Answer:
CCCCCCCCCC
Step-by-step explanation:
9514 1404 393
Answer:
y = 3/4x + 2
Step-by-step explanation:
If we take the given points to be (0, 2) and (4, 5), then the slope is ...
m = (y2 -y1)/(x2 -x1) = (5 -2)/(4 -0) = 3/4
The y-intercept is given by the point (0, 2). So, the equation is ...
y = mx + b . . . . . . line of slope m with y-intercept b
y = 3/4x + 2
Answer:
A= L + 5
Step-by-step explanation:
Andrews class is equal to Lauren's class and there are more 5 students
Answer:
C
Step-by-step explanation:
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.