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:
The answer is 7.
Step-by-step explanation:
4 divided by 7 is 0.571428 these just keep repeating over and over again so the closest dividable number of 6 (6 is how many digits there are before it repeats) is 1998 so the 2nd digit in .571428 is 7 hope this helps.
Answer:
No, because the ratios of the sides that form the vertex angles are the same, but the vertex angles may not be congruent.
Step-by-step explanation:
I just took the quick check
Answer:
28
Step-by-step explanation:
6+6+8+8. Opposite sides of a rectangle are congruent
Answer:
D
Step-by-step explanation:
the theoretical probability is a fancy term for an even amount of both, which would be 20 flips landing on H, and 20 landing on T. Since the question is asking what's the difference between the theoretical probability and the experimental results, you'd take 20(theoretical number of flips that land on H) and subtract 15 (experiment results for the amount of flips that land on H), and 20 - 15 = 5. Now that you know the difference is 5, you would divide 5 by 40 to find the answer. 5/40 = 1/8 when you simplify, making the answer D.