Answer:
a) Suppose that F is ordered in ascending order: 
. Then, the complement of F can be written as
which is the union of a finite number of open intervals, then 
is an open set. Thus, F is a closed subset of the real numbers.
b) Take an arbitrary element of F, let us say 
. Now, choose a real number 
such that
there are not other element of F, because is less that the minimum distance between and its neighbors.
In case that 
we only consider 
, and if 
we only consider 
.
Then, all points of F are isolated.
Step-by-step explanation:
Using the Fundamental Counting Theorem, the sample size of these outcomes is of 12.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with 
ways to be done, each thing independent of the other, the number of ways they can be done is:
Considering the number of options for Entree, Side and Drink, the parameters are:
n1 = 3, n2 = 2, n3 = 2.
Hence the sample size of outcomes is:
N = 3 x 2 x 2 = 12.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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Answer:
%80
Step-by-step explanation:
Answer:
the part of second is 4second p
Check the picture below, so it reaches the maximum height at the vertex, let's check where that is
![h(t)=64t-16t^2+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+64}t\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 64}{2(-16)}~~~~ ,~~~~ 0-\cfrac{ (64)^2}{4(-16)}\right)\implies \stackrel{maximum~height}{(2~~,~~\stackrel{\downarrow }{64})}](https://tex.z-dn.net/?f=h%28t%29%3D64t-16t%5E2%2B0%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Bvertex%20of%20a%20vertical%20parabola%2C%20using%20coefficients%7D%20%5C%5C%5C%5C%20h%28t%29%3D%5Cstackrel%7B%5Cstackrel%7Ba%7D%7B%5Cdownarrow%20%7D%7D%7B-16%7Dt%5E2%5Cstackrel%7B%5Cstackrel%7Bb%7D%7B%5Cdownarrow%20%7D%7D%7B%2B64%7Dt%5Cstackrel%7B%5Cstackrel%7Bc%7D%7B%5Cdownarrow%20%7D%7D%7B%2B0%7D%20%5Cqquad%20%5Cqquad%20%5Cleft%28-%5Ccfrac%7B%20b%7D%7B2%20a%7D~~~~%20%2C~~~~%20c-%5Ccfrac%7B%20b%5E2%7D%7B4%20a%7D%5Cright%29%20%5C%5C%5C%5C%5C%5C%20%5Cleft%28-%5Ccfrac%7B%2064%7D%7B2%28-16%29%7D~~~~%20%2C~~~~%200-%5Ccfrac%7B%20%2864%29%5E2%7D%7B4%28-16%29%7D%5Cright%29%5Cimplies%20%5Cstackrel%7Bmaximum~height%7D%7B%282~~%2C~~%5Cstackrel%7B%5Cdownarrow%20%7D%7B64%7D%29%7D)
