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Eva8 [605]
3 years ago
15

Write this number using digits six million, ninety thousand three

Mathematics
2 answers:
alexira [117]3 years ago
8 0
The answer on the image would be 40,065.

The answer for the question being asked is 6,090,003.

To find the problem you have you would sort each number in a certain level. For 6 million it would be sorted into the one million because it is a single digit in the million. The 90 thousand would be sorted into the 10 thousands because it is not over 100 thousand. Next would be 3 which is just a single number where you would put at the end.
bixtya [17]3 years ago
3 0

Answer:

6090003

Step-by-step explanation:

6090003

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Elena-2011 [213]
I'm confused to do you have an example
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2 years ago
Power Series Differential equation
KatRina [158]
The next step is to solve the recurrence, but let's back up a bit. You should have found that the ODE in terms of the power series expansion for y

\displaystyle\sum_{n\ge2}\bigg((n-3)(n-2)a_n+(n+3)(n+2)a_{n+3}\bigg)x^{n+1}+2a_2+(6a_0-6a_3)x+(6a_1-12a_4)x^2=0

which indeed gives the recurrence you found,

a_{n+3}=-\dfrac{n-3}{n+3}a_n

but in order to get anywhere with this, you need at least three initial conditions. The constant term tells you that a_2=0, and substituting this into the recurrence, you find that a_2=a_5=a_8=\cdots=a_{3k-1}=0 for all k\ge1.

Next, the linear term tells you that 6a_0+6a_3=0, or a_3=a_0.

Now, if a_0 is the first term in the sequence, then by the recurrence you have

a_3=a_0
a_6=-\dfrac{3-3}{3+3}a_3=0
a_9=-\dfrac{6-3}{6+3}a_6=0

and so on, such that a_{3k}=0 for all k\ge2.

Finally, the quadratic term gives 6a_1-12a_4=0, or a_4=\dfrac12a_1. Then by the recurrence,

a_4=\dfrac12a_1
a_7=-\dfrac{4-3}{4+3}a_4=\dfrac{(-1)^1}2\dfrac17a_1
a_{10}=-\dfrac{7-3}{7+3}a_7=\dfrac{(-1)^2}2\dfrac4{10\times7}a_1
a_{13}=-\dfrac{10-3}{10+3}a_{10}=\dfrac{(-1)^3}2\dfrac{7\times4}{13\times10\times7}a_1

and so on, such that

a_{3k-2}=\dfrac{a_1}2\displaystyle\prod_{i=1}^{k-2}(-1)^{2i-1}\frac{3i-2}{3i+4}

for all k\ge2.

Now, the solution was proposed to be

y=\displaystyle\sum_{n\ge0}a_nx^n

so the general solution would be

y=a_0+a_1x+a_2x^2+a_3x^3+a_4x^4+a_5x^5+a_6x^6+\cdots
y=a_0(1+x^3)+a_1\left(x+\dfrac12x^4-\dfrac1{14}x^7+\cdots\right)
y=a_0(1+x^3)+a_1\displaystyle\left(x+\sum_{n=2}^\infty\left(\prod_{i=1}^{n-2}(-1)^{2i-1}\frac{3i-2}{3i+4}\right)x^{3n-2}\right)
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3 years ago
Is 3/8 Greater than, less than or equal 7/12
Alborosie

Answer:

3/8 is less then 7/12

Step-by-step explanation:

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Answer: THE LAST OPTION

Step-by-step explanation:

1. You have the following equation given in the problem:

\frac{2}{3}x-\frac{1}{2}y=6

2. If you multiply both sides of the equation shown above by 6, you obtain the following:

\frac{2*6}{3}x-\frac{1*6}{2}y=6*6

\frac{12}{3}x-\frac{6}{2}y=36

3. When you simplify the equation, you obtain the following equivalent equation:

4x-3y=36

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Answer:

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Step-by-step explanation:

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