If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left after 32 hours? is the radioactive decay modeled by a linear function or an exponential function?

There will be 22.5 grams left after 32 hours.

Step-by-step explanation:

A half-life is how long it takes for half of the amount to go away. In this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.

32hrs/8hrs = 4 half lives.

Now we can raise 1/2 to the power of how many half lives we have (2). Then we multiply that by the amount in the sample.

(1/2)^4 * 360

1/16 * 360

22.5 grams

And this is an exponential function.

yeah and the opposite of cheating is studying ( you should try it some time)

step-by-step explanation:

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this