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3 years ago

Help me asap please i will give you a heart help me

Mathematics

1 answer:

harkovskaia [24]3 years ago

8 0

The answer is the green option

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3 years ago

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Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=22 g$ is the final amount of the radioactive element

$A_{o}=800 g$ is the initial amount of the radioactive element

$t$ is the time elapsed

$h=8 min$ is the half life of the radioactive element

So, we need to substitute the given values and find $t$ from (1):

$22 g=(800 g) 2^{\frac{-t}{8 min}}$ (2)

$\frac{22 g}{800 g}=2^{\frac{-t}{8 min}}$ (3)

$\frac{11}{400}=2^{\frac{-t}{8 min}}$ (4)

Applying natural logarithm in both sides:

$ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}})$ (5)

$-3.593=-\frac{t}{8 min}ln(2)$ (6)

Clearing $t$ :

$t=41.46 min \approx 41.5 min$ This is the time elapsed

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3 years ago

PLS HELP WILL GIVE BRAINLIEST AND 5 STARS

lianna [129]

Answer:

Step-by-step explanation:

Initial Value is when x = 0, y = some number. In this case, your table shows that when x = 0, y = 7. So your initial value is 7 (answer choice A). Hope this helped! :D And also please mark me as brainlest! :)

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