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saul85 [17]
3 years ago
10

How to express volume of a cube as a monomial

Mathematics
1 answer:
MrRa [10]3 years ago
8 0

Answer:

V=27c^{18}d^{6}\ units^3

Step-by-step explanation:

The complete question in the attached figure

we know that

The volume of a cube is equal to

V=b^3

where b is the length side of a cube

In this problem we have

b=3c^{6}d^{2}

substitute in the formula

V=(3c^{6}d^{2})^3

V=(3)^{3}(c^{6})^{3}(d^{2})^{3} -----> by power of a product

V=(3)^{3}(c^{6*3})(d^{2*3}) ----> by power of a power

Simplify

V=27c^{18}d^{6}\ units^3

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When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
Ksenya-84 [330]

Option D statement "A 12-gallon tank would cost $47.40 to fill completely" is true.

<h3>What is a domain?</h3>

The whole of the independent variable's possible values makes up the domain of a function.

For the given data we need to find which of the given statements are true.

From option A:

The domain is {4, 8, 11, 15}.

The domain is all possible x values so this would be 0 to infinity as you can pay for more gallons not just to that certain set of numbers.

Therefore, option A is False.

From option B:

An 11-gallon tank would cost $44.00 to fill completely.

From the given table we can see that 11-gallon tank costs $43.45.

Therefore, option B is False.

From option C:

A 9.1-gallon fill-up would cost $35.49.

To find 9.1 gallons we need to find the cost of 1-gallon.

That is, 15.80/4 = $3.95 (Given in the table)

Now the cost of 9.1 gallon tank is $3.95 x 9.1 = $35.95 not $35.49

Therefore, option C is False.

From option D:

A 12-gallon tank would cost $47.40 to fill completely.

We found that 1 gallon is $3.95.

$3.95 x 12 = $47.40

Therefore, option D is True.

Hence, from the given statements option D is True.

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2 years ago
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What is the domain and range of the following graph?
puteri [66]

Using it's concepts, the domain and the range of the graph are given as follows:

  • Domain: all real values except x = -1.
  • Range: All real values.

<h3>What are the domain and the range of a function?</h3>

  • The domain of a function is the set that contains all the values of the input. In a graph, it is given by the values of x, which is the horizontal axis of the graph.
  • The range of a function is the set that contains all the values of the output. In a graph, it is given by the values of y, which is the vertical axis of the graph.

In this graph, have that the function is defined for all values of x except x = -1, and assumes all real values, hence the domain and the range of the graph are given as follows:

  • Domain: all real values except x = -1.
  • Range: All real values.

More can be learned about the domain and the range of a function at brainly.com/question/10891721

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6 0
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Answer:

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Step-by-step explanation:

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Answer:

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because if she gets $4 per book and gets $44 in total then that means she has read 11 books because 4 times 11 is 44.

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