Answer:
128 posibilities
Step-by-step explanation:
We have 7 colleges (A,B,C,...,H) which form a set with seven elements.
What you are asking is the number of elements (or cardinality) of the set that contains all possible sets formed by those 7 elements (or the "power set").
It is known that if n is the number of elements of a given set X, then the cardinality of the power set is .
Therefore, there are or 128 possibilities (or elements) for the set of colleges that he applies to.
Answer:
<u>Step-by-step explanation:</u>
The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h
1) y = -2(x - 4)² - 1 → a = -2 (h, k) = (4, -1)
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2) x = (y - 1)² + 2 → a = 1 (h, k) = (2, 1)
Answer: Tom hit the bullseye 23 times .
Step-by-step explanation:
Let the number of times Tom hit the bullseye be 'x'
Since we have given that
Total number of times Tom shot = 55
Number of times he missed the shot be '55-x'
Number of bullets he already have = 10
According to question, For every time, he got bullseye, the father gave him an extra bullet and after every miss he took one away.
At last he ran out of bullets.
So, it becomes,
Hence, Tom hit the bullseye 23 times .
Answer:
Step-by-step explanation:
Given an hyperbola with the following conditions:
The following holds:
Since the intercepts are 6 units to either side of the center, then a = 6 and
Therefore, substituting and
into the standard form