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Diano4ka-milaya [45]
3 years ago
7

On a map the key indicates that 1/4 inch = 1/2 mile. if two cities on themap are 4 1/2 inches apart what is the distance between

the cities
Mathematics
1 answer:
Ilya [14]3 years ago
8 0
Let the actual distance be x mile.
1/4 inch = 1/2 mile
9/2 inch = x mile
(9/2)/(1/4)=x/(1/2)
            18=2x
              x=9

the actual distance is 9 mile.
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Complete the table for the radioactive iotope. (Round your anwer to 2 decimal place. Iotope : 239 Pu
Marizza181 [45]

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

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y = Ce^{kt}

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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}

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

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brainly.com/question/4318844

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