A) Yes, the smaller cone is similar to the original cone. They are similar because the smaller cone is half of the original cone.
B) The volume of the larger cone is 56.52 and the volume for the smaller cone is 7.065
![V=3.14* 3^2\frac{6}{3}](https://tex.z-dn.net/?f=V%3D3.14%2A%203%5E2%5Cfrac%7B6%7D%7B3%7D)
![V=3.14*1.5^2\frac{3}{3}\\](https://tex.z-dn.net/?f=V%3D3.14%2A1.5%5E2%5Cfrac%7B3%7D%7B3%7D%5C%5C)
C) The ratio of the volume of the larger cone and the smaller cone is the top/smaller cone is half the volume of the bottom/larger cone
D) The Volume of the frustum is 49.455
![V = (1/3) * 3.14 * 3* (1.5^2 + 3^2 + (1.5 * 3))](https://tex.z-dn.net/?f=V%20%3D%20%281%2F3%29%20%2A%203.14%20%2A%203%2A%20%281.5%5E2%20%2B%203%5E2%20%2B%20%281.5%20%2A%203%29%29)
Answer:
The slope of the line would be 0.00910 in a logarithm graphic.
Step-by-step explanation:
Statement is incomplete. The correct sentences are:<em> The increase in the number of humans living on Earth (N, as measured in billions) with time t (as measured in years since 1800) is modeld by the following function: N = 0.892e^0.00910t. If you were to graph in ln (N) versus t, what would be the slope of the line?</em>
Let be
, where
is the number of humans living on Earth, measured in billions, and
is the time, measured in years since 1800. As we notice, this is an exponential function and its slope is not constant and such expression have to be linearized by using a logartihm graphic. We add logarithms on each side of the formula and simplify the resulting expression by means of logarithmic properties:
![\log N(t) = \log \left(0.892\cdot e^{0.00910\cdot t}\right)](https://tex.z-dn.net/?f=%5Clog%20N%28t%29%20%3D%20%5Clog%20%5Cleft%280.892%5Ccdot%20e%5E%7B0.00910%5Ccdot%20t%7D%5Cright%29)
![\log N(t) = \log 0.892 + 0.00910\cdot t](https://tex.z-dn.net/?f=%5Clog%20N%28t%29%20%3D%20%5Clog%200.892%20%2B%200.00910%5Ccdot%20t)
In a nutshell, the slope of the line would be 0.00910 in a logarithm graphic.
Answer:
the answer is a. The population is all words in the book report and the sample is the random sample of 20 words.
Step-by-step explanation:
got it right on edge