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Lubov Fominskaja [6]
3 years ago
7

A number is k units to the left of 0. What's the location on a number line

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0
The answer to the question listed above is -11
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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
What is the image of (4,2) ?
Alinara [238K]

- don't know what you mean, but maybe the graph?

7 0
2 years ago
Find the volume of a cylinder with a diameter of 10 inches and height of 20in
weqwewe [10]

Answer:

V = 500 pi in^3

or approximately 1570 in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is  the radius and h is the height

The diameter is 10. so the radius is d/2 = 10/2 =5

V = pi (5)^2 * 20

V = pi *25*20

V = 500 pi in^3

We can approximate pi by 3.14

V = 3.14 * 500

V = 1570 in ^3

3 0
3 years ago
Read 2 more answers
The formula for electrical power is P, is P= I^2 R, where I is current and R is resistance. The formula for I in terms of. P and
Butoxors [25]

Ans

I = sqrt(P/R)

Step-by-step explanation:

You divide both sides by R first

P/R = I^2 R/R

So,

I^2 = P/R

take the square root of both sides

I = sqrt(P/R)

7 0
3 years ago
Read 2 more answers
Need answer urgently.
Feliz [49]
Hey hey hey I see no picc
4 0
3 years ago
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