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A drug, marijuana, owes its activity to tetrahydrocannabinol, which contains 70 per cent as many carbon atoms as hydrogen atoms and 15 times as many hydrogen atoms as oxygen atoms. The number of moles in a gram of tetrahydrocannabinol is $\quad 0.00318$. Determine its molecular formula. (a) $\mathrm{CH}_{3} \mathrm{O}_{2}$ (b) $\mathrm{C}_{21} \mathrm{H}_{30} \mathrm{O}_{2}$ (c) $\mathrm{C}_{15} \mathrm{H}_{30} \mathrm{O}_{2}$ (d) $\mathrm{C}_{70} \mathrm{H}_{15} \mathrm{O}$

Mm. Hi, welcome to question number 42. In this question, you want to know if we have 25 micrograms of c. 21 age, 30 oh two, We want to know how many moles that is and then how many molecules that represents. So to do this, we are going to need the molar mass of this substance. So we're going to add 21 carbons to the molar mass of 30 hydrogen to the molar mass of two oxygen and I get 314 0.45 So the Mueller mass 3 14 0.45 Of course that would be grams per mole. Right, So I'm going to use this information set up a little bit of dimensional analysis here. First thing I need to do is to get my micrograms two g. So I know that there are one times 10 to the sixth micrograms of anything in one g. Now I can use my molar mass. So there are 314.45 g of C. 21. Age 30 oh two in every mole of the substance. Mhm. Notice I put the grams in the denominator so that they will cancel. So the only unit I have remaining now is moles. So I can go ahead and calculate my answer here. And I'm going to round it to two significant figures since 25 only had two and I get eight point oh times 10 to the negative eighth of the C. 21. Age 30 oh two. Okay, the next thing I want to do then, so let me circle that. That is our first answer. That is the number of moles. Eight times 10 to the negative eight moles. Next thing we want to do is figure out how many molecules this is. So starting with my number of moles eight times 10 to the negative eight moles of C. 21 H 30 02 We need to use of God Rose number because we know there are avocados number of particles in one mole of anything. So six point oh 22 times 10 to the 23rd. That is avocados number. Okay, molecules of the C 21 H 30 02 in every mole of the C 21 H 30 02 What? All right, so mobile cancel and I get a number in number of molecules again rounding the two significant figures. I get 4.8 times 10 to the 16th molecules of C 21 age 30 oh two. So that is the answer to the second part of this question. Thank you so much for joining me.

This question now you just It says if one off the test subjects is randomly selected, find the probability that the subject did not use marijuana. Find the probability of the subject that he did not use marijuana. These are the total subjects who did not actually use marijuana. These are truly negative. These are the ones who are negative and who have also tested negative. But these are the ones who are negative but who have falsely been tested positive. So 24 plus 1 54 is 1 78 1 78 by 300. This is the probability that we want. And do we think the result affect the general population rate off subjects who do not use marijuana? I think the result is somewhat low for people who do not use marijuana. By the way, this value turns out to be 0.59 something zero point Faith Night. And this is my answer

Right before I start to fill in these blanks, Missy. And very single blink isn't answer. We have already seen, except the 1st 1 The 1st 1 is how many So Jack should be manufactured. And so that's a quantity on this axis. Right here. We have price. And ultimately, the amount of money it could be considered profit or revenue or expenses, depending on what we're looking at. But both of these air prices, price of the product and price of amount of money earned, spent or profited, so quantity doesn't exist. So we have to go way back to our equation, take the quantity equation and actually plug in the price point. Ignore the text being highlighted. That just happens. Sometimes if we put in this price point of $19.96 what is gonna happen? And that's gonna be our first blank. This gives us the quantity we need to fill in that blank. Turns out I've done all this work beforehand. If you do all that out and most by these two beings and that not that turns out, let me make this really explicitly clear that that number that quantity rounded to the nearest whole because you're not gonna have part of Ah, I guess, Toe Jack, which is kind of weird thing to say, But 5861 of these things, and now it's gonna be sold at that price point. We said $19 and 96 cents. Okay, the break even point. Those were way up here, right? That's what they're looking for. The 8 38 40 and 31 52. So let me just sex change, See, would be easy. So again, it got 40 cents. 8.40 And I believe when we don't check my work, so you want to. But profit is made between those prices. Yep. I mean, that's kind of saying like, profit is everything above break, even which is zero. So it should absolutely make sense. Okay, At the selling price, there's a revenue of revenue of a revenue of in 16,000 900 $79.26 and that actually is not really listen anywhere. What we'd have to do is go up here and they would be right there at that point where we would let me have it. It that would be where that revenue is, and then the expenses would be right there. So this next number is also one that you would have to look up by plugging $19 in 96 cents into the appropriate functions. Those expenses would be 60,000 300 $67 and 45 cents. Draco's two things to get the prophet in that profit number does show up. See this? Uh, it's his excels, and that's when we're gonna talk. About $56,611.81 run to near sent. So again, I guess the three numbers that haven't shown up is this the quantity. This is how you get the quantity. If you want to get the revenue and expenses, plug in $19.96 into the appropriate equations, like the expense equation and the revenue equation, and then you'll get there soon. Numbers, Um, subtracting. You'll get this profit or look at the maximum points in the hyperbole, and you'll also see that maximum profit

First part asks the break even point, so I have 12 X equals 10 X plus 15,000. And so X. Is gonna equal 15,000, Divided by 12 -10, which is two. And this gives me 7500 units. So that's the break even point. Next part asks what the inequality is. Um if the company turns a profit, so R. Is greater than C. That means 12 X is greater than 10 X plus 15,000, and it's the same as before. I end up getting X is greater than 7500 units. So this is the inequality that has to hold if the company wants to turn a profit.


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