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Let m=37. We can show that n is divisible by 37 if and only if the result of this process is divisible by 37 as follows:

If n is divisible by 37, then the alternating sum of the two-digit chunks is divisible by 37.

This is because the alternating sum of the two-digit chunks is just the sum of the digits of n, modulo 37. Since n is divisible by 37, the sum of its digits is also divisible by 37, so the alternating sum of the two-digit chunks is also divisible by 37.

If the alternating sum of the two-digit chunks is divisible by 37, then n is divisible by 37.

This is because the sum of the digits of n is congruent to the alternating sum of the two-digit chunks, modulo 37. Therefore, if the alternating sum of the two-digit chunks is divisible by 37, then the sum of the digits of n is also divisible by 37, so n is divisible by 37.

Therefore, the alternating sum of the two-digit chunks is a divisibility test for 37.

To see this in action, let's consider the number 354764. The alternating sum of the two-digit chunks of 354764 is 64−47+35=52. Since 52 is divisible by 37, we know that 354764 is also divisible by 37.

I sorta agree with you. Just because they gave you a question does not mean that they are a hw cheater. 

It's not my homework though, my real hw is so easy I wouldn't bother putting it here. 

Adding on to HumenBeing, you should check whether or not the question has been already asked, which it has. 

I don't cheat on my homework, it's way too easy I just solve it myself, it's not even worth the time to post a question. 

Looks like someone's cheating again!

No cap, but these problems I found online for people who are bored on web2.0calc.com. So please do not accuse me of being a homework cheater when I obviously said that these were some Challenge Problems that I think are fun to solve. Please understand, and thank you. 

Nice ad, but on "ever again", you said "every again." That shows that you don't even use Grammerly yourself, so you should not advertise me to use Grammarly. 

There is another saying on https://web2.0calc.com/questions/for-those-of-you-wondering-about-cphill-and-others

The two points of intersection are (x,3x+a) and (x,x2+x). Setting these equal, we get [3x+a=x^2+x.]Then x2−2x−a=0. By the quadratic formula, the roots of this equation are [x=\frac{2 \pm \sqrt{5}}{2}.]Since the distance between the two points is 3√30, the two roots must be (2 - sqrt(5)/2​ and (2 + sqrt(5))/2​.

The sum of the roots is 2/2​=1, so a=−1+5/2​=3/2​​.

I am perfectly fine with disinformation for homework cheaters, the website is not for them.

And I noticed the amount of disinformation here, there are a lot of good answers, but also a lot of ChatGPT generated and wrong answers... That's not what this website is for. 

This isn't my hw though... and I could tell it was ChatGPT generated just by looking at it. Not every question asked is from homework.

"Here are a couple challenge problems that I think are fun to solve. "

With Grammarly, you will never misspell "Here are some of my homework problems that I want you do for me" every again! Head over to grammarly.com to get started!

OMG THAT'S WHAT IM SAYINg!

This is chatgpt generated, but it won't get deleted since "we don't have any proof" or some other st*pid reason. But I don't care, in fact I encourage the use of ChatGPT to confuse homework cheaters such as HumenBeing

Stop cheating, your wasteful b*tch,

Cause most of the time, for every question I ask, people post incorrect answers, which doesn't help at all. 

Do not cheat on your homework.  We are not here to do your homework for you.

You should have given one side of the triangle.

Side = 1

Equilateral triangle.

Sides: a = 1   b = 1   c = 1

Inradius: r = 0.289
Circumradius: R = 0.577

Area of a circle ==r^2 * Pi

x == 0.577^2  *  Pi ==1.0459273 u^2 - area of the circumcircle

y == 0.289^2 *  Pi ==0.26238896 u^2 - area of the incircle

x  -  y ==1.0459273 - 0.26238896 ==0.78353834 u^2 - difference between the area of circumcircle and the incircle.

Note: if you know the side of the equilateral triangle, then multiply everything in this answer by that side.

For the last time: this question doesn't make any sense. If you drove 5 mph faster, you would have arrived EARLIER not later, so I assume you mean earlier. This has been posted too many times already. Forget the answer, if you post something, make sure the QUESTION makes sense. 

I get it now. It's because of all those people who just randomly post ChatGPT-generated (and incorrect) answers, and those people who just post random things and need to go back to 1st grade to study 5 + 5. There are a lot of good answers here, and answers where someone just made an understandable mistake, but also lots of misinformation. 

Yeah, there is no easy answer here, where obviously just taking the cube root is incorrect. If you think that, go back to school and learn the correct answer. 

ChatGPT's math skills are literally nonexistent. When I asked it a math question to see if everyone was right about it being terrible at math... it didn't even generate the possibility that x^3 = -8 and said it was impossible. But obviously -2^3 = -8. So DON'T use ChatGPT generated answers, they are useless. 

The vertical line of symmetry means the parabola is symmetric around the line x = 2, so the x-coordinate of the vertex is 2. Since the vertex is the midpoint of the segment connecting the two points (1,1) and (4,-7), the x-coordinate of the vertex is 21+4​=3. Therefore, the vertex of the parabola is (3,v), where v is the value of y when x = 3.

We know that the parabola goes through the point (1,1), so we can use the point-slope form of the equation of a line to get the equation of the parabola:

y - 1 = m(x - 1)

where m is the slope of the parabola. Since the parabola is symmetric around the line x = 2, the slope of the parabola is equal to the negative reciprocal of the slope of the line connecting the two points (1,1) and (4,-7), which is (-7 - 1)/(4 - 1) = -8/3. Substituting this into the point-slope form of the equation of the parabola, we get the equation of the parabola:

y - 1 = (-8/3)(x - 1)

or

y = -8/3 * x + 17/3

To find the value of v, we substitute x = 3 into this equation to get

v = -8/3 * 3 + 17/3 = 1

Therefore, the vertex of the parabola is (3,1).

Since the greater root of the quadratic is √n + 2, the other root must be √n - 2. Since the sum of the roots of the quadratic is 3 (the x-coordinate of the vertex), we have

√n - 2 + √n + 2 = 3

or

2√n = 5

or

√n = 5/2

or

n = (5/2)^2 = 25/4

Therefore, the answer is 25/4.