Answer:
16^25
Step-by-step explanation:
The applicable relation is ...
(a^b)^c = a^(bc)
2^100 = 16^x = (2^4)^x = 2^(4x)
Equating exponents, we have ...
100 = 4x
25 = x
Then 2^100 = 16^25.
Answer:
21
ctto JBarnum
Step-by-step explanation:
P+11=(1/2)(P-13)^2
P+11=(1/2)(P^2-26p+169)
2(P+11)=(1/2)(2)(P^2-26p+169)
2P+22=P^2-26p+169
0=P^2-28p+147 ( -7 and -21)
(P-7)(P-21)=0
P=7,21 (cant be 7 as 13 years from 7 is negative so peter is 21)
checking:
21+11=32
32=(1/2)(21-13)^2
32=(1/2)(8)^2
32=(1/2)64
32=32
correct
A1=24
<span>n=500(seq #) </span>
<span>d=how much u add each time=6 </span>
<span>a(n)=24+(500-1)(6)=3018</span>
You use the rule , y2-y1/x2-x1 , to find the slope so the answer will be = 0-2/4-1 = -2/3
Answer:
332, 333, 334
Step-by-step explanation:
First, we acknowledge that the equation that we need to solve will be "x+(x+1)+(x+2)=999" This is because x represents the smallest of three consecutive numbers whose sum is 999. Simplifying this equation will leave us with 3x+3=999 which is simplified further to 3x=996 and again simplified to x=332. X is the smallest number of the three.