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
kipiarov [429]
3 years ago
11

Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

of a minute, would it take the element to decay 22g.
Mathematics
1 answer:
Harman [31]3 years ago
7 0

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:  

A=A_{o}.2^{\frac{-t}{h}} (1)

Where:  

A=22 g is the final amount of the radioactive element

A_{o}=800 g is the initial amount of the radioactive element  

t is the time elapsed  

h=8 min is the half life of the radioactive element  

So, we need to substitute the given values and find t from (1):  

22 g=(800 g) 2^{\frac{-t}{8 min}} (2)  

\frac{22 g}{800 g}=2^{\frac{-t}{8 min}} (3)  

\frac{11}{400}=2^{\frac{-t}{8 min}} (4)  

Applying natural logarithm in both sides:  

ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}}) (5)  

-3.593=-\frac{t}{8 min}ln(2) (6)  

Clearing t:

t=41.46 min \approx 41.5 min This is the time elapsed

You might be interested in
Due to inflation, a fixed quantity of money can buy 3% less every year. If Pam has enough in her wallet to buy 47 movie tickets
Nitella [24]
3% x 10 years is 30%. 47 - 30% is 14.1 or 14
7 0
3 years ago
The United States govermoment produced about 10.25 billion pennies in one year. How is 10.25 billion written in scientific notat
Margarita [4]
  <span>In scientific notiation the number is noted as a number between 1 and 10 times 10 to whatever power is necessary to equal the original number so it needs to be 1.025 x 10^10 instead of 10.25.</span>
4 0
3 years ago
Read 2 more answers
If the revenue for the week is $2000, and labor cost consist of two workers earning $8 per hour who works 40 hours each, whay is
SVEN [57.7K]
Two workers earning 8 bucks an hour for 40hrs, well, that means each worker is making 8*40 or 320 bucks, now, is two workers, so 320+320 or 640 is the total cost then.

now, the revenue, sales income, is 2,000 bucks, how much is 640 off of?

well, if we take 2000 to be the 100%, what is 640 in percentage off of it?

\bf \begin{array}{ccllll}&#10;amount&\%\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;2000&100\\&#10;640&x&#10;\end{array}\implies \cfrac{2000}{640}=\cfrac{100}{x}

solve for "x".
6 0
3 years ago
Don't do for points.<br><br> Don't get your account banned.<br><br> Don't be me
elena-14-01-66 [18.8K]
The last option 9,000
4 0
3 years ago
Read 2 more answers
is this answer correct? if not please explain. The question is “The mass of the Eock of Gibraltar is 1.78 • 10 power of 12 kilog
Natalija [7]

Answer:

Step-by-step explanation:

Mass of Antarctic iceberg - Mass of Rock Gibraltar=

= 4.55 * 10^{13} - 1.78 * 10^{12} =  &#10; 45.5 * 10 ^{12}- 1. 78 *  10^{12}= 43.72 *  10^{12} &#10;  

Answer: 43.72 * 10^12 kg

3 0
3 years ago
Other questions:
  • Consider a six-sided die that is loaded so that numbers 2, 3, 4, 5 and 6 are all equally likely to appear, and 1 is three times
    13·1 answer
  • Which graph shows the solution to the equation 4^x– 3 = 8?
    11·1 answer
  • Plz help me with this! Thx in advance! <br> (I need to show work)
    6·1 answer
  • What is the mode of this set of data?
    7·2 answers
  • Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·2 answers
  • Help please
    13·1 answer
  • Find the number of boxes needed, x, for 42 granola bars. ​
    12·1 answer
  • There are 16 ounces in 1 pound. Juan is mailing a package that weighs 96 ounces. he wants to know the weight of the package in p
    6·1 answer
  • The sum of two positive integers is 18 and their difference is 2. What is the larger number?​
    6·1 answer
  • Convert from Decimal Notation to Scientific Notation
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!