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
25 of 100 is 25%
Hope this helps.
Step-by-step explanation:
f(x)=-x²+8x
By replacing x with -7, we get
f(-7)=-(-7)²+8×(-7)
=-49-56
=-105
Answer:
5.5
Step-by-step explanation:
The theorem used to solve this is axa+bxb=cxc. First you would do 4.9x4.9=24.01. Next you would do 2.4x2.4=5.76. Next you would add 24.01+5.76=29.77. Lastly you would square it and round if needed.
Answer:
B
Step-by-step explanation:
Our system of equations is:
3x + y = 23
8x + 2y = 23
If we want to use substitution, that means that we essentially want to manipulate one of the two equations so that one variable (like y) is written in terms of the other (like x), and then substitute that expression into the second equation so that we have one variable and one equation and we can easily solve from there.
So the first thing to be done is to write one of the variables in terms of the other. It would be easiest to do it with the first equation and write y in terms of x - in other words, "solve the first equation for y".
The answer is B.
