Answer:
It equals 420.
Step-by-step explanation:
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!!!
Answer:
pi*2^2*2sqrt3/3
if pi=3
8sqrt3
Step-by-step explanation:
Lets change yards into inches: 1 1/3 x36=48. Now since he used 10 inches in 4 sections multiply 10 by 4: 10x4=40. Now add 40 inches and 48 inches: 40+48=88. Divide by 36 to find yards: 88/36=2 yards and 16 inches :)
Answer:
i dont know am not sure but here Una señora quiere comprar un coche que cuesta 21080€. Tiene que pagar 6500€ de entrada y después el resto en tres años ¿Cuantos euros tendrá que pagar cada mes durante esos tres años? , .
Step-by-step explanation:
if not right some sorry