Answer:
The equations that represent the reflected function are
![f(x)=5(\frac{1}{5})^{-x}](https://tex.z-dn.net/?f=f%28x%29%3D5%28%5Cfrac%7B1%7D%7B5%7D%29%5E%7B-x%7D)
![f(x)=5(5)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D5%285%29%5E%7Bx%7D)
Step-by-step explanation:
The correct question in the attached figure
we have the function
![f(x)=5(\frac{1}{5})^{x}](https://tex.z-dn.net/?f=f%28x%29%3D5%28%5Cfrac%7B1%7D%7B5%7D%29%5E%7Bx%7D)
we know that
A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.
therefore
![f(−x) = f(x).](https://tex.z-dn.net/?f=f%28%E2%88%92x%29%20%3D%20f%28x%29.)
The reflection of the given function across the y-axis will be equal to
(Remember interchanges positive x-values with negative x-values)
![f(x)=5(\frac{1}{5})^{-x}](https://tex.z-dn.net/?f=f%28x%29%3D5%28%5Cfrac%7B1%7D%7B5%7D%29%5E%7B-x%7D)
An equivalent form will be
![f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D5%28%5Cfrac%7B1%7D%7B5%7D%29%5E%7B%28-1%29%28x%29%7D%3D5%5B%28%5Cfrac%7B1%7D%7B5%7D%29%5E%7B-1%7D%29%5D%5E%7Bx%7D%3D5%285%29%5E%7Bx%7D)
therefore
The equations that represent the reflected function are
![f(x)=5(\frac{1}{5})^{-x}](https://tex.z-dn.net/?f=f%28x%29%3D5%28%5Cfrac%7B1%7D%7B5%7D%29%5E%7B-x%7D)
![f(x)=5(5)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D5%285%29%5E%7Bx%7D)
Area of larger circle: 3.14 x 5^2 = 78.5
Area of small circle: 3.14 x 2^2 = 12.56
Difference of the 2 areas: 78.5 - 12.56 = 65.94
Probability of being in large circle but not small circle: 65.94 / 78.5 = 0.84 = 84%
The answer is A) 84%
Answer:
200
Step-by-step explanation:
If there are 2 squares next to eachother with the same area, then their perimeter is 6*sidelength.
60 = 6*sidelength
10 = sidelength
Square the sidelength to find the area of the square. 10^2 = 100
Multiply that by 2 to find the area of the rectangle. 100*2 =
200
10•8=80
so something times 80 will equal 400
80•5=400
Answer:
2.718 28...
Step-by-step explanation:
the value of e use in solving logarithm is 2.718