Answer:
a) 1/2
b) 250
Step-by-step explanation:
The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for 
such that 
is maximized. Once we have that , we can easily find the answer to part b.
Finding the value that maximizes is the same as finding the value that maximizes 
, just on a smaller scale. So, we really want to maximize . To do this, we will do a trick called completing the square.
.
Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of such that the inner part of the square term is equal to 
.
.
So, the answer to part a is 
.
We can then plug 
into the equation for p to find the answer to part b.
.
So, the answer to part b is 
.
And we're done!
Answer:
250 ml= 1 pancake
1000 ml=4 pancakes
Step-by-step explanation:
Answer:
All you need to do is to calculate the perimeter of the circle since you already had the diameter
Base on the picture, the perimeter should be:
C = d * π = 64 * 3.14 = 200.96 (m)
Answer:
2/3
Step-by-step explanation:
First, you figure out how many marbles are in total, which is the denominator. The total number of marbles is 30.
Then, you figure out how many marbles are blue, which is the numerator. There are 20 blue marbles.
Finally, you simplify the fraction. 20/30=2/3.
Answer:
C 2
Step-by-step explanation:
-3 doubled = -6
-6 +8 = 2 so C 2
