The break-even point for the graph is at 11 units.
Step-by-step explanation:
Break-even point refers to the point on the graph where either of the parameters of the graph intercepts each other. The corresponding location of the position where the intersection occurs gives the break-even point.
In the graph annual cost is plotted in green on the Y axis, while the sales are plotted on x-axis in red.
When we observe the graph carefully, we find that two-line intercepts. When the point at which interception occurs is extended on the x-axis, the point is 11 units, which gives us the break-even units.
Hence the point is 11 units.
Assuming that the sides of the box are square (having 90° angles on all four corners), then it should be relatively easy for us to find the length of the box, given the perimeter and the length of one side.
We know the length of all sides combined is 42 inches, and that the length of one side is 9 inches. With a rectangular prism, the length of one side is the same as the length of the opposite side, so there are two sides that measure 9 inches.
All we need to do to find the measure of both the other sides' lengths is subtract the known lengths from the total length.
9 + 9 = 18
42 - 18 = 24
So the rest of the side lengths added together is 24 inches.
There are two sides left, so all we have to do is divide by 2 to find the length of the box.
24 / 2 = 12
The length of Kate's jewelry box is 12 inches.
Hope that helped =)
Answer:
5^3
Step-by-step explanation:
Answer: the two circles are the same but the big one is just 5 times the small circle.
Step-by-step explanation:
Initially, Ball A of 10 kg will have velocity x, while Ball B of 30 kg has velocity -10 m/s.
After collision, Ball A will have a velocity of -30 m/s, while Ball B will have velocity 10 m/s. We assume their masses do not change.
(10 kg)(x m/s) + (30 kg)(-10 m/s) = (10 kg)(-30 m/s) + (30 kg)(10 m/s)
10x - 300 = -300 + 300
x = 30 m/s (to the right)
