Answer:
400 cubic units
Step-by-step explanation:
The volume of a square prism is
. Plugging in the given values, you get:
![\dfrac{1}{3}\cdot 10^2 \cdot 12= 400](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5Ccdot%2010%5E2%20%5Ccdot%2012%3D%20400)
Hope this helps!
<u>Given:</u>
The given function is ![f(x)=\frac{3}{7}(2)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3%7D%7B7%7D%282%29%5E%7Bx%7D)
We need to determine the reflection of f(x) over the x - axis
<u>Reflection over x - axis:</u>
The translation rule to reflect over the x - axis is given by
![(x, y) \rightarrow(x,-y)](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%5Crightarrow%28x%2C-y%29)
Reflecting the function over the x - axis, we get;
![-y=\frac{3}{7}(2)^{x}](https://tex.z-dn.net/?f=-y%3D%5Cfrac%7B3%7D%7B7%7D%282%29%5E%7Bx%7D)
Multiplying -1 to both sides of the equation, we have;
![y=-\frac{3}{7}(2)^{x}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B7%7D%282%29%5E%7Bx%7D)
This can be written as
![g(x)=-\frac{3}{7}(2)^{x}](https://tex.z-dn.net/?f=g%28x%29%3D-%5Cfrac%7B3%7D%7B7%7D%282%29%5E%7Bx%7D)
Hence, the reflection of the function over the x - axis is ![g(x)=-\frac{3}{7}(2)^{x}](https://tex.z-dn.net/?f=g%28x%29%3D-%5Cfrac%7B3%7D%7B7%7D%282%29%5E%7Bx%7D)
Thus, Option A is the correct answer.
Step-by-step explanation:
potential energy of the particles
Answer:
32
Step-by-step explanation:
I am pretty sure the answer is 32