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a bacteria population is growing exponentially with a growth factor of 1/10 each hour by what growth factor does the population change every 15 minutes?

The bacteria population has an exponential growth with a factor of 16 per hour. The growth factor has to be determined for the population change each half hour.


How can you use logarithmic and exponential equations and properties to solve half-life and logistic growth scenarios?

For an exponential function: General equation of exponential decay is A(t)=A0e^-at The definition of a half-life is A(t)/A0=0.5, therefore: 0.5 = e^-at ln(0.5)=-at t= -ln(0.5)/a For exponential growth: A(t)=A0e^at Find out an expression to relate A(t) and A0 and you solve as above


Is an exponential decay function represent a quantity that has a constant halving time?

A quantity is said to be subject to exponential decay if it decreases at a rate proportional to its value. The time required for the decaying quantity to fall to one half of its initial value.Radioactive decay is a good example where the half life is constant over the entire decay time.In non-exponential decay, half life is not constant.


Factor in the rapid industral growth in America int last half of the 19th century?

caca


Tha half life of an atom is 50 years what is a possible exponential function for this decay?

A possible exponential decay function for this scenario would be P(t) = P0 * (0.5)^(t/50), where P(t) is the amount remaining after time t, P0 is the initial amount, and t is the time passed in years. This formula represents the decay of a substance with a half-life of 50 years.


What is a half to the power of five in exponential notation?

0.55


Can an exponential decay model have negative y values?

An exponential function can have negative y-values. However, a real-world exponential decay model will never have negative values. Think of it this way... If you divide a positive number by 2 (or take half of it) and then divide that next number by 2, you will never reach or go below 0. For Example: 20, 10, 5, 2.5, 1.25, 0.625, 0.3125, etc. (Each number is half of the number before it.)


How is the half-life of a radioactive isotope found?

The half life of actinium (for the natural isotope 227Ac) is 21,773 years.


The half-life of a certain radioactive material is 75 days An initial amount of the material has a mass of 381 kg Write an exponential function that models the decay of this material Find how much?

The generalized exponential half-life equation is ... AT = A0 2(-T/H) ... where A0 is the initial activity, AT is the final activity at time T, and H is the half-life in units of time T. Example using the specific question, for an elapsed time of 50 days, is ... A50 = (381) 2(-50/75) = 240


An exponential decay function represents a quantity that has a decreasing halving time.?

An exponential decay function describes a process where a quantity decreases at a rate proportional to its current value, leading to a consistent halving time. This means that after each fixed interval, the quantity reduces to half of its previous amount. For example, in radioactive decay, the halving time remains constant regardless of how much of the substance is left, illustrating the characteristic nature of exponential decay. Overall, it models many real-world phenomena where resources diminish over time.


In chemistry what is a half life?

The half-life of a quantity whose value decreases with time is the interval required for the quantity to decay to half of its initial value. The concept originated in describing how long it takes atoms to undergo radioactive decay but also applies in a wide variety of other situations.Half-lives are very often used to describe quantities undergoing exponential decay-for example radioactive decay-where the half-life is constant over the whole life of the decay, and is a characteristic unit (a natural unit of scale) for the exponential decay equation. However, a half-life can also be defined for non-exponential decay processes, although in these cases the half-life varies throughout the decay process. The converse for exponential growth is the doubling time.


Does a star have a half life?

Not really, a half-life is applied to substances on a steady exponential decay. Stars have more dramatic life histories so the concept of a half-life is not really applicable.