The first answer is x=63
the second one is x=10
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.
The statements that are true are
- This graph is a function because the value of x is the same for every value of y
- The equation of this line is x = 3. Options B and D
This is further explained below.
<h3>What are the
statements?</h3>
Generally, A relation is considered to be a function if it can be shown that each value from the set of first components of ordered pairs is connected with precisely one value from the set of second components of ordered pairs.
In conclusion, You may also consider this in terms of the fact that there is one and only one y associated with each x.
Although it is obvious that this is not the case, the calculation for the vertical line nevertheless uses these terms.
Read more about function
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Answer:
14.24 foot far is the mirror from the base of the statue.
Step-by-step explanation:
Proportion states that the two ratios or fractions are equal.
As per the statement:
See the diagram as shown below:
Height of a boy = 5.9 foot tall
Height of a statue = 12 foot.
Distance of a boy from the mirror = 7 feet.
Let x be the distance of the mirror from the base of the statue.
then by definition of proportion we have;
Substitute the given values we have;
By cross multiply we have;
Divide both sides by 5.9 we have;
x = 14.24 ft
Therefore, 14.24 foot far is the mirror from the base of the statue.
