<h3>
Answer: 4</h3>
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Explanation:
We're given the following
which means that we have a set of natural numbers between 30 and 56, excluding both endpoints, and the set of numbers are also multiples of 6.
So looking at the multiples of 6 that are between 30 and 56 leads us to
{30, 36, 42, 48, 54}
but we cross off 30 as we want x to be larger than that, so we get this updated final list
{36, 42, 48, 54}
There are four items in this final list so the cardinality of the set described is 4. The cardinality is just the number of items in a given set.
It states that the ultimate advice is to show how this communicates together
<h3>
Answer: 32</h3>
Each coin has 2 sides. Because there are 5 coins we know that there are 2^5 = 2*2*2*2*2 = 32 different outcomes.
Tossing a single coin 5 times is the same as flipping 5 coins at once.
Answer:
4 and 5
Step-by-step explanation:
Let the numbers be x and y
If their sum is 9, hence;
x + y = 9 ....1
When reversed
10y+x = 2(10x+y)
10y+x = 20x + 2y
10y - 2y = 20x - x
8y = 19x
y = 10x/8 ...2
Substitute equation 2 into 1;
From 1;
x+y = 9
x +(10x/8) = 9
18x/8 = 9
18x = 72
x = 72/18
x = 4
Since x+y =9
y = 9-x
y =9-4
y = 5
Hence the numbers are 4 and 5
The rate of change for the points (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
y=5x^2 and find the slope between x=-2 and x=6
y=6(-2)^2=6(4)=24
y=6(6)^2=6(36)=216
(-2,24)
(6,216)
slope=(216-24)/(6-(-2))=(192)/(6+2)=192/8=96/8=48/4=24/2=12
the rate of change is 12
