Aclosed box with a square base is to be built to house an ant colony. the bottom of the box and all four sides are to be made of material costing $1/ft², and the top is to be constructed of glass costing $5/ft². what are the dimensions of the box of greatest volume that can be constructed for $72?

Dimensions of the box will be 6 ft × 6 ft × 54 feet

Step-by-step explanation:

A closed box is to be built having square base.

Let the dimensions of the box are a ft × a ft × b ft.

Material used to build the base and all four sides cost $1 per square ft.

Therefore, cost of base and four sides = 1[(a)² + 4ab]

Top of the box is to be constructed of glass costing $5 per square feet.

Cost of the top = 5a²

Total cost of the box material = (a² + 4ab) + 5a² = $72

6a² + 4ab = 72

b = -----(1)

Now volume of the box V = a×a×b = a²b

From equation (1),

V = a²()

V = a(18 - 1.5a)

For greatest volume ,

18 - 3a = 0

a = 6

Now form equation (1)

b =

b = 54 feet.

Therefore, dimensions of the box will be 6 ft × 6 ft × 54 feet.

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c