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

Plz help 20 points answers
The length of a rectangle is one unit less than three times its width. Identify the graph that represents the relationship between the area of the rectangle, y,
HELP. See attached for question and choices.
Help with this question, please!
10. Which of the following is a linear equation?a. 4x² +9y2 = 25b. 2+ 6 = 15C. 2x-3y=7d. 4x+6 = 30​
A(n) __________ moves at a slower pace; the playwright builds up the characters, comic relief, and subplots.episodic plot lineantecedent action expositionpoint
Find the median of the following set of data: 48, 65, 57, 54, 61, 57, 52, 61, 57 a.) 54 b.)57 c.)61 d.)65
To find the circumference of a circle multiply the diameter by?
answers for any questionscan a touchtone phone work without electricity ​
A 4-pint carton of fruit punch costs $1.80. What is the price per quart