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den301095 [7]
2 years ago
14

I need serious help grades go in tonighttt

Mathematics
1 answer:
attashe74 [19]2 years ago
8 0
Rewrite it from least to greatest and set it up like shown

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Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an
Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as V=g(x), where g(x)=x(6-2x)(8-2x) and 0\le x\le3.

Expand the function to obtain:

g(x)=4x^3-28x^2+48x

Differentiate  wrt  x to obtain:

g'(x)=12x^2-56x+48

To find the point where the maximum value occurs, we solve

g'(x)=0

\implies 12x^2-56x+48=0

\implies x=1.13,x=3.54

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

g''(x)=24x-56, g''(1.13)=24(1.13)-56=-28.88\:

This means the maximum volume occurs at x=1.13.

Substitute x=1.13 into g(x)=x(6-2x)(8-2x) to get the maximum volume.

g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0
3 years ago
A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.
marin [14]

Helloooo, Your answer for part A is 13 cm

You answer for part b is 2600

13 x 10 x 20 = 2600

3 0
2 years ago
Whats the indicated operation?
Black_prince [1.1K]
4/11 * 10/8
= 1/11 * 10/2
= 1/11 * 5
= 5/11

answer 5/11
you got it correct
7 0
3 years ago
The total cost of 4 starfish was $7.20. Write and solve an equation to find how much one starfish cost.
Lyrx [107]

Answer:

$1.80

Step-by-step explanation:

4x = 7.20

x = 1.80

7 0
2 years ago
Triangle with sides of 8.2cm,3.9cm,and 4.5cm.<br>What is the perimeter?
just olya [345]

Answer:Perimeter is the measurement all around the shape. So, to do this we wolud need to add this measurments together


Step-by-step explanation:

8.2+3.9=12.1

12.1+4.5=16.6

Answer:16.6cm

8 0
3 years ago
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