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Australia would be way better if it could match the mass shootings rate of the United States... :eek: :rolleyes: [/sarcasm]

Hint: The diagram is deliberately misleading. It encourages the reader to make an assumption that is not justified. Just because something appears to be true, doesn't mean it is true... what is the diagram implying is true that isn't actually known for sure from the information given...

Bad questions can provide good teaching points... and good educators fix questions when they find problems. :)

Note, also, that @scaryshark09's method can be shortened by keeping \omega and not taking \omega = p + iq: If |\omega| \neq 1, then summing the roots gives: \begin{align*} \text{Let $S$ = Sum of roots} &= \omega + \bar{\omega} + \frac{1}{\omega} + \frac{1}{\bar{\omega}} \\ &= \omega +...

This question is much more difficult than the above answers suggest, though I suspect that it is due to bad question writing. It highlights a more general issue, however, which is the hazards in making assumptions without noticing them, as they can be unjustified and sometimes render everything...

The old syllabus had more practice in this area, on questions with multiple approaches where choosing poorly led to much more difficult / extended working being necessary. Geometric approaches in complex number locus is one example where quick methods reward those with insight over the...

That's not the only option, though... the H2S could be removed from the gas stream first. This avoids the need to deal with the oxides of sulfur, but at the cost of reducing the caloric output. A further option might be to look for an exothermic process that results in a product other than...

The real answer is what @carrotsss said, it depends on your major(s), and Honours. There are plenty of psychologists wit a BA(Hons), careers in the humanities, journalism, creative arts, languages, philosophy, ...

A Bachelor of Attendance? :idea: You'd be fully qualified for McDonalds and KFC... :eek: :evilfire: 😇

ATAR is less important than knowledge of, and performance in, the subject you want to tutor. Then, there is ability to explain / communicate concepts, and the level you want to tutor. Plus, studies beyond year 12. There are people with ATARs of 99+ who are terrible tutors because they can't...

There are no subject prerequisites for most degrees, so that group looks fine. Biology is probably a better fit with medicine than Engineering Studies, but you'll be able to pick up anything you need at Uni. 2nd year biochemistry requires chemistry and biology at first year level, but they do...

Obviously, you need to compare the energy available per L of gas from 100% methane and the mixture, and also cost per kJ. Also, what will happen in the mixture to the CO2 and H2S? What are the environmental implications - more greenhouse gas per kJ, other pollutants, what you can do about the...

For any particular question(s)?

Bachelor of Science requires 12 cp of Maths in first year, 6 cp in Semester 1 and 6 cp in Semester 2. Then, taking 12 cp of FY chemistry and 12 cp of FY biology would make sense... The bio is necessary for an Anatomy and Histology major (and chemistry is very useful there too) and chem is...

If the claims made in the report about Lehrmann or about BRS are true, then making those claims and any damage to their reputation is caused by their own actions and not the statements, and thus is not defamation. Further, if Lehrmann or BRS launched defamation action on the basis that the...

Where the solution begins, but adding in every single step involved: \begin{align*} x^2 + cxy + y^2 + 1 &= 0 \qquad \text{where $c \neq -2$} \\ \text{Implicitly differentiating with respect to $x$:} \qquad \frac{d}{dx}\left(x^2 + cxy + y^2 + 1\right) &= \frac{d}{dx}\left(0\right) \\...

The ABC has a mandate to provide balanced coverage of news, which it does - unlike some others that might be mentioned.. Opinion pieces are not news, they are opinion. The British arrived with convicts in 1788 and set up a new settlement, one that was located where the native peoples of...

The proof is based on an interpretation of the word "touch"... suppose that there were multiple different curves all of which passed through the point (1, 1). Clearly, all of these curves come into contact at that point, but if they all have different gradients at that point then they cross one...

The way it is phrased, "for various values of c," is not good as there is only one possible curve and one possible value of c that goes through the point. If it said "show that all the curves blah that pass through (1, 1) touch", then their proof does do that, even though "all" is only one curve.

Note, there is no curve with x,\ y \in \mathbb{R} if c = -2 because \begin{align*} x^2 + cxy + y^2 + 1 &= 0 \\ \text{Put $c = -2$:} \qquad x^2 + -2xy + y^2 + 1 &= 0 \\ (x - y)^2 + 1 &= 0 \\ (x - y)^2 &= -1 = i^2 \\ x - y &= \pm i \end{align*}