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]
3 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]3 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
Halp Exam <br><br> Converting a decimal to a proper fraction in simplest form: Advanced
jeyben [28]

Answer:

0.37 as a fraction is 37/100

Step-by-step explanation:

Because

7 0
2 years ago
The table on the left and the equation below represent
olasank [31]

Answer:

There isn't enough information

Step-by-step explanation:

In the table, on the side with a we can see that there is not one with 6 as a possible term. Therefore, we cannot find the term for b or c since you need both a and c to find b.

3 0
2 years ago
Which is the graph of f(x) = -3√x?<br>pls answer quickly​
k0ka [10]

Answer: the graph farthest to the right is almost correct. If you substitute values for x in the function f(x)= -3√x , the output does not match the curve on the graphs shown.

If you have a choice that includes only a curve to the right of the y- axis, that would be better.

Step-by-step explanation: Square roots of Negative x-values will result in imaginary numbers. Otherwise the graph with the curve passing through coordinates (1,-3) (4,-6) and (9,-9) is a good choice.

(And ask your teacher about the square root of negative numbers on this graph.)

4 0
2 years ago
What is the solution to the equation?
stiv31 [10]

Answer:

x = - 71

Step-by-step explanation:

x - 12 = - 83

+12          +12  (adding 12 to both sides)

x = - 71

7 0
2 years ago
Please help me with this very hard question. Determine if each pair of expressions is equivalent. Mark all equivalent expression
Shalnov [3]
It’s the 3rd one hopefully that helps you
7 0
2 years ago
Other questions:
  • Justin's hair is 314314 inches long. How long will it be in 22 months if it grows 1212 inch each month? Which method will NOT gi
    7·1 answer
  • Evaluate the function, find f(-2):<br>f(x) = 2x² + 3x​
    7·1 answer
  • Your bank account has a balance of $45.24.this is $51.35 more than yesterday. What was your account balance yesterday?
    6·2 answers
  • One hour is equal to how many seconds
    7·1 answer
  • given that y^2=3x+C is a general solution to the differential equation y’-(3x/y)=0, what is a particular solution determined by
    5·1 answer
  • Find the value of a.
    9·1 answer
  • 2. Destiny rents games from a company that charges a $9.00 monthly fee and $2.50 for each game rental. She ends up paying $26.50
    9·1 answer
  • What is the degree of the polynomial 3x^2+4-2x^5
    10·1 answer
  • 6(2a + b) + b A. 12a + 12b B. 12a + 7b C. 8a + 8b D. 8a – 8b
    10·2 answers
  • A sphere has a radius of 4. what is the volume of the sphere? show your answer in terms of pi. I've been stuck on this for 4 day
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!