Answer:
The correct answer is:
C.
; all integers where n ≥ 1.
Step-by-step explanation:
In general, this is the standard explicit equation of an arithmetic sequence whose first term is
and common difference (It is the difference between the terms) is
.
![a_n=a_1+d(n-1)](https://tex.z-dn.net/?f=a_n%3Da_1%2Bd%28n-1%29)
If our arithmetic sequence has the first term 8 and second 5, thus the difference is -3.
The standard explicit equation is
.
The domain in arithmetic sequence is always all integers where
. There's no such thing as the negative fifth term or the 0.4th term of a sequence.
<u>Given</u>:
Given that the radius of the sphere is 9 cm
We need to determine the volume of the sphere.
<u>Volume of the sphere:</u>
Let us determine the volume of the sphere.
The volume of the sphere can be determined using the formula,
![V=\frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
where r is the radius of the sphere.
Substituting r = 9 in the above formula, we get;
![V=\frac{4}{3} \pi (9)^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%289%29%5E3)
![V=\frac{4}{3} \pi (729)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%28729%29)
![V=\frac{2916}{3} \pi](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B2916%7D%7B3%7D%20%5Cpi)
![V=972 \pi](https://tex.z-dn.net/?f=V%3D972%20%5Cpi)
Thus, the volume of the sphere is 972π cm³
Hence, Option B is the correct answer.
Answer:
x = 16
Step-by-step explanation:
the labeled angles are all exterior
the sum of all exterior angles always equals 360 degrees
9x+1 + 5x+12 + 10x-37 = 360
24x - 24 = 360
24x = 384
x = 16
Answer:
is there an image or something to look at? we need one to give the answer
Step-by-step explanation:
Answer:
Rise/Run
Step-by-step explanation: