2 years ago

I need help with Math

Mathematics

1 answer:

Sergeeva-Olga [200]2 years ago

3 0

1. 427 and 372

2. 427 is greater than 372

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balu736 [363]

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Dinosaur fossils are often dated by using an element other than carbon, like potassium-40, that has a longer half life (in this

Firlakuza [10]

The amount of substance left of a radioactive element of half life, $t_{\frac{1}{2}}$ after a time, t, is given by:

$N(t)=N_0\left( \frac{1}{2} \right)^ \frac{t}{t_{ \frac{1}{2} }}$

Given that potassium-40 has a half life of approximately 1.25 billion years.

The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:

$0.1=100\left( \frac{1}{2} \right)^ \frac{t}{1.25}} \\ \\ \Rightarrow\left( \frac{1}{2} \right)^ \frac{t}{1.25}}=0.001 \\ \\ \Rightarrow\frac{t}{1.25}\ln\left( \frac{1}{2} \right)=\ln(0.001) \\ \\ \Rightarrow \frac{t}{1.25}= \frac{\ln(0.001)}{\ln\left( \frac{1}{2} \right)} =9.966 \\ \\ t=9.966(1.25)=12.5$

Therefore, the maximum age of a fossil that we could date using 40k is 12.5 billion years.

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2 years ago

Write 2.71 repeating as a simplified fraction. 271/100 is wrong

Oksana_A [137]

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269/99

Step-by-step explanation:

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2 years ago

2. 3 times the sum of a number x and 13

torisob [31]

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(x+13)2.3 if simplifying.

Step-by-step explanation:

sum means add. so x plus 13 times 2.3 or 2.3(x+13)

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3 years ago