The half-life of silicon-32 is 710 years. if 30 grams is present now, how much will be present in 300 years? round answer to three decimal places. using a(t)=a0e^(ln(0.5)/t)t

55.668 grams

General equation of exponential decay/growth:

N = Noe^(kt)

50 = 100e^(710k)

.5 = e^(710k)

ln(.5) = 710k

ln(.5)/710 = k

Therefore, our equation is now:

N = 100e^((ln(.5)/710)t)

Now, we substitute t with 600:

N = 100e^(ln(.5)/710)600

N = 100e^(-.585758)

N = 100(.556684)

N = 55.668 grams

d≈7.07in

step-by-step explanation:

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: