Answer:
7/3
1
1/2
undefined
Step-by-step explanation:
1/1 ÷ 3/7 = 7/3 because you multiply the 1st fraction by the reciprocal of the 2nd
1/1 = 1
1/2 = 1/2
1/0 = undefined; anything divided by zero is considered to be undefined
Answer:
is there a chart?
Step-by-step explanation:
March has 31 days so 15-31=16
August the 15 is 15 days into the month.
You add 16+15 which equals 31 days.
Answer:
Step-by-step explanation:
the given function is ![$\lim_{x\to\infty} (1 - \frac{1}{3x})^{x^2}](https://tex.z-dn.net/?f=%24%5Clim_%7Bx%5Cto%5Cinfty%7D%20%281%20-%20%5Cfrac%7B1%7D%7B3x%7D%29%5E%7Bx%5E2%7D)
The answer is ![$\lim_{x\to\infty} (1 - \frac{1}{3x})^{x^2} = 0](https://tex.z-dn.net/?f=%24%5Clim_%7Bx%5Cto%5Cinfty%7D%20%281%20-%20%5Cfrac%7B1%7D%7B3x%7D%29%5E%7Bx%5E2%7D%20%3D%200)
![\hspace{0.1cm}$\lim_{x\to\infty} e^{\ln( (1 - \frac{1}{3x})^{x^2})$\hspace{0.1cm} = \hspace{0.1cm} $\lim_{x\to\infty} e^{x^{2} \ln( (1 - \frac{1}{3x}))$](https://tex.z-dn.net/?f=%5Chspace%7B0.1cm%7D%24%5Clim_%7Bx%5Cto%5Cinfty%7D%20e%5E%7B%5Cln%28%20%281%20-%20%5Cfrac%7B1%7D%7B3x%7D%29%5E%7Bx%5E2%7D%29%24%5Chspace%7B0.1cm%7D%20%3D%20%5Chspace%7B0.1cm%7D%20%24%5Clim_%7Bx%5Cto%5Cinfty%7D%20e%5E%7Bx%5E%7B2%7D%20%5Cln%28%20%281%20-%20%5Cfrac%7B1%7D%7B3x%7D%29%29%24)
![= \hspace{0.1cm} $\lim_{x\to\infty} e^{x^{2} \ln( (1 - \frac{1}{3x}))$ = \hspace{0.1cm} $e^{\lim_{x\to\infty} x^{2} \ln( (1 - \frac{1}{3x}))$](https://tex.z-dn.net/?f=%3D%20%5Chspace%7B0.1cm%7D%20%24%5Clim_%7Bx%5Cto%5Cinfty%7D%20e%5E%7Bx%5E%7B2%7D%20%5Cln%28%20%281%20-%20%5Cfrac%7B1%7D%7B3x%7D%29%29%24%20%3D%20%20%5Chspace%7B0.1cm%7D%20%24e%5E%7B%5Clim_%7Bx%5Cto%5Cinfty%7D%20x%5E%7B2%7D%20%5Cln%28%20%281%20-%20%5Cfrac%7B1%7D%7B3x%7D%29%29%24)
![= \hspace{0.1cm} $e^{\lim_{x\to\infty}\frac{1}{\frac{d}{dx}(\frac{1}{ x^{2}} )} \frac{d}{dx} \ln( (1 - \frac{1}{3x}))$](https://tex.z-dn.net/?f=%3D%20%20%5Chspace%7B0.1cm%7D%20%24e%5E%7B%5Clim_%7Bx%5Cto%5Cinfty%7D%5Cfrac%7B1%7D%7B%5Cfrac%7Bd%7D%7Bdx%7D%28%5Cfrac%7B1%7D%7B%20x%5E%7B2%7D%7D%20%29%7D%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cln%28%20%281%20-%20%5Cfrac%7B1%7D%7B3x%7D%29%29%24)
= ![e^{\frac{1}{2} (\frac{-\infty}{3})} = e^{-\infty} = 0](https://tex.z-dn.net/?f=e%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%28%5Cfrac%7B-%5Cinfty%7D%7B3%7D%29%7D%20%3D%20e%5E%7B-%5Cinfty%7D%20%3D%200)
Answer:
15 times
Step-by-step explanation:
I assume that your question is:
Heather has 7.5 c bird food. The feeder holds 0.5 c bird food. How many times can Heather fill the bird feeder?
7.5/0.5=7.5*2=15