1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yKpoI14uk [10]
3 years ago
14

Write a function that models 40mg of a substance that has a half life of 84 days

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0

Answer: The function is M(t) = 40mg*0.992^t

Step-by-step explanation:

Half life refers to the time that a given quantity to reduce to half its initial value.

This is usually a exponential decay, so we want a function of the form:

M(t) = A*r^(*t)

Were t is time, in this case, t is the number of days

A is the initial value

r is the rate of decrease, we will find that for exponential decays r must be a number between 0 and 1. If r is closer to 0, we will have a fast exponential decay, if r is closer to 1 we will have a slower exponential decay.

We have that the initial mass is 40mg, this is at t = 0.

M(0) = A*r^(0) = A = 40mg

So now we have the value of A.

Now, we know that in t = 84, the mass of the substance will be half its initial value, so it will be:

A/2 = 40mg/2 = 20mg

this means that:

M(84) = 40mg*r^(84) = 20mg

r^(84) = 20mg/40mg = 1/2

r = \sqrt[84]{1/2} = 0.992

Then the equation is:

M(t) = 40mg*0.992^t

You might be interested in
Pls help I will appreciate pls
Alex

Answer:

S = (1  times 5)times 6

Step-by-step explanation:

Question 5. Because there are 6 friends and each of them gets 5. one of them gets 5 But there are 6 friends so you multiply by 6.       6 times 5 is 30

6 0
3 years ago
Evaluate the expression when b = 6 and y = -6<br><br>-b + 4y
Blababa [14]
-30 is the answer

-6+4(-6)
-6+(-24)
-30
7 0
3 years ago
“Express each of the following numbers using scientific notation “
avanturin [10]

11. 1.97 * 10^-6

12. 3.5 * 10^-3

13. 2.28 * 10^13

14. 5.302 * 10^-3

15. 1.64 * 10^1

16. 9.85 * 10^-1

Can you see the pattern?

Try the rest yourself

5 0
3 years ago
Y = 2x + 3<br> 2y = 4x + 6<br><br> The system of equations has _____ solution(s).
Len [333]
Dividing the 2nd equation by 2 gives y=2x + 3 which is the same as the too
p line. any answer to one of them is obviously an answer to the other so there are infinitely many solutions
6 0
3 years ago
Please answer the top half ASAP I need it in 2h please
NeTakaya

Answer:

  1. 4/7
  2. 6/11
  3. 12/17
  4. 19/30
  5. 10/17
  6. 7/15
  7. 11/28
  8. 8/21
  9. 7/3
  10. 23/49
  11. 3/7
  12. 1/2
  13. 4/7
  14. 5/22
  15. 3/7
  16. 3/4
  17. 1/3
  18. 1/10
  19. 3/8
  20. 1/2
  21. 3/8
  22. 4/7
  23. 65/168
  24. 8/21
  25. 40/63
  26. 4/3
  27. 1/2
  28. 9/7
  29. 9/5
  30. 21/44
4 0
4 years ago
Other questions:
  • the larger of two numbers is nine less than four times the smaller number. If the sum od the two numbers is 76, find both number
    13·2 answers
  • A​ single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 3.
    15·1 answer
  • Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact
    10·1 answer
  • if Ms mary has 1 8/9 quarts .She drinks 1 3/9 quarts over the course of a week.How much orange juice​
    6·1 answer
  • URGENT!!!
    14·2 answers
  • Micky spent 3 1/4 hours practicing his trumpet. He needs to spend 5 1/2 hours receive an A in band. How many hours does Mickey n
    6·1 answer
  • Find the missing angle measures
    11·1 answer
  • Which of the following is the equation of a horizontal line
    5·1 answer
  • Can someone plz help me plz someone no links plz
    11·1 answer
  • What is Boolean function?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!