Abox with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 inches by 9 inches. six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the 9-inch sides (see figure 1). the remaining cardboard will be folded to form the box and its lid (see figure 2). letting x represent the side-lengths (in inches) of the squares, use the aleks graphing calculator to find the value of x that maximizes the volume enclosed by this box. then give the maximum volume. round your responses to two decimal places.

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

roots are from trees

step-by-step explanation:

b

step-by-step explanation:

this is because the profit is decreasing and turning into debt