Answer:
Width is 12 inches and height is 4 inches.
Step-by-step explanation:
Let the width of the piece of cardboard be = w inches
Then length is =
inches
As given, 4 inch squares are cut from each corner;
So, the width is =
inches
Length is =
inches
When we are folding the cut portion, that gives the height as = 4 inches
The volume is given by : length x width x height
And volume is given as 256 cubic inches
So, 
=> 
=> 
=> 
or 
=> 
=> 
We get ,
; w = -8(neglect the negative value)
; w = 12 inches
And length =
inches
Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches
We can check by putting these values in equation : 

=> 
=> 
The second line
least to greatest: -3, -2.4, -21/4, -1.5, -11/8
Answer:
Absolute maximum is 2
Absolute minimum at -2
Step-by-step explanation:
The given parametric functions are:

By the chain rule:


At fixed points, 

This gives
on 
This implies that the extreme points are
and 
By eliminating the parameter, we have 
This is a circle with radius 2, centered at the origin.
Hence (0,2) is an absolute maximum ,at
and (0,-2) is an absolute minimum at 
If you would like to find a step that can be used to find the solution to the set of equations, you can do this using the following steps:
c = 2d + 1
c = 3d + 5
__________
c = c
2d + 1 = 3d + 5
2d - 3d = 5 - 1
- d = 4
d = -4
The correct result would be <span>2d + 1 = 3d + 5.</span>
Answer:A,B,E
Step-by-step explanation: