So using the formula for the volume of a cone:
r^2pi x h/3
The height is always 4 times the radius, so:
h=4r
Now putting the values into the original formula:
r^2pi x 4r/3
Now to see how much the radius increases per second:
r^2pi x 4r/3=300pi
r^2 x 4r/3=300
r^2 x 4r=900
r^2 x r=225
r^3=225
The radius increases by the cubic square root of 225 cm per second.
f(s)= 225^1/3 cm
Answer:7.967
Step-by-step explanation:
Answer:
А.The system has two solutions, but only one is viable because the other results in a negative width.
Step-by-step explanation:
Given
Let:
length of play area A
width of play area A
length of play area B
width of play area B
Area of A
Area of B
From the question, we have the following:




The area of A is:

This gives:

Open bracket

The area of B is:


Substitute: 

Open brackets


Expand


We have that:

This gives:

Collect like terms


Using quadratic calculator, we have:
or
--- approximated
But the width can not be negative; So:

Answer:
-21.5
Step-by-step explanation:
-12-6=-18 minus 3.5=-21.5
No correlation
A scatterplot is used to represent a correlation between two variables. There are two types of correlations: positive and negative. Variables that are positively correlated move in the same direction, while variables that are negatively correlated move in opposite directions.