If n is directly proportional to the cube of mand n = 27 when m=
the value of n when m= 2.
(ii) the value of m
when n = 125​

Answers

Answer 1

Missing Part of the Question

If n is directly proportional to the cube of m and n = 27 when m =  4

Answer:

i. [tex]n = \frac{27}{64}[/tex]

ii. [tex]n = \frac{20}{3}[/tex]

Explanation:

Given

Direct proportion between n and cube of m

This is represented as:

[tex]n\ \alpha\ m^3[/tex]

Convert proportion to equation

[tex]n = km^3[/tex]

Where k is the constant of variation;

Substitute 27 for n and 4 for m

[tex]27 = k * 4^3[/tex]

[tex]27 = k * 64[/tex]

[tex]27 = 64k[/tex]

Divide both sides by 64

[tex]k = \frac{27}{64}[/tex]

Solving for n when m = 2.

Recall that [tex]n = km^3[/tex]

Substitute [tex]\frac{27}{64}[/tex] for k and  2 for m

[tex]n = \frac{27}{64} * 2^3[/tex]

[tex]n = \frac{27}{64} * 8[/tex]

[tex]n = \frac{27 * 8}{64}[/tex]

[tex]n = \frac{27}{64}[/tex]

Solving for the value of m  when n = 125​

Recall that [tex]n = km^3[/tex]

Substitute 125 for n and [tex]\frac{27}{64}[/tex] for k

[tex]125 = \frac{27}{64} * n^3[/tex]

[tex]125 = \frac{27 * n^3}{64}[/tex]

[tex]125 = \frac{27 n^3}{64}[/tex]

Multiply both sides by 64

[tex]64 * 125 = \frac{27 n^3}{64} * 64[/tex]

[tex]64 * 125 = 27 n^3[/tex]

Divide both sides by 27

[tex]\frac{64 * 125}{27} = \frac{27n^3}{27}[/tex]

[tex]\frac{64 * 125}{27} =n^3[/tex]

Take Cube root of both sides

[tex]\sqrt[3]{\frac{64 * 125}{27}} = \sqrt[3]{n^3}[/tex]

[tex]\sqrt[3]{\frac{64 * 125}{27}} = n[/tex]

[tex]\frac{4 * 5}{3} = n[/tex]

[tex]\frac{20}{3} = n[/tex]

[tex]n = \frac{20}{3}[/tex]


Related Questions

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Answers

Answer: Hello!

Blank #1: Entertain

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Answer:

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Explanation:

edmentum

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Answer:

I believe the best answer to this question is "sfumato." The definition of sfumato is using colors and tones to shade into one another, producing outlines that are muted and softened, producing a hazy effect.

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I believe the best answer to this question is "sfumato." :)...

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Answer:

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Answer:

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Answer:

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Answer:

Cinnabar is a mineral and Limestone is a rock.

Explanation:

Answer:

cinnabar is mineral

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Explanation:

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Answers

Answer:

6 eighth notes are required

Answer:

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Answers

Answer:

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The option that does not correspond to a characteristic of Impressionism is the claim that most paintings were created in internal studios.

What was Impressionism?

It was an artistic movement that emerged in France between 1860 and 1880, whose highlight is the painting that was carried out outdoors, where urban and suburban landscapes were portrayed, with the use of color tones influenced by sunlight and the colors in the the moment the painting was performed.

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Answer:

Hey There!! The answer to this is His radical political ideas and events such as the Paris uprising.

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ItsNobody~ ☆

Answer: Sorry I am looking for the same answer I am not sure! :(

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Answers

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Answer:

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Explanation:

In Harriet's line of work as a lead visualizer for an advertising company, and she has to interpret the client's creative brief and present it in a visual form, the best strategy she should adopt for creating the visuals is to keep the message clear because she will want the client to know everything about the product without obscuring anything.

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Answers

Answer:

A. Points to the middle staff line of treble clef

Explanation:

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Answers

Answer:

False.

Explanation:

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Answers

source of corruption are : greed of money , low salary , political conflict , growth of luxury etc....

Question 7 (5 points)
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Answers

Hey !

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Answers

I have always loved art but I have no ability to draw. I raised my children to go a museum at least a couple of times of the year. They were well behaved even at 3 years of age. We just kept it short when they were little and let them think what they wanted of each piece of art. I always asked them what was their favorite work of art at the end of an experience. This taught them that their opinions was important and could be different from another. This is the backstory.

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From what I’ve learned, art is anything that you take from your mind and put it into something creative. There is no limit to art. There’s no such thing as bad art, because it all comes from a certain persons perspective. Personally, I sketch. I’ve always loved it and I love teaching what I know. I enjoy realism, but when it comes to that I can only draw people. Another thing, is you can never stop improving with art. It’s a forever learning experience.

Instructions for the creativity test: copy the lines in your sketch book or on a copy paper. Draw them exactly as you see them in the picture. Do not move any of the lines around. Give your self enough room so do not draw the lines too close to the edge of the paper or too close to each other. You are to create a meaningful drawing out of each one of these nonsense lines. You can turn them into anything you want. The drawings can be realistic or abstract ( more like designs and things that do not represent reality) You cannot rearrange the lines!!!!!!!!!!!!!!!! You have to keep all the lines on the same page and draw them in the same exact order!!!! Stay away from thing such as symbols or shapes. Remember, you are to draw a meaningful picture. A heart is not a meaningful picture. Add as much detail to your drawing as possible. Don't draw the first thing that pops into your head. If for whatever reason you can't think of any but a heart for one of these, then add detail to it, inside, outside and so forth. Stare at the lines for awhile and brainstorm in your head. Color each drawing. Name each drawing. The names can be creative, weird as well. Keep the drawings clean and school appropriate. Do not use the internet for help or ideas! It will defeat the purpose of the assignment and I will not know how creative you are on your own!!! Once you are done with your drawing, take a picture of it and upload it to the assignment.

Answers

Answer:

They are a little wonky but you can tell what they are. I woulda put more effort into them if I had more time.

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5.) Ladle (You use it for soup.)

6.) Band-Aid.

7.) Segment Of a Roller Coaster.

Explanation:

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Answers

Answer:

i don't know which building this can be found in

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Answers

Answer:

D. Salt

Explanation:

Salt allows yeast to develop the characteristics flavor of bread by regulating the rate of yeast activity, providing a slow and steady rise.

Answer:

sugar

Explanation:

sugar stops yeast activity

Through Vincent van Gogh’s use of varying brushstrokes in the above painting, he exemplifies what technique of texture?
a.
relief
c.
impasto
b.
tactility
d.
tone

Answers

Answer:

c.

impasto

Explanation:

Impasto is a technique used in painting, where paint is laid on an area of the surface in very thick layers, usually thick enough that the brush or painting-knife strokes are visible. This is prominent in many van Gogh paintings, such as The Starry Night.

Through Vincent van Gogh’s use of varying brushstrokes, he exemplifies impasto technique of texture. Option (c)  is correct.

What do you mean by Technique?

Technique is the talent and competence you acquire through practice and training in a particular artistic, athletic, or other practical activity.

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