Answer:
x=35
Step-by-step explanation:
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V(cylinder)= πr²h
d=2r,
d is diameter, r is radius.
When diameter is tripled, a new diameter D=3d,
new radius R=3d/2=(3*2r)/2=3r
R=3r
V(new cylinder)= πR²h = π(3r)²h=9πr²h
V(new cylinder)/V(cylinder)=9πr²h/πr²h=9
Volume new cylinder 9 times more the volume of old cylinder.
The question is an illustration of composite functions.
- Functions c(n) and h(n) are
and 
- The composite function c(n(h)) is
- The value of c(n(100)) is
- The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>
The given parameters are:
- $5000 in fixed costs plus an additional $250
- 5 systems in one hour of production
<u>(a) Functions c(n) and n(h)</u>
Let the number of system be n, and h be the number of hours
So, the cost function (c(n)) is:
This gives
The function for number of systems is:
<u>(b) Function c(n(h))</u>
In (a), we have:
Substitute n(h) for n in
Substitute
<u>(c) Find c(n(100))</u>
c(n(100)) means that h = 100.
So, we have:
<u>(d) Interpret (c)</u>
In (c), we have:
It means that:
The cost of working for 100 hours is $130000
Read more about composite functions at:
brainly.com/question/10830110
Answer:
Part A: We know that 3 bushels is $24, and that rate remains constant, as the graph has a straight line.
Divide both sides by 3 to get 1 bushel=$8.
We can also double check with the other values: 48/6=$8 per bushel, 72/9=$8 per bushel, and so on.
The rate of change is the slope of a line (how much one value changes when the other value does). In this equation, the equation of the line is y=8x, so the slope is 8. Therefore, the rate of change is 8.
Part B: In the previous year, each bushel of corn was 21/3, 42/6, etc., or $7 a bushel. This year, it is $8, so $8-$7=$1
Step-by-step explanation:
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2. ___________
|. X|. X|. X|. |. 6/8
———————-
|. X|. X|. X|. |
———————-
___________
|. |. |. |. |__x,x,x
———————-
|. X|. X|. X|. |. 6/8-3/8=3/8
———————-
