Answer:
is there any options for the answers
Step-by-step explanation:
Answer:
a is 5 because there is no other one digit numbe that is a common multiple of 5
Step-by-step explanation:
Answer:
It's 3/40
Step-by-step explanation:
Answer:
There will be 200 000 bacteria after 8 hours
Step-by-step explanation:
The crop quadruples every hour.
x represents the number of hours that pass after preparing the crop
y represents the number of bacteria after x hours.
The equation for y in function of x 3 hours after observing the crop is:
![y = 192(4^{x - 3})](https://tex.z-dn.net/?f=y%20%3D%20192%284%5E%7Bx%20-%203%7D%29)
We want to know after how long there will be 200 000 bacteria.
Then we make y = 200 000 and clear x.
![200\ 000 = 192(4^{x - 3})\\\\log(200\ 000) = log(192(4^{x-3}))\\\\log(200\ 000) = log(192) + log(4 ^{x-3})\\\\log(200\ 000) - log(192) = (x-3)log(4)\\\\\frac{log(200\ 000) - log(192)}{log(4)} = (x-3)\\\\x = 3 + \frac{log(200\ 000) - log(192)}{log(4)}\\\\x = 8\ hours](https://tex.z-dn.net/?f=200%5C%20000%20%3D%20192%284%5E%7Bx%20-%203%7D%29%5C%5C%5C%5Clog%28200%5C%20000%29%20%3D%20log%28192%284%5E%7Bx-3%7D%29%29%5C%5C%5C%5Clog%28200%5C%20000%29%20%3D%20log%28192%29%20%2B%20log%284%20%5E%7Bx-3%7D%29%5C%5C%5C%5Clog%28200%5C%20000%29%20-%20log%28192%29%20%3D%20%28x-3%29log%284%29%5C%5C%5C%5C%5Cfrac%7Blog%28200%5C%20000%29%20-%20log%28192%29%7D%7Blog%284%29%7D%20%3D%20%28x-3%29%5C%5C%5C%5Cx%20%3D%203%20%2B%20%5Cfrac%7Blog%28200%5C%20000%29%20-%20log%28192%29%7D%7Blog%284%29%7D%5C%5C%5C%5Cx%20%3D%208%5C%20hours)