A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length
of 5 m, a width of 4 m, and a height of 2 m. The side lengths of the cube are 5 m
What is the volume of the solid?

Volume of solid created  = .

Step-by-step explanation:

We have , A new solid is created by cutting a right rectangular prism from a cube. The right rectangular prism has a length  of 5 m, a width of 4 m, and a height of 2 m. The side lengths of the cube are 5 m . Volume of solid created = Volume of cube  - Volume of rectangular prism

Volume of cube =

⇒

⇒

⇒

Volume of rectangular prism =

⇒

⇒

⇒

Now,  Volume of solid created = Volume of cube  - Volume of rectangular prism

⇒ Volume of solid created  =

⇒ Volume of solid created  =

⇒ Volume of solid created  =

∴ Volume of solid created  = .

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

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"