Answer:
1/2 or 50% of the population has heard the rumor when it is spreading fastest.
Step-by-step explanation:
We need to take the derivative with respect to y from the r(y) = dy/dt = 2y(1-y) and equal to zero. At this condition we maximize the function and will get the maximum of the rumor spreading.

Therefore we just need to find y:

So 1/2 or 50% of the population has heard the rumor when it is spreading fastest.
I hope it helps you!
Answer:
what is the area of a triangle with a base of 2 5/8mm and a height of 10mm
Step-by-step explanation:
C.16 3/8mm2
Answer is 823.2 cu.in.
Reason
For the sphere
We know V=4/3 TT r^3
Radius is 3
V=4/3 (3.14) 3^3
V= 4/3 (3.14) 27
V= 113.1 for each sphere
8 spheres x 113.1 = 904.8 cu.in.
For the cubed shaped box
We know v= length x width x height
V= 12 x 12 x 12
V = 1728 cu.in.
Now we take volume of box and subtract volume of spheres to get space filled by packing beads
1728 - 904.8 = 823.2 cu.in.
Get the y alone.
-3+y=11
+3 on both sides
y=14 = y intercept
-x+y=2
Add x to both sides of the equation
Y= 2 + x