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Vinil7 [7]
2 years ago
12

Element X is a radioactive isotope such that every 26 years, its mass decreases by half. Given that the initial mass of a sample

of Element X is 390 grams, how long would it be until the mass of the sample reached 260 grams, to the nearest tenth of a year?​
Mathematics
1 answer:
SSSSS [86.1K]2 years ago
8 0

Answer:

It will take 15.029 years for element X to reach mass of 260 grams

Step-by-step explanation:

The half life period of radioactive element X is 26 years

The initial mass of radioactive element X is 260 grams

Elapsed time = half life * log (beginning amount /ending amount)/log 2

Substituting the given values, we get

Elapsed time = 26 * log (390/260)/log 2

=  15.209 years

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What is the mean absolute deviation definition
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Aliya buys p pounds of apples for $2 per pounds. Write an algebraic expression to find the total cost?
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2 years ago
What is an equation of the line with slope 5 and y-intercept 8?
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Answer:

y=5x+8

Step-by-step explanation:

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Hope this helps!

8 0
3 years ago
The air temperature is -6 degrees celsius every hour for several hours. The air temperature after x hours is represented by the
andreyandreev [35.5K]

Answer:

x-intercept is (2,0)  [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]

y-intercept is (0, -6)  [The y-intercept represents the temperature at sunrise, -6°C]

Step-by-step explanation:

<u>Complete Question:</u>

<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>

<em />

  • The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
  • The y-intercept is the y-axis cutting point found by setting x = 0

Lets find x-intercept first:

f(x) = 3x - 6

0 = 3x - 6

3x = 6

x = 6/3

x = 2

x-intercept is (2,0)

Now, lets find y-intercept:

f(x) = 3x - 6

f(x) = 3(0) - 6

f(x) = -6

y-intercept is (0, -6)

The x-intercept means that it takes 2 hours for the temperature to reach 0°C

The y-intercept represents the temperature at sunrise, -6°C

3 0
3 years ago
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