The radioactive element americium-241 has a half-life of 432 years. how many years will it take a 10 gram mass of americium-241 to decay to 2.7 grams.

This problem can be solved using the Radioactive Half Life Formula:

  (1)

Where:

is the final amount of the material

is the initial amount of the material

is the time elapsed  (the quantity we are asked to find)

is the half life of americium-241

Knowing this, let's find from (1):

Applying natural logarithm in both sides:

Finally:

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: