Answer:
Step-by-step explanation:
Answer:
y=6
Step-by-step explanation:
y=kx
3=9k
k=3/9
k=1/3
y=kx
y=1/3 × 18
y=6
Answer:
85.5 minutes
Step-by-step explanation:
The amount of an element that will remain after time t can be expressed as a function of initial amount N0, time t, and half life th as;
Nt = N0 × e^(-λt)
Where;
Decay constant λ = ln(2)/th, substituting into the equation;
Nt = N0 × e^(-ln(2)t/th)
We need to make t the subject of formula;
Nt/N0 = e^(-ln(2)t/th)
ln(Nt/N0) = -ln(2)t/th
t = ln(Nt/N0) ÷ -ln(2)/th
Given;
Initial amount N0 = 760g
Final amount Nt = 11 g
Half life th = 14 minutes
the nearest tenth of a minute, would it take the element to decay to 11 grams can be derived using the formula;
t = ln(Nt/N0) ÷ -ln(2)/th
Substituting the given values;
t = ln(11/760) ÷ -ln(2)/14
t = 85.5 minutes
Answer:
6
Step-by-step explanation:
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<span>The correct answer is: 21
Explanation:
Let's first assume few variables!
x = Ishann's age (in years)
y = Christopher's age (in years)
1. Ishann is 3 times as old as Christopher can be represented mathematically as:
x = 3y ---- (1)
2. Ishann is 14 years older than Christopher can be represented mathematically as:
x = y + 14 ---- (2)
Get the value of y from Equation (1) and plug it in Equation (2):
(2) => x = (x/3) + 14
3x = x + 42
2x = 42
x = 21
Hence Ishann is 21 years old!</span>
