Answer:
y = 1/2 x + 8
Step-by-step explanation:
We are given the y intercept and the slope, so we can write the equation using the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 1/2 x + 8
Answer:
Step-by-step explanation:
This is an exponential equation that is solved by taking the natural log of both sides. The equation is

If we are looking for x when f(x) = 64, then

Take the natural log of both sides:

The rules of logs allows us to bring the x down in front:

Divide both sides by ln(2) to get:

Do this on your calculator to get that x = 6.
You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.
Answer:
to my knowledge of this it is 28
Step-by-step explanation:
because just pay attention to the math in it she ended up with 14 in the end so add 14 and the 6 she added in the beginning and then you get 20 so then you add the 20 marbles and the 8 marbles she took out so you end up with 28 total marbles i hope this helps
Answer:
213 in base 4 = 124 in base 5
Step-by-step explanation:
First we convert base 4 to base 10
213 in base 4
2*42 + 1*41 + 3*40
32 + 4 + 3
39 in base 10
Now we convert base 10 to base 5
39/5
7/5 r = 4
1 r = 2
124 in base 5
Hence 213 in base 4 = 124 in base 5