Answer:
1280 in^3
Step-by-step explanation:
The volume of this rectangular prism-shaped body of water is
V = (length)(width)(height), which here is:
V = (16 in)(10 in)(8 in) = 1280 in^3
The volume of the water is 1280 in^3

Find the first derivatives:

.
Solve the system

:

. The second equation has solutions

and then

and you have two points

.
Find the first derivatives:

and calculate
![\Delta=\left| \left[\begin{array}{cc}24&-24\\-24&12y\end{array}\right]\right |=24\cdot 12y-(-24)^2=288y-576](https://tex.z-dn.net/?f=%5CDelta%3D%5Cleft%7C%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D24%26-24%5C%5C-24%2612y%5Cend%7Barray%7D%5Cright%5D%5Cright%20%7C%3D24%5Ccdot%2012y-%28-24%29%5E2%3D288y-576)
.
Since

and

,

is a point of maximum and

.
Since

and

,

is a point of minimum and

.
The answer to this equation is 1/6
Purple and white make up less than 30 %
Answer:
The lines are parallel
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
Remember that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
step 1
Find the slope JK
we have

substitute the values
step 2
Find the slope LM
we have

substitute the values
step 3
Compare the slopes
so
therefore
The lines are parallel