3 years ago

How do I solve this?

Mathematics

1 answer:

EastWind [94]3 years ago

5 0

Answer:

i think that you have to divide each fraction, andmaybe find the other fractions

Step-by-step explanation:

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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.

3 0

3 years ago

Sandy spent half of Her allowance going to the movies. She washed the family car and earn seven dollars. What is your weekly all

Veseljchak [2.6K]

Answer:

I'm pretty sure it's 13.

Step-by-step explanation:

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3 years ago

50% of 80 50% of 48 50% of 15 25% of 120 25% of 90

Semenov [28]

1. 40
2. 24
3. 7.5
4. 30
5. 22.5

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3 years ago

What is the 100th term of the arithmetic sequence of 45, 40, 35, 30

Andre45 [30]

Answer:

(n-5)+45

Step-by-step explanation:

where n is the number, you always take away 5 and you add 45 because that is the first number of the sequence

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3 years ago

Beth is painting a picture. She usually buys acrylic paints at Michaels for $5.25 a tube. She runs out of black paint so she goe

andre [41]

Answer:

5.25

Step-by-step explanation:

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3 years ago

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