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V125BC [204]
3 years ago
15

The answer to this please and thank you

Mathematics
1 answer:
Tom [10]3 years ago
8 0

Answer:

B

Step-by-step explanation:

4(7 {x}^{2} ) = 4 \times 7 {x}^{2}  = 28 {x}^{2}  \\

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What is the expression x - 4 represents a negative integer. What integers could X represent?
zlopas [31]
The expression x-4 will come out to be a negative integer. That means X <em>has to be </em>something that when 4 is taken away from it, the answer is still negative.

Let's try 5.
5-4 is 1. Is 1 negative? No, so that doesn't work.
4-4 is 0. 0 isn't negative either, so that doesn't work.
3-4 is -1. Is -1 negative? YES! Let's try it for 2 as well, just to be safe.
2-4 is -2. Still negative.

X can be anything less than 4. 
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3 years ago
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Step-by-step explanation:

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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}

and {3,5}, the first part adds up to 7, and its complement adds up to 8

.

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.

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3 years ago
What is the approximate area of a circular pond that has a radius of 35 meters?​
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A=r^ 2 * pi=35^ 2 *3.14=3846.5m
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The median is the same thing as?
dusya [7]

Answer:

The median is NOT the same thing as a quartile.

The median is a measure of center.

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3 years ago
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