Answer:
Step-by-step explanation:
given that a bacteria population starts with 80 bacteria and doubles every four hours,
The function representing the number of bacteria after t hours
= ![n=f(t) = 80*2^{\frac{t}{4} }](https://tex.z-dn.net/?f=n%3Df%28t%29%20%3D%2080%2A2%5E%7B%5Cfrac%7Bt%7D%7B4%7D%20%7D)
We are to find the inverse of the function
i.e. we must make t = g(n) where g is a function of n.
Take log on both sides.
![ln n =ln80+\frac{t}{4} ln 2\\\frac{t}{4} =\frac{ln\frac{n}{80} }{ln 2} \\t = 4\frac{ln\frac{n}{80} }{ln 2}](https://tex.z-dn.net/?f=ln%20n%20%3Dln80%2B%5Cfrac%7Bt%7D%7B4%7D%20ln%202%5C%5C%5Cfrac%7Bt%7D%7B4%7D%20%3D%5Cfrac%7Bln%5Cfrac%7Bn%7D%7B80%7D%20%7D%7Bln%202%7D%20%5C%5Ct%20%3D%204%5Cfrac%7Bln%5Cfrac%7Bn%7D%7B80%7D%20%7D%7Bln%202%7D)
this is the inverse function.
5∛(10)∛(x)+4∛(3)<span>∛(x)
But in the comments you wrote the choices and none of them match with the answer i got. so i would say its B</span>
-47 = x + 15
Rearrange it to isolate x:
-47 - 15 = x
-62 = x
Base elevation is 1250 ft
rate is 30 per minute 30m
so, h = 1250 - 30m
as an inclusion, 30 ft per minute is also like 0.5 per second like 1250 - 0.5s
1250/30 means it would be about 42 minutes once it touches the ground.
Using Pythagorean theorem, we can justify our answer.
if c^2 = a^2 + b^2 then triangle is right one,
if c^2 > a^2 + b^2 then triangle is obtuse and
if c^2 < a^2 + b^2 then triangle is acute triangle.
Here a=8, b=11 and c=16
Put these values in the equation
16^2 = 8 ^2 + 11^2
256 = 64 +121
256> 185
So here c^2 > a^2 + b^2 Which means triangle is obtuse triangle.
Answer: Obtuse Triangle