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Goshia [24]
1 year ago
12

Complete the table for the radioactive iotope. (Round your anwer to 2 decimal place. Iotope : 239 Pu

Mathematics
1 answer:
Marizza181 [45]1 year ago
7 0

If the radio active isotope has the half life of 24100 years, then the initial quantity is 2.16 grams

The half life in years = 24100

Consider the quantity of the radio active isotope remaining

y = Ce^{kt}

When t = 1000 the y = 1.2

y = C/2 when t = 1599

Substitute the values in the equation

C/2 = Ce^{24100k}

Cancel the C in both side

1/2 = e^{24100k}

Here we have to apply ln to eliminate the e terms

ln (1/2) = 24100k

k = ln(1/2) / 24100

k = -2.87× 10^-5

To find the initial value we have to substitute the value of k and y in the equation

1.2 = Ce^{1000 ×  -2.87× 10^-5}

C = 1.2 / e^(-0.0287)

C = 2.16 gram

Hence, the initial quantity of the radioactive isotope is 2.16 gram

Learn more about half life here

brainly.com/question/4318844

#SPJ4

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slega [8]

Answer:

the word 'dictionary

Step-by-step explanation:

In fact, the word 'dictionary' (in its Latin form dictionarius) appears to have been coined by the Englishman John of Garland in the early 13th century as the title of a children's textbook written as a guide to Latin composition.

4 0
3 years ago
Read 2 more answers
The population of a pack of wolves is 88. the population is expected to grow at a rate of 2.5% each year. what function equation
satela [25.4K]

Answer:

The population model of wolves after t years is given by

f(t)=88(1.025)^t

D is the correct option.

Step-by-step explanation:

The exponential function can be represented as

f(t)=a(1+r)^t

a = initial amount

r = rate

t = time

Now, we have been given that

r = 2.5% = 0.025

a = 88

On substituting these values in the above exponential model

f(t)=88(1+0.025)^t\\f(t)=88(1.025)^t

The population model of wolves after t years is given by

f(t)=88(1.025)^t

4 0
3 years ago
Read 2 more answers
Melissa's family is on vacation.they spend $125 per day on food and entertainment.they have a budgeted only up to $750 for food
jeyben [28]

Melissa's family can afford <u>6</u><u> </u><u><em>days of vacation</em></u><u>.</u>

Reason:

You need to divide the budget by the money they spend everyday.

$750 ÷ $125 = <u>6 </u><u><em>days that the family can afford to pay for vacation.</em></u>

Hope this helps you!

7 0
3 years ago
What is the area of the figure in square millimeters and in square centimeters.
Westkost [7]
Area 15x15= 225 mm^2
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5 0
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Can anyone please help me? please?
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