Hello please help with the following i've been up all night i need help(SHOW WORK):
1 answer:
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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:
12 cups.
Step-by-step explanation:
Let x be the total cups of strawberries picked by Margo.
We have been given that Margo freezes 8 cups of strawberries and this is 2/3 of the total strawberries that she picked.
We need to find x such that 2/3 of x equals 8. We can represent this information in an equation as:
Let us multiply both sides of our equation by 3.
Let us divide both sides of our equation by 2.
Therefore, Margo picked 12 cups of strawberries.
I'm going to divide number one to 6 parts
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because to make the denominator to 100, you need to multiply 10 by 10 which is 100.
and because you multiply 10, you also have to multiply the numerator by 10.
EXAMPLES:
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2.
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5.
6.
because to make the denominator to 100, you need to multiply 10 by 10 which is 100.
and because you multiply 10, you also have to multiply the numerator by 10.
EXAMPLES: