Answer:
56.43
Step-by-step explanation:
52.25 + 4.18 (8% tax)
Answer:
The answer would be 11.3
Step-by-step explanation:
All you have to do is figure out how far one is from the other so from 7.8 I went back to 0 of course the Y coordinate stays the same. So then you get the -3.5 make it a positive so just 3.5 and then add to 7.8 to get 11.3
Hope this helped.
A brainliest is always appreciated.
Since none of the options make sense with 23, I assume it was a typo, and you meant 2/3.
Let l,w and h be the length, width and height of the original prism, and l',w' and h' be the length, width and height of the new prism. We are given
Also, if we call V the original volume, and V' the volume of the new prism, we have
Substitute the expressions for l', h' and w' in the formula for V':
Step-by-step explanation:
f(x) = 1 / (5 + x)
Divide top and bottom by 5.
f(x) = ⅕ / (1 + ⅕x)
f(x) = ⅕ / (1 − (-⅕x))
Write as a geometric series.
f(x) = ∑ₙ₌₀°° ⅕ (-⅕x)ⁿ
f(x) = ∑ₙ₌₀°° ⅕ (-1)ⁿ (⅕)ⁿ xⁿ
f(x) = ∑ₙ₌₀°° (-1)ⁿ (⅕)ⁿ⁺¹ xⁿ
Use ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-1)ⁿ⁺¹ (⅕)ⁿ⁺² xⁿ⁺¹] / [(-1)ⁿ (⅕)ⁿ⁺¹ xⁿ]│< 1
lim(n→∞)│-1 (⅕) x│< 1
│x/5│< 1
│x│< 5
-5 < x < 5
If x = -5, ∑ₙ₌₀°° ⅕ (-1)ⁿ (⅕)ⁿ (-5)ⁿ = ∑ₙ₌₀°° ⅕ (1)ⁿ, which diverges.
If x = 5, ∑ₙ₌₀°° ⅕ (-1)ⁿ (⅕)ⁿ (5)ⁿ = ∑ₙ₌₀°° ⅕ (-1)ⁿ, which diverges.
The interval of convergence is therefore (-5, 5).
