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Lina20 [59]
3 years ago
11

Multiply. Write your answer as a fraction in the simplest form. (−1 2/3)^3

Mathematics
2 answers:
nikdorinn [45]3 years ago
5 0

Answer:

Fraction Calculator

Add Fractions, Subtract Fractions, Multiply Fractions, or Divide Fractions and get an answer in the simplest form with this Online Fraction Calculator.

FRACTION CALCULATOR

First Fraction

/

(+, -, x, ÷)

Second Fraction

/

Add Fractions

Subtract Fractions

Multiply Fractions

Divide Fractions

Step-by-step explanation:

Sati [7]3 years ago
5 0
Answer: 2/3 times 3 is 2.

Let us find 2/3 times 3. To multiply fractions through the following steps: Multiply the numerators. Multiply the denominators
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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 <span>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, </span><span>the maximum age of a fossil that we could date using 40k is 12.5 billion years.</span>
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