Answer:
7
Step-by-step explanation:
formula for circumference of a circle is
d
7
=
d
d = 7
Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
<em>Determining the common difference</em>
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by

substituting a₁ = 9, d = 8 in the equation


Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
1. The x-intercepts are x = 0 and x = 6. You can find these by looking for where the line crosses the x-axis. You can see here that it does so at 0 and 6.
2. The maximum value for this function is looking for the f(x) value at the highest point. In this case, you will see that f(x) at the highest point is 120. This happens at x = 3. Once again, this can be found just by looking for the highest point on the graph.
3. Since that is the absolute highest point, it is also the point where is goes from increasing to decreasing. As a result, we know the increasing interval is x<120 and the decreasing interval is x > 120.
4. Finally, the average rate of change between 3 and 5 is -30. You can find this by determining the amount of change in f(x) and dividing it by the amount of change in x. The basic formula is below.



-30
Answer: E: The number of books a person finished reading last month
Step-by-step explanation:
First, a discrete variable is a variable that only can take some given values in a set, the discrete variables are usually not dense, and a continuous variable is a variable that can take any value in a range (where the accepted values are dense).
So, for example, the set of the natural numbers is discrete, and the set of the real numbers can represent a continuous variable.
Here the only option that is really discrete will be the number of books that a person finished reading last month because here only positive whole numbers are accepted (you can not finish a 0.454 of a book)
The other options are continuous because all are classical measures.
For example, the weight of a person can jump between:
75.6kg and 75.7kg.
So you could think that this is discrete because the values between 75.6kg and 75.7g are not shown with our measuring device, but those will be added in the error of the measure because the weights between 75.6kg and 75.7kg are actually possible, so they must be accepted.