RolandG640568 RolandG640568
  • 26-10-2022
  • Mathematics
contestada

If 14g of a radioactive substance are present initially and 9yr later only 7g remain, how much of the substance will be present after 13 yr?

Respuesta :

EliQ233054 EliQ233054
  • 26-10-2022

To begin with, let us first write out the formula for the exponential form

[tex]y=b^{rt}[/tex]

Given the initial parametrs

[tex]y=14b^t^{}[/tex]

Thus

[tex]145^9=7[/tex]

[tex]b^{-9}=\frac{1}{2}[/tex]

Using exponential laws

[tex]b=\frac{1}{(\frac{1}{2})^{\frac{1}{-\frac{1}{9}}}}[/tex]

W will soon see that

[tex]b=2^{\frac{1}{9}}[/tex]

Hence after 13 years, the substance left will be;

[tex]\begin{gathered} 14(2^{\frac{1}{9}})^{-13}=5.144070729 \\ \approx5.144g \end{gathered}[/tex]

Answer Link

Otras preguntas

The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
Why is the energy transfer in a food web inefficient?
Write the equation for 5x + 2y = 3 in slope-intercept form.
What is the equation of 7x=5+5x
6. Under the English Westminster model, the highest court of appeals is A. a panel appointed by the prime minister. B. the ruling King. C. the House of Commo
What is an animal that can seriously injure a lion without fighting?
HELP!?! PLEASE!! Which pair of fractions shows 7/9 and 5/12 correctly converted with their least common denominator?A.28/36 and 15/36B.34/36 and 29/36C. 56/72
Differentiate the function Y=(8x^4-x+1)(-x^5+5)
62 is 90% of what number?
Write the equation for 5x + 2y = 3 in slope-intercept form.