zoeygilmore30 zoeygilmore30
  • 03-02-2022
  • Mathematics
contestada

The half-life of plutonium-241 is 14.4 years. How much of the original 3.6 grams of this
radioactive element will remain after 45 years?

Respuesta :

jdoe0001 jdoe0001
  • 03-02-2022

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3.6\\ t=\textit{elapsed time}\dotfill &45\\ h=\textit{half-life}\dotfill &14.4 \end{cases} \\\\\\ A=3.6\left( \frac{1}{2} \right)^{\frac{45}{14.4}}\implies A=3.6\left( \frac{1}{2} \right)^{3.125}\implies A\approx 0.41265[/tex]

Answer Link
Cringe2Win Cringe2Win
  • 28-04-2022

Answer: 0.41

Step-by-step explanation:

Just got it right on an assignment

Answer Link

Otras preguntas

Has anyone ever read the book the other side of the island
Circle the digit in the tenths place 56.943
The volume of a cube is 64 cubic centimeters. What is the surface area of the cube?
Sociologists are concerned with the reactions of people to certain physical characteristics and how these reactions affect individuals in society. Please sel
What is the initial value of the equation shown? y = −2x − 5
Martha measures a side piece of wood. The length is 10 feet and the width is one-half of the length. What is the area, in square feet, of the piece of wood? A =
a brown eyed person marries another brown eyed person, but they have a blue eyed child.
Producers include these types of organisms.
If the diameter of a circle is 9 cm, then its circumference is 56.52 cm. TrueFalse
How did Lucretia Mott's early life influence her achievements later in life