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3/5 of Cake = 5 x 150 g, Cake Weight = 5/3 x 750 g = 1250g

Important, it is not required to calculate the weight of cake given to you. The inverse of "remaining" fraction can directly giv...

y=ln([2x-1/2x=1]^1/2)- can be written as y= [0.5ln(2x-1)]-[0.5ln(2x+1)] due to laws of logs. Take first term -- (0.5ln(2x-1)) and substitute 2x-1 for u. so u=2x-1 and y=0.5lnu Now dy/du=1/2u and du/dx=2. ...

Before you try to work out the probability, establish the following answers from the question and jot them down. How many items are there in total? After something is chosen, is it put back before the nex...

In order to answer this question we will break it down into several pieces. Firstly, using physical arguments, can we narrow down which interval the man must overtake the women? After some thought, it mus...

Generally, quadratic equation of the form $\color{orange}{a}x^2 - \color{blue}{b}x + \color{green}{c} = 0$ where $\color{orange}{a} \neq 0$ can be solve by evaluating $$\color{brown}{\Delta} = \color{blue...