Answer:
40.8 minutes
Step-by-step explanation:
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?
The formula to find how long it would take which is the time elapsed is given as:
t = t½ × In(Nt/No)/-In2
t = ?
t½ = 8 minutes
Nt = Amount after the time of decay = 14 grams
No = Original Amount of substances = 480 grams
t = 8 × In(14/480)/-In2
t = 40.796285388407 minutes
Approximately to the nearest tenth = 40.8 minutes
Therefore, it would take the element X, 40.8 minutes to decay to 14 grams
For this case we have the following function:

For each of the domains we will choose a value.
We have then:
For −5 ≤ x ≤ −1
Let's choose the value of x = -3
Evaluating the function we have:
Answer:
g(-3) = 1
For −1 < x ≤ 5:
Let's choose the value of x = 0
Evaluating the function we have:
Answer:
g(0) = 2
Answer:
x = 5 +- √17
Step-by-step explanation:
0 = -x^2 + 10x - 8
-(-x^2 + 10x - 8) = 0
Now do the quadratic formula with x^2 - 10x + 8 = 0
a = 1
b = -10
c = 8




See picture for math work and answer.
The 3rd one in this question