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

The actual length of side t is 0.045 cm. use the scale drawing to find the actual side length of w. a) 0.06 cm b) 0.075 cm c) 0.45 cm d) 0.75 cm

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?