If there is property damage as a result of the collision, and you are unable to locate the owner, you should

Calculate the amount, in grams, of an original 300-gram sample of radioactive isotope Potassium-40 remaining after

Aleksandr [31]

Answer:

The current amount of the Potassium-40 sample is approximately 37.521 grams.

Explanation:

The amount of the sample of the radioactive isotope decays exponentially in time, the amount of mass of the sample as a function of time ( $m (t)$ ), in grams, is described below:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ (1)

Where:

$m_{o}$ - Initial mass, in grams.

$t$ - Time, in years.

$\tau$ - Time constant, in years.

The time constant can be found from half life ( $t_{1/2}$ ), in years, described in statement:

$\tau = \frac{t_{1/2}}{\ln 2}$ (2)

If we know that $m_{o} = 300\,g$ , $t = 3.9\times 10^{9}\,yr$ and $t_{1/2} = 1.3\times 10^{9}\,yr$ , then the current amount of the sample is:

$\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}$

$\tau \approx 1.876\times 10^{9}\,yr$

$m = (300\,g)\cdot e^{-\frac{3.9\times 10^{9}\,yr}{1.876\times 10^{9}\,yr} }$

$m\approx 37.521\,g$

The current amount of the Potassium-40 sample is approximately 37.521 grams.

4 0

3 years ago

Answer the following:

Black_prince [1.1K]

1. A) carnivore; third

The trophic levels are divided by the manner in which the energy is produced and consumed among the living organisms. The first trophic level is occupied by the autotrophs, which are the organisms that are able to produce their own food. The second trophic level is occupied by the organisms that feed upon the autotrophs, thus they are the herbivores, as well as the omnivores in partial sense. In this case we will have the ants at the second level. The third trophic level is reserved for the organisms that feed upon the organisms of the second trophic level, thus they are predators. In this case, we will have the wasp in the third trophic level.

2. B) consumption; 20

If there are herbivores and plants, the plants account for 1,000 kg in biomass, and the herbivores eat 200 kg of them, then the consumption is 20% of the total biomass. This kind of a scenario is able to support the whole population of herbivores without any problem, as there is much more food than they need. It will only become a problem if the population of herbivores starts to grow exponentially, and they start to consume all of the food and even require more, the population will collapse.

3. C) N20

The processes and nitrification and denitrification are very common, both in nature, and because of the human activity. The human activity has actually increased this process significantly. The main product of the nitrification-denitrification is the N2O. It is a vital product for the nitrogen cycle, and it is one that is increasing the atmospheric temperature, thus too much of it is not of best interest for anyone.

5 0

3 years ago

Which statement explains something that the fossil record indicates? Earth is 4. 5 billion years old. Mammals have always existe

Charra [1.4K]

The statement "Mass extinctions have occurred several times on Earth" explains the indication of the fossil record.

<h3>Indication of Fossil fuels:</h3>

Paleontologists are fascinated by the evolution and extinction of fossil species throughout geologic history. To do so, they look at all the fossils that have been preserved in sedimentary rocks.

The fossil record is what we call it. Paleontologists have been collecting fossils from sedimentary rock layers all over the world for over two centuries.

Their goal is to figure out how species have evolved over geologic time. It can be used as a geologic timescale once the succession is established.

Then, if a specific fossil is discovered in a rock, you can determine where it belongs on the geologic timescale.

Therefore, the correct option is the third sentence.

Learn more about fossil fuel here:

brainly.com/question/13655515

3 0

2 years ago

What are the ways to conserve soil erosion

jekas [21]