Answer:
a) k = 0.00012491389
b) The Shroud of Turin was 755 years old at the time of this data.
Step-by-step explanation:
(a) Find the value of the constant k in the differential equation C' = -kC.
First we find the differential equation, by separation of variables. So
So
In which K is the constant of integration, representing the initial amount of substance. So
Half-life of 5549 years.
This means that . We use this to find k. So
So
(b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained 91% of the amount of carbon-14 contained in freshly made cloth of the same material. How old was the Shroud of Turin at the time of this data?
This is t for which
So
The Shroud of Turin was 755 years old at the time of this data.
Answer:
C) 45,000 + 25,00x = 54,000 + 15,00x
Step-by-step explanation:
Set up equations for Jerry and Victoria separately.
Jerry: salary + increase × years
45000 + 2500x
Victoria: salary + increase × years
54000 + 1500x
Since we want to know how many years it will take for both salaries to be equal, we will equate them.
45000 + 2500x = 54000 + 1500x
A,10 cm if you like this answer explained to you let me know
Answer:
6
Step-by-step explanation:
42 bracelets per 7 days=
42/7= 6 bracelets per day
The discriminant is 164 and there are two real solutions.
What is Quadratic equation?
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax^2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
We can find the discriminant as shown below:
x^2+14x+8=0
a=1, b=14, c=8
Discriminant=b^2-4ac
=(14)^2-4*1*8
=196-32
=164>0
As the discriminant is positive and greater than zero. So, there are two real and distinct solution.
Hence, discriminant is 164 and two real solution.
Learn more about Quadratic equation here:
brainly.com/question/15884086
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