Answer:
Every 1.71 seconds, the bacteria loses 
Step-by-step explanation:
Given

Required [Missing from the question]
Every __ seconds, the bacteria loses 
First, we model the function from t/3 to t.

Apply law of indices

Evaluate each exponent
--- This gives the number of bacteria at time t
At time 0, we have:



Let r be the time 1/2 disappears.
When 1/2 disappears, we have:



So, we have:

Substitute r for t

Substitute 

Divide both sides by 8500


Take log of both sides

Apply law of logarithm

Make r the subject



<em>Hence, it reduces by 1/2 after every 1.71 seconds</em>
Answer:
3 complex solutions/roots
Step-by-step explanation:
You find the complex solutions by combining the expressions and isolating the variable x. The roots are known as the x values when the graph intersects the x-axis; Therefore, replace <em>y </em>with 0 then solve for x.
x = -0.55138752
x = 0.42681725
x = 2.12457026
The answer is 5
Explanation:
We need to use the Pythagorean,
a^2 + b^2 = c^2
Where c is the hypotenuse
We can fill in spots now 12^2 + b^2 = 13^2
And then we solve 144 + b^2 = 169
Next we get b^2 alone
169-144=25
So we get b^2=25
For the final step you have to find the square root of 25 to get b alone which is 5
i'm sorry but i don't know i wish you alot of luck on what you are working on