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Sveta_85 [38]
3 years ago
10

The volume, Q, of a sound is inversely proportional to the square of the distance n, in meters, from the source of the sound. A

sound is heard at 83 decibels at a distance of 12 meters from its source. Write a formula for Q as a function of n, including finding the value of any unknown constants. Q=
Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0

Answer:

Q = 83n²/144

Step-by-step explanation:

The volume, Q, of a sound is inversely proportional to the square of the distance n, in meters, from the source of the sound

This means that

Q ∝ n² where K is the constant of proportionality in Decibels/meters²

Q = Kn²

if a sound is heard at 83 decibels at a distance of 12 meters from its source, then

83 = K(12²)

K = 83/144 (in Decibels/meters²)

Hence

Q = 83n²/144

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What is the standard form of the line with x-intercept of 6 and y-intercept of 5?
Vanyuwa [196]

Answer:

It should be 5x-6y=30

Step-by-step explanation:

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3 years ago
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Colton and his children went into a movie theater and he bought $48.50 worth of bags of popcorn and candies. Each bag of popcorn
Inessa [10]

Answer:

5 bags of popcorn and 6 candies.

Step-by-step explanation:

(5 * $5.50) + ($3.5*6) = $48.5

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3 years ago
sophie was 28 years old when daughter Nichole was born. In how many years will Sophie be two years less than still times Nichole
Kamila [148]
It will take 6 years for that to happen. 

You can find this by setting Nichole's age as x and Sophie's age as x + 28 since she will always be 28 years older. 

Now we are looking for a time that Sophie's age is equal to 2 less than 6 times Nichole's age. So we can set up the below equation. 

6(x) - 2 = x + 28
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This let's us know that it needs to be when Nichole is 6, which is 6 years in the future. 
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3 years ago
Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).
kolezko [41]

Answer: 5y + 4x = - 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is m_{1} and the gradient of the second line is m_{2} , if the lines are perpendicular, them

m_{1} x m_{2} = -1 , that is

m_{1} = \frac{-1}{m_{2} }

The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.

The equation in slope -intercept form is given as :

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Writing the equation in this form , we have

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y = 5x/4 + 3/4

comparing with the equation y = mx + c , then m_{1} = 5/4

Which means that m_{2} = -4/5 and the line passes through the point ( -5 , 2 ).

Using the equation of line in slope - point form  to find the equation of the line;

y - y_{1} = m ( x -  y_{1} )

y - 2 = -4/5 ( x +5)

5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

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4 0
3 years ago
Use a translation of(x,y) (x+2,y-3). What's the image of D(4,7) ​
lyudmila [28]

Answer:

(6,4)

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7 0
3 years ago
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