Q: What exponential function has a growth factor of one half?

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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.)

welding

Yes.

The X Factor usually runs for about 3 - 3 and a half months. September through to Decemeber. Bagshad :)

The average male growth spurt lasts for two years, and the average female growth spurt for two to two and a half years. These are only averages, and individuals may experience different lengths of maximum growth.

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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.

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

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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.

caca

0.55

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.

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.)

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

The force increases by a factor of 4. If we're talking about gravity, the gravitational force is a function of the masses and the square of the distance between them. As distance decreased by a factor of 2 (since it was cut in half), then the force increases by a factor of 2 squared, and that's 4. Gravitational force increases by a factor of 4 when distance between two gravimetrically attracted objects is decreased by a factor of 2 (cut in half).

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

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.