The common ratio between terms is 3, so the sequence has general
-th term
![a_n=3^{n-1}](https://tex.z-dn.net/?f=a_n%3D3%5E%7Bn-1%7D)
for
. The term exceeds 7000 when
![3^{n-1}>7000\implies n-1>\log_37000\implies n>1+\log_37000\approx9.06](https://tex.z-dn.net/?f=3%5E%7Bn-1%7D%3E7000%5Cimplies%20n-1%3E%5Clog_37000%5Cimplies%20n%3E1%2B%5Clog_37000%5Capprox9.06)
which means the first time
exceeds 7000 occurs when
. Indeed,
![a_{10}=3^{10-1}=19,683](https://tex.z-dn.net/?f=a_%7B10%7D%3D3%5E%7B10-1%7D%3D19%2C683)
while the previous term would have been
![a_9=3^{9-1}=6561](https://tex.z-dn.net/?f=a_9%3D3%5E%7B9-1%7D%3D6561)
1. Is correct
2. x^2 - 12
3. 2 / (a-1)
7.75+1.25x= 32.75
32.75-7.75=25
1.25x= 25
25 divided by 1.25
X= 20
Answer: see Steps 1 - 5 (attached)
<u>Step-by-step explanation:</u>
I completed #1 for you. Each image shows one of the steps.
<em>Follow the exact same steps to complete #2 - #5</em>
#6 asks for a double angle.
Add an extra item to step 3: Draw an arc from vertex through the line
--> then draw another arc from B' to the other side of your line (away from the dot) and label that intersection as B''. Use the measure of the vertex to B'' for the remaining steps.
<em>If you need step-by-step images, you will need to post #6 separately as I can only upload 5 images per question.</em>
Answer:
The correct option is A.
Step-by-step explanation:
As the psychologist states that there is no correlation found between teaching ratings and research productivity of the same faculty member, meaning that there is no significant relationship between the two. The paper's report states quite the opposite, that there is an inverse correlation. The statement that explains what the psychologist says correctly is A. <u>There is little connection between teaching rating and research productivity.</u>
I hope this answer helps.