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3 years ago

Is 3/4 a rational number

Mathematics

1 answer:

Verizon [17]3 years ago

6 0

Hello,

3/4 is a rational number because it can be written as a fraction.

Thanks,

Deku ❤

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Square root of 2 divided by 2

Free_Kalibri [48]

I dont know for a fact but it could be 0.70710678118 but im not sure

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3 years ago

Jobisdone [24]

Answer:

B and D

Step-by-step explanation:

B because if you dont and it is a real cop you would get an even bigger fine. D because you never know.

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3 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

Arithmetic Sequence

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

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2 years ago

What is the least significant place in 0.1030

olchik [2.2K]

<h3>Least Significant Digit Place (LSD)</h3>

The Least Significant Digit Place, or LSD, is the digit with the least value in a string of numbers.

In 0.1030, there are 4 different significant places. 0.1030

For 0.1030, the least valuable digit place is the 0.1030. This is because this numeral appears at the end of the string, and is the least valuable.

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3 years ago

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Chose the graph that represents the equation y=|x-4|

evablogger [386]

You have not shared the graphs from which you have to choose your answer.

Why not graph y=|x-4| yourself, to help you choose the correct answer?

First, graph y=|x|. It looks like a "v" opening up, with the vertex at (0,0).
Next, move the whole "v" graph 4 units to the right.

Compare your result to the given answer choices.

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3 years ago

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