Given that x,y, and z are all integers, we have $\frac{2}{x}=1$ or $2$. So we have $x=1$ or $x=2$. Symmetrically, the same is true for $y$ and $z$. So we have $1+1+1$, $2+1+1$, $2+2+1$, and $2+2+2$ as our only distinct options. Counting, we see there are $\boxed{4}$ of them.
It's not a glitch, it is because someone previously spammed on here, and then I flagged the post and the admin came on and took down the spam posts. There were 2 spam posts and 2 of my replies. They are still there, just only visible to the mods and the admin.
Averaging them out, we have $\frac{0.4(0)+0.35(4)+0.25(10)}{3}=1.3$ inches of rain on average for each day.
But wait! There are five days, so we have the final result as $1.3*5=\boxed{6.5}$ inches of rain
No problem! Glad to hear it!
The square with vertices at $(\pm2, \pm2)$ has area $4*4=16$.
A circle that is one unit from $(2,2)$ has area $1*\pi$.
But wait! Only a quarter of that circle is in the square so the final probability is $\frac{\frac{\pi}{4}}{16}=\boxed{\frac{\pi}{64}}$
A graph is shown here: https://www.desmos.com/calculator/g21hwkcyzd
The upper bound is given when f(x) is $-5$ and g(x) is $-2$, which when multiplied equals $\boxed{10}$
Nevermind, I got the answer, it is $13$, because for $5^n$, starting with $n=3$, we have the final digits as $125,625,125,625,125,625...$ and so on. Since $100$ is a multiple of $2$, it ends in $625$, and the sum of the digits is $\boxed{13}$
Thank you! Although the problem asked for THE SUM of the proper divisors of the sum of the proper divisors, so the sum of the proper divisors of 220, I was able to take it from here, and got the answer 284.
Thank you, it was correct!
Thank you @thedudemanguyperson, it was correct!
