The number of bacteria in a culture grew from 275 to 1135 in three hours. find the amount of time needed for the number of bacteria to grow to 5000.

6.1 hours

Step-by-step explanation:

The starting number 275 is multiplied by the factor 1135/275 in 3 hours. This gives rise to the exponential model ...

... n(t) = 275·(1135/275)^(t/3)

We want to find t when n(t) = 5000. Substituting this into the equation and solving, we have ...

... 5000 = 275·(1135/275)^(t/3)

... 5000/275 = (1135/275)^(t/3) . . . . divide by 275

... log(5000/275) = (t/3)·log(1135/275) . . . . take the log

... t = 3·log(5000/275)/log(1135/275) . . . . multiply by the inverse of the x-coefficient

... t ≈ 6.13795 . . . hours

Rounded to reasonable precision, the time is approximately 6.1 hours.

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v