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Nady [450]
2 years ago
15

What common ratio would cause a geometric series to converge

Mathematics
1 answer:
iVinArrow [24]2 years ago
6 0

Answer:0

Step-by-step explanation:

The sum of a convergent geometric series can be calculated with the formula a ⁄ 1 – r, where “a” is the first term in the series and “r” is the number getting raised to a power. A geometric series converges if the r-value (i.e. the number getting raised to a power) is between -1 and 1. So the answer is 0

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26) Hailey is 3 times as old as Maverick.
Dahasolnce [82]

Let H = Hailey's age and M = Maverick

Hailey is 3 times as old as Maverick: H = 3M

The sum of their ages is 48 years: H + M = 48

Since H = 3M, substitute 3M in place of H in the second equation:

H + M = 48

3M + M = 48

4M = 48

M = 12

Maverick is 12 years old. Hailey = 3M = 3(12) = 36 years old.

5 0
3 years ago
Read 2 more answers
What is the area, in square inches, of the rectangle below?
chubhunter [2.5K]
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2 years ago
Prove that (4n+1)^2(4n-1)^2 is a multiple of 8 for all integers of n.<br><br> thanks.
azamat

Answer: i think  (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:

(4n + 1)²(4n - 1)²

= [(4n + 1)(4n - 1)]²

= (16n² - 1)²

= 16².n².n² - 2.16.n² + 1

= 8n²(32n² - 4) + 1

can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8

=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.

Step-by-step explanation:

6 0
3 years ago
a winery has a vat with two pipes leading to it. the inlet pipe can fill the vat 7 hours, while the outlet pipe can empty it in
raketka [301]
Lets say, for ease, that the vat can hold a total of 70 gallons (or whatever you would like to use.) Use whatever number you want, I just picked this because it gives us a lot of clean numbers. 

Now, if the inlet can fill it in 7 hours, that means that it is adding 10 gallons per hour. (70 gal/7 hours = 10 gal/hr)

For the outlet, use the same process, and you find that it drains the vat at 7 gallons per hour. 

So, if you subtract the outlet from the inlet, you get 10 - 7 = 3 gallons per hour added. 

Now just divide the size of the vat by that number, and you find your answer. 

70 gallons / 3 gallons per hour = 23 1/3 hours. 
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Pls help solve!!!!!!!!
Svetradugi [14.3K]
Its also 40°30' because the median is also a bisector in isosceles triangle
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