I have learned in class that to subtract decimal numbers and keep significant figures, one just lines up the decimal, then rounds the answer according to the operand with the fewest places after the decimal. My question is how to handle an integer subtracted by a decimal. 112 – 12.0 If I add the decimal […]

In part $ii) $the part underlined in green suggests that we substitute an equation we get from when $v’=0$ to garner a solution of $s’$ for all time from the time when $v’=0$. However $v’$ does not remain $0$ for all time from the the time when $v’=0$, so why can we substitute the expression […]

I am trying to balance an unbalanced chemical equation by using setting up a system of linear equations to solve for the stoichiometric coefficients in the chemical equation. After setting up a matrix, to try and solve the system, i cant because one of the matrices is a singular array. I have taken a look […]

Background: In a CH4 molecule, there are 4 C-H bonds that repel each other. Essentially the mathematical problem is how to distribute 4 points on a unit sphere where the points have maximal mutual distance – or, how to distribute 4 position vectors such that the endpoint distances between them are maximized. This question Angle […]

I’m trying to calculate the level of testosterone released from different testosterone esters. Here are some graphs of testosterone levels after single injections of 250mg of each ester. Testo U http://postimg.org/image/lgbdkvxj7/ Testo B http://s15.postimg.org/71alt4yyz/testob.jpg Each ester have a specific half life. e.g. testo e have an half life of 4.5 days. testo b 29.5 testo […]

The hydrocarbon benzene has six carbon atoms arranged at the vertices of a regular hexagon, and six hydrogen atoms, with one bonded to each carbon atom. I know that two molecules are said to be isomers if they are composed of the same number and types of atoms, but have different structure. How many isomers […]

In my AP chemistry class, I often have to balance chemical equations like the following: $$ \mathrm{Al} + \text O_2 \to \mathrm{Al}_2 \mathrm O_3 $$ The goal is to make both side of the arrow have the same amount of atoms by adding compounds in the equation to each side. A solution: $$ 4 \mathrm{Al} […]

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