A box with no top is to be made from a 30 inch by 50 inch cardboard by cutting equal size squares from each corner and folding up the sides. let x be the length of the side of the square to be cut from each corner. express the volume of the box as a function of x and indicate its domain. find the size of the cutout squares that will make the maximum volume. what is the maximum volume.

Someone this asap for a group of students attends a basketball game. * the group buys x hot dogs at the concession stand for $2 each. * the group buys y drinks at the concession stand for $3 each. the group buys 29 items at the concession stand for a total of $70. how many hot dogs did the group buy?

Last one and the bottom answer choice is y=(x-4)^2+1 you guys!

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?