The series converges to 1/(1-9x) for -1/9<x<1/9
Given the series is ∑ 
We have to find the values of x for which the series converges.
We know,
∑ 
converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, ∑ 
is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for -1/9<x<1/9
And geometric series converges to a/(1-r)
Here, a = 1 and r = 9x
Therefore, a/(1-r) = 1/(1-9x)
Hence, the given series converges to 1/1-9x for -1/9<x<1/9
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Answer:
i think it is 234 i am not sure
Step-by-step explanation:
x+y=19 and 6.5x+3y=74.5 can be used to determine the number of gifts wrapped and number of giftbags prepared where x represents the wrapped gifts and y represents giftbags.
Step-by-step explanation:
Let,
x be the gift wrapped with wrapping paper.
y be the gifts in gift bag.
Time for wrapping one gift = 6.5 minutes
Time for doing 1 gift bag = 3 minutes
Total gifts = 19
Total time = 74.5 minutes
According to given statement;
x+y=19
6.5x+3y=74.5
x+y=19 and 6.5x+3y=74.5 can be used to determine the number of gifts wrapped and number of giftbags prepared where x represents the wrapped gifts and y represents giftbags.
Keywords: linear equation, addition
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Answer:
3/8 = 9/24
Step-by-step explanation:
So here we have a basic multiplication problem and finding the LCM of 8 and 3. The first step in this problem is finding the LCM of 3/8. The LCM of 3 and 8 is 24. So yay! we have the bottom half of our answer!
Ex.-
The LCM of 8 and 3 is 24.
So now we have to find an equivalent fraction. Since we already know that 8 (the denominator in the original equation) can be multiplied by 3 to equal 24, we use 3 (the numerator in the original equation) and multiply it by itself to get an equivalent fraction.
Ex.-
8 x 3 = 24
3 x 3 = 9
Now that we have our numerator and denominator, all we have to do now is put them together to get our answer.
Ex.-
9/24 (answer) = 3/8 (original equation)
Hopefully I could help! :)
4[5(12*3)-2]-7
4[5(36)-2]-7
4[180-2]-7
4[178]-7
712-7= 705 :)
