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Category: Arithmetic

Question-7009

Question Number 7009 by Tawakalitu. last updated on 05/Aug/16 Commented by FilupSmith last updated on 06/Aug/16 $$\mathrm{do}\:\mathrm{you}\:\mathrm{mean}\:\left(−\mathrm{1}\right)^{\infty} \\ $$$$\mathrm{if}\:\mathrm{so}: \\ $$$$−\mathrm{1}={e}^{{i}\pi} \\ $$$$\therefore\mathrm{let}\:{z}=\left(−\mathrm{1}\right)^{{x}} ={e}^{{i}\pi{x}} \\…

States-The-increase-in-the-population-of-a-country-is-proportional-to-that-population-The-population-doubles-every-50-years-How-quickly-does-it-triple-

Question Number 138037 by greg_ed last updated on 09/Apr/21 $$\underline{\boldsymbol{\mathrm{States}}} \\ $$$$\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{increase}}\:\boldsymbol{\mathrm{in}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{population}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{country}}\:\boldsymbol{\mathrm{is}} \\ $$$$\boldsymbol{\mathrm{proportional}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{population}}. \\ $$$$\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{population}}\:\boldsymbol{\mathrm{doubles}}\:\boldsymbol{\mathrm{every}}\:\mathrm{50}\:\boldsymbol{\mathrm{years}}. \\ $$$$\boldsymbol{\mathrm{How}}\:\boldsymbol{\mathrm{quickly}}\:\boldsymbol{\mathrm{does}}\:\boldsymbol{\mathrm{it}}\:\boldsymbol{\mathrm{triple}}\:? \\ $$ Answered by MJS_new last updated…

How-many-digits-are-in-3-5000-

Question Number 6914 by Tawakalitu. last updated on 02/Aug/16 $${How}\:{many}\:{digits}\:{are}\:{in}\:\:\:\:\:\mathrm{3}^{\mathrm{5000}} \\ $$ Commented by Rasheed Soomro last updated on 03/Aug/16 $$\mathrm{3}^{\mathrm{1}} =\mathrm{3}\:\left(\mathrm{1}\:{digit}\right)\:,\:\mathrm{3}^{\mathrm{2}} =\mathrm{9}\:\left(\mathrm{1}\:{digit}\right) \\ $$$$\mathrm{3}^{\mathrm{3}}…

Question-6905

Question Number 6905 by rahma last updated on 02/Aug/16 Answered by sandy_suhendra last updated on 02/Aug/16 $$\sqrt[{\mathrm{3}}]{\mathrm{120}\:{x}^{\mathrm{5}} }\:\boldsymbol{\div}\:\mathrm{2}\sqrt[{\mathrm{3}}]{\mathrm{5}{x}} \\ $$$$=\sqrt[{\mathrm{3}}]{\mathrm{8}×\mathrm{15}{x}^{\mathrm{5}} }\:\boldsymbol{\div}\:\mathrm{2}\sqrt[{\mathrm{3}}]{\mathrm{5}{x}} \\ $$$$=\mathrm{2}{x}\sqrt[{\mathrm{3}}]{\mathrm{15}{x}^{\mathrm{2}} }\:\boldsymbol{\div}\:\mathrm{2}\sqrt[{\mathrm{3}}]{\mathrm{5}{x}} \\…

Question-6906

Question Number 6906 by Tawakalitu. last updated on 02/Aug/16 Commented by Rasheed Soomro last updated on 02/Aug/16 $${Let}\:{there}\:{are}\:{x}\:{students}\:{in}\:{Class}\:{C} \\ $$$${There}\:{will}\:{be}\:{x}+\mathrm{4}\:{students}\:{in}\:{Class}\:{B}\:\left[\mathrm{4}\:{more}\:{than}\:{C}\right] \\ $$$$\:\:\:\:\:\:\:{and}\:\:{x}+\mathrm{8}\:{in}\:{Class}\:{A}.\left[\mathrm{4}\:{more}\:{than}\:{B}\right] \\ $$$$ \\…