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
lana66690 [7]
3 years ago
6

The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?

Mathematics
1 answer:
adell [148]3 years ago
3 0

Answer: 129.33 g

Step-by-step explanation:

$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)

\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t  \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}

$$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$$

You might be interested in
Look at the sample space below.
Jobisdone [24]

Answer:

There are 10 odd numbers: {1, 3, 5, 7, 9, 11, 13, 15, 17, 19} There are 4 factors of 8: {1, 2, 4, 8} There is 1 number in both lists: {1} Probability of an odd or a factor of 8 = (10 + 4 - 1)/20 = 13/20

5 0
3 years ago
Peyton spent $15.05 on 7 gallons of gas for her car. Jamal is buying the same gasoline,
blagie [28]

<em>15.05 ÷ 7 = $2.15 per gallon</em>

<em>--</em>

<em>2.15 x 4 = $8.60</em>

<em>--</em>

<em>jamal can buy 4 gallons of gas</em>

<em />

8 0
3 years ago
Billy is making an ice-cream sundae.
puteri [66]

Answer:2

Step-by-step explanation:

6 0
3 years ago
If you have 9/10 of a pound of granola how many 1/5 pound bags can you fill ?
Lostsunrise [7]

Answer:

4

Step-by-step explanation:

1/5 is the same as 2/10. How many 2's can you put in 9? You can put 4.5 2's in a 9. However, filling half a bag does not fill the entire bag, so the answer would be 4. You can fill 4 full 1/5 pound bags with 9/10 pounds of granola.

3 0
3 years ago
Pls PLS solve T_T i tried everything ​
Rudik [331]

Answer:

12√3 is the correct answer

6 0
3 years ago
Read 2 more answers
Other questions:
  • △ABC  is a right triangle with right angle C. Side AC is 6 units longer than side BC . If the hypotenuse has length 52–√ units,
    7·1 answer
  • Jenny has a rope that is 7 1/2 She wants to cut it into pieces that are 3/4of a foot long.
    15·1 answer
  • Help me in this problem please !!
    6·1 answer
  • Two transversals intersect two parallel lines as shown
    9·1 answer
  • Hi i need help. Please help
    7·1 answer
  • Movie tickets cost $9.95 for adults and $6.75 for students. The Ryder family buys 2 adult tickets, 3 student tickets, and then p
    7·2 answers
  • Can you help me with this please
    13·1 answer
  • -2/3x3/5+5/2-3/5*1/6
    8·1 answer
  • You have a bag that contains 6 red marbles and 3 blue marbles. You randomly choose one of the marbles. Without replacing the fir
    5·1 answer
  • Ike notices an interesting pattern; he sees that 7 is 14% of a and 18 is 6% of b. If c is b/a, then what is the value of c? ​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!