To create an open-top box out of a sheet of cardboard that is 5 inches long and 4 inches wide, you make a square flap of side length x inches in each corner by cutting along one of the flap's sides and folding along the other. (In the diagram, a solid line segment in the interior of the rectangle indicates a cut, while a dashed line segment indicates a fold.) Once you fold up the four sides of the box, you glue each flap to the side it overlaps. To the nearest tenth, find the value of x that maximizes the volume of the box. 5 in. The value of xthat maximizes the volume of the box is inch.

the answer would be a 24

step-by-step explanation:

c=2πr=2·π·3=24

1 liter of pineapple juice was made i think.

step-by-step explanation:

8 < i think

hope this !

answer-

the equation that models this pattern is

solution-

a researcher placed a petri dish with 32,000 bacterial cells. one hour after being placed in the vacuum chamber, the number of cells in the petri dish had halved. another hour later, the number of cells had again halved.

this can be represented as exponential decreasing function,

where,

putting the values,

y-intercept means, where x=0, so

the coordinate of this poin will be (0, 32000)

this means when x=0 or at the starting of the research, the number of bacteria cells was 32000.

after 3 hours, number of bacteria cells will be,

the   coordinate of this point will be (3, 4000)