Answer:
1. 4
2. 6.4
3. 10.0828313253
Explanation:
2.
15/12=1.25
8/1.25=6.4
3. ill write explanation for 3 later im occupied those are the correct answers
problably they want you to round to nearest tenth
I believe the answer is (a+c, b) but I'd double check to make sure.
Answers:
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Explanation:
If a set has n elements inside it, then it has 2^n different subsets.
Consider a set like {a,b,c}. It has n = 3 elements.
It has 2^n = 2^3 = 8 subsets
Those 8 subsets are...
- {a,b,c} ..... any set is a subset of itself
- {a,b}
- {a,c}
- {b,c}
- {a}
- {b}
- {c}
- { } .... the empty set
As you can see, each subset consists of items that are selected from the original set {a,b,c}. We can't have any repeat letters.
In that list, items 2 through 4 represent subsets with exactly two things inside it. Items 5 through 7 are known as singletons as they only have one item inside each set. The empty set can be written with the symbol
or you could have a pair of braces with nothing inside them. The empty set is a subset of any set.
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Note how I included {a,b,c} as a subset. Any set is a subset of itself.
A proper subset will ignore the original set and only look at smaller subsets. If we say B is a proper subset of A, then set B will have fewer items compared to set A. Without the "proper" in there, it's possible that A = B.
So all we've done really is kick out one set which drops 2^n to (2^n)-1 when counting the number of proper subsets. I'm using parenthesis to indicate the "-1" is not part of the exponent. If you wrote this on your paper, then you would likely write 
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For this problem, n = 11
This means there are 2^n = 2^11 = 2048 subsets and (2^n)-1 = 2048-1 = 2047 proper subsets.
10 km
Step-by-step explanation:
If 4 cm represents 8 kilometers then 1 cm represents;
8 / 4
= 2
1 cm : 2 km
How, then, about 5 cm – the distance between Sophie's home and school?
5 cm : ? km
A cross multiplication;
1 cm : 2 km
5 cm : x km
(5 * 2) = 1 x
x = 10/1
x = 10
Answer:
It’s blurry but I think it’s an obtuse triangle
Step-by-step explanation:
Maybe a right triangle