______________________________
Sixteen
When you add eight plus eight
Isn't that great?
When you divide two fifty six by sixteen
Darn, didn't that make your stomach turn green
I couldn't think of a better way to show you sixteen
Rather seems unseen
A better way to say Sixteen
Answer:
m(t) = m₀ e⁻⁰•⁰¹⁵ᵗ
Half-Life = 46.21 years.
Step-by-step explanation:
Radioactive reactions always follow a first order reaction dynamic
Let the initial mass of radioactive substance be m₀ and the mass at any time be m
(dm/dt) = -Km (Minus sign because it's a rate of reduction)
The question provides K = 0.015 from the given differential equation
(dm/dt) = -0.015m
(dm/m) = -0.015dt
∫ (dm/m) = -0.015 ∫ dt
Solving the two sides as definite integrals by integrating the left hand side from m₀ to m and the Right hand side from 0 to t.
We obtain
In (m/m₀) = -0.015t
(m/m₀) = (e^(-0.015t))
m = m₀ e^(-0.015t)) = m₀ e⁻⁰•⁰¹⁵ᵗ
m(t) = m₀ e⁻⁰•⁰¹⁵ᵗ
At half life, m(t) = (m₀/2), t = T(1/2)
(m₀/2) = = m₀ e⁻⁰•⁰¹⁵ᵗ
e⁻⁰•⁰¹⁵ᵗ = (1/2)
In e⁻⁰•⁰¹⁵ᵗ = In (1/2)
-0.015t = - In 2
t = (In 2)/0.015
t = (0.693/0.015)
t = 46.21 years
Half life = T(1/2) = t = 46.21 years.
Hope this Helps!!!
9514 1404 393
Answer:
13. rational
Step-by-step explanation:
"Rational" means the value can be expressed as the ratio of two integers. In the ratio 2/3, both 2 and 3 are integers, so the expression is rational.
Mahmoud will have to work 21.52 hours to buy the game.
<h2><u>
Working hours</u></h2>
Since Mahmoud is a school student who just started working during the weekend, and he earns $ 14 per hour and he would like to buy a game that costs $ 80 which will have a 13% tax applied to it upon purchase, and Mahmoud would like to buy the game but only if he is able to save 30% of the money he will make, to determine how many hours would Mahmoud have to work the following calculation must be performed:
- 14X x 0.3 = 80 x 1.13
- 14X x 0.3 = 90.4
- 14X = 90.4 / 0.3
- X = 301.33 / 14
- X = 21.52
Therefore, Mahmoud will have to work 21.52 hours to buy the game.
Learn more about maths in brainly.com/question/17046232