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Anna11 [10]
3 years ago
11

Find the sum of this infinite geometric series 1/7+ 1/49 + 1/343

Mathematics
2 answers:
pochemuha3 years ago
6 0
-1/6 or -1/8 or 1/6 or 1/8 one of these for sure 

marusya05 [52]3 years ago
5 0

The sum of the infinite geometric series

a+ar+ar^2+... where a is the first term and r common ratio -1 is \frac{a}{1-r}.

Here the given series is \frac{1}{7} +\frac{1}{49} +\frac{1}{343} +....

Here a=1,r=\frac{1}{7}. The sum of the infinite geometric series is

\frac{1}{1-1/7} =\frac{7}{6}

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Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 ki
Lena [83]
Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia

Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.

The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.

 by the pythagorean theorem:

MS= \sqrt{ 7^{2} + 11^{2} }= \sqrt{49+121}= \sqrt{170}=  13 (km)


Answer: 13 km

3 0
3 years ago
Read 2 more answers
What is the probability of drawing the compliment of a king or a
inna [77]

Answer:

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

n( E_{1} ) = 4 _{C_{1} }  = 4

Let E₂ be the event of the card drawn being a queen

n( E_{2} ) = 4 _{C_{1} }  = 4

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

<u><em>step(ii):-</em></u>

The probability  of drawing of a king or a  queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

                 = \frac{4}{52} + \frac{4}{52}

P( E₁ U E₂ ) = \frac{8}{52}

<u><em>step(iii):-</em></u>

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards

P(E_{1}UE_{2})  ^{-} = 1- P(E_{1} U E_{2} )

P(E_{1}UE_{2})  ^{-} = 1- \frac{8}{52}

P(E_{1}UE_{2})  ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846

<u><em>Conclusion</em></u>:-

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

5 0
2 years ago
2 1/2 x 3 1/5 fast please
vova2212 [387]

Step-by-step explanation:

<u>Let's turn each mixed fraction into an improper fraction:</u>

2 \frac{1}{2} =\frac{2}{2} +\frac{2}{2} +\frac{1}{2} =\frac{5}{2}

3\frac{1}{5} =\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{1}{5} =\frac{16}{5}

<u>Multiply:</u>

\frac{5}{2} \times \frac{16}{5} =\frac{80}{10}

<u>Simplify:</u>

\frac{80 \div 10}{10 \div 10} =\frac{8}{1} =8

8 is your simplified product.

4 0
2 years ago
For f(x) =
vovangra [49]

Answer:

https://discord.com/invite/xer7nSk

join this server using this link

this will help me find you easier

I got most of the answers so contact me fast. I also need ur help with the assignments, but can give the quiz ones in exchange.

4 0
2 years ago
Divide:<br><br> 16)160<br><br> A. 10<br><br> B. 11<br><br> C. 16<br><br> D. 26<br><br> E. 100
grin007 [14]

Answer:

10

Step-by-step explanation:

your welcome...............

3 0
3 years ago
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