Answer:
Convert into same base
Step-by-step explanation:
Convert both sides into same bases and equate the powers to solve for the variable.
Example:
8^x = 32
You can either use logs to bring the power down or convert both sides into the same base
8 = 2³
8^x = (2³)^x = 2^(3x)
32 = 2⁵
2^(3x) = 2⁵
3x = 5
x = 5/3
x = 1⅔
This is an arithmetic sequence (graph is a line), so function:
a(n) = First term + (n-1) * Common Difference
Here First term = 42 and Common difference = 34 - 36 = -2 so

Answer B.
Answer:
probability of getting exactly 500 heads= 1
Step-by-step explanation:
If a coin is tossed, the probability of obtaining a head = 0.5
If a coin is tossed, the probability of obtaining a tail= 1- probability of obtaining a head
If a coin is tossed, the probability of obtaining a tail=1-0.5
If a coin is tossed, the probability of obtaining a tail=0.5
So if 1000 coin are tossed, the probability of getting exay 500 heads which is already the half of 1000 is 1
Answer:
In x-axis:
, In y-axis: 
Step-by-step explanation:
The rule of the reflection of a point across the x-axis is as shown:
The reflection of the point
across the x-axis is given by
.
The point given to us is
, when reflected across the x-axis we get:

Now, when a point
is reflected across the y-axis we get the point
.
So when the point
is reflected across the y-axis we get:
.