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
shepuryov [24]
3 years ago
9

I know you have to use the half life formula but I don’t know how to use it could someone show how to find the solution step by

step? Thank you

Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer:

A = Pe ^{-0.03108 * t}

Step-by-step explanation:

Note: these are typically two part questions...

you have the model and have to FIRST find a constant value "k"

once you have the "k" value you plug that into the model to finish the problem

A = Pe ^{-kt} is a typical version of the continuous decay...

e is "e 2.717" not a variable "e"

so... step 1.. fink k

you are told that the 1/2 life is 22.3 years...

so lets assume that we started with 2 units of lead, and waited for it to decrease to 1 (1 is 1/2 of 2)

you would have

1 = 2e^{k * 22.3}

.5 = e^{k * 22.3}

ln(.5) = 22.3k ln(e)

ln(e) = 1

ln(.5) = 22.3k

ln(.5) = 22.3k ln(e)

\frac{ln(.5) }{22.3} = k

\frac{\ln \left(0.5\right)}{22.3}=-0.03108 = k

You might be interested in
A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population?
olga55 [171]

Answer:

Every person in the US.

Step-by-step explanation:

  • If a selection of logo artists are asked whether they like or not the new logo, their answer will represent only the opinion of a specific group of artists of the US, and this is <u>not the objective of the beverage company</u>,who wants to know if people from the United States like their logo.
  • If 3,800 children age 5-15 are asked whether they like the logo or not, their opinion will only represent the opinion of some children in the US, whose age is between 5 and 15, and again, this is <u>not the objective of the beverage company</u>,who wants to know if people from the United States like their logo.
  • Finally, the population (which by definition includes all the elements under study, in this case, all the people in the US) will be defined by all people in the US: if the company wants to know if people from the US like their new logo, they must take into account that, the population under study is all people, and not a biased selection of it.
3 0
3 years ago
It takes Vanessa a half hour to walk to the library. She leaves her house at 5:00. What time does she get to the library?​
serg [7]
She gets to the library at 5:30. Half an hour is equal to 30 minutes, and if she leaves at 5:00, she will be there in thirty minutes.
4 0
2 years ago
What is the correct factorization of x^6-y^6
Soloha48 [4]
(x^3 - y^3)(x^3 + y^3)

You can get this by factoring based on the a^2 - b^2 model 
3 0
3 years ago
8. Write the equation of a line that is perpendicular to the given line and that passes through the
avanturin [10]
Y - 3 = 8/3(x + 2)...the slope here is 8/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3/8

y - y1 = m(x - x1)
slope(m) = -3/8
(-2,3)....x1 = -2 and y1 = 3
now we sub
y - 3 = - 3/8(x - (-2)...not done yet
y - 3 = -3/8(x + 2) <===

8 0
3 years ago
15 POINTS
pochemuha
A shape with rotational symmetry means it looks the same after a rotation. The image at number 3 is the only one that has rotational symmetry so answer yes for 3 and no for 1 and 2 okay 
7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the equation - x/16=-7/8
    5·1 answer
  • Write an algebraic expression for the product of a number squared and 4
    5·1 answer
  • Clarisse decided to do the 52 a week Money Saving Challenge. In the first week of January, she saved Php 5.00. In the second wee
    12·1 answer
  • Let x be the number of successes throughout n independent repetitions of a random experiment having probability of success p=1/4
    15·1 answer
  • Find the area of the triangle defined by the coordinates (7, 1), (0, 10), and (9, 4). (To the nearest tenth)
    12·2 answers
  • What is the solution to the system of equations?
    10·1 answer
  • A book 2 3/7 inches think and another book 3.56 inches thick , if he stacks the books about how tall will they be
    6·1 answer
  • On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an
    14·2 answers
  • A square and a circle have equal areas. Which shape has shorter perimeter?
    12·2 answers
  • Please help its easy just i'm dvmb, just need this for my homework real soon!.. DON'T MIND THOSE ANSWERS SELECTED!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!