Answer:
<em>The sound level would be at 80 decibels at 1 or 7 number of measures played</em>
Step-by-step explanation:
<u>Equations with Absolute Values</u>
We have the function s to represent the sound level in decibels:
Where x is the number of measures of the music played.
We are required to find the value of x that makes s=80 decibels. We have to find the equation:
Subtracting 50:
Dividing by 10:
For the absolute value be equal to 3, its argument could be positive or negative:
Or
This leads us to two solutions:
x=7
Or
x=1
The sound level would be at 80 decibels at 1 or 7 number of measures played
Answer:
Step-by-step explanation:
Remember that we evaluate the term under the radical first.
Even though x < 0, x²² > 0
So,
The simplified expression is
Answer:
x=14
Step-by-step explanation:
x-4=⅓(6x-54)
x-4=2x-18
x+14=2x
x=14
As we can tell, the first number is 3, so we'll have a y-intercept in our equation and overall. Secondly, we can tell it's increasing by 7 each time, so we can tell that's the rate. But, it won't just be 3+7x, if we plug 1 in, it would be 10 and not 3. We need to put in the parenthesis 3+7(x-1). If we put one in, we would receive three. Let's make sure this works.
3+7(5-1)
3+7(4)
3+28
31
31 is the fifth terms.
So the expression would be 3+7(x-1).
Let's find the 100th term.
3+7(100-1)
3+7(99)
3+693
696
So the 100th term would be 696.
Speed = distance / time
speed = 1(mile) / 4 (minutes)
speed = 0.25 miles per minute
s = 0.25m <== ur equation
there are 60 minutes in an hr....so sub in 60 for m
s = 0.25(60)
s = 15 miles per hr <====
