need answer thanks! only answer if you know please​!

Answer:

a) [tex]k \approx 0.0602\,\frac{1}{min}[/tex] ([tex]k\approx 6.02\,\frac{\%}{min}[/tex]), b) [tex]k \approx 0.0648\,\frac{1}{min}[/tex] ([tex]k \approx 6.48\,\frac{\%}{min}[/tex]), c) [tex]t_{1/2} \approx 60.274\,days[/tex], d) [tex]t_{1/2}\approx 4.305\,min[/tex], e) [tex]k \approx 0.3\,\frac{1}{min}[/tex] ([tex]k\approx 30\,\frac{\%}{min}[/tex]), f) [tex]k \approx 0.0120\,\frac{1}{min}[/tex] ([tex]k \approx 1.20\,\frac{\%}{min}[/tex]), g) [tex]k \approx 2.876\times 10^{-5}\,\frac{1}{yr}[/tex] ([tex]k \approx 2.876\times 10^{-3}\,\frac{\%}{yr}[/tex])

Step-by-step explanation:

All radioactive isotopes decay exponentially, the mass of the isotope as a function of time ([tex]m(t)[/tex]), measured in grams, is defined by:

[tex]m(t) = m_{o}\cdot e^{-k\cdot t}[/tex] (1)

Where:

[tex]m_{o}[/tex] - Initial mass of the isotope, measured in grams.

[tex]k[/tex] - Decay rate, measured in [tex]\frac{1}{min}[/tex] or [tex]\frac{1}{day}[/tex] or [tex]\frac{1}{yr}[/tex].

[tex]t[/tex] - Time, measured in minutes, days or years.

We define the decay rate in terms of half-life by using the following expression:

[tex]k = \frac{\ln 2}{t_{1/2}}[/tex] (2)

Where [tex]t_{1/2}[/tex] is the half-life of the isotope, measured in minutes or years.

Now we proceed to determine the missing values:

a) Polonium-200 ([tex]t_{1/2} = 11.5\,min[/tex])

[tex]k = \frac{\ln 2}{11.5\,min}[/tex]

[tex]k \approx 0.0602\,\frac{1}{min}[/tex]

b) Lead-194 ([tex]t_{1/2} = 10.7\,min[/tex])

[tex]k = \frac{\ln 2}{10.7\,min}[/tex]

[tex]k \approx 0.0648\,\frac{1}{min}[/tex]

c) Iodine-125 ([tex]k = 0.0115\,\frac{1}{day}[/tex])

[tex]t_{1/2} = \frac{\ln 2}{k}[/tex]

[tex]t_{1/2} = \frac{\ln 2}{0.0115\,\frac{1}{day} }[/tex]

[tex]t_{1/2} \approx 60.274\,days[/tex]

d) Kryption-75 ([tex]k = 0.161\,\frac{1}{min}[/tex])

[tex]t_{1/2} = \frac{\ln 2}{k}[/tex]

[tex]t_{1/2} = \frac{\ln 2}{0.161\,\frac{1}{min} }[/tex]

[tex]t_{1/2}\approx 4.305\,min[/tex]

e) Strontium-79 ([tex]t_{1/2} = 2.3\,min[/tex])

[tex]k = \frac{\ln 2}{2.3\,min}[/tex]

[tex]k \approx 0.3\,\frac{1}{min}[/tex]

f) Uranium-229 ([tex]t_{1/2} = 58\,min[/tex])

[tex]k = \frac{\ln 2}{58\,min}[/tex]

[tex]k \approx 0.0120\,\frac{1}{min}[/tex]

g) Plutonium-239 ([tex]t_{1/2} = 24100\,yr[/tex])

[tex]k = \frac{\ln 2}{24100\,yr}[/tex]

[tex]k \approx 2.876\times 10^{-5}\,\frac{1}{yr}[/tex]

What is the LCM of eight and nine

Which statement regarding triangle EFG are true? Select three options

write the decimal 2.10 as a percent ​

Q. Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is
30% complete. How many windows does she clean in all?

Please answer: A A piece of wood that is 7.07 centimeters long. Then she sawed 0.7 centimeters off the end. How long is the piece of wood now?

Find the m D
55
35
В

Solve
20 + 6k - 14+k

good monke good monke dog

Find the are of the semi circle.Either enter an exact answer in terms of pie or use 3.14 and enter your answer as a decimal.The raduis is 4

The ratio of men to women working for a company is 5 to 7 if there are 133 women working for the company what is the total number of employees

Find m Question below

Question
Mark's grade went from 65% to 90%. What was his percent increase?

25%

28%

38%

90%

Sara went to breakfast with her family. What is the total cost is the sales tax is 6%?​

Randy saving for console cost $290 he got a $50 gift card from grandma $15 each week, how many weeks until he get money?

Help me with this plz!?! I will mark brainliest!!!

Summer Earnings Jobs Hours Worked Earnings 6 Mowing Yards Delivering Newspapers Washing Cars $42 4 ney, in dollars and cents, did Kamron earn per hour for mowing yard +/-​

For the line that passes through Y(3,0), parallel to ↔DJ with D(-3,1) and J(3,3) I need to find the slope and to write a point slope form

Which equations are perpendicular to the line that passes through (2,1) and (3,4)



Group of answer choices

y=3x+5

y=3x+9

y=(-1/3)x+6

y=(-1/3)x+10

y=(1/3)x+4

y=(1/3)x+6

What is the equation of the line that is parallel to y=-2/3x+4 and that passes through (–2,–2)?

Answers
y=-2/3x-4/3
y=-2/3x-10/3
y=-2/3x-2/3
y=-2/3x-17/4​

Plz help with question

82. If AB has endpoint A (2,13) and midpoint (10, -1) then
give the coordinate of B.

At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?

the difference of two numbers is one and their product is 56

What’s the answer to this radical functions equation ASAP

solve for x. this is isosceles triangles on delta math. just solve for x thanks

Please help w/ all and leave a small explanation please! :)

Convert 5700 milligrams into pounds. Round your answer to the nearest hundredth.

Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of exactly $900, how much money does Dreya need to save in her final week of saving?
$13
$60
$70
$73

IF you do this for points YOU WILLLL NOT BE BRAINLEST AND YOU HAVE 1 HOUR IF IT IS LESS THAN AN HOUR NO ONE WILLL BE BRAINLEST !!!!!!!!!!!



Which number is missing on the following number line?

what does 1/2 plus 3/4