<span>Formula for exponential decay is:
N = No * e^-kt
N = 1/2(45) = 22.5
No = 45
k = 0.1109
The solution to your problem is as follows:
Let's try to solve the half-life if it is 45 grams, after which, you will now have an idea on how to solve the problem.
22.5 = 45 * e^(-0.1109t)
1/2 = e^(-0.1109t)
ln(1/2) = -0.1109t
t = (ln(1/2))/(-0.1109) = 6.25 days
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Answer:
nty
Step-by-step explanation:
Answer:
y = 50
Step-by-step explanation:
Firstly, let's make an equation. We know that when y is 15, x is 3. Or, in other words, y is 5 times what x is. Therefore we can use the equation, y = 5x.
Now, just plug x into the equation.
y = 5(10)
y = 50
Answer:
6:9
Step-by-step explanation:
the answer is 6:9 because 4:6' equivalent is 2:3, which is the same as 6:9
Answer: graph E.
A geometric sequence can be written as:
where:
a₁ = first term = 4
r = ratio = 0.5
Substituting the numbers, we have:
or else
This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).
In order to choose between graph B and E, let's evaluate the function in two different points:
Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.
