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elixir [45]
3 years ago
5

Square root of 8.8 up to two decimal step by step explanation

Mathematics
1 answer:
telo118 [61]3 years ago
3 0

Answer:

2.97

Step-by-step explanation:

8.8 = 4 *2.2 = 4 * 220/100

220 = 4 *55

8.8 = (4 *4*55)/100 = 16 *55/100

\sqrt{8.8} =\sqrt{(16 * 55)}/\sqrt{100\\}

\sqrt{8.8}= \frac{4}{10}*\sqrt{55}

≈\sqrt{8.8} = 0.4 * 7.416 = 2.9664 \\2.97

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nadya68 [22]

For this case we have that by definition, an equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, then we find the slope:

(x1, y1): (- 1, -5)\\(x2, y2): (- 3, -7)

m = \frac {y2-y1} {x2-x1} = \frac {-7 - (- 5)} {- 3 - (- 1)} = \frac {-7 + 5} {- 3 + 1} = \frac {-2} {- 2} = 1

Then, the equation is of the form:

y = x + b

We substitute a point and find b:-5 = -1 + b\\-5 + 1 = b\\b = -4

Finally we have:

y = x-4

Answer:

Option B

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3 years ago
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The sum of the first n terms of an arithmetic series is n/2(3n-5). If the second and fourth terms of the arithmetic series are t
sergiy2304 [10]

Let <em>a</em> be the first term in the arithmetic sequence. Since it's arithmetic, consecutive terms in the sequence differ by a constant <em>d</em>, so the sequence is

<em>a</em>, <em>a</em> + <em>d</em>, <em>a</em> + 2<em>d</em>, <em>a</em> + 3<em>d</em>, …

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The sum of the first <em>n</em> terms of this sequence is given:

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We can simplify the left side as

\displaystyle \sum_{i=1}^n (a+(i-1)d) = (a-d)\sum_{i=1}^n1 + d\sum_{i=1}^ni = an+\dfrac{dn(n-1)}2

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an+\dfrac{dn(n-1)}2 = \dfrac{n(3n-5)}2

or

a+\dfrac{d(n-1)}2 = \dfrac{3n-5}2

Let <em>b</em> be the first term in the geometric sequence. Consecutive terms in this sequence are scaled by a fixed factor <em>r</em>, so the sequence is

<em>b</em>, <em>br</em>, <em>br</em> ², <em>br</em> ³, …

with <em>n</em>-th term <em>br</em> ⁿ⁻¹.

The second arithmetic term is equal to the second geometric term, and the fourth arithmetic term is equal to the third geometric term, so

\begin{cases}a+d = br \\\\ a+3d = br^2\end{cases}

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Multiply both sides by <em>r</em> :

<em>rS</em> = <em>br</em> + <em>br</em> ² + <em>br</em> ³ + … + <em>br</em> ¹¹

Subtract this from <em>S</em>, then solve for <em>S</em> :

<em>S</em> - <em>rS</em> = <em>b</em> - <em>br</em> ¹¹

(1 - <em>r</em> ) <em>S</em> = <em>b</em> (1 - <em>r</em> ¹¹)

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Answer

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Since our domain is all real numbers, we can connect these points based on the pattern that they are forming on the graph which is a line.

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