InhumanCalculator

We know that the tens digit cannot be 0, so we can count the total number of integers between 10 and 99 with 0 as a unit's digit:

10

20

30

40

50

60

70

80

90

Hope this helped. Let me know if I did anything wrong!

If the two lines are parallel, then they have the same slope. We can calculate the slope of the first equation to be -1/3 (remember, the slope in standard form is -A/B for Ax+By=C). Now that we know the slope, we can calculate the x and y intercepts using the point and extending it:

x-intercept = (-1,0)

y-intercept = (0,-1/3)

You can now plug this back into the equation and solve for A and B.

I hope this helped. Let me know if I did anything wrong!

Well, this depends. Are you asking -(2)^2 or (-2)^2? This matters because, as per the order of operations, exponents are calculated first. So, in the first situation:

-(2)^2 = -4

In the second situation, however, we are squaring the entire expression of -2. A negative squared is a positive, so (-2)^2 = 4.

Does the question look like -2^2 or (-2)^2? Because that will change the answer.

Let me know if I did anything wrong! Hope this helps.

Since we know that f(4) = 1, we can plug that information into the second equation and get:

f(2*4) = 3f(4)

f(8) = 3*1

f(8) = 3

f(2*8) = 3f(8)

f(16) = 3*3

f(16) = 9

f(2*16) = 3f(16)

f(32) = 3*9

f(32) = 27

f(2*32) = 3f(32)

f(64) = 3*27

f(64) = 81

Hope this helped. Let me know if I did anything wrong!

We can use the distance formula, or s = d/t.

s = d/12 (since the distance remains constant we can use it for the second equation too)

s - 35 = d/27

s = d/27 + 35

d/12 = d/27 + 35

I believe you can solve for d, and then plug that back into one of the original equations to get the value of s. The speed in light traffic is "s", and the speed in heavy traffic is "s-35".

Hope this helps. Let me know if I did anything wrong!

If Angle A is 27 degrees, and A, B, and C form an arithmatic sequence in that order, then we can say that:

A + (A + d) + (A + 2d) = 180, where d is the common difference.

= 27 + (27 + d) + (27 + 2d) = 180

You can then solve for d, and thus solve for C.

Hope this helped! Let me know if I did anything wrong! If you don't understand my method then you can reply and I will do my best to explain more thoroughly!

I am not smart enough yet to make AIME, but when I saw this problem I definitely got a little suspicious, as I knew one of my friends was taking the test and it was happening at that time. Later confirmed it was a real AIME problem. I wish good luck to everyone who attempted AIME this year PROPERLY, cheaters get nowhere in life. Hope to make it next year myself though!

I don't believe this has an actual computable answer... even if you enter it into a calcuator the value is too high to display. By hand is a whole other matter.