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Elina [12.6K]
3 years ago
12

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

urce of the sound. When a person 14 feet from a jetski, it is 70 decibels loud. How loud is the jetski when the person is 46 feet away?
Mathematics
1 answer:
Ivahew [28]3 years ago
5 0

Answer:

Loudness (L) = 6.48 dB

Step-by-step explanation:

Given:

Loudness (L) = k / d² , where k = constant

So,

70 = k / 14²

k = 13,720

New distance = 46 feet

Find:

Loudness (L) = ?

Computation:

Loudness (L) = 13,720 / 46²

Loudness (L) = 13,720 / 2,116

Loudness (L) = 6.48 dB

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What is the value of the digit 5
gulaghasi [49]
The value digit of 5 is ten thousand
7 0
3 years ago
mary robertson sells tires at a large car service center. She earns 10% commission on the first $1000.15 percent on the next $20
Illusion [34]

Answer:

$1530 = 45% commission

Step-by-step explanation:

First, jot down the important facts:

• first $1000 = 10% comm.

• next $2000 = 15% comm.

• total more than $3000 = 20% comm.

• total comm. = $3400

Then, go in order with your jotted facts to withdraw the total commission amount. Here's what I mean:

 $3400   ← total is more than $3000 = +20% comm.

<u>- $1000</u>   ← the first $1000 = +10% comm.

 $2400

<u>- $2000</u>   ← the next $2000 = +15% comm.

   $400

Then, add together the commission percentages:

20% + 10% + 15% = 45% comm.

Convert the percentage to a decimal:

45% × 100 = 0.45

And multiply it with the total amount to find the commission amount:

$3400 × 0.45 = $1530

8 0
3 years ago
Graph the inequality y is greater than or equal to -2x - 2
Butoxors [25]

Answer:

graph -2x-2 as a solid line then shade the graph in above that line.

Step-by-step explanation:

6 0
3 years ago
Write the ratio of hands to cellphones in simplest form. it was 8 hands and 4 phones
Lapatulllka [165]

Answer:

The ratio is 2:1

Step-by-step explanation:

This is since there are 2 times the amount of hands as there are phones

4 0
3 years ago
Which is the graph of f (x) = 4 (1/2) Superscript x?
miss Akunina [59]

Answer:

Option (2) is correct graph.

Step-by-step explanation:

Given:

The function to graph is given as:

f(x)=4(\frac{1}{2})^x

Now, the above function is an exponential function of the form f(x)=ka^x

Where, 'k' and 'a' are constants.

The range of an exponential function is always greater than 0.

The domain is all real numbers.

Now, for graphing it, we need to find some points on it and its end behaviour.

Now, for x = 0, the function value is given as:

f(0)=4(\frac{1}{2})^0=4

So, (0, 4) is a point on the graph.

Now, for x = 1, the function value is given as:

f(1)=4(\frac{1}{2})^1=4\times\frac{1}{2}=2

So, (1, 2) is another point on the graph.

Now, for x = 2, the function value is given as:

f(2)=4(\frac{1}{2})^2=4\times\frac{1}{4}=1

So, (2, 1) is another point on the graph.

Now, as 'x' tends to ∞, the function value tends to:

f(x\to\infty)=4\cdot\frac{1}{2}^{\infty}=\frac{4}{\infty}=0

So, as

x\to\infty,f(x)\to0\\\\x\to-\infty,f(x)\to\infty

Now, from among all the options, only option (2) fulfills all the conditions given above.

So, option (2) is correct graph.

5 0
3 years ago
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