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vovangra [49]
3 years ago
11

Find the solution to the following system using substitution or elimination:​

Mathematics
1 answer:
raketka [301]3 years ago
4 0

Answer:

B) (3,1)

Step-by-step explanation:

y = -2x + 7

y = 3x - 8

3x - 8 = -2x + 7

combine like terms:

5x = 15

divide both sides of the equation by 5:

x = 3

y = 3(3) - 8 = 1

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6.665 grams of the 13 grams remain after 8 hours.

<h3>How much of a 13 gram sample of iron-52 would remain after 8 hours?</h3>

The decay equation for the 13 grams of iron-52 is:

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Where N is the amount of iron-52, and t is the time in years.

Where we used the fact that the half-life is exactly 8.3 hours.

Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:

N(8h) = 13g*e^{(-ln(2)/8.3h)*8h}} = 6.665g

So 6.665 grams of the 13 grams remain after 8 hours.

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