contestada

A scientist has 50 grams of a radioactive element. The amount of radioactive element remaining after t days can be
determined using the equation
f(0) - 50
(3)
After two days the scientist receives a second shipment of 50 grams of the
same element. The equation used to represent the amount of shipment 2 remaining after t days is R8) - 50
50l
. Which
of the following is an equivalent form of the expression for the amount remaining in shipment 2?

Respuesta :

MrRoyal

The equivalent expression for the amount remaining is an expression that has equal value

The equivalent form of the expression for the amount remaining in shipment 2 is [tex]f(t)=50(\frac12^\frac{1}{5})^{5t- 1}[/tex]

How to determine the equivalent expression

The initial equation of the function is:

[tex]f(t)=50(\frac12)^{\frac t{10}}[/tex]

The function after the scientist receives the second shipment after two days is:

[tex]f(t)=50(\frac12)^{t - \frac 2{10}}[/tex]

Simplify

[tex]f(t)=50(\frac12)^{t - \frac 1{5}}[/tex]

Take the LCM of the exponent

[tex]f(t)=50(\frac12)^{\frac{5t- 1}{5}}[/tex]

Express the exponent as a product expression

[tex]f(t)=50(\frac12)^{\frac{1}{5} * [5t- 1]}[/tex]

Rewrite as:

[tex]f(t)=50(\frac12^\frac{1}{5})^{5t- 1}[/tex]

Hence, the equivalent form of the expression for the amount remaining in shipment 2 is [tex]f(t)=50(\frac12^\frac{1}{5})^{5t- 1}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

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