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Veseljchak [2.6K]
3 years ago
14

The side length, s, of a cube is x – 2y. if v = s3, what is the volume of the cube? x3 – 6x2y 12xy2 – 8y3 x3 6x2y 12xy2 8y3 3x3

– 6x2y 12xy2 – 24y3 3x3 6x2y 12xy2 24y3
Mathematics
1 answer:
astraxan [27]3 years ago
8 0

The volume of the cube of side length x - 2y is v = x^3 - 6x^2y + 12xy^2 - 8y^3

<h3>How to determine the volume?</h3>

The length of the cube is given as:

s = x - 2y

The volume is given as:

v = s^3

So, we have:

v = (x -2y)^3

Evaluate the product

v = x^3 - 6x^2y + 12xy^2 - 8y^3

Hence, the volume of the cube of side length x - 2y is v = x^3 - 6x^2y + 12xy^2 - 8y^3

Read more about volume at:

brainly.com/question/1972490

#SPJ4

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wariber [46]

Answer:

The answer is C so X is=16

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a deck of cards contains red cards number 23 blue cards numbered 1 2 3 4 and green cards numbered one to if a single card is pic
svp [43]

Correct question:

A deck of cards contains RED cards numbered 1,2,3, BLUE cards numbered 1,2,3,4, and GREEN cards numbered 1,2. If a single card is picked at random, what is the probability that the card is BLUE OR has an ODD number?

Answer: 2/13

Step-by-step explanation:

Number of red cards = 3 (1,2,3)

Number of blue cards = 4 (1, 2, 3, 4)

Number of green cards = 2 (1,2)

Total number of cards in a deck = 52

Probability of picking a blue card OR has an odd number

P(picking a blue card ) = required outcome / possible outcome

P( picking a blue card ) = 4/52 = 1/13

P( odd number card ) = 6/52 = 3/26

P(blue and odd) = 2/52 = 1/26

P(picking a blue card or an odd number )

P(picking a blue ) U P(picking an odd number)

P(picking a blue) + (P(picking an odd) - P(picking a blue odd)

1/13 + 3/26 - 1/26= (2 + 3 - 1)/26 = 4/26 = 2/13

6 0
4 years ago
Helena needs 3.5 cups of flour per loaf of bread and 2.5 cups of flour per batch of muffins. She also needs 0.75 cup of sugar pe
vesna_86 [32]
Let
 x = loaves of bread
 y = batches of muffins
 You must make a system of two equations with two unknowns that describe the problem
 3.5x + 2.5y = 17 --- (1)
 0.75x + 0.75y = 4.5 --- (2)
 Resolving we have
 x = 6-y (from (2))
 replacing in (1)
 3.5 (6-y) + 2.5y = 17
 21 - 3.5y + 2.5y = 17
 y = 21-17 = 4
 Then substituting in (2)
 x = 6-y = 6-4 = 2
 Answer
 Helena could bake:
 2 loaves of bread
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Which of the following is the equation of the line that has a slope of negative three and passes through the point begin ordered
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Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe
adoni [48]

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

#SPJ1

7 0
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