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4 years ago

8

A 1.2 kg sample of Th-228 has a half-life of 1.9 years. How many grams of Th is left after 13.3 years?

1 answer:

Bumek [7]4 years ago

7 0

.009375 kg or 9.375 grams will remain

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In which biome do plants grow close to each other and close to the ground in order to resist the cold?

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could you please explain operations with scientific notation using this example. 5 × 10³ + 4.3 × 10⁴ i dont understand how to so

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Explanation:

The scientific notation:

$a\times10^k$

where

$1\leq a$ and k is integer.

We have the example:

$(5\times10^3)+(4.3\times10^4)$

You can write the numbers in a "normal" form:

$5\times10^3=5\times1000=5000\\\\4.3\times10^4=4.3\times10000=43000$

Make the sum:

$5000+43000=48000$

And next write it in the scientific notation:

$48000=4\underbrace{8000}_{\leftarrow4}=4.8000\times10000=4.8\times10^4$

<h3>Other method:</h3>

You can add numbers in scientific notation if the power of tens in both number is the same.

Therefore you must convert the first number:

$5\times10^3=0.5\times10\times10^3=0.5\times10^4$

Now, you can make the sum:

$(5\times10^3)+(4.3\times10^4)=0.5\times10^4+4.3\times10^4=(0.5+4.3)\times10^4=4.8\times10^4$

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3 years ago

What is the frequency of a wave traveling at 5,000 m/s with a wavelength of .002 m/cycle?

Korvikt [17]

Answer:

$2.5\cdot 10^6 Hz$

Explanation:

The relationship between the speed of a wave, its frequency and its wavelength is given by the wave equation:

$v=f\lambda$

where

v is the wave speed

f is the frequency of the wave, which is the number of cycles completed by the wave in one oscillation

$\lambda$ is the wavelength, which is the distance between two consecutive crests of the wave

For the wave in this problem we have:

v = 5000 m/s is the speed

$\lambda=0.002 m$ is the wavelength of the wave

Solving for f, we find the frequency:

$f=\frac{v}{\lambda}=\frac{5000}{0.002}=2.5\cdot 10^6 Hz$

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3 years ago