The formula for the average value of a function is
where b is the upper bound and a is the lower. For us, this formula will be filled in accordingly.
. We will integrate that now:
![\frac{1}{2}[ \frac{2x^3}{3}+3x]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B%20%5Cfrac%7B2x%5E3%7D%7B3%7D%2B3x%5D%20%20)
from 0 to 2. Filling in our upper and lower bounds we have
![\frac{1}{2}[( \frac{2(2^3)}{3}+3(2))-0]](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%5B%28%20%5Cfrac%7B2%282%5E3%29%7D%7B3%7D%2B3%282%29%29-0%5D%20%20)
which simplifies to
and
which is 17/3 or 5.667
Answer: -8 1/2 I think
Step-by-step explanation:
First you make -8 1/3 a improper fraction
than you find common denominators
and you keep the sign of the biggest number
simplify if possible
If the car were 6 feet tall, the model would be 1in tall. so if the model is .75in then you would do 75% of 6, so therefore, you will get 4.5.
It would take 10.7 years.
The formula for continuously compounded interest is:
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Using our information we have:
We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
Divide both sides by P:
Take the natural log, ln, of each side to "undo" e:
Divide both sides by 0.065:
I would say C: "I don't like it when you do that." because this clearly conveys the teacher's dislike with the student's behavior without berating them. A: "Stop being bad!" may have the opposite effect on a child and they may continue doing it just to irk the teacher further. B: "Now look what you've done!" may give the child a sense of accomplishment at making the teacher angry. <span>D: "Sometimes you're terrible." berates the child and insults them rudely. They may continue doing bad things just to infuriate the teacher as a result of that mean comment.</span>
