Answer: 3 hours
Step-by-step explanation:
From the question, we are informed that WHUR Radio uses 1/5 of its of its 10 hours of daytime broadcast for commercial and 1/2 for music.
Hours used for commercial:
= 1/5 × 10
= 2 hours
Hours used for music:
= 1/2 × 10
= 5 hours
Hours left for news will be:
= 10 hours - 2 hours - 5 hours
= 3 hours
It’s kinda blurry, can u retake it
Answer:
Let R = radius of big circle
r=radius of small circle
A1=Area of small circle
A2=Area of big circle
R=9r
A1=50cm^2
A1=pi*r*2
A2=pi*R^2
A2=pi*(9r)^2
A2=81*pi*r^2
A2=81*A1
A2=4050cm^2
Hence the big circle has area of 4050cm^2
Step-by-step explanation:
First, we are going to find the common ratio of our geometric sequence using the formula:
![r= \frac{a_{n}}{a_{n-1}}](https://tex.z-dn.net/?f=r%3D%20%5Cfrac%7Ba_%7Bn%7D%7D%7Ba_%7Bn-1%7D%7D%20)
. For our sequence, we can infer that
![a_{n}=-20](https://tex.z-dn.net/?f=a_%7Bn%7D%3D-20)
and
![a_{n-1}=4](https://tex.z-dn.net/?f=a_%7Bn-1%7D%3D4)
. So lets replace those values in our formula:
![r= \frac{-20}{4}](https://tex.z-dn.net/?f=r%3D%20%5Cfrac%7B-20%7D%7B4%7D%20)
![r=-5](https://tex.z-dn.net/?f=r%3D-5)
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
![a_{n}=a_{1}*r^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7B1%7D%2Ar%5E%7Bn-1%7D)
. We know that
![a_{1}=4](https://tex.z-dn.net/?f=a_%7B1%7D%3D4)
; we also know for our previous calculation that
![r=-5](https://tex.z-dn.net/?f=r%3D-5)
. So lets replace those values in our formula:
![a_{n}=4*(-5)^{n-1}](https://tex.z-dn.net/?f=a_%7Bn%7D%3D4%2A%28-5%29%5E%7Bn-1%7D)
Finally, to find the 9th therm in our sequence, we just need to replace
![n](https://tex.z-dn.net/?f=n)
with 9 in our explicit formula:
![a_{9}=4*(-5)^{9-1}](https://tex.z-dn.net/?f=a_%7B9%7D%3D4%2A%28-5%29%5E%7B9-1%7D)
![a_{9}=4*(-5)^{8}](https://tex.z-dn.net/?f=a_%7B9%7D%3D4%2A%28-5%29%5E%7B8%7D)
![a_{9}=1562500](https://tex.z-dn.net/?f=a_%7B9%7D%3D1562500)
We can conclude that the 9th term in our geometric sequence is <span>
1,562,500</span>