The intensity of the sound, I watts/m², received from a loudspeaker is
inversely proportional to the square of the distance, d metres, from the
loudspeaker.
When d = 2,1 = 30
Work out the value of I when d = 10


PLEASE HELP

Answers

Answer 1

Answer:

The value of I for d = 10 will be 1.2 watts/m^3

Step-by-step explanation:

Let I be the intensity of sound and d be the distance

According to given statement, "The intensity of the sound, I watts/m², received from a loudspeaker is  inversely proportional to the square of the distance, d meters, from the  loudspeaker. "

[tex]I \propto \frac{1}{d^2}[/tex]

Removing the proportionality symbol

[tex]I = \frac{k}{d^2}[/tex]

Putting d = 2 and I = 30

[tex]30 = \frac{k}{(2)^2}\\30 = \frac{k}{4}\\k = 30*4\\k = 120[/tex]

Putting the value of k in the equation

[tex]I = \frac{120}{d^2}[/tex]

Putting d = 10

[tex]I = \frac{120}{(10)^2}\\I = \frac{120}{100}\\I = 1.2[/tex]

Hence,

The value of I for d = 10 will be 1.2 watts/m^3


Related Questions

Desiree writes songs for her band. her first song is 3 1/2 minutes long. Her second song is 1 1/2 times as long as her first song. her third song is 2/3 times as long as her second song. How many minutes long are the second and third songs?

Answers

3 1/2 x 1 1/2= 7/2 x 4/2= 28/4. 28/4 x 2/3= 56/12. 56 divided by 12 is 4 8/12. The second song is 7 minutes is long and the third song is 4 8/12 minutes long.

A company that makes​ hair-care products had 8,000 people try a new shampoo. Of the 8,000 ​people, 32 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer:

i think it 0.4%

Step-by-step explanation:

32/8000=0.004
0.004=0.4%

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Answers

Answer:

I believe it is the last choice

Step-by-step explanation:

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So the equation is 81-36

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Step-by-step explanation:

A customer wants to book a room with a seaview.
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Answers

3/4 is the fraction

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Answers

Answer:

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Answers

Answer:

never:)

Step-by-step explanation:

Answer:

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Step-by-step explanation:

The function Y=4.75+2.20(X-1) can be used to determine the cost in dollars for a taxi ride in Houston, TX. What is the rate of change of the cost in dollars with respect to the number of miles?

Answers

Answer:

2.20 dollars/mile

Step-by-step explanation:

Given the function:

y = 4.75 + 2.20(x-1)

Before we get the rate of change of the cost, we need to write the expression in the form y = mx+c where;

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From the function given:

y = 4.75 + 2.20(x-1)

Open the parenthesis

y = 4.75 + 2.20x -2.20

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On comparing with the standard

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Hence the rate of change of the cost in dollars with respect to the number of miles is 2.20 dollars/mile

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Answers


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Answers

Answer:

You need to attach something to this?

Step-by-step explanation:

I could help you but theres nothing here to see?

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ii. How many such strings end in 0?

iii. How many such strings have l's for their second and fourth digits?

iv. How many such strings have l's for their second or fourth digits?

b) Find how many 9-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6,

7, 8, 9 if repetition is not allowed and all the odd digits occur first (on the

left) followed by all the even digits.

c) How many permutations of the letters A, B, C, D, E, F, G are there in which

the three letters ABC appear consecutively, in alphabetical order?

Answers

Answer:

a)

i) With an eight digit binary number, there are 2⁸, or 256 possible combinations.

ii) Each digit is set to 1 or 0 for exactly half of all combinations.  This means that half of all strings, or 256 / 2 = 128 strings end with a zero.

iii) 3/4, or 128 + 64 = 192 of the combinations have a 1 for either the second or fourth digit.  If you consider:

Half of all digits will have the second bit set to 1

Half of all digits will have the fourth bit set to 1

Half of those will overlap

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Subtract the number 6498 from the product of six doubles, four triples and one five. Which number did you get?​

Answers

Answer:

the answer will be 132

Step-by-step explanation:

''.''

Answer:

2142

Step-by-step explanation:

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Wish this is right.

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Answers

8,820 is the answer. 200x30=6000, 40x30= 1200, 30x5=150, 200x6=1200, 40x6=240, and 6x5=30. Lastly, you would want to add them together to get the total/sum which is 8820. (don’t ask me how I do it).

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Answers

Answer:

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Step-by-step explanation:

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Answers

New cost = original price x (1 + markup)

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Answers

Given :

Total amount paid for the car is, A = $20,500.

Sales tax is 6.5%.

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The list price i.e. price without tax.

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

I believe it may be written like this:
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An algebraic expression is a sentence with a minimum of two numbers or variables and at least one mathematical operation.  

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25 ferns can be written as 25F.

The algebraic expression for the given verbal description is 0.3G+25F.

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Answers

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Answer:
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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answer:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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