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sineoko [7]
3 years ago
6

Is 3/47 a rational number

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0
3/47 is a rational number

p/q is a rational number, where p and q are real integers, and q does not equal to 0.
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Which points are located in the third quadrant?
8090 [49]

Answer: for example (-2,-2), (-3,-6), and (-8,-10)

Step-by-step explanation: every point in the third quadrant is both negative.

8 0
2 years ago
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
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What is the circumcenter of the points (2,6), (8,6), (8,10)
mario62 [17]

See https://web2.0calc.com/questions/need-help-now_10.

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2 years ago
The expression 3(x-9) is equivalent to <br><br> 3(x)+9<br> 3(x)+3(9)<br> 3(x)-9<br> 3(x)-3(9)
ollegr [7]

3(x-9)

 when you distribute the equation you get

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6 0
3 years ago
Read 2 more answers
“Use the graph or table to write a linear function that relates y to x”
Igoryamba

Answer:

8)y=2x-3

9)y= -1/2+4

Step-by-step explanation:

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2 years ago
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