Answer:
Its the third one
Step-by-step explanation:
its the only negative one
4.5(4-x) + 36 = 202 - 2.5(3x + 28)
Distributive property
18 - 4.5x + 36 = 202 - 7.5x - 70
Combine like terms
-4.5x + 54 = -7.5x + 132
Add 7.5x to both sides
3x = 78
Divide both sides by 3
x = 26
Answer: What's the exponents?
Step-by-step explanation:
5.2+3.01=8.21
but then there's no exponents that you stated. So it would be 8.21x10^?
If the tens do have exponents above them, add them together.
I hope this answer helps you!
Answer:
∑ (-1)ⁿ⁺³ 1 / (n^½)
∑ (-1)³ⁿ 1 / (8 + n)
Step-by-step explanation:
If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.
Option A: (-1)²ⁿ is always +1. So an =│an│and both series converge (absolutely convergent).
Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).
Option C: an = 1 / n³ isn't an alternating series. So an =│an│and both series converge (p series with p > 1). This is absolutely convergent.
Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series. bn = 1 / (8 + n), which diverges. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Answer:
V ≈ 5575.28
Step-by-step explanation:
First, you will get the radius and in order to get the radius you have to divide 22/2 which will give you 11 then you will plug 11 into the formula which is V= 4/3 pi r^3 then it will come out as this V=4/3 pi 11^3 and if you plug that into the calculator it will give you an answer of 5575.28.
