Math questions, how many of you know…?

Question

-Did you know that 0^1 is greater than 0^0?
-Did you know there are more points in a circumference radius 2 than in a circumference with radius 1?
-Did you know that in Geometry is TRUE that ((a triangle is not a square) AND (a square is not a rectangle))?
-Did you know that (infinity + 1) is greater than just (infinity)?

You are just jealous that I know of this and you don’t!

Yes, all my "facts" are FALSE.

1)
X^0=1, x=Real number
Even when x=0(convention)
If you get a good calculator like the ti-89(includes the “infinity” symbol) or above, you will get those outputs.

2) Agree

3)
It’s a LOGIC question that require geometry knowledge.
true AND false = false
“square” is only an name abbreviation, the correct name is “square RECTANGLE”, that means is a rectangle(all rect(90º) angles) that happens to be also square(all equal sides), it is a special case of the rectangle.

4)Agree, inf+1=inf
Again, if you input (infinity symbol+1) on a good calculator you will get the output (infinity)

Answer 1

None of those are true.

1) 0^0 is not 1, it does not have a value (indeterminate is the term).
2) There are the same number of points on any circle (for infinite sets, you would say that they have the same cardinality).
3) In logic, when you have true statement and a false statement (squares are rectangles), the result is a false statement.
4) Again, with infinite sets, infinity and infinity +1 have the same cardinality.

Answer 2

first one is wrong... anything raised to the power of zero is 1, 0 raised to the power of 1 is just zero so 0^0 > 0^1

the second one is fine

the third one, well its true that a triangle is not a square, but by definition a rectangle is defined as a quadrilateral where all four of its angles are right angles. Thus a square is also clearly a rectangle.

4th one is also wrong, you cant add anything to infinity, its not defined in our system of mathematics - it doesnt make any sense, infinity is a weird concept to get and you cant multiply it, add to it or perform any mathematical functions on it.

so yeah, 1 and a half of your statements are true

Answer 3

In question 2, it's unclear which circle have more points than the other. In question 3, you're right that a triangle isn't a square. However, any plane that has 4 sides and 4 right angles is a rectangle, even squares.

Answer 4

Apparently you are the only one around.

How did you ever deduce these using your infinite wisdom, oh great one?

The first one, you cannot claim because we do not know what is the value of 0^0.

There are infinite points on the circumference of a circle. So (loosely speaking) both of those circles have the same number of points.

The third, good job Captain Obvious and bad job you idiot!

The last one is just plain moronic. You are treating a infinity like a number. You are adding a finite number to it AND THEN YOU ARE COMPARING IT! What the hell is wrong with you?

Answer 5

WOW! You actually know the difference between a square and a triangle? We stupid people are so overwhelmed by your massive brain! How did we ever get by in life by not knowing about squares and triangles.

And Infinity + 1? Words fail me..., but let me try...., GET A JOB AND A LIFE! Geesh. Where have you been? Mars? Under a rock? I hope and pray they dont ever hire you at NASA for anything more than a mop pusher. Heaven forbid they even put you in charge of flushing the toilet on the Space Station.

Uhm..., but I mean that in a kind sort of way.

Answer 6

1) 0^1 = 0 0^0 = 1 (recent math. convention)

So, 0 is not equal to 1 => 0^1 is not equal to 0^0

4) infinite + 1 = infinite and infinite is not a number so
the answer is ''indeterminate''

3) ?

2) The number of points for both cercles are infinite so
''.infinite'' is not a number. Conclusion: ''indeterminate

Answer 7

The first one is not true. 0^1 = 0, and 0^0 = 1, so 0^0 > 0^1.

Answer 8

The first 4, yes.

The last is not true. It is EQUAL.