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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Answer:

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Explanation:

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Answers

Answer: Hello!

Blank #1: Entertain

Blank #2: fairy

Hope this helps!

Answer:

Blank#1: entertainment

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Explanation:

edmentum

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Answers

Answer:

Ceremonial, Artistic Expression, Narrative, Functional and Persuasive.

Explanation:

Ceremonial art is made to celebrate or commemorate something important in the culture, in ritual or worship, or in personal life.

HELP??? ------ In what fundamental way does one musical note differ from another?

Answers

Answer:

Musical notes tend to differ from each other based on the material used to produce the strings as well as how long the string is.

Explanation:

Take for example, a grand piano. The longer and thicker the string, typically the more bass the sound is. The shorter and thinner the string, the more high-pitch it is. Each note differ from each other based on the sound produced by each string when it is played.

what building can these be found it​

Answers

Answer:

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

Which component would halt yeast activity when making bread? A. warm water B. sugar C. cold water D. salt

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

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True/False

Answers

Hello There!!

It's actually False...

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By ▪Itsbrazts▪


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in the countryside to minister to the illiterate population
at the heart of medieval towns
on university campuses

Answers

Answer:

False.

Explanation:

Gothic cathedrals were built in the centers of large cities, where their size and grandeur showed the architectural quality of the region, since these cathedrals were real monuments. They served as a home for monks and bishops, in addition to being the environment that would be used as a religious assembly, where meetings and clerical meetings would be held.

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Answers

Answer:

6 eighth notes are required

Answer:

6 eight noters are required

Explanation:

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.

The Van Gogh Shoes is the title of Vincent van Gogh's artwork. Through the use of light and dark, the artist created texture to give the impression of depth. Van Gogh gave the impression of texture by altering the intensity and utilising a variety of brushstrokes. Paint that has been applied thickly allows us to see the brushstrokes.

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

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Answers

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Answers

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What strategy should Harriet adopt for creating the visuals?

A. Use modern expressionism.

B. Keep the message clear.

C. Obscure the message to put the viewer into a reflective mode.

D. Use overt symbolism.

Answer:

B- Keep the message clear.

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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Question 7 (5 points)
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French Revolution
American Revolution
Industrial Revolution
Argentine Revolution
O15 noint)

Answers

Hey !

Which one of the following Revolutions was NOT a contributor to the Modern Age?

Argentine Revolution

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Answers

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

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.

Explanation:

Answer:

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

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Answers

Answer:

M83 sings kim and jessie

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Answers

Answer:

intended colors

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.

Therefore, a highlight of the Impressionist movement is open-air painting, with the decomposition of colors and light.

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Answers

Answer:

Cinnabar is a mineral and Limestone is a rock.

Explanation:

Answer:

cinnabar is mineral

limestone is rock

Explanation:

Limestone, sedimentary rock composed mainly of calcium carbonate (CaCO3), usually in the form of calcite or aragonite

Cinnabar (otherwise known as mercury sulphide) is the single most toxic mineral known to man.

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A. Points to the middle staff line of treble clef

B. Points to the middle staff line of the grand staff

C.points to the middle staff line of bass clef

Answers

Answer:

A. Points to the middle staff line of treble clef

Explanation:

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Answers

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source of corruption​

Answers

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

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