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
Alona [7]
2 years ago
10

The radioactive substance polonium-210, with a half-life of 138.39 days, is present in tobacco. Suppose that the soot in an ex-s

moker's lungs contains 100 milligrams of polonium-210. How much radioactive polonium will remain after one year of not smoking
Mathematics
1 answer:
Ksju [112]2 years ago
3 0

Answer:

16.07 milligrams

Step-by-step explanation:

From the question,

Using the formula of radioactive decay,

R/R' = 2ᵃ/ᵇ..................... Equation 1

Where R = Original mass of the polonium-210, R' = Final mass of polonium-210 after decaying, a = Total disintegration time, b = half life of polonium-210.

Make R' the subject of the equation

R' = R/(2ᵃ/ᵇ)................ Equation 2

Given: R = 100 milligrams, a = 1 years = 365 days, b = 138.39 days

Substitute these values into equation 2

R' = 100/(2³⁶⁵⁰⁰/¹³⁸³⁹)

R' = 100/(6.222)

R' = 16.07 milligrams of plonium-210

You might be interested in
PLEASE HELP ME WITH THIS THX!!!!!<br>I REALLY NEED HELP WITH THIS!
UkoKoshka [18]
I just want to reccomend desmos, it really helped me with graphing because im not so good at it

But what I got is: 
x-4y=-18
x=-18+4y

Root(-18,0)
Y-intercept: (0, 9/2)
4 0
3 years ago
Read 2 more answers
I have more yeyeyey
frozen [14]

Answer:

<h3>y≤9</h3>

Step-by-step explanation:

8 0
2 years ago
Which option best describes the polynomial?
liq [111]
Degree of ploynominal is the largest exponent you find, which is here the 4x to the 6th. there are only two terms here.
4 0
2 years ago
10 points <br><br> slope of (-2,-4) and (6,7)<br> (explain)
Finger [1]

Answer:

11/-8

Step-by-step explanation:

-2-6=-8

-4-7=11

then flip

4 0
2 years ago
Find the derivative.
Aleksandr [31]

Answer:

Using either method, we obtain:  t^\frac{3}{8}

Step-by-step explanation:

a) By evaluating the integral:

 \frac{d}{dt} \int\limits^t_0 {\sqrt[8]{u^3} } \, du

The integral itself can be evaluated by writing the root and exponent of the variable u as:   \sqrt[8]{u^3} =u^{\frac{3}{8}

Then, an antiderivative of this is: \frac{8}{11} u^\frac{3+8}{8} =\frac{8}{11} u^\frac{11}{8}

which evaluated between the limits of integration gives:

\frac{8}{11} t^\frac{11}{8}-\frac{8}{11} 0^\frac{11}{8}=\frac{8}{11} t^\frac{11}{8}

and now the derivative of this expression with respect to "t" is:

\frac{d}{dt} (\frac{8}{11} t^\frac{11}{8})=\frac{8}{11}\,*\,\frac{11}{8}\,t^\frac{3}{8}=t^\frac{3}{8}

b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:

"If f is continuous on [a,b] then

g(x)=\int\limits^x_a {f(t)} \, dt

is continuous on [a,b], differentiable on (a,b) and  g'(x)=f(x)

Since this this function u^{\frac{3}{8} is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:

\frac{d}{dt} \int\limits^t_0 {u^\frac{3}{8} } } \, du=t^\frac{3}{8}

5 0
3 years ago
Other questions:
  • Find all the real zeros of x3-2x2-5x+6=0.
    5·1 answer
  • The value of a dirt bike decreases by 15% each year. If you purchased this dirt bike today for $500, to the nearest dollar how m
    12·2 answers
  • Find two SQUARE numbers that have a sum of 130
    5·1 answer
  • What's the ratio of 6 soccer balls in 10 footballs
    14·2 answers
  • What do you have to do to each side to solve x + 5 &gt; 2? ​​
    9·1 answer
  • In how many months were there more than two days with thunderstorms?
    9·1 answer
  • Given m || n, find the value of x and y
    10·1 answer
  • I don’t understand can someone help me
    9·1 answer
  • Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent.
    5·1 answer
  • Measurement of missing angle?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!