What is the height, in centimeters, of a rectangular prism that is 80 centimeters wide, 40 centimeters long, and has a volume of 160,000 centimeters?
A. 5
B. 20
C. 39
D. 40
E. 50

The answer to your question is the letter E. 50

Step-by-step explanation:

Data

height = ?

Width = 80 cm

Length = 40 cm

Volume = 160000 cm³

Formula

Volume of a rectangular prism = Width x length x height

Substitution

                          160000 = 80 x 40 x height

Solve for height

                           height = 160000 / 80 x 40

Simplification

                           height = 160000/ 3200

Result

                           height = 50 cm              

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204