Respuesta :

kudzordzifrancis
Answer:

The correct answer is D.

Step-by-step explanation:

The given expression for the substance in shipment 2 is

[tex]f(t)=50(\frac{1}{2})^{\frac{t-2}{5}}[/tex]

[tex]f(t)=50(\frac{1}{2})^{(\frac{t}{5}-\frac{2}{5})}[/tex]

We use the law of exponents to determine an equivalent expression.

Recall that,

[tex]a^{m-n}=\frac{a^m} {a^n}[/tex]

We apply this property to obtain,

[tex]f(t)=\frac{50(\frac{1}{2})^{\frac{t}{5}}}{(\frac{1}{2})^{\frac{2}{5}}}[/tex]

The correct answer is D
jcherry99

Answer:

Step-by-step explanation:

The other responder works better with Latex than I do. I would have been too late anyway.

f(t) = 50*(1/2)^(t - 2)/5

f(t) = 50*(1/2)^(t/5) * (1/2)^(-2/5)

f(t) = 50* (1/2)^t/5   /    (1/2)^(2/5)

f(t) = 50* [tex]\dfrac{\sqrt[5]{(\frac{1}{2})^t}}{(\dfrac{1}{2})^\frac{2}{5} }[/tex]

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