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    struggle with graphs and functions

    Can you clarify what aspect(s) of question 4 are troubling you? The question, IMO, reads as being much broader than I think is intended. The requirement that "m,\ n,\ \text{and}\ p \le 4" covers not only the cases where they are positive integers (which is what I suspect was intended) but...
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    Same Sex Marriage Debate

    People of faith are not the targets of discrimination, nor are their rights to hold their beliefs or practice their religion under threat. What leads you to feel threatened or the target of discrimination in the legalisation of same sex relationships, or in trying to reduce the instances of...
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    Same Sex Marriage Debate

    I was comparing the range of attitudes, beliefs, opinions, values held be members of the LGBTQIA+ community and the heterosexual community. I was noting that there is no obvious reason why the two groups would differ in (say) feelings about incest or opinions about some topic or likelihood of...
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    Chemistry Help

    The electronic configuration of tin is [Kr]4d105s25p2. Written out in full, this is 1s22s22p63s23p63d104s24p64d105s25p2. It has two common / stable cations: Sn2+ has electronic structure [Kr]4d105s2. Written out in full, this is 1s22s22p63s23p63d104s24p64d105s2. Sn4+ has electronic...
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    Same Sex Marriage Debate

    "Normal" does not mean majoritarian, it means within the range of average / typical. A few sources on homosexuality as natural and normal... Is homosexuality a mental disorder? No, lesbian, gay, and bisexual orientations are not disorders. Research has found no inherent association between...
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    Same Sex Marriage Debate

    Homosexuality was illegal for considerable periods of time. It was not decriminalised in New South Wales until around 1983 or 1984. Incest is still unlawful. That the situations are different and not directly comparable is a matter of fact. I am not arguing about whether incest should (or...
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    Same Sex Marriage Debate

    This is a commonly made, but weak, argument. I can turn it around and say that any "expansion" extended rights to opposite sex couples. That heterosexuals would not choose to exercise the right to same-sex marriage illustrates exactly why the availability of opposite-sex marriage is not a...
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    Same Sex Marriage Debate

    Actually, I thought that you were / are in favour of legalisation of same-sex marriage. Rather, my point was that your juxtaposition of words admits the interpretation that same-sex marriage and incest are similarly disgusting and hence (arguably) moral unacceptable. I invite you to consider...
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    Same Sex Marriage Debate

    @Drdusk, granting marriage rights to non-heterosexual couples is about extending rights granted to the majority to a minority as a part of achieving equality under the law. Incest is not lawful for any couples so the situations are not directly comparable. And, placing the together invites...
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    Math Advanced Help

    h = 4.5 = \cfrac{9}{2}
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    Chemistry Depth study question

    These comments reflect some of my own thoughts on reading the question. Maxwell-Boltzmann is a suitable tool for explaining why the alternative pathway of lower activation energy results in a higher rate. If we start from an observation that a catalyst does increase rate, Maxwell-Boltzmann...
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    Need help with question.

    \begin{align*} \cos^2{\theta} - 5\cos{\theta} \times \sin{\theta} + 6\sin^2{\theta} &= 0 \quad \text{between $-\pi \leqslant \theta \leqslant \pi$} \\ \cos^2{\theta} - 2\cos{\theta}\sin{\theta} - 3\cos{\theta}\sin{\theta} + 6\sin^2{\theta} &= 0 \\ \cos{\theta}(\cos{\theta} - 2\sin{\theta}) +...
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    Same Sex Marriage Debate

    Reply... Part 2 of 2 Religious institutions accumulate power and support by creating an "in" group and an "out" group. The "out" group is both a potential source of new members as a group that can be judged / seen / treated as inferior by virtue of characteristics not shared with the "in"...
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    Same Sex Marriage Debate

    Reply... Part 1 of 2 Let me offer my thanks, also, for responding thoughtfully and demonstrating that discussions of topics with strongly-held views, opinions, and beliefs can be conducted in this forum in ways that remain civil and respect the forum guidelines. I am sure we both have strong...
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    Math Advanced Help

    I am taking "2 metres, then 113 metres, and so on" to mean "2 metres, then 1\dfrac{1}{3} m, and so on." The height of the bounces is a GP, with the first term (let's call it h) being the height of the roof. The GP is thus: h,\ h\left(\cfrac{2}{3}\right),\ h\left(\cfrac{2}{3}\right)^2,\...
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    Maths Help

    This is definitely meant as a test to see if the answer recognises that the sine rule produces two potential answers. It can be that either is valid or that other information makes only one valid, but both must be considered.
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    Same Sex Marriage Debate

    I was contemplating more like a mole of salt...
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    Projectile motion

    @viennamotley, the question means that \overrightarrow{r(t)} is the position vector from the origin of the projectile at any time t. You start from \overrightarrow{a(t)} = -g\overrightarrow{j} and integrate to get \overrightarrow{v(t)} where, at time t = 0, \overrightarrow{v(0)} =...
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    Same Sex Marriage Debate

    I can only recall having this distinction be made as part of "hate the sin, love the sinner" perspectives. Perhaps the argument is advanced by other groups or in other contexts, but I don't recall have seen that. IMO, the underlying notion has some utility, in that a person's thoughts, ideas...
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    Cancerous Chem Question Help

    The 0.25 mol of chloride ions must be split between the solid AgCl and the small amount in solution - they can't both be 0.25 mol. As my answer shows, the [Cl-] in the solution is around 2.34 x 10-10 mol in the 1 L of solution, and the n(AgCl) precipitated as solid is 0.249 999 999 76... mol...
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