Answer:
(x + 3)(x + 4) = 110
or x² + 7x + 12 = 110
Step-by-step explanation:
Answer:
B. 196 units squared
Step-by-step explanation:
The formula of a prism is V = Bh
= (1/2 bh) h
=(1/2 x 7 x 14) x 4
= (3.5 x 14) x 4
=49 x 4
= 196 units squared
I haven't did these type of questions in a while, but i think my answer is correct. Hope it helps :)
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:
Hi there!
Your answers are:
1) 38^10
2) 20^3
Step-by-step explanation:
1) Theres a property that goes like this:
(x^m)^n = x^mn
When you do a power of a power, you multiply them together!
2) There's a property that looks like this:
x^ m / x^n = x^ m-n
When dividing exponents, subtract!
Hope this helps!
Answer:
in order from images displayed, x = 20, x = 6, x = 5.5
Step-by-step explanation:
4x - 8 + 6x - 12 = 180
10x -20 = 180
10x = 200
x = 20
5x - 1 = 29
5x = 30
x = 6
14x - 6 = 12x + 5
2x = 11
x = 5.5
