A square plate of sheet metal has a side of length16 units. A rectangular tray without lid is made from this sheet by cutting squares of side x units from the corners and folding and welding the vertical edges. Show that the volume of the tray is given by V=256x-64x^2+4x^3 units^3and find the maximum volume of the tray, proving it to be a maximum

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13

they used 313 gallons of paint

answer: rolling a number cube and flipping a coin.

step-by-step explanation: