For the half-life of a certain substance, the equation that would best represent the scenario is,
At = Ao(0.5^t/n)
where At is the amount at any time t, Ao is the original amount, and n is half-life. Substituting the known values,
At = (220 mg)(0.5^(396/72)
At = 4.86 mg
Thus, after 396 days, there will only be 4.86 mg of Terbium-160.
Hello!
Vertical asymptotes are determined by setting the denominator of a rational function to zero and then by solving for x.
Horizontal asymptotes are determined by:
1. If the degree of the numerator < degree of denominator, then the line, y = 0 is the horizontal asymptote.
2. If the degree of the numerator = degree of denominator, then y = leading coefficient of numerator / leading coefficient of denominator is the horizontal asymptote.
3. If degree of numerator > degree of denominator, then there is an oblique asymptote, but no horizontal asymptote.
To find the vertical asymptote:
2x² - 10 = 0
2(x² - 5) = 0
(x - √5)(x + √5) = 0
x = √5 and x = -√5
Graphing the equation, we realize that x = -√5 is not a vertical asymptote, so therefore, the only vertical asymptote is x = √5.
To find the horizontal asymptote:
If the degree of the numerator < degree of denominator, then the line, y = 0 is the horizontal asymptote.
Therefore, the horizontal asymptote of this function is y = 0.
Short answer: Vertical asymptote: x = √5 and horizontal asymptote: y = 0
Answer:
18 is it
Step-by-step explanation:
We have to isolate b using inverse operations.
5a(b - c) = d
Simplify using Distributive Property.
5ab - 5ac = d
Add 5ac to both sides.
5ab = d + 5ac
Divide both sides by 5a.
b = 5ac + d / 5a
To know this answer, we have to divide the amount each one earns between the number of hours they work. So: For Nina: 117.60 / 1414 = 0.083168317 For Ty: 148.50 / 1818 = 0.081683168 For Kim: 137.60 / 1616 = 0.085148515 Then Kim has the highest pay rate in dollars per hour with a total of 0.085148515 $ / h.