The function for a is (f o g) (x) = 8x^2-10.
Explanation
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I already knew that the g of x is equal to

so I substitute inside of the g of x

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simplify it

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Answer:
The height of this cylinder = 9.55 ins
Step-by-step explanation:
Volume cylinder = pi * r² * h = 30 ins
r=1
pi * r² * h = 30
pi * 1² * h = 30 ins
h = 30/pi
h = 9.55 ins
Answer: v ≥ 6
This means that Adrian needs to do at least 6 visits.
Step-by-step explanation:
First, we know that he gets 20 points just for signing up, so he starts with 20 points.
Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of:
20 + 2.5*v
points.
And he needs to get at least 35 points, then the total number of points must be such that:
points ≥ 35
and we know that:
points = 20 + 2.5*v
then we have the inequality:
20 + 2.5*v ≥ 35
Now we can solve this for v, so we need to isolate v in one side of the equation:
2.5*v ≥ 35 - 20 = 15
2.5*v ≥ 15
v ≥ 15/2.5 = 6
v ≥ 6
So he needs to make at least 6 visits.
Answer:
10⁴ seconds
Step-by-step explanation:
Given that,
A person breathes
in about cubic meters of air per second.
We need to find time taken to breathe 2.5 cubic meters of air.
In 1 sec =
m³ of air breathe
Let in x seconds, 2.5 m³ of air taken by the person.

Hence, in 10⁴ seconds 2.5 m³ of air is taken by the person.