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steposvetlana [31]
3 years ago
7

Try It for Example 3: Is 3.14144144414444... a rational number? Explain your reasoning. *

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
5 0

it's irrational

A rational number can be put over a fraction, while this number continues forever

attashe74 [19]3 years ago
4 0

I will try to make this as simple as possible.

First off, we need to know what a rational number is: A rational number is any number that can be made by dividing 2 integers. For example:

1.5 would be a rational number because 1.5 = 3/2 (3 and 2 are both integers)

With that being said, let's begin.

First off, let's start with -0.3, let's ask ourselves, can we make this number by dividing 2 integers, the answer is yes, we can, by doing we have the equivalent of -0.3, so now we know it's a rational number.

As for the second one, it can't be a rational number because it can't be made by dividing to integers, so the answer is:

-0.3 is a rational number, but 3.14144144414444 is not.

Hope this helped! c:

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

f\left(x\right)=\sqrt{x^3-16x}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis.

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

x^3-16x\ge 0

as x³ - 16x ≥ 0

\left(x+4\right)\left(x-4\right)\ge \:0

Thus, identifying the intervals:

-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4

Thus,

The domain of the function f(x) is:

x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}

And the Least Value of the domain is -4.

3 0
3 years ago
"A researcher records the time (in seconds) that participants arrive late for a scheduled research study. Assuming these data ar
MA_775_DIABLO [31]

Answer:

Mean is the measure of central tendency is most appropriate to describe the given data.

Step-by-step explanation:

We are given the following in the question:

The distribution of time in seconds is a bell shaped distribution that is a normal distribution.

Properties of a normal distribution:

  • The mean, mode and median for a normal distribution are equal.
  • The mean divides the data into two equal parts.
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Thus, the correct answer is

Mean is the measure of central tendency is most appropriate to describe the given data.

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4 years ago
The cost of dozen eggs depends on the size of eggs what is the independet value?
gavmur [86]
The size of the egg is the independent value.
8 0
3 years ago
PLEASE HELP...
djverab [1.8K]

The area of the given rectangle is of the standard form option 1.2x^{2} + 3x - 20.

Step-by-step explanation:

Step 1:

The parameters needed to determine the area of a rectangle are the base length and the width.

The base length of this rectangle is 2x-5 units while its width is x+4 units.

The area of a rectangle is determined by multiplying the base length with the width.

Step 2:

The area of the rectangle = (length)(width).

Here length is 2x-5 units and the width is x+4 units.

The area of the rectangle= (2x-5)(x+4) = 2x^{2} + 8x -5x-20 = 2x^{2} + 3x - 20.

So the area of the given rectangle is of the standard form 2x^{2} + 3x - 20 which is the first option.

7 0
4 years ago
During a field trip, 60 students are put into equal-sized groups.
borishaifa [10]

Answer:

here is the Answer for you my bros        

    The number of students in class is represented by  

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The words “divided into three equal groups” means  

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The correct algebraic expression is  

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Step-by-step explanation:

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