Dating over 40 near Round Rock USA
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So how can we use this information-- in what we just figured out here, which is derived from the half-life-- to figure out how old this sample right over here? How do we figure out how old this sample is right over there? Well, what we need to figure out-- we know that n, the amount we were left with, is this thing right over here. So we know that we're left with 1 milligram. And that's going to be equal to some initial amount-- when we use both of this information to figure that initial amount out-- times e to the negative kt.
And we know what k is. And we'll figure it out later. So k is this thing right over here. So we need to figure out what our initial amount is. We know what k is, and then we can solve for t. How old is this sample?
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We saw that in the last video. So if you want to think about the total number of potassiums that have decayed since this was kind of stuck in the lava. And we learned that anything that was there before, any argon that was there before would have been able to get out of the liquid lava before it froze or before it hardened. So maybe I could say k initial-- the potassium initial-- is going to be equal to the amount of potassium 40 we have today-- 1 milligram-- plus the amount of potassium we needed to get this amount of argon We have this amount of argon 0.
The rest of it turned into calcium And this isn't the exact number, but it'll get the general idea. And so our initial-- which is really this thing right over here. I could call this N0. This is going to be equal to-- and I won't do any of the math-- so we have 1 milligram we have left is equal to 1 milligram-- which is what we found-- plus 0.
And then, all of that times e to the negative kt. And what you see here is, when we want to solve for t-- assuming we know k, and we do know k now-- that really, the absolute amount doesn't matter. What actually matters is the ratio. Because if we're solving for t, you want to divide both sides of this equation by this quantity right over here.
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So you get this side-- the left-hand side-- divide both sides. You get 1 milligram over this quantity-- I'll write it in blue-- over this quantity is going to be 1 plus-- I'm just going to assume, actually, that the units here are milligrams. So you get 1 over this quantity, which is 1 plus 0.
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That is equal to e to the negative kt. And then, if you want to solve for t, you want to take the natural log of both sides. This is equal right over here. You want to take the natural log of both sides.
So you get the natural log of 1 over 1 plus 0. And then, to solve for t, you divide both sides by negative k. So I'll write it over here. And you can see, this a little bit cumbersome mathematically, but we're getting to the answer.
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So we got the natural log of 1 over 1 plus 0. Well, what is negative k? We're just dividing both sides of this equation by negative k. Negative k is the negative of this over the negative natural log of 2 over 1. And now, we can get our calculator out and just solve for what this time is. And it's going to be in years because that's how we figured out this constant.
So let's get my handy TI First, I'll do this part. So this is 1 divided by 1 plus 0. So that's this part right over here. That gives us that number. And then, we want to take the natural log of that. So let's take the natural log of our previous answer. So it's the natural log of 0. It gives us negative 0. So that's this numerator over here. And we're going to divide that.
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So this number is our numerator right over here. We're going to divide that by the negative-- I'll use parentheses carefully-- the negative natural log of that's that there-- divided by 1. So it's negative natural log of 2 divided by 1. E9 means times 10 to the ninth. And I closed both parentheses.
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And now, we need our drum roll. So this should give us our t in years. Let's see how many-- this is thousands, so it's 3, so we get million or So this is approximately a million-year-old sample. I think we could have a wild afternoon together but I am happy just to share brunch with you. On another busy night at the same bar, at the same table in the front, three good-looking guys are having beers. They are John, Nick, and Brian, 26, 25, and 25; John is the marketing executive mentioned above, Nick works in the fitness industry, and Brian is an educator.
When asked about their experience with dating apps, their assessment is quite different from the interns from Boston College. Nick, with his lumbersexual beard and hipster clothes, as if plucked from the wardrobe closet of Girls, is, physically speaking, a modern male ideal. She found out by looking at my phone—rookie mistake, not deleting everything. He holds up his phone, with its cracked screen, to show a Tinder conversation between him and a young woman who provided her number after he offered a series of emojis, including the ones for pizza and beer.
Girls do the same, but they get judged.
I have a good time. Men in the age of dating apps can be very cavalier, women say. One would think that having access to these nifty machines their phones that can summon up an abundance of no-strings-attached sex would make them feel happy, even grateful, and so inspired to be polite. But, based on interviews with more than 50 young women in New York, Indiana, and Delaware, aged 19 to 29, the opposite seems to be the case.
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Is it possible that now the potentially de-stabilizing trend women are having to contend with is the lack of respect they encounter from the men with whom they have sex? Could the ready availability of sex provided by dating apps actually be making men respect women less? There are many evolved men, but there may be something going on in hookup culture now that is making some more resistant to evolving.
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Such a problem has the disrespectful behavior of men online become that there has been a wave of dating apps launched by women in response to it. There is Bumble, created by Tinder co-founder Whitney Wolfe, who sued the company after she was allegedly sexually harassed by C. Justin Mateen. Bring all of this up to young men, however, and they scoff. How are you gonna feel romantic about a girl like that?
Oh, and by the way? I met you on Tinder. Even the emphasis on looks inherent in a dating game based on swiping on photos is something men complain women are just as guilty of buying into. Men talk about the nudes they receive from women. They show off the nudes. And what about unsolicited dick pics? No woman I talked to said she had ever asked for one.
On a rainy morning at the University of Delaware, the young women who live in an off-campus house are gathering on their front porch for coffee. Rebecca, the blonde with the canny eyes, also mentioned above, hooked up with someone, too.