Answer: The required fourth term of the geometric sequence is 
Step-by-step explanation: We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :

We know that
the n-th term of a geometric sequence with first term a1 and common ratio r given by

Therefore, the fourth term of the given geometric sequence will be
Thus, the required fourth term of the geometric sequence is 
Answer:
L = 25.959 inches
Step-by-step explanation:
Volume of first cube = 375 inch³
Volume of second cube = 648 inch³
Volume of third cube = 1029 inch³
We need to find the length of the stack of the cube shaped block.
We know that,
The volume of a cube = a³ (a is side of a cube)
![a_1=\sqrt[3]{375} \\\\=7.211\ \text{inches}](https://tex.z-dn.net/?f=a_1%3D%5Csqrt%5B3%5D%7B375%7D%20%5C%5C%5C%5C%3D7.211%5C%20%5Ctext%7Binches%7D)
![a_2=\sqrt[3]{648 } \\\\=8.653\ \text{inches}](https://tex.z-dn.net/?f=a_2%3D%5Csqrt%5B3%5D%7B648%20%7D%20%5C%5C%5C%5C%3D8.653%5C%20%5Ctext%7Binches%7D)
![a_3=\sqrt[3]{1029} \\\\=10.095\ \text{inches}](https://tex.z-dn.net/?f=a_3%3D%5Csqrt%5B3%5D%7B1029%7D%20%20%5C%5C%5C%5C%3D10.095%5C%20%5Ctext%7Binches%7D)
Hence, the total length of the stack is :
L = 7.211 + 8.653 + 10.095
= 25.959 inches
Hence, this is the required solution.
Answer:
y = 3x - 5
Step-by-step explanation:
I used my calculator so that it would be faster.
But if you want work you have to find the slope then plug in.
To find the slope use points (1, -2) and (2, 1) use this formula 
Plug the points in 
So your slope is 3
NOw Plug In (1, -2)
-2 = 3(1) + b (b represents the y- intercept)
-2 = 3 + b (subtract 3 on both sides)
-5 = b
The final equation is y = 3x - 5
Hope this helps ya!!
Answer:44
Step-by-step explanation:
That’s what I got
.04 repeating is a rational number.
A irrational number has a non-terminating (no end) and non-repeating decimals, meaning numbers after the decimals do not end and do not repeat.