A 25 gram sample of a substance that's used for drug research has a k-value of 0.1205. Find the substance's half life in days, round to the nearest tenth.

Complete Question

Situation: A 25 gram sample of a substance used for drug research has a k-value of 0.1205.

Find the substance's half-life in days, round to the nearest tenth.

5.8 days

Step-by-step explanation:

The decay model for drugs and radioactive substances is given as

The half-life of any substance is the time it takes for the substance to decay to half its initial amount. That is the period it takes for:

If we substitute this into the model, we obtain:

We can solve for t.

Taking the natural logarithm of both sides

i think it is 18

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.