1. an open box is to be made from a rectangular a piece of cardboard of dimension 25 inches by 40 inches. four x by x flaps are formed at each corner of the cardboard, then the ends are turned up and glued together with the flapes to make an open box.(see figure below)
(a) complete the following table.
length of the flap, x: 0,1,2,3,4,5..find width of the box, w, volume of the box, length of the box
(b) write the volume of the box as a function of x
(c) what are the possible values of x?
(d) use a graphing calculator to graph the function. be sure to use an appropriate viewing window. what dimensions will maximize the volume of the box? for what values of x is the volume 1000 cubic inches?

0.50 , 0.75

step-by-step explanation:

true

step-by-step explanation:

intersecting chords are just lines that intersect. so a line is equal to 180 degrees, so when it is intersected by another chord, then it create supplementary angles, and because the lines cross, vertical angels are also formed.

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation: