catmg

Ohhh thank you. 

I didn't know. :))

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Hello Guest!

For future refrence, screenshotting will make it slightly easier for the answerers to read. :))

The answer is D. Look at the roots of the parabola, -2 and -5, this means that when -2 and -5 is plugged into x, then y will be 0. 

Checking, D is the only answer that fits.

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Sadly, I think the best way is to just count. 

1 by 1 = 16 squares

2 by 2 = 9 squares 

3 by 3 = 4 squares

4 by 4 = 1 square

Note that all the numbers above are squares, this will be a useful pattern when you need to find all the numbers quickly. 

1+4+9+16 = 30. 

I hope this helped. :))

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I think that in this case, it might be easier just to convert to base 10 and multiply. 

11001 in binary is 25. 

10011 in binary is 19. 

19*25 = 475. 

475 = 111011011 in binary

I hope this helped. :)))

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Looking at ElectricPavlov's graph, my answer is not right. 

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12*14*10/1/2/3 = 280. 

So I think that you can hold 280 boxes in the truck. 

280*.25 = 70. 

So our answer hopefully is 70. :))

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1 + x + x^2 + x^3 = 3 - x + x^3

1 + x + x^2 = 3 - x

x^2 + 2x - 2 = 0

So, we can use the quadratic equation to find the 2 ys, or we can simpify it a bit first. 

(-b+sqrt(b^2-4ac))/2a- (-b-sqrt(b^2-4ac))/2a = sqrt(b^2-4ac)/a

Now, the difference is sqrt(b^2 - 4ac). 

sqrt(2^2 - 4(-2))/1

sqrt(8)

2sqrt(2)

I hope this helped. :))

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We should use complemetary counting to solve this. 

So what's the probability that neither will be the ace of hearts. 

51/52*50/51 = 50/52 = 25/26

1-25/26 = 1/26

So the probability that at least one if the ace of hearts is 1/26. 

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Hi vockeyvockvock (your username is very fun to say)!

So, let's try visualizing this box scenerio. 

10000000

20000000

30000000

40000000

01000000

11000000

21000000

31000000

It becomes like counting in base 5. But, the numbers are reversed. (1, 2, 3, 4, 10, 11, 12, 13, 14, ...)

So we just need to convert 2010 into base 5 and sum the digits, 31020. (Normally, I'd put a link to a video explaining how to convert bases, but my posts keep getting flagged because of it.)

Now we just add the digits, 3+1+0+2+0 = 6. 

6 is our answer. :))))

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Floor means the greatest integer smaller that sqrt(23), we know sqrt(16) = 4 and sqrt(25) = 5, so the number is between 4 and 5. So the greatest integer smaller than sqrt(23) is 4. 

I hope this helped. :))

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