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
barxatty [35]
3 years ago
11

The rate at which a quantity of a radioactive substance decays is proportional to the quantity of the substance. The constant of

proportionality λ is called the decay constant or decay rate (λ, like most physical constants, is conventionally represented by a positive number. That's why we call it a decay rate. If a quantity were increasing, we would use the words "growth rate" and also represent that by a positive number). Write the initial value problem that describes the amount N(t) of the radioactive substance remaining after time t, if the initial quantity N(0) is 6.
Mathematics
1 answer:
Butoxors [25]3 years ago
3 0

Answer:

\frac{dN}{dt} = λN           N(0) = 6

N(t) = N₀e^(λt)

Applying the inital value condition

N(t) = 6e^(λt)

Step-by-step explanation:

Summarizing  the information briefly and stating the  variables in the problem.

t = time elapsed during the decay

N(t) = the amount of the radioactive substance remaining after time t

λ= The constant of proportionality  is called the decay constant or decay rate

Given the initial conditions

N(0) = N₀ = 6

The rate at which a quantity of a radioactive substance decays (\frac{dN}{dt}) is proportional to the quantity of the substance (N)  and λ is the constant of proportionality  is called the decay constant or decay rate :

\frac{dN}{dt} = λN          

N(t) = N₀e^(λt) ......equ 1

substituting the value of  N₀ = 6 into equation 1

N(t) = 6e^(λt)

You might be interested in
A company logo is made up of a square and three identical triangles. What is the area of the logo? Enter your answer in the box.
garri49 [273]
Given:
square with sides measuring 7 cm.
3 triangles attached to three sides of the square. A line bisecting one triangle is measured at 4 cm.

Area of a square = s² = (7cm)² = 49 cm²

Area of a triangle = hb/2 = (4cm*7cm)/2 = 14 cm² 
Area of the 3 triangles = 14 cm² x 3 = 42 cm²

Total area of the logo = 49 cm² + 42 cm² = 91 cm²
7 0
3 years ago
Read 2 more answers
Jenna has $500 in her account and withdraws $50 every Sunday to pay for her account after n lessons,
Lostsunrise [7]

Answer:

What do you want for the answer?

This?

500-50n

Step-by-step explanation:

7 0
3 years ago
If you ask the first 50 females who enter a restaurant to complete a survey about their experience, who is the sample?
Anettt [7]

Answer:

the first girl

Step-by-step explanation:

because the first girl to take the survey is a sample but the rest that follows are just extras(can i get brainliest pls)

6 0
3 years ago
Read 2 more answers
Steven, Lisa and Mark want to buy a pizza. Steven said he could pay twice as much as Lisa. Mark said he could pay the remaining
34kurt

Answer:

$5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Write 2 expressions that represent the areas of 4 triangles
arsen [322]
2-9x and 17x - 8x +2
4 0
3 years ago
Other questions:
  • Which theorem states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote
    5·2 answers
  • Which expression is equivalent to 6(14)? <br> 6(10 + 4) 6(10 + 14) 6(1 + 40) 6(10 + 40)
    8·2 answers
  • The owner of a rental company rents bicycles and tricycles and keeps inventory by counting seats and wheels. One day, he counts
    9·1 answer
  • Please help me. Is that right?
    15·2 answers
  • The temperature of a solution in a science experiment is –6.2℃. Jesse wants to raise the temperature so that it is positive. Giv
    9·1 answer
  • the royal fruit company produces two types of fruit drinks. the first type is 40%pure fruit juice the second is 85%pure fruit ju
    6·1 answer
  • Triangle LMN similar to triangle OPQ find the measure of side PQ round your answer to the nearest 10th if necessary
    11·1 answer
  • S/9 &gt;12 What’s the answer??????
    13·2 answers
  • What’s the product of 22 and 49
    5·2 answers
  • 3X minus 2Y is equal to or greater than or equal to four
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!