What is the decimal equivalent to 6/11

Mathematics

2 answers:

Elina [12.6K]3 years ago

7 0

Answer:

0.54545454

Step-by-step explanation:

Liula [17]3 years ago

4 0

Answer:

0.⁻₅⁻₄⁻

Step-by-step explanation:

0.54 repeating

6/11= 0.54545454...

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If k and b are constant such that lim x approach infinity (kx+b-(x^3+1)/(x^2+1)=0. Find the values of k and b

Anna [14]

Combining the terms into one fraction, we have

$kx + b - \dfrac{x^3+1}{x^2+1} = \dfrac{(k-1)x^3 + bx^2 + kx + b - 1}{x^2+1}$

If this converges to 0 as $x\to\infty$ , then the degree of the numerator must be smaller than the degree of the denominator.

To ensure this, take $k=1$ and $b=0$ . This eliminates the cubic and quadratic terms in the numerator, and we do have

$\displaystyle \lim_{x\to\infty} \frac{x - 1}{x^2 + 1} = \lim_{x\to\infty} \frac{\frac1x - \frac1{x^2}}{1 + \frac1{x^2}} = 0$

Alternatively, we can compute the quotient and remainder of the rational expression.

$\dfrac{x^3+1}{x^2+1} = x - \dfrac{x-1}{x^2+1}$

Then in the limit, we have

$\displaystyle \lim_{x\to\infty} \left(kx + b - x + \frac{x-1}{x^2+1}\right) = (k-1) \lim_{x\to\infty} x + b = 0$

Both terms on the left vanish if $k=1$ and $b=0$ .

3 0

2 years ago

What is the perimeter of rhombus ABCD? 10 units 20 units units units

Ainat [17]

Answer:
20 units
Step-by-step explanation:
We are given that
On a coordinate plane , rhombus ABCD in which point A is at (1,1) and point B is at (-2,-3), point C is at (-5,1) and D is at (-2,5).
We have to find the perimeter of rhombus ABCD.
Distance formula :
Using the distance formula
Side AB=
We know that sides of rhombus are equal
Therefore, AB=BC=CD=AD=5 units
Perimeter of rhombus=
Perimeter of rhombus=
Answer: 20 units

Read more on Brainly.com - brainly.com/question/13829807#readmore

3 0

3 years ago

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16x6 – 81 = I need help on this

kipiarov [429]

Answer:

Step-by-step explanation:

16 x 6 = 96

96 - 81 = 15

6 0

3 years ago

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