Given:
The given function is:

Where Y represents the number of bacteria present at time t minutes.
To find:
The time taken by bacteria population to reach 100 bacteria.
Solution:
We have,

Putting
, we get



Divide both sides by 25.

Taking ln on both sides, we get

![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)
Divide both sides by 3.

Therefore, the required time is
minutes.
Answer:
-3 is a solution
Step-by-step explanation:
4x+2 < -6
subtract 2 from each side
4x < -8
divide by 2
x < -2
-3 is a solution
Answer:
It tells you that whatever f equals if you multiply it by three it will equal 16.
Step-by-step explanation:
16 divided by 3 = 5.333333...
f = 5.33333...
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Answer:
Step-by-step explanation:
When the equation of the line is in the form ...
y = mx + b
the coefficient 'm' is the slope of the line, and the value 'b' is the y-intercept, the point on the y-axis where the line crosses.
We say the line is "steeper" when the magnitude of the slope is greater. Line B, with its slope of 7 will be steeper than line A, with its slope of 3.
the new slope is steeper
__
The y-intercept of line A is -3. The y-intercept of line B is +1, so it crosses the y-axis above the point where line A crosses. One could say that line B is shifted up, when referring to the y-intercept.