

Answer: 64x^6/3

Step-by-step explanation:

(8x^3)^2/3

8^2(x^3)^3/3

64(x^3)^3/3

64x^6/3

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

4 0
3 years ago
What is the slope of 6x-3y=18??
dolphi86 [110]
the \ slope \ intercept \ form \ is : \\  \\ y= mx +b \\ \\6x-3y=18 \\ \\-3y=-6x+18 \ \ /:(-3)\\ \\y=\frac{-6}{-3}x + \frac{18}{-3} \\ \\y=2x-6 \\ \\ m = 2
6 0
3 years ago
What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title=" \frac{3}{5} " alt=" \frac{3}
Ilia_Sergeevich [38]

Answer:

9

Step-by-step explanation:

3/5 * 15

Rewriting as

3 * 15/5

3 * 3

9

3 0
2 years ago
Read 2 more answers
The sum of two numbers is at most 12, and the sum of 3 times the first number and 8 times the second number is at least 48 selec
Sever21 [200]

Answer:

(4,8)

Step-by-step explanation:

4 + 8 = 12

3(4) + 8(8)

= 12 + 64

= 76

6 0
2 years ago
Hellpmeh i kinda get it
RoseWind [281]

Answer:

1/2 or 50%

Step-by-step explanation:

5 are lower than 60

and 5 are =/> 60

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer too 6+3=x-8?
    8·1 answer
  • How do you graph -y &lt;= 3x
    5·2 answers
  • 1\(x^2-2x-3=6/x+4 solve problem with steps
    12·1 answer
  • A sphere has a diameter of 24 units. What is its volume in cubic units?
    7·2 answers
  • The time between a lightning flash and the following thunderclap may be used to estimate, in kilometers,
    11·1 answer
  • Please answer asap
    9·2 answers
  • What is (7z-5)-(3x-2) equivalent to ?
    11·1 answer
  • A jar contains 8 red marbles numbered 1 to 8 and 12 blue marbles numbered 1 to 12. It alse has 5 white marbles numbered 100, 200
    8·1 answer
  • PLS HELP W ANGLE OF ISOLATION ILL GIVE BRAINLIEST I NEED ANSWER WITHIN 5 MINS
    14·2 answers
  • Given the linear function of 3x-7y=14, determine the ordered pair where the line crosses the y axis. Remember to write your answ
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!