Answer:
D.
Step-by-step explanation:
It's a right triangle so
![x^2=40^2+9^2](https://tex.z-dn.net/?f=x%5E2%3D40%5E2%2B9%5E2)
x = 41
I think that’s a brand of tape beacuse there’s duck tape, scotch tape, paint tape, washie tape etc
Hope this helps:)
Answer:38
Step-by-step explanation:if you take 24 and subtract the five she added, it gives you 19 and since she divided it by two you would multiply it by two to get the original number she was thinking of
Hope this helps :)
Given that
![f^{(n)}(0)=(n+1)!](https://tex.z-dn.net/?f=f%5E%7B%28n%29%7D%280%29%3D%28n%2B1%29%21)
, we have for
![f(x)](https://tex.z-dn.net/?f=f%28x%29)
the Taylor series expansion about 0 as
![f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdisplaystyle%5Csum_%7Bn%3D0%7D%5E%5Cinfty%5Cfrac%7B%28n%2B1%29%21%7D%7Bn%21%7Dx%5En%3D%5Csum_%7Bn%3D0%7D%5E%5Cinfty%28n%2B1%29x%5En)
Replace
![n+1](https://tex.z-dn.net/?f=n%2B1)
with
![n](https://tex.z-dn.net/?f=n)
, so that the series is equivalent to
![f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%5Cinfty%20nx%5E%7Bn-1%7D)
and notice that
![\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20x%5En%3D%5Csum_%7Bn%3D1%7D%5E%5Cinfty%20nx%5E%7Bn-1%7D)
Recall that for
![|x|](https://tex.z-dn.net/?f=%7Cx%7C%3C1)
, we have
![\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20x%5En%3D%5Cfrac1%7B1-x%7D)
which means
![f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%5Cinfty%20nx%5E%7Bn-1%7D%3D%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cfrac1%7B1-x%7D)
Answer:
B. 252
Step-by-step explanation:
To find the answer, you have to use the formula to calculate the number of combinations as in this case, the order in which the objects are selected doesn't matter:
nCr=n!/r!(n-r)!
n= number of sample points: 10
r= number of sample points in each combination: 5
10C5= 10!/5!(10-5)!
10C5= 10!/5!*5!
10C5= 252
According to this, the answer is that you have 252 different ways to choose your school lunch.