Answer:
r = 5.848cm, h = 11.696cm
Step-by-step explanation:
Surface area: 
Volume: 
Therefore, the height of a cylinder given its volume would be
, thus:

We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:






If
, then the surface area of the cylinder increases
Therefore, the surface area is minimized when the radius is
, making the minimum height
.
In conclusion, the 2nd option is correct.
Answer:
x=3
Step-by-step explanation:
Answer:
There are 68 dogs in the pound.
Step-by-step explanation:
Number of pit bull dogs in a pound = P = 23
Number of chihuahuas dogs in a pound = C = 17
Number of mutts dogs in a pound = M = 28
Total number of dogs in a pound = T

There are 68 dogs in the pound.
Answer:
The X and Y intercepts to the equation -3x - 7y = 84 is
x-intercept (s): (−28,0)
y-intercept (s): (0,−12)
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x
−3x−7⋅0=84
Solve the equation.
x=−28
x-intercept(s) in point form.
x-intercept (s): (−28,0)
To find the y-intercept(s), substitute in 0 for x and solve for y .
−3⋅0−7y=84
Solve the equation.
y=−12
y-intercept(s) in point form.
y-intercept (s): (0,−12)
Hope this helps.
The given compound inequality is

First we solve the first inequality,

Now we solve the second inequality

So we have

So the required solution is
![( - \infty,-5] \ or \ (0, \infty)](https://tex.z-dn.net/?f=%20%28%20-%20%5Cinfty%2C-5%5D%20%5C%20or%20%5C%20%280%2C%20%5Cinfty%29%20)
Correct option is A .