Answer:
12.5
Step-by-step explanation:
We can use ratios to solve
4 4+6
---- = ----------
5 AC
4 10
---- = ----------
5 AC
Using cross products
4 * AC = 5*10
4AC = 50
Divide by 4
AC = 50/4
AC =12.5
Answer:
Of the given geometric sequence, the first term a is 6 and its common ratio r is 2.
Step-by-step explanation:
Recall that the direct formula of a geometric sequence is given by:

Where <em>T</em>ₙ<em> </em>is the <em>n</em>th term, <em>a</em> is the initial term, and <em>r</em> is the common ratio.
We are given that the fifth term <em>T</em>₅ = 96 and the eighth term <em>T</em>₈ = 768. In other words:

Substitute and simplify:

We can rewrite the second equation as:

Substitute:

Hence:
![\displaystyle r = \sqrt[3]{\frac{768}{96}} = \sqrt[3]{8} = 2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B768%7D%7B96%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B8%7D%20%3D%202)
So, the common ratio <em>r</em> is two.
Using the first equation, we can solve for the initial term:

In conclusion, of the given geometric sequence, the first term <em>a</em> is 6 and its common ratio <em>r</em> is 2.
I would think either 10 or 200 would be a good choice for a random sample to take place.
Answer: what’s the link about ?
Answer:
y = 2
Step-by-step explanation:
-7x - 5y = -60
plug in 10 where x is
-7(10) - 5y = -60
multiply -7 and 10
-70 - 5y = -60
add 70 to both sides
-5y = 10
divide both sides by -5
y = -2
Hope this helps, if not let me know.