Answer:
Area = 10025.66 square units
Step-by-step explanation:
We are given the following in the question:
The birth rate of a population:

The death rate of a population:

The area between the curve for 0 ≤ t ≤ 10, is given by:
![\displaystyle\int_0^{10}b(t) - d(t)~ dt\\\\\displaystyle\int_0^{10} 2300e^{0.024t}-1450e^{0.019t}~dt\\\\= \Bigg[\frac{2300e^{0.024t}}{0.024}\Bigg]_0^{10}-\Bigg[\frac{1450e^{0.019t}}{0.019}\Bigg]_0^{10}\\\\= \Bigg[\frac{2300e^{0.24}}{0.024}-\frac{1450e^{0.19}}{0.019}\Bigg]-\Bigg[\frac{2300}{0.024}-\frac{1450}{0.019}\Bigg]\\\\= 29543.2058565 - 19517.5438596 \approx 10025.6](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_0%5E%7B10%7Db%28t%29%20-%20d%28t%29~%20dt%5C%5C%5C%5C%5Cdisplaystyle%5Cint_0%5E%7B10%7D%202300e%5E%7B0.024t%7D-1450e%5E%7B0.019t%7D~dt%5C%5C%5C%5C%3D%20%5CBigg%5B%5Cfrac%7B2300e%5E%7B0.024t%7D%7D%7B0.024%7D%5CBigg%5D_0%5E%7B10%7D-%5CBigg%5B%5Cfrac%7B1450e%5E%7B0.019t%7D%7D%7B0.019%7D%5CBigg%5D_0%5E%7B10%7D%5C%5C%5C%5C%3D%20%5CBigg%5B%5Cfrac%7B2300e%5E%7B0.24%7D%7D%7B0.024%7D-%5Cfrac%7B1450e%5E%7B0.19%7D%7D%7B0.019%7D%5CBigg%5D-%5CBigg%5B%5Cfrac%7B2300%7D%7B0.024%7D-%5Cfrac%7B1450%7D%7B0.019%7D%5CBigg%5D%5C%5C%5C%5C%3D%2029543.2058565%20-%2019517.5438596%20%5Capprox%2010025.6)
Answer:
3.4 + 3.4 = 6.8
Step-by-step explanation:
Review your triangle and geometry. Since the triangles are both similar, they would have the same side.. etc.
Answer:
Hey there!
For the first question we use the triangle area formula: 1/2bh, or 1/2(8)(5). This gives us 20 for the area.
For the second question we get a trapezoid, since the cross section does not pass through the vertex.
Hope this helps :)
1 5/6 because you have to first find half of 3 which is 1 1/2 then you have to find half of 2/3 which is 1/3 then you have to find a common denominator then add. After that simplest form.
Answer:
4
Step-by-step explanation:
the formula for radius is

so. 500 divided by pi times 10. then square root your final answer. cool. let's get started.
3.14*10 is 31.4, you can do that without thinking.
500/31.4=15.92
15.92= 3.99, or just 4
the radius is four.