Answer:
3/2 or 1 1/2
Step-by-step explanation:
Option B:
![I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}](https://tex.z-dn.net/?f=I%3D1.0%5Ctimes%5C%2010%5E%7B0%7D%20%5C%20%5Ctext%20%7Bwatts%7D%2F%20%5Ctext%20m%5E2%7D)
Solution:
Given sound level = 120 decibel
To find the intensity of a fire alarm:
![$\beta=10\log\left(\frac{I}{I_0} \right)](https://tex.z-dn.net/?f=%24%5Cbeta%3D10%5Clog%5Cleft%28%5Cfrac%7BI%7D%7BI_0%7D%20%5Cright%29)
where ![I_0=1\times10^{-12}\ \text {watts}/ \text m^2}](https://tex.z-dn.net/?f=I_0%3D1%5Ctimes10%5E%7B-12%7D%5C%20%5Ctext%20%7Bwatts%7D%2F%20%5Ctext%20m%5E2%7D)
Step 1: First divide the decibel level by 10.
120 ÷ 10 = 12
Step 2: Use that value in the exponent of the ratio with base 10.
![10^{12}](https://tex.z-dn.net/?f=10%5E%7B12%7D)
Step 3: Use that power of twelve to find the intensity in Watts per square meter.
![$10^{12}=\left(\frac{I}{I_0} \right)](https://tex.z-dn.net/?f=%2410%5E%7B12%7D%3D%5Cleft%28%5Cfrac%7BI%7D%7BI_0%7D%20%5Cright%29)
![$10^{12}=\left(\frac{I}{1\times10^{-12}\ \text {watts}/ \text m^2} \right)](https://tex.z-dn.net/?f=%2410%5E%7B12%7D%3D%5Cleft%28%5Cfrac%7BI%7D%7B1%5Ctimes10%5E%7B-12%7D%5C%20%5Ctext%20%7Bwatts%7D%2F%20%5Ctext%20m%5E2%7D%20%5Cright%29)
Now, do the cross multiplication,
![I=10^{12}\times1\times\ 10^{-12} \ \text {watts}/ \text m^2}](https://tex.z-dn.net/?f=I%3D10%5E%7B12%7D%5Ctimes1%5Ctimes%5C%2010%5E%7B-12%7D%20%5C%20%5Ctext%20%7Bwatts%7D%2F%20%5Ctext%20m%5E2%7D)
![I=1\times\ 10^{12-12} \ \text {watts}/ \text m^2}](https://tex.z-dn.net/?f=I%3D1%5Ctimes%5C%2010%5E%7B12-12%7D%20%5C%20%5Ctext%20%7Bwatts%7D%2F%20%5Ctext%20m%5E2%7D)
![I=1\times\ 10^{0} \ \text {watts}/ \text m^2}](https://tex.z-dn.net/?f=I%3D1%5Ctimes%5C%2010%5E%7B0%7D%20%5C%20%5Ctext%20%7Bwatts%7D%2F%20%5Ctext%20m%5E2%7D)
![I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}](https://tex.z-dn.net/?f=I%3D1.0%5Ctimes%5C%2010%5E%7B0%7D%20%5C%20%5Ctext%20%7Bwatts%7D%2F%20%5Ctext%20m%5E2%7D)
Option B is the correct answer.
Hence
.
Im assuming it has the same amount of air pressure so it wold take roughly double the time. So I would say 44 minutes.
Answer:
The answer is 1.35 answer (1). You can graph both equations to give you the answer.
Step-by-step explanation:
Graph the equations and see where they intersect.