Answer:

Step-by-step explanation:
Let's set up a proportion.

He can peel 125 oranges in 5 hours. First, let's find the minutes in 5 hours.
There are 60 minutes in 1 hour, so multiply 60 and 5 (60*5=300). There are 300 minutes in 5 hours.

We don't know how many oranges he can peel in 12 minutes. So we say he can peel x oranges in 12 minutes.


Solve for x by isolating it. x is being divided by 12. The inverse of division is multiplication. Multiply both sides of the proportion by 12.




Rob can peel 5 oranges in 12 minutes.
Answer:
1,000
Step-by-step explanation:
10³ is the same as saying 10×10×10
This is equal to 1,000
Hope that helps!
Answer:

Step-by-step explanation:
Ok, so we start by setting the integral up. The integral we need to solve is:

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:
U=5+x
du=dx
x=U-5
so when substituting the integral will look like this:

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

so we must define p, q, p' and q':
p=ln U


q'=U-5
and now we plug these into the formula:

Which simplifies to:

Which solves to:

so we can substitute U back, so we get:

and now we can simplify:



notice how all the constants were combined into one big constant C.
Step-by-step explanation:
y-y1 = m(x-x1) is the equation for a linear line in y=mx+b (slope intercept)
slope = m = -5/8
x1 = -14
y1 = 6
y-6 = -5/8 (x--14)
y-6 = -5/8 (x+14)
y-6 = -5/8x-70/8
y-48/8= -5/8x-70/8
y = -5/8x - 22/8
When x = 0, y = -22/8, which makes (0, -22/8) your y intercept
GM, because when naming a line, you go from left to right just like how we read.