Answer:
Part 1
If the actual park is 250 yards LONG, I think it means that its LENGTH is also 250 yards
Part 2
It's a proportion:
5=x
7=250
5*250:7=178.6 yards
The area is 178.6 yards wide and 250 yards long
Step-by-step explanation:
The biggest key here is identifying outliers. Outliers can pull measures of center either up or down drastically.Notice how the males have a VERY low outlier. This will pull the mean down severely and create a much larger range, or spread.The females have a median of about 12 hours, but have an upper extreme of 19, which compareatively is very high. This creates a larger range as well.
Simplifying
5x(4y + 3x) = 5x(3x + 4y)
Reorder the terms:
5x(3x + 4y) = 5x(3x + 4y)
(3x * 5x + 4y * 5x) = 5x(3x + 4y)
Reorder the terms:
(20xy + 15x2) = 5x(3x + 4y)
(20xy + 15x2) = 5x(3x + 4y)
20xy + 15x2 = (3x * 5x + 4y * 5x)
Reorder the terms:
20xy + 15x2 = (20xy + 15x2)
20xy + 15x2 = (20xy + 15x2)
Add '-20xy' to each side of the equation.
20xy + -20xy + 15x2 = 20xy + -20xy + 15x2
Combine like terms: 20xy + -20xy = 0
0 + 15x2 = 20xy + -20xy + 15x2
15x2 = 20xy + -20xy + 15x2
Combine like terms: 20xy + -20xy = 0
15x2 = 0 + 15x2
15x2 = 15x2
Add '-15x2' to each side of the equation.
15x2 + -15x2 = 15x2 + -15x2
Combine like terms: 15x2 + -15x2 = 0
0 = 15x2 + -15x2
Combine like terms: 15x2 + -15x2 = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
<u>QUESTION 1</u>
The given function is

If
decreases by
, then the new value is
.
We need to find the value the function at
which is

This simplifies to

The increment in
is given by;

This simplifies to,

This further simplifies to

Therefore the corresponding increment in
is
.
<u>QUESTION 2</u>
The given function is
.
If
increases by
, then the new value of
is
.
The increment in
is given by

We expand the brackets to get,

We simplify further to obtain,

Therefore the corresponding increment in
is
.
Both Ants start at the origin. Which means they will move the same distance even if they are going opposite waves