Category: Arithmetic

Question Number 207042 by necx122 last updated on 04/May/24 $$Provethatthesumofasquarefunction$$$$is\frac{n(n+1)(2n+1)}{6}$$ Answered by Rasheed.Sindhi last updated on 04/May/24 $$p\left(n\right):$$$$\mathrm{1}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}}…

Question Number 206919 by BaliramKumar last updated on 30/Apr/24 Answered by A5T last updated on 30/Apr/24 $$MA=2x;MC=3x\Rightarrow AC=5x$$$$\Rightarrow AB+BC=4+3x+2x=5x+4$$$${(2+3x)}^2+{(2+2x)}^2=25x^2$$$$\Rightarrow\mathrm{3}{x}^{\mathrm{2}}…

Question Number 206805 by BaliramKumar last updated on 26/Apr/24 Answered by A5T last updated on 26/Apr/24 $${\left(225\right)}^{40}={10}^x\Rightarrow x=40log225\approx 94.087<95$$$$\Rightarrow\mathrm{10}^{\mathrm{94}} <\left(\mathrm{225}\right)^{\mathrm{40}} <\mathrm{10}^{\mathrm{95}} \Rightarrow\mathrm{225}^{\mathrm{40}} \:{has}\:\mathrm{95}\:{digits}…

Question Number 206709 by Nimnim111118 last updated on 23/Apr/24 $$\mathrm{Find}\mathrm{the}\mathrm{missing}\mathrm{number}$$$$\overline{)\begin{array}{ccc}72& 24& 6\\ 96& 16& 12\\ 108& ?& 18\end{array}}$$$$\mathrm{A}.12\mathrm{B}.16\mathrm{C}.18\mathrm{D}.20$$$$\mathrm{Please}\mathrm{help}\dots$$ Commented by Frix last updated on 24/Apr/24…

Question Number 206636 by mathzup last updated on 21/Apr/24 $$resoudredans{N}^{2}lequation$$$$2x^2+3y^2=35$$ Commented by A5T last updated on 21/Apr/24 $$\left({x},{y}\right)=\left(\mathrm{4},\mathrm{1}\right)…