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Rudiy27
3 years ago
8

How far do you need to continue the division of 1 by 7 to know the answer?

Mathematics
1 answer:
sergejj [24]3 years ago
7 0

Answer:

Step-by-step explanation:

upto 7digits after decimals

1/7 = 0.1428571

1/7 is a non terminating repeating rational number. .142857 is set that repeats again

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2 years ago
How many subsets of {1, 2, 3, 4, 6, 8, 10, 15} are there for which the sum of the elements is 15?
stepladder [879]

Answer:

512

Step-by-step explanation:

Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7

.

For instance, if I divide the set into parts {1,2,4}

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Once one makes that observation, the rest of the proof is straightforward. There are 25=32

different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.

8 0
3 years ago
What is the slope of a line that passes through the points (-3,-6) and (8, 16) ?
denis-greek [22]

Answer:

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Step-by-step explanation:

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2 years ago
It’s due in an hour please help
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3 years ago
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8 0
3 years ago
Read 2 more answers
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