Answer:
197 million square miles
Step-by-step explanation:
Remark
What the equator is telling you is that the circumference around the earth is approximately 24902 miles. So before you can find the surface area, you need to find the radius of that circumference.
Equations
C = 2*pi*r
Area = 4pi*r^2
Solution
<em><u>Radius</u></em>
C = 24902
pi = 3.14
r = ?
24902 = 2 * pi * r
r = 24902 / (2 * pi)
r = 3965.29
==========
<em><u>Surface Area</u></em>
Area = 4 * pi * r^2
Area = 4 * 3.14 * 3965.29^2
Area = 4 * 3.14 * 15,723,498
Area = 197 000 000 square miles
Answer: 6 hours
Step-by-step explanation:
6 hour because is 3 hours less than kim
Rationalizing expressions with one radical in the denominator is easy. For example, with a square root, you just need to get rid of the square root. Normally, the best way to do that in an equation is to square both sides. Let me know if this helps.!
Answer:
The Laplace transformation of the function would be
![F(s) = -\frac{1-2e^{-s}}{s}](https://tex.z-dn.net/?f=F%28s%29%20%3D%20-%5Cfrac%7B1-2e%5E%7B-s%7D%7D%7Bs%7D)
Step-by-step explanation:
According to the information of your problem
![F(s) = L\{f(t)\} = \int\limits_{0}^{\infty} e^{-st} f(t) dt](https://tex.z-dn.net/?f=F%28s%29%20%3D%20L%5C%7Bf%28t%29%5C%7D%20%3D%20%5Cint%5Climits_%7B0%7D%5E%7B%5Cinfty%7D%20%20e%5E%7B-st%7D%20f%28t%29%20dt)
And the function given is
![f(t) = \left \{ {{-1 \,\,\,\,\,\,\,0 \leq t < 1} \atop {1 \,\,\,\,\,\,\, t \geq 1}} \right.](https://tex.z-dn.net/?f=f%28t%29%20%3D%20%20%5Cleft%20%5C%7B%20%7B%7B-1%20%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C0%20%5Cleq%20t%20%3C%201%7D%20%5Catop%20%7B1%20%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%20t%20%5Cgeq%20%201%7D%7D%20%5Cright.)
Therefore
![F(s) = L\{f(t)\} = \int\limits_{0}^{1} -e^{-st} dt + \int\limits_{1}^{\infty} e^{-st} dt](https://tex.z-dn.net/?f=F%28s%29%20%3D%20L%5C%7Bf%28t%29%5C%7D%20%3D%20%5Cint%5Climits_%7B0%7D%5E%7B1%7D%20%20-e%5E%7B-st%7D%20%20dt%20%2B%20%5Cint%5Climits_%7B1%7D%5E%7B%5Cinfty%7D%20%20e%5E%7B-st%7D%20%20dt)
And when you compute those integrals you get that
![F(s) = -\frac{1-2e^{-s}}{s}](https://tex.z-dn.net/?f=F%28s%29%20%3D%20-%5Cfrac%7B1-2e%5E%7B-s%7D%7D%7Bs%7D)
Rewrite the equation in term of x and y . F(x) = x-2)^2-4
Use the vertex form y=a (x-h)^2 +k to determine the values of a,h and k. A=1
H=2 k=-4 find the vertex 2,-4