!!!Mr. BB!!! Congratulations on your formula discovery.
I’d nominate you for a Fields Medal, but I’m sure you are a few decades past the maximum age limit. But maybe you’ll win a “quantized Fields Medal,” a sobriquet for the International Mathematical Union (IMU) silver plaque presented to Andrew Wiles in recognition for his proof of Fermat's Last Theorem.
However, if more of these are ever presented, I suspect the recipients will be less than 45 years of age; and I could only speculate (wildly) for which kinds of math the awards may be presented. But I’m fairly sure it won’t be for this one.
GA
--. .-
Put in the "WolframAlpha" and solve for A. It will probably give you the correct answer, but no step by step unless you are subscribed to it.
Let the time it took you to drive to the beach ==T
40T ==20[T + 20/60], solve for T
T ==1/3 of an hour - or 20 minutes
1/3 x 40 ==13 + 1/3 miles - that you drove.
Ohhhhh I see. I'm so used to seeing radians with $\pi$ I totally forgot. Thank you! Also, the -9 works for C because it's going the opposite direction of -155,7 degrees (r=-4). Thank you so much again
Faulty question !
100% - 6% ==94%
19,400 x 0.94^6 ==
19,400 x 0.689869781056 ==$13,383.47 - value of the boat after 6 years.
Perhaps it's easier to see in degrees:
1 radian = 57.3 degrees
2 radians = 114.6 degrees
-7 radians = -401.1 degrees This has rotated clockwise by more than 360 degrees. How much more? -41.1 So it's in the fourth quadrant.
-9 radians = -515.7 degrees. This has also rotated clockwise by more than 360 degrees. How much more? -155.7. This place it in the third quadrant, which doesn't match any of the points on your diagram!
Your answer should be 9 NOT 10
20 + 16 + 9 ==45
5 x 9 ==45
picture?
In this case, the unknown side of the triangle has a length of 10 inches. This can be determined by using the formula for the perimeter of a triangle: P = a + b + c, where a and b are the lengths of the known sides and c is the unknown side. We can rearrange this equation to solve for c: c = P - a - b. In this case, P = 5c, so 5c - a - b = c, and c = 5c - a - b. Substituting the given lengths for a and b, we have 5c - 16 - 20 = c, and c = 10. Therefore, the length of the unknown side of the triangle is 10 inches.
Wait but i'm confused so what's the final answer?
23 , 32 , 113 , 122 , 131 , 212 , 221 , 311 , 1112 , 1121 , 1211 , 2111 , 11111 , Total = 13 such positive integers.
This one is simple, just expand the equality constant, and then solve the quadratic equation. 2008^2 + 2008.2.x + x^2 = x^2 <=> 4016x + 2008^2 = 0
backrooms
As a modular inverse, 2^{-1} = 6.
Then 2^{-2} = 6^2 = 10
2^{-3} = 6*10 = 60 = 8
2^{-4} = 6*8 = 48 = 9
2^{-5} = 6*9 = 54 = 2
2^{-6} = 6*2 = 12
Adding these up, we get 6 + 10 + 8 + 9 + 2 + 12 = 47 = 8 mod 13.
The answer is 8.