The radioactive element carbon-14 has a half-life of 5750 years. a scientist determined that the bones from a mastodon had lost 67.7% of their carbon-14. how old were the bones at the time they were discovered?

The bones are 9370 years old at the time they were discovered.

The half-lives the sample has experienced:

Since 67.7% of the population has died, this indicates that 32.3 % of the population has survived.

So,

= -1.63039393

The value -1.63039393 indicates that there have been 1.63039393 half-lives since the mastodon perished.

This is true, according to a fast sanity check. Because only half of the carbon-14 would be left after one-half life.

After another half-life, there would be just 25% of the original carbon-14 left. And, because 32.3 percent falls between 25 and 50 percent, the estimate of 1.63 half-lives is appropriate.

Simply increase the number of half-lives wasted by the carbon-14 half-life.

1.63039393 5750 = 9374.765097 ≅ 9370 years

(by rounding to 3 significant figures)

Thus, the bones were 9370 years old at the time they were discovered.

Learn more about carbon dating, refer to the link:

link

when—without warning—something provokes your anger, you may struggle not to succumb to it. since what typically makes you mad is feeling powerless in the face of what seems unfair, your anger is mostly an attempt at a “quick fix” to right the balance. it’s as though you’re raising a fist in protest, proclaiming that you’re not going to capitulate to such injustice.

there are, however, a multitude of problems related to this immediate, push-back reaction of anger. and probably the key one is that almost never does it resolve the issue that gave rise to it. such reactive anger is probably best understood as self-defeating. as david burns, the author of the seminal self- book feeling good, observes: if realistically, acting on your anger is to make any sense, it needs to meet two criteria—which, in almost every case, is frankly impossible. that is, your anger must:

be directed toward a person who has intentionally (and needlessly) behaved in a hurtful way toward you; and

be beneficial or advantageous to you (i.e., assist you in achieving a desired goal).

i think you’ll agree that only rarely can you claim that your anger is both warranted and , whether to yourself or the relationship.

so let me offer you a two-step alternative to abandoning your better judgment and giving in to the temptation of anger—one that should neutralize your anger in seconds. or, when you’re really angry, in minutes.

but keep in mind that you must really want to execute these steps, be sufficiently motivated to perform them. which means overcoming more unconscious resistance than you might ever have imagined. because there are many immediate “advantages” of anger that can interfere with your resolve, i’ll suggest a few of them that might interfere with your employing this powerful method to rid yourself of counter-productive anger.

explanation:

the food using pesticides in the future will harm you by giving you diseases like cancer or something since they have things that we should not eat in it like chemicals or pesticides. that is why organic food is more expensive because they take the time to make it right and healthy for you to eat.

explanation: