The value of the discriminant is
12.
Since the discriminant is greater than zero, the equation has
two real solutions.
The area of an equilateral triangle of side "s" is s^2*sqrt(3)/4. So the volume of the slices in your problem is
(x - x^2)^2 * sqrt(3)/4.
Integrating from x = 0 to x = 1, we have
[(1/3)x^3 - (1/2)x^4 + (1/5)x^5]*sqrt(3)/4
= (1/30)*sqrt(3)/4 = sqrt(3)/120 = about 0.0144.
Since this seems quite small, it makes sense to ask what the base area might be...integral from 0 to 1 of (x - x^2) dx = (1/2) - (1/3) = 1/6. Yes, OK, the max height of the triangles occurs where x - x^2 = 1/4, and most of the triangles are quite a bit shorter...
Answer:
-3
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
Answer:
A, B, C, and F is your possible answers
The quotient of means to divide so it could be any symbol and they could switch places when dividing.
Question
:
nathan packs 30 boxes in 2 hours.how many boxes can he pack in an 10 hour shift?
30 boxes in 2 hours = 15 box in 1 hour
so
10 * 15 = 150
150 boxes is your answer
