The loudness, l, measured in decibels (db), of a sound intensity, i, measured in watts per square meter, is defined as where and is the least intense sound a human ear can hear. jessica is listening to soft music at a sound intensity level of 10-9 on her computer while she does her homework. braylee is completing her homework while listening to very loud music at a sound intensity level of 10-3 on her headphones. how many times louder is braylee's music than jessica's?

The music that Braylee is listening is 3 times louder than the music Jessica is listening.

Step-by-step explanation:

Given:

Sound Intensity level of Jessica music = {tex]10^{-9}[/tex]

Sound Intensity level of Braylee music = {tex]10^{-3}[/tex]

Now we convert intensity level to loudness of music.

we know that loudness is measured as,

The loudness of music that Jessica is listening given by,

The loudness of music that Braylee is listening given by,

So, Number of time Braylee's music louder than Jessica's =

Therefore, The music that Braylee is listening is 3 times louder than the music Jessica is listening.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)