Answer:
W÷9=z
Step-by-step explanation:
18÷9=2
45÷9=5
81÷9=9
Z is the quotient of W when divided by 9.
What is y+x?
Answer:
<span>= <span>x+<span>y</span></span></span>
Answer:
16.34 hours
Step-by-step explanation:
According to the given information we can see that the case is of exponential growth
Hence, we will use the formula
![A=P(2)^\frac{t}{24}](https://tex.z-dn.net/?f=A%3DP%282%29%5E%5Cfrac%7Bt%7D%7B24%7D)
Here A =800 is the amount that is needed to reach
P is the initial amount that is 500
We have to find the time it will take to reach 800 that is we need to find t
On substituting the values in the formula we get
![800=500(2)^\frac{t}{24}](https://tex.z-dn.net/?f=800%3D500%282%29%5E%5Cfrac%7Bt%7D%7B24%7D)
On simplification we get
![\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}](https://tex.z-dn.net/?f=%5CRightarrow%5Cfrac%7B8%7D%7B5%7D%3D%282%29%5E%5Cfrac%7Bt%7D%7B24%7D)
Taking log on both sides we get
![\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}](https://tex.z-dn.net/?f=%5CRightarrow%5Clog%5Cfrac%7B8%7D%7B5%7D%3D%5Clog%282%29%5E%5Cfrac%7Bt%7D%7B24%7D)
using ![\log\frac{m}{n}=\log m-\log n](https://tex.z-dn.net/?f=%5Clog%5Cfrac%7Bm%7D%7Bn%7D%3D%5Clog%20m-%5Clog%20n)
And ![\log a^m=m\log a](https://tex.z-dn.net/?f=%5Clog%20a%5Em%3Dm%5Clog%20a)
![\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2](https://tex.z-dn.net/?f=%5CRightarrow%5Clog%7B8%7D-%5Clog%7B5%7D%3D%5Cfrac%7Bt%7D%7B24%7D%5Clog2)
Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get
![\Rightarrow 0.903-0.698=\frac{t}{24}0.301](https://tex.z-dn.net/?f=%5CRightarrow%200.903-0.698%3D%5Cfrac%7Bt%7D%7B24%7D0.301)
![\Rightarrow 0.205=\frac{t}{24}0.301](https://tex.z-dn.net/?f=%5CRightarrow%200.205%3D%5Cfrac%7Bt%7D%7B24%7D0.301)
![\Rightarrow \frac{0.205}{0.301}\cdot 24=t](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B0.205%7D%7B0.301%7D%5Ccdot%2024%3Dt)
![\Rightarrow t=16.34](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D16.34)
13 m ...?.........;;;;;;;;;
I believe the answer is $4.06
let me know if i’m wrong though