@?public

What does CAST stand for?? Cosine All Sine Tan What does CAST tell you?? When the values of trig functions are positive or negative. What should CAST actually be called?? ASTC What region of CAST are acute angles in?? A/All. What region of CAST are obtuse angles in?? S/Sin. What region of CAST are small reflex angles in?? T/Tan. What region of CAST are large reflex angles in?? C/Cos. What is the inequality for an acute angle?
2020-12-03
1 min read
See also: [[Physics - Collisions in 2D]]S What is the symbol symbol formula for momentum?? $$ p = mv $$ What is the word formula for momentum?? $$ \text{momentum} = \text{mass} \times \text{velocity} $$ What are the units for momentum?? $$ kgms^{-1} $$ Two cars, $A$ and $B$ are travelling in the same direction at $30mph$ and $31mph$ respectively. What could be said about the “magnitude” of the collision?? It’s the same as a $1mph$ collision.
2020-12-03
2 min read
What’s an example usage of barcodes?? Airline baggage tracking Product labelling Parcel delivery and shipment Ticketing and identification What concept allows barcode readers to work?? Reflected light What does a black bar represent in a barcode?? $$ 0 $$ Why does black represent $0$ in barcodes?? Black reflects less light. What does a white bar represent in a barcode?? $$ 1 $$ Why does white represent $1$ in barcodes?? White reflects more light.
2020-11-30
2 min read
How could you rewrite the hypotenuse in terms of $\cos$ and $\sin$?? $$ \frac{\sin \theta}{\cos \theta} $$ Because of Pythagoras, what could you write?? $$ \sin^2\theta + \cos^2\theta = 1 $$ How could you simplify $7(1 - \cos^2\theta)$?? $$ 7\sin^2\theta $$ How could you rewrite $(\cos^4\theta - \sin^4\theta)$ as the difference of two squares?? $$ (\cos^2\theta - \sin^2\theta)(\cos^2\theta + \sin^2\theta) $$ How could you simplify $(\cos^2\theta - \sin^2\theta)(\cos^2\theta + \sin^2\theta)$?? $$ (\cos^2\theta - \sin^2\theta) $$
2020-11-30
1 min read
See also: [[Physics - Hooke's Law]]S [[Physics - Energy]]S [[Physics - Work Done]]S What is the area under a force-extension graph?? Work done. The energy put into a spring by stretching it is called?? Elastic potential energy. Stretching a spring over a distance is doing what in relation to work done?? Applying a force over a distance. What does the area of the triangle represent?? Work done.
2020-11-30
1 min read
I can’t explain this well enough to put it into flashcards but thought it was cool: https://rationalwiki.org/wiki/Roko%27s_basilisk https://slate.com/technology/2014/07/rokos-basilisk-the-most-terrifying-thought-experiment-of-all-time.html https://www.lesswrong.com/tag/rokos-basilisk Backlinks [[Misc Notes]]N Metadata date: 2020-11-29 16:12 tags: - '@?rationality' - '@?public' - '@?safe-to-post-online' title: Roko's Basilisk
2020-11-29
1 min read
See also: [[Further Maths - Trigonometry Values]]S What’s the easiest way to answer a question about mutliple trigonometry solutions?? Draw an accurate graph. After how many degrees does $\sin(\theta)$ repeat?? $$ 360^{\circ} $$ After how many degrees does $\cos(\theta)$ repeat?? $$ 360^{\circ} $$ After how many degrees does $\tan(\theta)$ repeat?? $$ 180^{\circ} $$ When drawing a $\tan$ graph, what should you sketch first?? The asymptotes. Where are the asymptotes on a $\tan$ graph, in degrees?
2020-11-25
3 min read
What is a linear transformation?? A transformation that only involves linear terms in $x$ and $y$. $$\left(\begin{matrix}x \ y\end{matrix}\right) \mapsto \left(\begin{matrix}x + y \ y - 1\end{matrix}\right)$$ Is that a linear transformation?? No because it’s a translation. $$\left(\begin{matrix}x \ y\end{matrix}\right) \mapsto \left(\begin{matrix}2x - y \ x + y\end{matrix}\right)$$ Is that a linear transformation?? Yes. $$\left(\begin{matrix}x \ y\end{matrix}\right) \mapsto \left(\begin{matrix}2y \ -x^2\end{matrix}\right)$$ Is that a linear transformation?? No because it involves $x^2$ terms. If something is a linear transformation of $$\left(\begin{matrix}x \ y\end{matrix}\right)$$, how could you write the resulting matrix?
2020-11-24
15 min read
What is a relational database?? A method of creating a database using tables of related data. Records in a relational database are indexed by?? A primary key. What is an example of tables for a car rental business?? Customers Rentals Vehicles What is an example of the attributes for a customer in a car rental business?? Name Address Phone Email What’s another word for tables in a relational databse?? Relations What does one row in a table represent in a relational database?
2020-11-24
4 min read
Energy What is power?? Power is the rate at which work is done. What is the symbol formula for power?? $$ P = \frac{W}{t} $$ If velocity is the rate of change of displacement, work done is?? The rate of change of energy. What is the unit of power?? $$ \text{watt}, W $$ What is the equation for power in terms of velocity?? $$ P = Fv $$ How is efficiency calculated?? $$ \frac{\text{useful output energy}}{\text{total input energy}} \times 100% $$
2020-11-23
2 min read
What is energy?? The capacityof one object or system to do work or cause a change on another. What is the principle of the conservation of energy?? The energy of a closed system always remains constant; energy can never be created or destroyed, only transferred. What form of energy is due to the motion of a mass?? Kinetic energy. What form of energy is due to the position of a mass in a gravitational field?? Gravitational potential energy.
2020-11-23
2 min read
See also: [[Physics - Energy]]S What is work done equivalent to?? Energy transferred. What are the SI base units equivalent to for the Joule?? $$ kgm^2s^{-2} $$ How is work done calculated?? $$ \text{force},\times,\text{distance moved in direction of force} $$ In the equation $W = F \times d$ for work done, what is $d$?? The distance moved in the direction of the force. What is the area under a force-distance graph?? Work done. Backlinks [[Physics - Elastic Potential Energy]]S [[Physics - Syllabus]]S Metadata date: 2020-11-23 14:28 tags: - '@?
2020-11-23
1 min read