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
Vladimir79 [104]
3 years ago
9

Element X decays radioactively with a half life of 14 minutes. If there are 760 grams of Element X, how long, to the nearest ten

th of a minute, would it take the element to decay to 11 grams?
Mathematics
1 answer:
Mkey [24]3 years ago
4 0

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

You might be interested in
1-9.
abruzzese [7]
Uhh I think it's B or c
8 0
3 years ago
Read 2 more answers
Help me with the right answer
Nadya [2.5K]

Answer:

x = 3

y = 1

Step-by-step explanation:

9x - y = 26  ---------------(I)

9x + y = 28 ---------------(II)

9x - y = 26

9x = 26 + y

Substitute 9x = 26 + y in equation (II)

26 + y + y = 28               {add like terms}

26 + 2y = 28             {subtract 26 from both sides}

         2y = 28 - 26

        2y = 2    {divide both sides by 2}

           y = 2/2

y = 1

Substitute y =1 in equation (I)

9x - 1 = 26

9x = 26 + 1

9x = 27

x = 27/9

x = 3

x = 3

y = 1

6 0
3 years ago
Read 2 more answers
So would the answer be 5 eighths?
adelina 88 [10]
No, the answer is 3/8 because if 3/4 of the cars are Sudan's, and half of that three quarters are white, you need to divide three quarters into two to get the answer. I did this question by using the equivalent fraction 6/8 and dividing both numbers into two.
3 0
3 years ago
Solve -4(x + 10) - 6 = -3(x - 2). (1 point)
muminat

Answer:

=-52

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the value of x
bulgar [2K]

x equals negative 8 that's it

5 0
3 years ago
Read 2 more answers
Other questions:
  • pedro open his account with $710 and withdraw $35 per week. maria opened her account with $570 and withdrew $25 weekly .In how m
    6·1 answer
  • A belouga whale is 5 yards and 3 inches long and a gary whale is 15 yards and 5 incheslong
    8·2 answers
  • A rectangular prism is 6 inches long, 3 inches wide, and 2 inches high. What is its surface area?
    9·1 answer
  • Picture attached please answer quickly
    13·2 answers
  • Andy has a collection of movie dvds. in andys collection 3/5 of the dvds are action 1/4 of the dvds are comedy. andy said that 4
    14·1 answer
  • Who can do this whole thing 70 point and brainlest plz help me and plz explain thank you plz help fast thanks
    6·2 answers
  • How many heads would you expect if you flipped a coin twice? First, fill in the table below with the correct probabilities. Hint
    13·2 answers
  • Which is the graph of the function f(x)=x^3-x^2-17x-15?
    13·2 answers
  • The archway to the entrance of an art gallery can be
    8·1 answer
  • Which of the following steps is needed to inscribe a circle in a triangle?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!