What is -3 times x squared?-9x
Answer:
There are 364 ways of filling the offices.
Step-by-step explanation:
In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:
where n=14 (number of members)
r=3 number of offices
n!=n·(n-1)·(n-2)·...·3·2·1
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.
Since the hundred place is the 4 and the tens place is higher than 5 ( it is 7) to round to the hundreds place it would be 9500
Answer:
a
Step-by-step explanation:
a=-4 r=12/-4=-3
T7= ar^n-1
= (-4)(-3)^7-1
=-2916