Answer:
About 5043.58
Step-by-step explanation:
The standard form for an exponential decay after t time is:
![\displaystyle f(t)=a(r)^{t/d}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28t%29%3Da%28r%29%5E%7Bt%2Fd%7D)
Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.
The initial value is 9800. So a = 9800.
The quantity cuts in half. So, r = 1/2.
And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.
Therefore, our function is:
![\displaystyle f(t)=9800\Big(\frac{1}{2}\Big)^{t/144}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28t%29%3D9800%5CBig%28%5Cfrac%7B1%7D%7B2%7D%5CBig%29%5E%7Bt%2F144%7D)
Where t is the amount of time that has passed, in hours.
Then the quantity left after 138 hours will be:
![\displaystyle f(138)=9800\Big(\frac{1}{2}\Big)^{138/144}\approx 5043.58](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28138%29%3D9800%5CBig%28%5Cfrac%7B1%7D%7B2%7D%5CBig%29%5E%7B138%2F144%7D%5Capprox%205043.58)
Answer:
y = 3x - 4
Step-by-step explanation:
Slope-intercept is defined <em>y = mx + b</em>
Where m = slope (change in y-coordinate/ change in x-coordinate)
and b = y-intercept (where the graph crosses the y-axis)
For every 1 unit the line moves horizontally... it travels 3 units vertically. Therefore the slope (m) equals 3/1 or 3
The line crosses the y-axis at -4. Therefore... the y-intercept (b) is -4
I hope this helps!
Answer:
20
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
if the triangles are similar the ange B and E are the same, A and D are the same and C and F are the same.
B=77 and E=77
F=31 and C=31
A=72 and D=72
I have a tip, you can use a protractor because u can not measure of a screen