Answer:
$240
Step-by-step explanation:
Because 6% of 800 are 48, and 48 x 5 it's 240
Answer:
1179
Step-by-step explanation:
Answer:
C (I'm not 100% sure that this is correct)
Step-by-step explanation:
I don't think that an act of genocide in the regions of Africa occurred recently.
It looks like you are trying to compute the improper integral,
![I = \displaystyle\int_1^\infty \dfrac{\mathrm dx}{x(9+\ln^2(x))}](https://tex.z-dn.net/?f=I%20%3D%20%5Cdisplaystyle%5Cint_1%5E%5Cinfty%20%5Cdfrac%7B%5Cmathrm%20dx%7D%7Bx%289%2B%5Cln%5E2%28x%29%29%7D)
or some flavor of this. If this interpretation is correct, substitute <em>u</em> = ln(<em>x</em>) and d<em>u</em> = d<em>x</em>/<em>x</em>. Then
![I = \displaystyle\int_0^\infty \dfrac{\mathrm du}{9+u^2} \\\\ = \frac13\arctan\left(\frac u3\right)\bigg|_{u=0}^{u\to\infty} \\\\ = \frac13\lim_{u\to\infty}\arctan\left(\frac u3\right) \\\\ = \frac13\times\frac\pi2 = \boxed{\frac\pi6}](https://tex.z-dn.net/?f=I%20%3D%20%5Cdisplaystyle%5Cint_0%5E%5Cinfty%20%5Cdfrac%7B%5Cmathrm%20du%7D%7B9%2Bu%5E2%7D%20%5C%5C%5C%5C%20%3D%20%5Cfrac13%5Carctan%5Cleft%28%5Cfrac%20u3%5Cright%29%5Cbigg%7C_%7Bu%3D0%7D%5E%7Bu%5Cto%5Cinfty%7D%20%5C%5C%5C%5C%20%3D%20%5Cfrac13%5Clim_%7Bu%5Cto%5Cinfty%7D%5Carctan%5Cleft%28%5Cfrac%20u3%5Cright%29%20%5C%5C%5C%5C%20%3D%20%5Cfrac13%5Ctimes%5Cfrac%5Cpi2%20%3D%20%5Cboxed%7B%5Cfrac%5Cpi6%7D)