2 years ago

Help wit this please

Mathematics

1 answer:

kotegsom [21]2 years ago

5 0

Answer:

1: Out: 5, 8, 11, 14

2: Out: 2, 7, 10, 11

3: Out: 11 Rule: Add 4

4: Out: 6 Rule: Add 4

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Nadusha1986 [10]

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$1516

Step-by-step explanation:

$78,832 / 52 weeks = $1516 per week

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Vikki [24]

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ki77a [65]

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3 years ago

If there are 180 grams of radioactive material with a half-life (decrease by half or 50%) of 1 hour, how much of the radioactive

Alexeev081 [22]

Answer:

After 3 hours there is left 22.5 grams of radioactive material.

Step-by-step explanation:

We can calculate the mass of radioactive material remaining after 3 hours, by using the decay equation:

$N_{t} = N_{0}*e^{-\lambda t}$ (1)

Where:

$N_{0}$ : is the initial mass = 180 g

$N_{t}$ : is the remaining mass after time t

λ: is the decay constant

The decay constant is given by:

$\lambda = \frac{ln(2)}{t_{1/2}}$

Where $t_{1/2}$ = 1 h.

By entering λ into equation (1) we hve:

$N_{t} = N_{0}*e^{-\frac{ln(2)}{t_{1/2}} t}$

$N_{t} = 180 g*e^{-\frac{ln(2)}{1 h} 3 h} = 22.5 g$

Therefore, after 3 hours there is left 22.5 grams of radioactive material.

I hope it helps you!

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3 years ago