Question Number 69433 by azizullah last updated on 23/Sep/19 Answered by Kunal12588 last updated on 23/Sep/19 $$\mathrm{630}−\mathrm{7}{x}=\mathrm{3}{x} \\ $$$$\Rightarrow{x}=\mathrm{63} \\ $$ Commented by azizullah last…
Question Number 69431 by azizullah last updated on 23/Sep/19 Answered by Kunal12588 last updated on 23/Sep/19 $$\mathrm{120}={x}+{y}…\left(\mathrm{1}\right) \\ $$$${let}\:{x}>{y} \\ $$$$\mathrm{3}{y}=\mathrm{2}{x}…\left(\mathrm{2}\right) \\ $$$${from}\:\left(\mathrm{1}\right) \\ $$$$\mathrm{240}=\mathrm{2}{x}+\mathrm{2}{y}…
Question Number 3894 by Filup last updated on 24/Dec/15 $$\mathrm{I}\:\mathrm{have}\:{n}\:\mathrm{six}\:\mathrm{sided}\:\mathrm{dice}. \\ $$$$\mathrm{I}\:\mathrm{roll}\:\mathrm{them}\:\mathrm{all}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{proability} \\ $$$$\mathrm{that}\:{k}\:\mathrm{of}\:\mathrm{them}\:\mathrm{share}\:\mathrm{the}\:\mathrm{same}\:\mathrm{value}? \\ $$ Commented by Filup last updated on 24/Dec/15 $$\mathrm{Whoops}.\:\mathrm{That}\:\mathrm{was}\:\mathrm{my}\:\mathrm{mistake}! \\…
Question Number 69429 by Learner-123 last updated on 23/Sep/19 Commented by Learner-123 last updated on 23/Sep/19 $${v}_{{a}} =\:\mathrm{162}{km}/{h}\:\left(\nwarrow\right) \\ $$$${v}_{{b}} =\mathrm{144}{km}/{h}\:\left(\searrow\right) \\ $$ Commented by…
Question Number 134960 by bobhans last updated on 09/Mar/21 $$\mathrm{Number}\:\mathrm{theory} \\ $$A palindrome is a number that reads the same backwards as forwards, as 3141413.…
Question Number 134962 by 0731619177 last updated on 09/Mar/21 Answered by Olaf last updated on 09/Mar/21 $$\forall{x}\in\mathbb{R}^{\ast} ,\:\mathrm{arctan}{x}+\mathrm{arctan}\frac{\mathrm{1}}{{x}}\:=\:\frac{\pi}{\mathrm{2}} \\ $$$$\Omega\:=\:\int_{\mathrm{0}} ^{\infty} \frac{{x}\mathrm{arctan}{x}}{{x}^{\mathrm{4}} −{x}^{\mathrm{2}} +\mathrm{1}}\:{dx} \\…
Question Number 134957 by I want to learn more last updated on 09/Mar/21 Commented by I want to learn more last updated on 09/Mar/21 $$\mathrm{Check}\:\mathrm{this}\:\mathrm{sir}.…
Question Number 69423 by ajfour last updated on 23/Sep/19 Commented by ajfour last updated on 23/Sep/19 $$\:\:\:{y}={x}^{\mathrm{4}} +{ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d} \\ $$ Terms of Service…
Question Number 3886 by 123456 last updated on 23/Dec/15 $${f}:\left[\mathrm{0},+\infty\right)\rightarrow\mathbb{R} \\ $$$${g}:\left[\mathrm{0},+\infty\right)\rightarrow\mathbb{R} \\ $$$${f}\left({ux}\right)={f}\left({uf}\left({x}\right)\right) \\ $$$${g}\left({ux}\right)={g}\left({u}+{f}\left({x}\right)\right) \\ $$$${f}\left({x}\right)+{g}\left({x}\right)=? \\ $$ Commented by Yozzii last updated…
Question Number 3884 by Yozzii last updated on 23/Dec/15 $${Prove}\:{that}\:{there}\:{are}\:\begin{pmatrix}{{n}+{r}−\mathrm{1}}\\{{n}−\mathrm{1}}\end{pmatrix}\: \\ $$$${ways}\:{of}\:{placing}\:{r}\:{identical}\:{objects} \\ $$$${in}\:{n}\:{compartments},\:{where}\:{n}>{r}. \\ $$ Commented by RasheedSindhi last updated on 24/Dec/15 $${Let}\:{r}\:{objects}\:{are}\:{denoted}\:{as}\: \\…