Answer:
Option B (1,10)
Step-by-step explanation:
we have
![f(x)=2(5^x)](https://tex.z-dn.net/?f=f%28x%29%3D2%285%5Ex%29)
we know that
If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)
<u><em>Verify each case</em></u>
case A) (0,0)
For x=0
![f(x)=2(5^0)\\f(x)=2(1)=2](https://tex.z-dn.net/?f=f%28x%29%3D2%285%5E0%29%5C%5Cf%28x%29%3D2%281%29%3D2)
Compare the value of f(x) with the y-coordinate of the ordered pair
![2\neq 0](https://tex.z-dn.net/?f=2%5Cneq%200)
therefore
The ordered pair is not on the graph of f(x)
case B) (1,10)
For x=1
Compare the value of f(x) with the y-coordinate of the ordered pair
![10=10](https://tex.z-dn.net/?f=10%3D10)
therefore
The ordered pair is on the graph of f(x)
case C) (0,10)
For x=0
![f(x)=2(5^0)\\f(x)=2(1)=2](https://tex.z-dn.net/?f=f%28x%29%3D2%285%5E0%29%5C%5Cf%28x%29%3D2%281%29%3D2)
Compare the value of f(x) with the y-coordinate of the ordered pair
![2\neq 10](https://tex.z-dn.net/?f=2%5Cneq%2010)
therefore
The ordered pair is not on the graph of f(x)
case D) (10,1)
For x=10
![f(x)=2(5^{10})\\f(x)=2(9,765,625)=19,531,250](https://tex.z-dn.net/?f=f%28x%29%3D2%285%5E%7B10%7D%29%5C%5Cf%28x%29%3D2%289%2C765%2C625%29%3D19%2C531%2C250)
Compare the value of f(x) with the y-coordinate of the ordered pair
![19,531,250\neq 1](https://tex.z-dn.net/?f=19%2C531%2C250%5Cneq%201)
therefore
The ordered pair is not on the graph of f(x)
Answer:
There is no fundamental difference between a “rotation” and an “orbit” and or "spin". The key distinction is simply where the axis of the rotation lies, either within or outside of a body in question. This distinction can be demonstrated for both “rigid” and “non rigid” bodies.
Step-by-step explanation:
thats what google says, hope it helps
Since
![\mathrm M_Y(t)=e^{6(e^t-1}](https://tex.z-dn.net/?f=%5Cmathrm%20M_Y%28t%29%3De%5E%7B6%28e%5Et-1%7D)
, we know that
![Y](https://tex.z-dn.net/?f=Y)
follows a Poisson distribution with parameter
![\lambda=6](https://tex.z-dn.net/?f=%5Clambda%3D6)
.
Now assuming
![\mu,\sigma](https://tex.z-dn.net/?f=%5Cmu%2C%5Csigma)
denote the mean and standard deviation of
![Y](https://tex.z-dn.net/?f=Y)
, respectively, then we know right away that
![\mu=6](https://tex.z-dn.net/?f=%5Cmu%3D6)
and
![\sigma=\sqrt6](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt6)
.
So,
Answer:
x=21
Step-by-step explanation:
since the triangle is isosceles, the two lower angles are equal.
2(2x+3)=90
4x+6=90
4x=84
x=21
Answer:
Step-by-step explanation:
0.9*2b = 1.8b
0.9*-1 = -0.9
So far we have 1.8b-0.9. It can't be simplified further.
Then, we add the 2nd part, -0.5b+1.
We have:
1.8b-0.9-0.5b+1. Next we combine like terms.
1.8b-0.5b = 1.3b.
-0.9+1 = 0.1
Then we put it together.
1.3b+0.1 is our answer.
Hope this helped! Have a nice day :D