Answer:
1.908
Step-by-step explanation:
Assuming you are going at a base of 10,
㏒81 = 1.908, just use a calculator
Answer:
x < -8
Step-by-step explanation:
Find the solution, solve the inequality -2x+7< 23.
-2x < 16
x < -8
See attached picture.
Answer:
d. -38
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is as follows:
![a_{n+1} = a_{n} + d](https://tex.z-dn.net/?f=a_%7Bn%2B1%7D%20%3D%20a_%7Bn%7D%20%2B%20d)
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
![a_{n} = a_{1} + (n-1)*d](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20%28n-1%29%2Ad)
In this question:
![a_{1} = 10, d = -3](https://tex.z-dn.net/?f=a_%7B1%7D%20%3D%2010%2C%20d%20%3D%20-3)
17th term:
![a_{17} = a_{1} + (17-1)*d = 10 + 16*(-3) = -38](https://tex.z-dn.net/?f=a_%7B17%7D%20%3D%20a_%7B1%7D%20%2B%20%2817-1%29%2Ad%20%3D%2010%20%2B%2016%2A%28-3%29%20%3D%20-38)
So the correct answer is:
d. -38