Our Tiny, Tiny, Tiny Planet
This ancient Greek philosopher theorized stellar evolution way before anyone knew what stars were.
Hipparchus
10, -20, 40, -80, 160, ...
What comes next?
According to legend, this man conjured gravitation after an apple fell on his head.
Sir Issac Newton
Count Dracula knows that 40% of people have tasty blood. The probability that the next two people he targets both have tasty blood is ____
I can grasp objects that have matter due to this force
Electrostatic
You're hot! You're hot! You're the hottest star there is because you shine light of this color
Blue
The recursive definition for a geometric sequences is:
a1=3
an=an-1*2
What is the value of a3?
12
a2=3*2=6a3=6*2=12
Orbits are not ______, they're _______, you pre-enlightenment alchemist!
1. circular
2. elliptical
Count Dracula wants to know the 500th number in the sequence:
6, 4, 2, 0, 6, 4, 2, 0, 6, 4, 2, 0, ...
What is it?
0
This cool mathematical pattern can be found in sunflowers
What is a golden spiral?
This process has produced every single element in your body that's heavier than hydrogen.
Nuclear Fusion
The explicit formula for a geometric sequence is:
an=3*2n
What is the value of the 5th term?
96
3*25=3*32=96
"This is gonna hurt me a lot more than it's gonna hurt you" is a false statement due to this law.
Newton's Third Law
Count Dracula wants to pick 2 fangs to wear. He has 5 fangs to choose from. How many ways can he pick 2 fangs to wear?
This electrical engineer/inventor/scientist would later go on to use Faraday's engineering to invent a type of generator that still powers the world to this day.
Nikola Tesla
Should you have a star made up of this kind of non-charged subatomic particle, your gravity will only be rivaled by black holes.
Neutron
S=8+4+2+1+1/2+...
What is the value of S?
16
S=a/(1-r)
a=8
r=1/2
8/(1-1/2)=8/(1/2)=8*2=16
If two variables have a constant product, then they have this kind of relationship.
Inverse
Count Dracula has 10 friends. But he only knows how to write in binary. How do you write the number of friends that Count Dracula has in binary?
1010
1*8+0*4+1*2+0*1=10
How many ways are there to climb a set of 5 stairs, taking one or two stairs at a time?
8
Thanks to this, we have snow during winter and heat strokes in summer, but only if you're in the Northern hemisphere.
Earth's axis tilt
If 1+x+x2+x3+x4+... = 5/4, what is the value of x?
1/5
S= 5/4 = a/(1-r) = 1/(1-x)
5/4(1-x)=1
5/4-5/4x=1
5/4x=1/4
x=1/5
JJ Thomson discovered electrons thanks to this device
Cathode Ray Tube
Count Dracula has to create a new coffin to sleep in. He has four different pillows and can add as many as he wants. How many different ways are there for him to choose pillows for his coffin?
24=16
If you slap your hand on a table hard enough there's a small chance it'll go through it thanks to this wild phenomenon.
Quantum tunneling