Answer: all of them are correct! great job!!!1
Step-by-step explanation:
.4 is 40 percent because you move the decimal two spaces to the right so it would be 40 percent, same as the others!
Answer:
The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Step-by-step explanation:
A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.
Recall that the volume for a cylinder is given by:
Substitute:
Solve for <em>h: </em>
Recall that the surface area of a cylinder is given by:
We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.
First, substitute for <em>h</em>.
Find its derivative:
Solve for its zero(s):
Hence, the radius that minimizes the surface area will be about 3.628 centimeters.
Then the height will be:
In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Answer:
x=0 x=2
Step-by-step explanation:
4x=y
2x^2-y=0
If y=4x you can use substitution
2x^2-4x=0
2x(x-2)=0
2x=0 x-2=0
x=0 x=2