Answer:
Step-by-step explanation:
6x(x+3)(x-2)
6x(x^2+3x-2x-6)
6x(x^2+x-6)
6x^3+6x^2-36x
------------------------
3(x-2/x+9)
3x-6/x+27
3x^2/x-6/x+27
(3x^2-6)/x+27
(3x^2-6)/x+27x/x
(3x^2-6+27x)/x
-----------------------------
0*2x=0
------------
x-3=x-3
-----------
2x=2x
-------------
x-9=x-9
-------------
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:
true
Step-by-step explanation:
Ypu would subtract Y from the other points Y
Then you would subtract X from the ither points X.
Then you would put the Y value over the X
Then simiplify
Answer:
Hi there! The correct option is the third one, aka $176050.
Step-by-step explanation:
median is the value in middle
low from high:
168800
172200
174500
177600
183700
191400
174500 and 177600 is the middle.
174500 + 177600 = 352100
352100/2 = 176050
