Answer:
C. x=18 is the answer
Step-by-step explanation:
X2 = 36
x = 36÷2
x = 18
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:25.38
Step-by-step explanation:
Answer:
The hypotenuse has a length of 6
Step-by-step explanation:
Remark
The first step is to create the 2 equations needed to solve this problem.
Then substitute one into the other.
Equations
c^2 + a^2 + b^2 = 72
c^2 = a^2 + b^2
Solution
c^2 + a^2 + b^2 = 72 The sum of the sides each squared of a right triangle = 72
c^2 = a^2 + b^2 The pythagorean theorem says the hypotenuse of the right triangle = the sum of the squares of two smaller sides. You can substitute the hypotenuse squared into the top equation for a^2 + b^2
c^2 + c^2 = 72
2c^2 = 72
c^2 = 36
c = 6. minus 6 is meaningless
I think that the answer is one
