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boyakko [2]
3 years ago
10

The repeating decimal for 3/9

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
8 0

For 3/9, the repeating decimal is .3

Serjik [45]3 years ago
5 0
First off, the definition of repeating demical is that after division, the answer consist of an infinite number that's the same in demical place.

In your case, the answer of 3/9 is:

3/9

=0.333333333333....

The demical number 3 is infinite.

Therefore, the repeating demical is 3.

Hope it helps!
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PLZ HELP!!! Use limits to evaluate the integral.
Marrrta [24]

Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:

\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]

Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,

r_i=\dfrac{2i}n

where 1\le i\le n. Each interval has length \Delta x_i=\frac{2-0}n=\frac2n.

At these sampling points, the function takes on values of

f(r_i)=7{r_i}^3=7\left(\dfrac{2i}n\right)^3=\dfrac{56i^3}{n^3}

We approximate the integral with the Riemann sum:

\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{112}n\sum_{i=1}^ni^3

Recall that

\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4

so that the sum reduces to

\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{28n^2(n+1)^2}{n^4}

Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:

\displaystyle\int_0^27x^3\,\mathrm dx=\lim_{n\to\infty}\frac{28n^2(n+1)^2}{n^4}=\boxed{28}

Just to check:

\displaystyle\int_0^27x^3\,\mathrm dx=\frac{7x^4}4\bigg|_0^2=\frac{7\cdot2^4}4=28

4 0
3 years ago
Find the median of the data.
kipiarov [429]

Answer:

  • 92.5

Step-by-step explanation:

<u>The data given:</u>

  • 93, 81, 94, 71, 89, 92, 94, 99

<u>Put the data in the ascending order:</u>

  • 71, 81, 89, 92, 93, 94, 94, 99

<u>Since the data size is even, the median is the average of middle two:</u>

  • median = (92 + 93)/2 = 92.5

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2 years ago
A basketball has a circumference of 29.5 inches using 3.14 as an approximation for pie what is the basketball volume to the near
Elena L [17]
It is about 434 cubic inches.

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3 years ago
Seventh grade &gt; DD.7 Compound events: find the number of outcomes HZR
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3 years ago
An arc on a circle measures 295°. The measure of the central angle, in radians, is within which range?
andrezito [222]

Answer:

3pi/2 to 2π radians

Step-by-step explanation:

The centeal angle also has 295⁰. This value is between 275⁰ (or 3×pi/2) and 360⁰ (or 2×pi).

So, the answer is: 3pi/2 to 2π radians

3 0
3 years ago
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