Step-by-step explanation:
4) p(x)=256
p(x)=2 ^ x+2
256=2 ^ x+2
2⁸= 2 ^ x+2
8=x+2
x=8-2=6
5)243=3 ^ x+3
3×3×3×3×3 = 3 ^ x+3
3⁵= 3^ x+3
5 = x+3
x=5-3=2
Answer:
6^-12
Step-by-step explanation:
Formula : -
a^m / a^n = a^( m - n )
Here,
a = 8
m = 4
n = 16
8^4 / 8^16
= 6^( 4 - 16 )
= 6^-12
Answer:
Yes
Step-by-step explanation:
3²+4²=5²
9+16=25
25=25
32 people each get a pint and 1 pint is roughly 0.125 gallons so assuming that the pitcher can hold one gallon each then it would be 4 pitchers D is your answer.
318 students voted in the election.
Step-by-step explanation:
Given,
Votes received by Juan = 236 votes
Let x represent the number of total votes.
According to given statement;
Juan received 130 more than 1/3 of total votes.
![236=\frac{1}{3}x+130\\\\236-130=\frac{1}{3}x\\\\106=\frac{1}{3}x\\\\\frac{1}{3}x=106](https://tex.z-dn.net/?f=236%3D%5Cfrac%7B1%7D%7B3%7Dx%2B130%5C%5C%5C%5C236-130%3D%5Cfrac%7B1%7D%7B3%7Dx%5C%5C%5C%5C106%3D%5Cfrac%7B1%7D%7B3%7Dx%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7Dx%3D106)
Multiplying both sides by 3
![3*\frac{1}{3}x=106*3\\x=318](https://tex.z-dn.net/?f=3%2A%5Cfrac%7B1%7D%7B3%7Dx%3D106%2A3%5C%5Cx%3D318)
318 students voted in the election.
Keywords: fraction, division
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