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
Blababa [14]
2 years ago
7

Element X decays radioactively with a half life of 9 minutes. If there are 610grams of

Mathematics
1 answer:
Nookie1986 [14]2 years ago
4 0

A half-life of 9 minutes corresponds to a decay factor <em>k</em> such that

\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)

Then the time it takes for the substance to decay from 610 g to 124 g is time <em>t </em>such that

124\,\mathrm g=(610\,\mathrm g)e^{kt}

Solve for <em>t</em> :

\dfrac{62}{305}=e^{kt}

\ln\left(\dfrac{62}{305}\right)=kt

t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686

so it takes about 20.7 min for the 610 g sample to decay down to 124 g.

You might be interested in
YO PLEASE HELP N ONLY ANSWER IF U KNOW THE ANSWER!!
Ronch [10]
HOPE THIS HELPS YOU..... :)

7 0
3 years ago
Work out the area of the triangle :)<br><br> Show working out plz:)
Snowcat [4.5K]
The formula for triangle area is b•h/ 1/2. so you would do 12•5=60. then divide that by 2 to get 30
7 0
3 years ago
I need a website to simplify fractions. Can anyone help. Please, your my only hope.
zysi [14]
Photomath is the best for fractions, decimals ect. You could also try a scientific calculator.
5 0
3 years ago
Slope=1÷5; y intercep = -5
sertanlavr [38]
The equation is
y =  \frac{1}{5}  x  - 5
3 0
3 years ago
A car travels 30.20 miles in 0.66 of an hour. What is the average speed, in
PtichkaEL [24]

Answer:

The average speed of the car is 45.76 mph

Step-by-step explanation:

avg speed = distance / time

3 0
2 years ago
Other questions:
  • A rectangular rug is 12.5 feet long and 10 feet wide. The rug needs to be reduced by a factor of es026-1.jpg to be placed near a
    5·2 answers
  • PLEASE HELP JUST KINDA CONFUSED ON THIS ONE I WILL MARK AS BRAINLIEST
    8·2 answers
  • An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X.
    7·2 answers
  • Suppose 360 nursing students took a certification test...
    12·2 answers
  • A candy company ships 1,200 candy bars to
    6·2 answers
  • How to do this T-T?
    5·1 answer
  • A boy named Tyler is paid $25 a day plus $0.25 cents for every newspaper he delivered. After his first day of work, he was paid
    7·1 answer
  • Here is Ibrahim's recipe for breakfast.
    14·2 answers
  • Which shows the expression below simplified?
    5·1 answer
  • Carlos has at most $40 to spend on food for a barbeque. He wants to buy hot dogs and hamburgers and then
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!