Determine the number of subsets of 3,4,5,6,7,8,9,10,11,12,13,14,15
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Answer:
8192
Step-by-step explanation:
The number of subsets of an n-element set is 2^n.
Your set has 13 elements, so has 2^13 = 8192 subsets.
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This count includes the empty set and the full set.
Answer:
b. the radio of feet to inches
Answer:
-5/3
Step-by-step explanation:
-8--3=-5
5-2=3
Here's the solution,
The given triangle is an <u>equilateral triangle</u>, because it's all angles measure 60° each
now,
Area of an equilateral triangle :
=》
where,
=》
=》
=》
or
=》
<span>Each team in the softball league plays each of the other teams exactly once. For every game, there is 2 team playing. The order is not important because A vs B is same as B vs A
So you just need to makes a combination of 2 that have a result of 21. If there is t number of teams, the number of matches would be:
tC2 = t!/2!(t-2)! = 21
</span>t! / (t-2)! = 21 *2
(t)(t-1)= 42
t^2 -t -42=0
(t-7)(t+6)
t=7 ; t=-6
Excluding the minus result, you got 7 teams.
