John has one rope that is 48 feet long. How many 8-foot pieces of rope can John make out of his one rope?
2 answers:
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Answer:
The slope that is perpendicular to the line will be:
Step-by-step explanation:
Given the equation
We know that
is the slope-intercept form of a line where m is the slope and b is the y-intercept.
So, writing the equation in the slope-intercept form
here
∵
As we know that for perpendicular lines, one slope is the negative reciprocal of the other.
Therefore, the slope that is perpendicular to the line will be:
<h2>Answer</h2>
f(x) = 5(1.25)x + 4
<h2>Explanation</h2>To solve this, we are going to use the standard exponential equation:
where
is the initial amount
is the growth rate in decimal form
is the time (in months for our case)
Since the hours of classic music remain constant, we just need to add them at the end. We know form our problem that Sue initially has 5 hours of pop, so ; we also know that every month onward, the hours of pop music in her collection is 25% more than what she had the previous month, so
. Now let's replace the values in our function:
Now we can add the hours of classical music to complete our function: