Answer:
279936
Step-by-step explanation:
Good luck ranking to the next level!
Answer:
An adult Welsh Corgi is always going to be shorter than an adult Basset Hound.
Step-by-step explanation:
That's what I think because the Basset Hound is 13.8 in. in height right? So he's two inches taller if we round up both numbers. Basset hound would be 14 and welsh corgi would be 11....................okay im not sure i give up but it's either
"An adult Welsh Corgi is always going to be shorter than an adult Basset Hound."
"Basset hounds tend to be a little over two inches taller than Welsh Corgis, but have a higher variability in height.
whichever just not the other ones good luck!
Let's take the first derivative:
![f'(x) = (-5e^{-x/3})' = -5 \times (e^{-x/3})' = -5e^{-x/3} \times \left(-\dfrac{1}{3}\right) = \dfrac{5}{3}e^{-x/3}.](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%28-5e%5E%7B-x%2F3%7D%29%27%20%3D%20-5%20%5Ctimes%20%28e%5E%7B-x%2F3%7D%29%27%20%3D%20-5e%5E%7B-x%2F3%7D%20%5Ctimes%20%5Cleft%28-%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%20%3D%20%5Cdfrac%7B5%7D%7B3%7De%5E%7B-x%2F3%7D.)
Notice that we can write this as:
![f'(x) = -\dfrac{f(x)}{3}.](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20-%5Cdfrac%7Bf%28x%29%7D%7B3%7D.)
By taking the derivative of both sides
times, we get:
![f^{(n+1)}(x) = -\dfrac{f^{(n)}}{3}.](https://tex.z-dn.net/?f=f%5E%7B%28n%2B1%29%7D%28x%29%20%3D%20-%5Cdfrac%7Bf%5E%7B%28n%29%7D%7D%7B3%7D.)
This means that each time you take a derivative, a factor of
will appear. So we conclude that:
![f^{(n)}(x) = \left(-\dfrac{1}{3}\right)^nf(x).](https://tex.z-dn.net/?f=f%5E%7B%28n%29%7D%28x%29%20%3D%20%5Cleft%28-%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5Enf%28x%29.)
Taking
and
, we get:
![f^{(6)}(1) = \left(-\dfrac{1}{3}\right)^6 f(1) = \dfrac{-5e^{-1/3}}{729} = -\dfrac{5}{729}e^{-1/3}.](https://tex.z-dn.net/?f=f%5E%7B%286%29%7D%281%29%20%3D%20%5Cleft%28-%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5E6%20f%281%29%20%3D%20%5Cdfrac%7B-5e%5E%7B-1%2F3%7D%7D%7B729%7D%20%3D%20-%5Cdfrac%7B5%7D%7B729%7De%5E%7B-1%2F3%7D.)
So we finally get:
![\boxed{-\dfrac{5}{729}e^{-1/3}}.](https://tex.z-dn.net/?f=%5Cboxed%7B-%5Cdfrac%7B5%7D%7B729%7De%5E%7B-1%2F3%7D%7D.)
<span>A. 3(3x + 4) should be the correct answer.</span>
You lost $40 because you have to subtract 30 from 70