Answer:
13 1/3 and 6 2/3.
Step-by-step explanation:
Let the 2 parts be x and (20 - x).
So x^2(20 - x) must be a maximum.
y = x^2(20 - x)
y = 20x^2 - x^3
Finding the derivative):
y' = 40x - 3x^2 = 0 for maxm/minm value.
x( 40 - 3x) = 0
40 - 3x = 0
3x = 40
x = 40/3.
This is a maximum because the second derivative y" = 40 - 6x = 40 - 6(40/3)) is negative.
So the 2 numbers are 13 1/3 and 6 2/3.
Answer:

Step-by-step explanation:
Given the expression:

To find:
The expression of above complex number in standard form
.
Solution:
First of all, learn the concept of
(pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by
.
Value of
.
Now, let us consider the given expression:

So, the given expression in standard form is
.
Let us compare with standard form
so we get
.
The standard form of

is: 
Correct answer of what???
Answer:
Step-by-step explanation:
Total number of students who roller skated = 80
Number of students who roller skated with laser tag = 39
Number of students who roller skated with no laser tag = 80 - 39 = 41
Therefore, percentage of students who roller skated with no laser tag =
= 27%
Since, number of students who played laser tag = 85
Percentage of students who played laser tag =
= 55%
Total number of students who played no laser tag = 45% of 154 = 69
Number of students with no roller skates and no laser tag = 69 - 41 = 28
Percentage of students with no roller skates and no laser tag =
= 18%
Percentage of students who played with no rollers skates = (30 + 18)%
= 48%
Laser tag No laser tag Total
Roller skate 25% 27% 52%
No Roller skate 30% 18% 48%
Total 55% 45% 100%