Answer: 0.000008
Step-by-step explanation:
So it says 10 to the -6 power...
10*-10*-10*-10*-10*-10*-10
0.000001
Then you multiply that by 8
0.000008
Hope this helps!
The translation, <span> (x, y) → (x + 3, y – 2), means that the point on the X-axis would move 3, and because it's positive, it would move to the right 3.
Y</span>– 2 means the point on the Y-axis moves 2, and because it is negative 2 it moves down 2
Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:

And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

Find the common difference by subtracting the first term from the second:

Distribute:

Combine like terms. Hence:

The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

To find the 13th term, let <em>n</em> = 13. Hence:

Simplify:

The 13th term is 81<em>x</em> + 59.
Answer:
A
Step-by-step explanation:
according to tangent property
we get
Given that
Thus our equation is

substitute the given values

simplify multiplication:

simplify addition:

cancel 20 from both sides:

divide both sides by 2:

AN=CN
hence,CN=7
therefore our answer is A
Answer:
The test statistic for this test is 3.82.
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation of the population and n is the size of the sample.
In this question:

So
The test statistic for this test is 3.82.