A postal service will accept a package if its length plus its girth is not more than 96 inches. Find the dimensions and volume of the largest package with a square end that can be mailed.

Step-by-step explanation:

Let the length and width of the rectangular package be x and y respectively. Since end of the package is a square, the perimeter of the package will be expressed as P = 4x+y and the volume will be expressed as V = x²y

If a postal service will accept a package if its length plus its girth is not more than 96 inches, then the perimeter is equivalent to 96 inches.

96 = 4x+y

y = 96-4x

Substituting the value of x into the formula for calculating the volume, we will have;

V(x) = x²(96-4x)

V(x) = 96x²-4x³

To get the dimensions and volume of the largest package, we will find V'(x) and equate it to zero.

V'(x) = 192x-12x²

192x-12x² = 0

Factoring out x;

x(192-12x) = 0

x = 0 and  192-12x = 0

12x = 192

x = 192/12

x = 16

This shows that we have a maximum value at x = 16 and minimum at x = 0

To get y, we will substitute x = 16 into the expression y = 96-4x

y = 96-4(16)

y = 96-64

y = 32

- The dimensions of the largest package is therefore 16in by 16in by 32in

- Volume of largest package = x²y = 16²*18 = 8,192in³

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

he sells x mount because thats eqivilqant to the maz and then divided into quarters

step-by-step explanation: