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2 years ago

What is m<1 if m<7 = 60°?

Mathematics

1 answer:

garri49 [273]2 years ago

8 0

Answer:

m<1 = 60° if m<7=60°

Step-by-step explanation:

The are the same angle degree.

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Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum

const2013 [10]

Answer: The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

$S=\sum_{i=1}^{\infty}15(4)^{i-1}.$

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, $\sum_{i=1}^{\infty}a_i$ is an infinite series, with complex coefficients $a_i$ and we consider the following limit:

$L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.$

Then, the series will be convergent if L < 1 and divergent if L > 1.

For the given series, we have

$a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.$

So, the limit is given by

$L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.$

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0

4 years ago

Read 2 more answers

Christine went shopping and bought each of her eighteight nephews a gift, either a video costing $14.95 or a CD costing $16.8

pogonyaev

So I think you should set up an equation like this: 14.95x+16.88y=131.18 , x+y=8

so x=8-y, plug this into the original equation:
14.95(8-y)+16.88y=131.18
Evaluate: 119.60-14.95y+16.88y=131.18
Combine like terms: 119.60+1.93y=131.18
Subtract 119.60 from both sides. You get: 1.93y=11.58
Divide both sides by 1.93. You get y=6

Plug into second equation: x+y=8 ---> x+6=8 and solve for x. x=2

Christine bought 2 video games and 6 CDs. 14.95(2)+16.88(6)=131.18

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3 years ago

What is the area around the fence if it’s 6 around and 7 length

patriot [66]

Answer:

Step-by-step explanation:

The formula for area is length multiplied by width

7 X 6 = 42

hope this helps :)

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3 years ago

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What is 2.3e-5 because I don't know what it is.

astraxan [27]

0.000023 i hope that helps

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3 years ago

Pls helppp very easy c:

Zielflug [23.3K]

Answer:

2 56 0 56 18 0 3 0 20 12 12 54 7 64 18 25 24 0 0 28 14 8 6 24 35 9 27 48 40 1 0 3 18 16 8 7 0 0 36 48 49 28 40 42 15 6 27 16 36 8 0 32 81 4 30 0 0 9 32 10 30 2 45 16 5 0 0 14 35 18 0 54 0 12 36 24 4 8 10 18 72 6 63 12 0 21 0 24 63 0 21 20 9 15 45 0 6 72 5 4

Step-by-step explanation:

This hurt my soul but enjoy

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2 years ago

What is m<1 if m<7 = 60°?​

What is m<1 if m<7 = 60°?