<span>let P(n)=4n² / n²+10000n
when n ----------> infinity, the main rule is as follow
lim </span><span>P(n)=4n² / n²+10000n = lim </span>P(n)=4n² / n²= lim 4= 4
n ----------> infinity <span> n ----------> infinity </span><span>n ----------> infinity
finally
</span>
<span>Lim->infinity 4n^2/n^2+10000n
= 4</span>
Answer:
Every week, the radioactivity decreases by a factor of 5
After 1 week, it goes from 5,000 to 1,000
2 weeks 1,000 / 5 =200
3 weeks 200 / 5 = 40
4 weeks 40 / 5 = 8
5 weeks 8 / 5 = 1.6
6 weeks 1.6 / 5 = 0.064
7 weeks 0.064 / 5 = 0.0128
8 weeks .0128 / 5 = 0.00256
9 weeks 0.00256 / 5 = 0.000512
10 weeks 0.000512 / 5 = 0.0001024
Step-by-step explanation:
Answer:
-36/15
Step-by-step explanation:
If the indefinite integral of f(x)dx is F(x), then your integral from 1 to 5 is ...
F(5) -F(1) = 36/15
The integral in the reverse direction is ...
F(1) -F(5) = -(F(5) -F(1)) = -36/15
Take the -3/5 and add it to 1/30 which would equal 19/30, so x= 19/30
Answer: 2a^2+22a+−1
Step-by-step explanation:
Let's simplify step-by-step.
2a^2−5a+(9)(3)a−1
=2a^2+−5a+27a+−1
Combine Like Terms:
=2a^2+−5a+27a+−1
=(2a^2)+(−5a+27a)+(−1)
=2a^2+22a+−1
