\[ P(t) = P_0 e^{kt}, \]

February 22, 2026

$P(t) = P_0 e^{kt},$

Related Articles

\[\boxed{\frac{v_0^2 \sin(2\theta)}{2g}}.\]
A deep-sea extremophile genomics researcher is studying the growth dynamics of microbial communities near hydrothermal vents. The population of a certain microbial species is modeled by the equation \( P(t) = P_0 e^{kt} \), where \( k \) is a growth constant. If the population triples in 5 hours, what is the value of \( k \)?
We are given the population model
and that the population triples in 5 hours, so
\[ P(5) = 3P_0. \]
Substitute into the equation:

Trending Articles