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Explanation:</h2>
Remember you have two write complete questions in order to get good and exact answers. Here I'll assume you want to isolate the radius (r). So:
The formula for the lateral surface area of a cylinder is:
![S=2\pi rh \\ \\ \\ Where: \\ \\ S:Lateral \ surface \ area: \\ \\ r:Radius \\ \\ h:Height[tex][tex]Dividing \ both \ sides \ by \ 2\pi h: \\ \\ S=2\pi rh \\ \\ \frac{S}{2\pi h}=\frac{2\pi rh}{2\pi h} \\ \\ \\ Finally: \\ \\ \boxed{r=\frac{S}{2\pi h}}](https://tex.z-dn.net/?f=S%3D2%5Cpi%20rh%20%5C%5C%20%5C%5C%20%5C%5C%20Where%3A%20%5C%5C%20%5C%5C%20S%3ALateral%20%5C%20surface%20%5C%20area%3A%20%5C%5C%20%5C%5C%20r%3ARadius%20%5C%5C%20%5C%5C%20h%3AHeight%5Btex%5D%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%5Btex%5DDividing%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%202%5Cpi%20h%3A%20%5C%5C%20%5C%5C%20S%3D2%5Cpi%20rh%20%5C%5C%20%5C%5C%20%5Cfrac%7BS%7D%7B2%5Cpi%20h%7D%3D%5Cfrac%7B2%5Cpi%20rh%7D%7B2%5Cpi%20h%7D%20%5C%5C%20%5C%5C%20%5C%5C%20Finally%3A%20%5C%5C%20%5C%5C%20%5Cboxed%7Br%3D%5Cfrac%7BS%7D%7B2%5Cpi%20h%7D%7D)
<h2>Learn more:</h2>
Cylinder: brainly.com/question/12248187
#LearnWithBrainly
No, it does not and it's not supposed to. A trend line is drawn to go through in the best way possible, to go through the "center" of the points as best as it can. It may hit some of the points, but not all of them. Generally, the idea is to try to get the trend line to have as many points "above" it as it does "below" it to say you've gone through them evenly.
Answer:
Step-by-step explanation:
So we have the function:
To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:
Add 9 to both sides:
Take the natural log of both sides:
The right side cancels:
Divide both sides by 6:
And we're done!
Solve for x:x/5 - 2 = x/2 + 3
Put each term in x/5 - 2 over the common denominator 5: x/5 - 2 = x/5 - (10)/5:x/5 - (10)/5 = x/2 + 3
x/5 - (10)/5 = (x - 10)/5:(x - 10)/5 = x/2 + 3
Put each term in x/2 + 3 over the common denominator 2: x/2 + 3 = x/2 + 6/2:(x - 10)/5 = x/2 + 6/2
x/2 + 6/2 = (x + 6)/2:(x - 10)/5 = (x + 6)/2
Multiply both sides by 10:(10 (x - 10))/5 = (10 (x + 6))/2
10/5 = (5×2)/5 = 2:2 (x - 10) = (10 (x + 6))/2
10/2 = (2×5)/2 = 5:2 (x - 10) = 5 (x + 6)
Expand out terms of the left hand side:2 x - 20 = 5 (x + 6)
Expand out terms of the right hand side:2 x - 20 = 5 x + 30
Subtract 5 x from both sides:(2 x - 5 x) - 20 = (5 x - 5 x) + 30
2 x - 5 x = -3 x:-3 x - 20 = (5 x - 5 x) + 30
5 x - 5 x = 0:-3 x - 20 = 30
Add 20 to both sides:(20 - 20) - 3 x = 20 + 30
20 - 20 = 0:-3 x = 30 + 20
30 + 20 = 50:-3 x = 50
Divide both sides of -3 x = 50 by -3:(-3 x)/(-3) = 50/(-3)
(-3)/(-3) = 1:x = 50/(-3)
Multiply numerator and denominator of 50/(-3) by -1:Answer: x = (-50)/3
Answer:
rule: f(n) = n³
missing numbers: 125, 216, 343, 512, 729
Step-by-step explanation:
Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.
1 = 1·1·1 = 1³
8 = 2·2·2 = 2³
27 = 3·3·3 = 3³
64 = 4·4·4 = 4³
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The rule is ...
f(n) = n³
The cubes of 5 through 9 will complete the set of numbers ...
1, 8, 27, 64, 125, 216, 343, 512, 729
