Answer:
2^n
Step-by-step explanation:
So whenever you flip a coin, you can see it as 2 nodes branching off of each existing node. so for example when you flip a coin once you're going to have 2 sequences initially H and T, now when you flip a coin again for each of those 2 sequences 2 are going to branch off of that, making the total sequences 4, and the next flip 2 sequences are going to branch off each of the 4 sequences and so on. this can generally be described as: 2^n
I attached an image describing this a bit better but the bottom line is that for each 'end node'/sequence you're going to have 2 branch off of it, thus for each coin flip the number of sequences multiplies by 2
Answer:
Step-by-step explanation:
Common difference = 5
a₁ = 24
a₆ = a₁ + (6-1)5 = 49
Answer: -0.729
Step-by-step explanation:
Answer:
The answer is 180 degrees.
Step-by-step explanation:
The rotation that maps one side to an adjacent side is 360°/6 = 60°. This is the least rotation that plots the regular hexagon to the aforementioned. In the least whole number of these minimum rotations, such as three 60° rotations to make 180°, will retain the hexagon identical.
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Answer:
Alexander
Step-by-step explanation:
Alexander has painted 2/3 of his room. Quinn has painted 2/5 of his. To find who has painted more, convert both fractions to have the same denominators. An easy way to do this is to multiply the numerator and denominator of one fraction by the denominator of the other, then do the same for the other fraction. So, 
· 5 = 
and 
· 3 = 
.
> . So, Alexander has painted more of his room than Quinn has.
