Answer:
3pound sugar .,......................
Given:
To find:
The value of given expression by using the Laws of Exponents.
Solution:
We have,
Using the Laws of Exponents, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
![[\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5En%3D%5Cdfrac%7Ba%5En%7D%7Bb%5En%7D%5D)
Therefore, the value of given expression is 
.
Answer:
a. an = -1 • 4^(n - 1)
Step-by-step explanation:
It's easy see that each term is multiplied by 4 to get the next term, so the common ratio will be 4, that reduces the choices to answers A and B (since C and D use -1 as common ratio). Also, normally a geometric progression uses "n-1", so we'll first try with A to see if it works.
a1 = (-1) * 4^0 = -1 * 1 = -1
a2 = (-1) * 4^1 = -1 * 4 = -4
a3 = (-1) * 4^2 = -1 * 16 = -16
Yes, it works... so the answer is an = -1 • 4^(n - 1)
Answer:
Step-by-step explanation:
The graph certainly is, if you ignore the fact that you don't know what the equation for the graph is.
Each x has only 1 y associated with it. That's the definition of a function. This one presumably follows that definition, but I caughten you, without the equation, you can't be sure.
Use the divergence theorem.
Calling the closed region
and its boundary the surface
, we have by the divergence theorem,
We set up the volume integral in cylindrical coordinates, using
