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Alona [7]
3 years ago
11

AOT's new opening is better than every other one agree or disagree?

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

Answer:

Nope, I still think Aot Op 2 is by far the best probably because of all the dramatization that occurs within it.

Step-by-step explanation:

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How far will a wheel with a radius of 3.5 feet travel in 500 revolutions? (Use 22/7 for tt)
storchak [24]
<span>C = 2πr
C = 2(2/7)(3.5)
= 22
Distance traveled by the wheel in one revolution is 22 feet.
Distance traveled in 500 revolutions will be: 500 x 22 = 11,000 feet.</span>
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3 years ago
What is the explicit formula for the nth term of a(n)=12a(n-1, where the 1st term is .001?
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\left\{\begin{array}{ccc}a_1=0.001\\a_n=12a_{n-1}\end{array}\right\\\\\boxed{a_n=0.001\cdot12^{n-1}}
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For a spear with a radius of 8 what is the surface area​
UkoKoshka [18]
Solution
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3 years ago
Does the series converge or diverge? If it converges, what is the sum? Show your work. ∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
Mekhanik [1.2K]

Answer:

Step-by-step explanation:

Given the series,

∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1

I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)

So,

∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞

There are different types of test to show if a series converges or diverges

So, using Ratio test

Lim n → ∞ (a_n+1 / a_n)

Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))

Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))

Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)

Lim n→ ∞ (-1/2)^(n-n+1)

Lim n→ ∞ (-1/2)^1 = -1/2

Since the limit is less than 0, then, the series converge...

Sum to infinity

Using geometric progression formula

S∞ = a / 1 - r

Where

a is first term

r is common ratio

So, first term is

a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1

a_1 = -4

Common ratio r = a_2 / a_1

a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2

a_2 = 2

Then,

r = a_2 / a_1 = 2 / -4 = -½

S∞ = -4 / 1--½

S∞ = -4 / 1 + ½

S∞ = -4 / 3/2 = -4 × 2 / 3

S∞ = -8 / 3 = -2⅔

The sum to infinity is -2.67 or -2⅔

Check attachment for better understanding

3 0
3 years ago
If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?
aksik [14]

Answer:

The leading coefficients of f(x) and g(x) are opposites.

4 0
3 years ago
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