Question Number 205794 by mnjuly1970 last updated on 30/Mar/24 $$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\mathrm{A}\:=\:\left\{\:\frac{{k}}{\mathrm{2}^{{n}} }\:\mid\:\mathrm{1}\leqslant\:{k}\:\leqslant\:\mathrm{2}^{{n}} \:,\:{n}\in\mathbb{N}\:\right\} \\ $$$$\:\:\:\:\:{find}\:.\:\:\overset{\:−} {\mathrm{A}}\:=\:? \\ $$$$ \\ $$ Commented by…
Question Number 205577 by BaliramKumar last updated on 25/Mar/24 $$\mathrm{is}\:\infty\:\mathrm{a}\:\mathrm{real}\:\mathrm{number}? \\ $$ Commented by mr W last updated on 25/Mar/24 $${it}\:{is}\:{only}\:{a}\:{symbol}.\:{it}\:{may}\:{have}\:\: \\ $$$${different}\:{meanings}\:{depending}\:{on}\: \\ $$$${in}\:{which}\:{context}\:{it}\:{is}\:{used}.\:…
Question Number 205574 by Red1ight last updated on 24/Mar/24 $${S}=\frac{\mathrm{1}}{\mathrm{2}!}−\frac{\mathrm{1}}{\mathrm{3}!}+\frac{\mathrm{1}}{\mathrm{4}!}−\frac{\mathrm{1}}{\mathrm{5}!}… \\ $$$${S}=? \\ $$ Commented by Frix last updated on 25/Mar/24 $${S}=\frac{\mathrm{1}}{\mathrm{e}} \\ $$ Answered…
Question Number 205502 by MATHEMATICSAM last updated on 22/Mar/24 $$\mathrm{If}\:\mathrm{two}\:\mathrm{roots}\:\mathrm{of}\:{ax}^{\mathrm{2}} \:+\:{bx}\:+\:{c}\:=\:\mathrm{0}\:\mathrm{are}\:\alpha\:\mathrm{and}\: \\ $$$$\beta\:\mathrm{then}\:\frac{\mathrm{1}}{\left({a}\alpha^{\mathrm{2}} \:+\:{c}\right)^{\mathrm{2}} }\:+\:\frac{\mathrm{1}}{\left({a}\beta^{\mathrm{2}} \:+\:{c}\right)^{\mathrm{2}} }\:=\:? \\ $$ Answered by Rasheed.Sindhi last updated on…
Question Number 205457 by BaliramKumar last updated on 21/Mar/24 Answered by Rasheed.Sindhi last updated on 21/Mar/24 $${x}+\mathrm{log}_{\mathrm{15}} \left(\mathrm{1}+\mathrm{3}^{{x}} \right)={x}\mathrm{log}_{\mathrm{15}} \mathrm{5}+\mathrm{log}_{\mathrm{15}} \mathrm{12} \\ $$$$\mathrm{log}_{\mathrm{15}} \mathrm{15}^{{x}} +\mathrm{log}_{\mathrm{15}}…
Question Number 205456 by BaliramKumar last updated on 21/Mar/24 Answered by Rasheed.Sindhi last updated on 21/Mar/24 $${First}\:{digit}\:{can}\:{be}\:{occuied}\:{in}\:\mathrm{5}\:{ways} \\ $$$${Second}\:{digit}\:{can}\:{be}\:{occuied}\:{in}\:\mathrm{4}\:{ways} \\ $$$${Third}\:{digit}\:{can}\:{be}\:{occuied}\:{in}\:\mathrm{3}\:{ways}. \\ $$$${Total}\:{ways}:\:\mathrm{5}×\mathrm{4}×\mathrm{3}=\mathrm{60} \\ $$$$\left({d}\right)\:{is}\:{correct}.…
Question Number 205350 by necx122 last updated on 17/Mar/24 $${A}\:{man}\:{invested}\:{U}\mathrm{24000}.\mathrm{00}\:{in}\:{U}\mathrm{5}.\mathrm{00} \\ $$$${shares}\:{of}\:{a}\:{firm}.\:{After}\:{a}\:{period}\:{of} \\ $$$${time},\:{it}\:{appreciated}\:{to}\:{U}\mathrm{5}.\mathrm{50}\:{per}\:{share}. \\ $$$${How}\:{much}\:{dividend}\:{did}\:{he}\:{receive},\:{if} \\ $$$${the}\:{dividend}\:{declared}\:{is}\:\mathrm{50}{k}\:{per}\:{share}? \\ $$ Commented by A5T last updated…
Question Number 205204 by BaliramKumar last updated on 12/Mar/24 Answered by A5T last updated on 12/Mar/24 $${Container}\:{A}:\:{Spirit}\left(\mathrm{35}{l}\right),{Water}\left(\mathrm{45}{l}\right) \\ $$$${Container}\:{B}:\:{Spirit}\left(\frac{\mathrm{7}}{\mathrm{16}}×\mathrm{20}=\mathrm{8}.\mathrm{75}\right),{Water}\left(\mathrm{11}.\mathrm{25}\right) \\ $$$$\Rightarrow{Container}\:{A}':\:{Spirit}\left(\mathrm{26}.\mathrm{25}{l}\right),{Water}\left(\mathrm{33}.\mathrm{75}{l}\right) \\ $$$${Container}\:{A}'':\:{Spirit}\:\left(\mathrm{26}.\mathrm{25}{l}\right),{Water}\left(\mathrm{53}.\mathrm{75}{l}\right) \\ $$$${S}:{W}=\mathrm{21}:\mathrm{43}…
Question Number 205175 by BaliramKumar last updated on 12/Mar/24 Answered by Rasheed.Sindhi last updated on 12/Mar/24 $$\mathrm{413283P759387} \\ $$$$\bullet{Divide}\:{the}\:{number}\:{in}\:{groups}\:{of}\:\mathrm{3} \\ $$$${from}\:{right}\:{side} \\ $$$$\mathrm{4},\mathrm{132},\mathrm{83P},\mathrm{759},\mathrm{387} \\ $$$$\bullet{Apply}\:{subtraction}\:{and}\:{addition}…
Question Number 205117 by BaliramKumar last updated on 09/Mar/24 Answered by Rasheed.Sindhi last updated on 09/Mar/24 $$\frac{{x}}{{y}}+\frac{{y}}{{x}}=\mathrm{2} \\ $$$$\Rightarrow{x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{2}{xy} \\ $$$$\Rightarrow{x}^{\mathrm{2}} −\mathrm{2}{xy}+{y}^{\mathrm{2}} =\mathrm{0}…