the answer is

in decimal form it would be.

Answer:
Step-by-step explanation:
-1/2
Answer:
The half life of the substance is
.
Step-by-step explanation:
The equation that models the amount of substance after time
is
.
We are told that that the initial amount
, and the k-value is
; therefore,

The half-life of the substance is the amount of time
it takes to decay to half its initial value; therefore,


Take the Natural Logarithm of both sides and get:
![ln[e^{-0.1481\tau } ]= ln[\dfrac{1}{2}]](https://tex.z-dn.net/?f=ln%5Be%5E%7B-0.1481%5Ctau%20%7D%20%5D%3D%20ln%5B%5Cdfrac%7B1%7D%7B2%7D%5D)
![-0.1481\tau = ln[\dfrac{1}{2} ]](https://tex.z-dn.net/?f=-0.1481%5Ctau%20%3D%20ln%5B%5Cdfrac%7B1%7D%7B2%7D%20%5D)
![\tau = \dfrac{ln[\dfrac{1}{2} ]}{-0.1481}](https://tex.z-dn.net/?f=%5Ctau%20%3D%20%20%5Cdfrac%7Bln%5B%5Cdfrac%7B1%7D%7B2%7D%20%5D%7D%7B-0.1481%7D)

Thus, we find that the half life of the substance is 4.7 days.
The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the number of individual songs and y represent the number of albums, hence:
x + 8y ≤ 50 (1)
x ≤ 30 (2)
y > 2 (3)
The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.
Find out more on equation at: brainly.com/question/2972832
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