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Marysya12 [62]
3 years ago
12

Hello please help me

Mathematics
1 answer:
Naily [24]3 years ago
4 0

Answer:

c

Step-by-step explanation:

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An important tool in archeological research is radiocarbon dating, developed by the American chemist Willard F. Libby.3 This is
Radda [10]

Answer:

Q(t) = Q_o*e^(-0.000120968*t)

Step-by-step explanation:

Given:

- The ODE of the life of Carbon-14:

                                       Q' = -r*Q

- The initial conditions Q(0) = Q_o

- Carbon isotope reaches its half life in t = 5730 yrs

Find:

The expression for Q(t).

Solution:

- Assuming Q(t) satisfies:

                                       Q' = -r*Q

- Separate variables:

                                      dQ / Q = -r .dt

- Integrate both sides:

                                       Ln(Q) = -r*t + C

- Make the relation for Q:

                                       Q = C*e^(-r*t)

- Using initial conditions given:

                                       Q(0) = Q_o

                                       Q_o = C*e^(-r*0)

                                      C = Q_o    

- The relation is:

                                       Q(t) = Q_o*e^(-r*t)

- We are also given that the half life of carbon is t = 5730 years:

                                       Q_o / 2 = Q_o*e^(-5730*r)

                                        -Ln(0.5) = 5730*r

                                        r = -Ln(0.5)/5730

                                        r = 0.000120968          

- Hence, our expression for Q(t) would be:

                                       Q(t) = Q_o*e^(-0.000120968*t)                                    

7 0
3 years ago
What is 1+1? 10 point if u get it right.
kap26 [50]

Answer:

11

Step-by-step explanation:

duh add 1 and 1 merge it together to get 11

5 0
2 years ago
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PLEASE HELP! WILL GIVE BRAINLIEST AND EXTRA POINTS
Varvara68 [4.7K]

Answer:

1,3,4

Step-by-step explanation:

5 0
3 years ago
There are 9 computers and 72 students. What is the unit rate of students to computers?
IRISSAK [1]
The answer is A my dude, this is easy math lol

8 0
3 years ago
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Find the midpoint of the line segment joining the points R(3,2) and S(-5,5).
inessss [21]

The x coordinates are 3 and -5. They add to 3+(-5) = -2

Cut this in half to get -2/2 = -1

The x coordinate of the midpoint is x = -1

-------------------

The y coordinates are 2 and 5. They add to 2+5 = 7.

Then we cut this in half to get 7/2 = 3.5

The y coordinate of the midpoint is y = 3.5

-------------------

Overall, the midpoint is (-1, 3.5)

<h3>Answer: (-1, 3.5) which is the same as (-1, 7/2)</h3>

6 0
3 years ago
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