Which has a lesser Rate of Change (slope m)

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

kumpel [21]

Answer:

side of 6.124 ft and height of 3.674 ft

Step-by-step explanation:

Let's s be the side of the square base and h be the height of the rectangular box.

The base and the roof would have an area of $s^2$ and cost of

$4s^2 + 2s^2 = 6s^2$

The sides would have an area of 4sh and cost of 4sh*2.5 = 10sh

So the total cost for the material is

$6s^2 + 10sh = 450$

$10sh = 450 - 6s^2$

$h = 45/s - 0.6s$

The volume of the shed has the following formula

$V = s^2h = s^2(45/s - 0.6s) = 45s - 0.6s^3$

To find the maximum value for V, we can take its first derivative, and set it to 0

$\frac{dV}{ds} = 45 - 1.2s^2 = 0$

$1.2s^2 = 45$

$s^2 = 45 / 1.2 = 37.5$

$s = \sqrt{37.5} = 6.124 ft$

h = 45/s - 0.6s = 3.674 ft

4 0

3 years ago

Help help help!!!!!!!!!!!

barxatty [35]

D.) It is not correct because the second number tells you how far to go up or down, not across.

Second number represents y-coordinates, so they are the points in vertical direction, in that case you can't move in x-axis which is horizontal.

Hope this helps!

4 0

2 years ago

Read 2 more answers

A town recreation hall needs to build a ramp. The height of the ramp must be 2 ft. The ramp will start 6 ft. from the door. To t

pogonyaev

The ramp will form a triangle with height 2ft and base 6ft.

The length of the ramp will be the hypotenuse of this triangle.
length² = height² + base²
length = √(height² + base²)
length = √(2² + 6²)
length = √(4 + 36)
length = √40
length = 6.3ft

Therefore, the ramp will be 6.3ft long.

5 0

2 years ago

Write the equation of the parabola in vertex form. <br><br> Vertex (1,2) point (2,-4)

lozanna [386]

Answer:

$f(x)=6(x-2)^2-4$