The half-life of Thorium - 232 is 14 billion years. If you started with 26 grams of Thorium, how many grams would you have left after 7 half-lives?
A) 0.203
B) 0.101
C) 0.05

A) 0.203 g

Explanation:

A radioactive isotope is an isotope that decays over time. The equation that describes the radioactive decay or an isotope is

where

is the initial mass of the isotope at time t = 0

is the mass of the isotope after time t

t is the time

is the half-life of the isotope, which is the time taken for the amount of isotope to halve

In this problem, we have:

is the initial mass of the sample of Thorium-232

is the half-life of the sample

Here we want to find the amount of thorium left after 7 half-lives, so when

Substituting into the equation, we find:

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:

answer by yourhope:

how do models compare to real-world objects?

d. most models represent a real-world object in a simpler way.

: )