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Using the permutation formula, it is found that the people can be chosen for the roles in 6840 ways.
The order in which the people are chosen is important, as there are different roles, hence the <em>permutation formula</em> is used.
<h3>What is the permutation formula?</h3>The number of possible permutations of <u>x elements from a set of n elements</u> is given by:
In this problem, 3 people will be chosen from a set of 20 people, hence the number of ways is given by:
More can be learned about the permutation formula at brainly.com/question/25925367
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Answer:
- 40 ft
- t = 1 second
Step-by-step explanation:
A graphing calculator answers these questions easily.
The ball achieves a maximum height of 40 ft, 1 second after it is thrown.
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The equation is usefully put into vertex form, as the vertex is the answer to the questions asked.
h(t) = -16(t^2 -2t) +24
h(t) = -16(t^2 -2t +1) +24 +16 . . . . . . complete the square
h(t) = -16(t -1)^2 +40 . . . . . . . . . vertex form
Compare this to the vertex form:
f(x) = a(x -h)^2 +k . . . . . . vertex (h, k); vertical stretch factor 'a'
We see the vertex of our height equation is ...
(h, k) = (1, 40)
The ball reaches a maximum height of 40 feet at t = 1 second after it is thrown.
Answer:
A. horizontal reflection
Step-by-step explanation:
Given:
To identify the type of transformation.
Solution:
On close observation of the functions we find the that sign of has changed in
with other terms being constant.
<em>Thus, the transformation statement can be given as:</em>
As:
The transformation describes horizontal reflection of function across the y-axis.
Thus, is horizontally reflected across y-axis to get
.