Question Number 53912 by Mikael_Marshall last updated on 27/Jan/19 $$\begin{cases}{\mathrm{2}^{{x}} −\mathrm{2}^{{y}} =\mathrm{1}}\\{\mathrm{4}^{{x}} −\mathrm{4}^{{y}} =\frac{\mathrm{5}}{\mathrm{3}}}\end{cases} \\ $$ Answered by byaw last updated on 27/Jan/19 $$\mathrm{2}^{{x}} =\mathrm{1}+\mathrm{2}^{{y}}…
Question Number 184980 by Shrinava last updated on 15/Jan/23 $$\sqrt{\mathrm{7}}\:\:+\:\:\sqrt{\mathrm{6}}\:\:=\:\:\mathrm{a} \\ $$$$\sqrt{\mathrm{7}}\:−\:\sqrt{\mathrm{6}}\:=\:? \\ $$ Answered by SEKRET last updated on 15/Jan/23 $$\:\:×\:\begin{cases}{\sqrt{\mathrm{7}}\:+\:\sqrt{\mathrm{6}}\:\:=\:\boldsymbol{\mathrm{a}}}\\{\sqrt{\mathrm{7}}\:\:−\:\sqrt{\mathrm{6}}\:\:=\:\boldsymbol{\mathrm{x}}}\end{cases} \\ $$$$\:\:\:\boldsymbol{\mathrm{ax}}=\:\mathrm{1} \\…
Question Number 53901 by byaw last updated on 27/Jan/19 Answered by tanmay.chaudhury50@gmail.com last updated on 27/Jan/19 $${Tylist}\:\:\:{duration}/{day}\:\:\:\:\:{total}\:{days}\:\:{total}\:{time} \\ $$$$\:\:\:\:\:\:\mathrm{6}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{5}{hrs}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{16}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{5}×\mathrm{16}{hrs} \\ $$$$\:\:\:\:\:\:\:\mathrm{4}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{6}{hrs}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{6}×{x}\:{hrs} \\ $$$${man}\:{power}\propto\frac{\mathrm{1}}{{total}\:{time}} \\ $$$$\left({M}.{P}\right)×\left({T}.{T}\right)={constsnt}…
Question Number 53902 by mr W last updated on 27/Jan/19 $${How}\:{many}\:{zeros}\:{and}\:{how}\:{many}\:{ones} \\ $$$${are}\:{there}\:{in}\:{the}\:{numbers}\:{from}\:\mathrm{1}\:{to} \\ $$$$\mathrm{9999}? \\ $$$${Example}:\:{in}\:{the}\:{number}\:\mathrm{1010}\:{there} \\ $$$${are}\:\mathrm{2}\:{zeros}\:{and}\:\mathrm{2}\:{ones}. \\ $$ Commented by tanmay.chaudhury50@gmail.com last…
Question Number 53877 by Mikael_Marshall last updated on 26/Jan/19 $$\mathrm{2}×\mathrm{4}^{{x}+\mathrm{2}} −\mathrm{5}×\mathrm{4}^{{x}+\mathrm{1}} −\mathrm{3}×\mathrm{2}^{\mathrm{2}{x}+\mathrm{1}} −\mathrm{4}^{{x}} =\:\mathrm{20} \\ $$ Commented by Abdo msup. last updated on 27/Jan/19 $${let}\:{put}\:\mathrm{4}^{{x}}…
Question Number 184942 by mnjuly1970 last updated on 14/Jan/23 $$ \\ $$$$\:\:\:\:{f}\left({x}\:\right)=\:{x}\:+\:\lfloor\:\:{x}\:+\:\frac{\:\lfloor\:\:\underset{} {\overset{} {{x}}}\:\:\rfloor}{\lfloor\:\:\:\frac{{x}^{\:\mathrm{2}} }{\mathrm{1}\:+{x}^{\:\mathrm{2}} }\:\:\:\rfloor+\mathrm{1}}\:\rfloor \\ $$$$\:\:\:\:\:\:\Rightarrow\:\:{f}^{\:−\mathrm{1}} \:\left({x}\:\right)=? \\ $$ Commented by Frix last…
Question Number 184941 by a.lgnaoui last updated on 14/Jan/23 $${Determiner}\:{une}\:{relation}\:{entre} \\ $$$${les}\:{coeficients}\:{de}\:{x},{y},{z}\: \\ $$$${pour}\:{que}\:\:{z}={x}+{y} \\ $$$$ \\ $$$${a}_{\mathrm{1}} {x}+{b}_{\mathrm{1}} {y}+{c}_{\mathrm{1}} {z}={u} \\ $$$${a}_{\mathrm{2}} {x}+{b}_{\mathrm{2}} {y}+{c}_{\mathrm{2}}…
Question Number 184938 by mnjuly1970 last updated on 14/Jan/23 $$ \\ $$$$\:\:\:\:\:\mathrm{If}\:\:,\:\:\begin{cases}{\:\:{f}\:\::\:\:\left[\:\sqrt{\mathrm{2}}\:,\:+\infty\:\right)\:\rightarrow\:\mathbb{R}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}\\{\:\:\:{f}\:\left({x}\:\right)\:=\:{x}^{\:\mathrm{2}} \:\:+\:\lfloor\:\frac{\:\mathrm{1}}{\mathrm{1}\:−\:\lfloor\:{x}^{\:\mathrm{2}} \:\rfloor}\:\rfloor\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}\end{cases} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\Rightarrow\:\:\:\:\lfloor\:\:{f}^{\:−\mathrm{1}} \:\left(\:\pi\:\right)\:\rfloor\:=\:? \\ $$$$ \\ $$$$ \\ $$…
Question Number 119396 by bemath last updated on 24/Oct/20 $${If}\:{the}\:{roots}\:{of}\:{the}\:{equation}\: \\ $$$$\mathrm{24}{x}^{\mathrm{4}} −\mathrm{52}{x}^{\mathrm{3}} +\mathrm{18}{x}^{\mathrm{2}} +\mathrm{13}{x}−\mathrm{6}=\mathrm{0}\:{are}\: \\ $$$$\alpha\:,\:−\alpha\:,\:\beta\:{and}\:\frac{\mathrm{1}}{\beta}.\:{Find}\:{the}\:{value}\:{of}\: \\ $$$$\alpha\:{and}\:\beta. \\ $$ Commented by Dwaipayan Shikari…
Question Number 184927 by mathlove last updated on 14/Jan/23 $${s}=\frac{\mathrm{2}}{\mathrm{11}^{\mathrm{0}} }+\frac{\mathrm{6}}{\mathrm{11}}+\frac{\mathrm{10}}{\mathrm{11}^{\mathrm{2}} }+\frac{\mathrm{14}}{\mathrm{11}^{\mathrm{3}} }+\frac{\mathrm{18}}{\mathrm{11}^{\mathrm{4}} }+\centerdot\centerdot\centerdot\centerdot \\ $$$${s}=? \\ $$ Answered by Rasheed.Sindhi last updated on 14/Jan/23…