Question Number 8553 by Sopheak last updated on 16/Oct/16 Commented by Yozzias last updated on 16/Oct/16 $$\frac{\mathrm{1}}{\mathrm{n}!}−\frac{\mathrm{1}}{\left(\mathrm{n}+\mathrm{1}\right)!}=\frac{\mathrm{1}}{\mathrm{n}!}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{n}+\mathrm{1}}\right)=\frac{\mathrm{1}}{\mathrm{n}!}\left(\frac{\mathrm{n}+\mathrm{1}−\mathrm{1}}{\mathrm{n}+\mathrm{1}}\right)=\frac{\mathrm{n}}{\mathrm{n}!\left(\mathrm{n}+\mathrm{1}\right)}=\frac{\mathrm{n}}{\left(\mathrm{n}+\mathrm{1}\right)!} \\ $$ Answered by Yozzias last updated on…
Question Number 74087 by mr W last updated on 19/Nov/19 $$\left({Q}\mathrm{73828}\right) \\ $$$${prove}\:{that}\:{no}\:{cube}\:{exists}\:{whose}\:{corners} \\ $$$${are}\:{located}\:{on}\:{all}\:{faces}\:{of}\:{an}\:{other}\:{cube}. \\ $$ Commented by mr W last updated on 18/Nov/19…
Question Number 8550 by tawakalitu last updated on 15/Oct/16 Answered by ridwan balatif last updated on 16/Oct/16 Commented by tawakalitu last updated on 16/Oct/16 $$\mathrm{Wow}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.…
Question Number 139619 by I want to learn more last updated on 29/Apr/21 Answered by mr W last updated on 30/Apr/21 $${P}={pressure} \\ $$$${V}={volume}\:{of}\:{gas}\:\left({air}\right) \\…
Question Number 8545 by Rishabh#1 last updated on 15/Oct/16 $$\mathrm{18}:\mathrm{48}\:::\:\mathrm{180}:? \\ $$$$\mathrm{Answer}\:\mathrm{optioms} \\ $$$$\mathrm{a}.\:\mathrm{392}\:\mathrm{b}.\:\mathrm{294}\:\mathrm{c}.\mathrm{230} \\ $$ Commented by Rishabh#1 last updated on 16/Oct/16 $$\mathrm{Answer}\:\mathrm{given}\:\mathrm{is}\:\mathrm{294}.\:\mathrm{I}\:\mathrm{am}\:\mathrm{not} \\…
Question Number 139618 by I want to learn more last updated on 29/Apr/21 Answered by mr W last updated on 29/Apr/21 $$\frac{\mathrm{0}.\mathrm{00015}×\mathrm{0}.\mathrm{4}×\mathrm{1000}}{\mathrm{0}.\mathrm{03}}=\mathrm{2}\:{mm} \\ $$$${a}\:{degree}\:{is}\:\mathrm{2}{mm}\:{length}\:{on}\:{the}\:{scale}. \\…
Question Number 139612 by 676597498 last updated on 29/Apr/21 $${show}\:{that} \\ $$$$\int_{\mathrm{0}} ^{\:\infty} \frac{{cos}\left(\sqrt{{x}}\right)}{{e}^{\mathrm{2}\pi\sqrt{{x}}} −\mathrm{1}}{dx}\:=\:\mathrm{1}−\frac{{e}}{\left({e}−\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 139609 by bemath last updated on 29/Apr/21 $$\mathrm{If}\:\mathrm{tan}\:\mathrm{14}°\:=\:\mathrm{x}\:\mathrm{then}\:\mathrm{tan}\:\mathrm{18}°\:=? \\ $$ Answered by qaz last updated on 29/Apr/21 $$\mathrm{18}°=\frac{\mathrm{18}×\mathrm{14}°}{\mathrm{14}}=\frac{\mathrm{9}}{\mathrm{7}}\mathrm{tan}^{−\mathrm{1}} {x} \\ $$$$\Rightarrow\mathrm{tan}\:\mathrm{18}°=\mathrm{tan}\:\left(\frac{\mathrm{9}}{\mathrm{7}}\mathrm{tan}^{−\mathrm{1}} {x}\right) \\…
Question Number 139608 by mohammad17 last updated on 29/Apr/21 $${find}\:{the}\:{first}\:{root}\:\left(−\mathrm{8}{i}\right)^{\frac{\mathrm{1}}{\mathrm{2}}} \\ $$ Answered by floor(10²Eta[1]) last updated on 29/Apr/21 $$\sqrt{−\mathrm{8i}}=\mathrm{a}+\mathrm{bi} \\ $$$$−\mathrm{8i}=\mathrm{a}^{\mathrm{2}} −\mathrm{b}^{\mathrm{2}} +\mathrm{2abi} \\…
Question Number 74075 by ajfour last updated on 18/Nov/19 Commented by ajfour last updated on 18/Nov/19 $${To}\:{Tinkutara}\: \\ $$$${I}\:{was}\:{going}\:{to}\:{delete}\:{it}\:{on}\:{second} \\ $$$${thought}\:{but}\:{i}\:{touched}\:{upvote} \\ $$$${and}\:{cannot}\:{delete}\:{it}\:{now}, \\ $$$$\left({please}\:{help}\:{delete}\:{it}.\right)…