Answer:
16X*8Y*6
=............................
The question is incomplete and a question match couldn't be found online. However, an hypothetical solution will be provided
Answer:
Kindly check explanation
Step-by-step explanation:
We can make prediction about a population based on the outcome of a sample statistic.
From a random sample of voters, n ; the number who voted Smith = x
(p = x / n) gives the proportion of votes Smith will get according to the sample :
For instance :
n = 100 ; x = 10
p = 10 / 100 = 0.1
The predicted Number of votes Smith will Get if there are 10000 voters :
p * 10000
0.1 * 10000
= 1000 votes
Answer:
C. b^27
Step-by-step explanation:
By the definition of exponents
![(b^9)^3=b^9*b^9*b^9](https://tex.z-dn.net/?f=%28b%5E9%29%5E3%3Db%5E9%2Ab%5E9%2Ab%5E9)
And since for any real numbers
and ![y](https://tex.z-dn.net/?f=y)
![r^x*r^y=r^{(x+y)}](https://tex.z-dn.net/?f=r%5Ex%2Ar%5Ey%3Dr%5E%7B%28x%2By%29%7D)
This makes
![(b^9)^3=b^9*b^9*b^9=b^{{9+9+9}}=\boxed{b^{27}}](https://tex.z-dn.net/?f=%28b%5E9%29%5E3%3Db%5E9%2Ab%5E9%2Ab%5E9%3Db%5E%7B%7B9%2B9%2B9%7D%7D%3D%5Cboxed%7Bb%5E%7B27%7D%7D)
Which is choice C.
Alternatively, we could use the identity
![(r^x)^y=r^{xy}](https://tex.z-dn.net/?f=%28r%5Ex%29%5Ey%3Dr%5E%7Bxy%7D)
in which case
![(b^9)^3=b^{(9*3)}= \boxed{b^{27}}](https://tex.z-dn.net/?f=%28b%5E9%29%5E3%3Db%5E%7B%289%2A3%29%7D%3D%20%5Cboxed%7Bb%5E%7B27%7D%7D)
which is the same answer.
Answer:
y = ![6\sqrt{5}](https://tex.z-dn.net/?f=6%5Csqrt%7B5%7D)
Step-by-step explanation:
x^2 + z^2 = 29^2
x^2 = y^2 + 9^2
y^2 + 20^2 = z^2
29^2 - z^2 = y^2 + 81 (equating for x^2 from eqn 1 and 2)
substitute 3rd eqn in 4th
29^2 - (y^2 + 20^2) = y^2 + 81
841 - y^2 - 400 = y^2 + 81
441 = 2y^2 + 81
360 = 2y^2
y^2 = 180
y = ![\sqrt{180}](https://tex.z-dn.net/?f=%5Csqrt%7B180%7D)
= ![\sqrt{36*5} \\](https://tex.z-dn.net/?f=%5Csqrt%7B36%2A5%7D%20%5C%5C)
y = ![6\sqrt{5}](https://tex.z-dn.net/?f=6%5Csqrt%7B5%7D)