Question Number 195208 by Mastermind last updated on 27/Jul/23 Answered by BaliramKumar last updated on 27/Jul/23 $$\mathrm{3}\left[\frac{\mathrm{3}\left(\mathrm{3}+\mathrm{1}\right)}{\mathrm{2}}\right]\:=\:\mathrm{18} \\ $$ Commented by BaliramKumar last updated on…
Question Number 195129 by a.lgnaoui last updated on 25/Jul/23 $$\mathrm{Calculer}\:\mathrm{la}\:\mathrm{valeur}\:\mathrm{de}\:\mathrm{la}\:\mathrm{serie}\:\mathrm{suivante}: \\ $$$$\boldsymbol{\mathrm{S}}=\frac{\mathrm{3}}{\mathrm{2}}+\frac{\mathrm{5}}{\mathrm{8}}+\frac{\mathrm{7}}{\mathrm{32}}+\frac{\mathrm{9}}{\mathrm{128}}+….. \\ $$ Answered by MM42 last updated on 25/Jul/23 $$\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }{S}=\frac{\mathrm{3}}{\mathrm{2}^{\mathrm{3}} }+\frac{\mathrm{5}}{\mathrm{2}^{\mathrm{5}} }+\frac{\mathrm{7}}{\mathrm{2}^{\mathrm{7}}…
Question Number 194878 by oMwarimu last updated on 18/Jul/23 Answered by Rasheed.Sindhi last updated on 18/Jul/23 $${a}+{d}={ar}^{\mathrm{3}} \:\:\wedge\:\:{a}+\mathrm{9}{d}={ar}^{\mathrm{6}} \\ $$$${a}\left({r}^{\mathrm{3}} −\mathrm{1}\right)={d}\:\wedge\:{a}\left({r}^{\mathrm{6}} −\mathrm{1}\right)=\mathrm{9}{d} \\ $$$${a}=\frac{{d}}{{r}^{\mathrm{3}} −\mathrm{1}}\:\wedge\:{a}=\frac{\mathrm{9}{d}}{{r}^{\mathrm{6}}…
Question Number 194887 by Mastermind last updated on 18/Jul/23 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{Inverse}\:\mathrm{laplace}\:\mathrm{transform}\:\mathrm{of} \\ $$$$\frac{\mathrm{S}\:+\:\mathrm{2}}{\mathrm{S}^{\mathrm{2}} \:+\mathrm{4S}\:+\:\mathrm{7}} \\ $$$$ \\ $$$$\mathrm{Urgent}! \\ $$ Answered by Dwan last updated on…
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Question Number 194606 by pete last updated on 10/Jul/23 $$\mathrm{When}\:\mathrm{a}\:\mathrm{kichen}\:\mathrm{is}\:\mathrm{removed}\:\mathrm{from}\:\mathrm{an} \\ $$$$\:\mathrm{oven},\:\mathrm{its}\:\mathrm{temperature}\:\mathrm{is}\:\mathrm{measured}\:\mathrm{at} \\ $$$$\:\mathrm{300}^{\mathrm{0}} \mathrm{F}.\:\mathrm{Three}\:\mathrm{minutes}\:\mathrm{later},\:\mathrm{its} \\ $$$$\:\mathrm{temperature}\:\mathrm{is}\:\mathrm{200}^{\mathrm{0}} \mathrm{F}.\:\mathrm{How}\:\mathrm{longwill} \\ $$$$\:\mathrm{it}\:\mathrm{take}\:\mathrm{the}\:\mathrm{kitchen}\:\mathrm{to}\:\mathrm{cool}\:\mathrm{of}\:\mathrm{to}\:\mathrm{a}\: \\ $$$$\mathrm{room}\:\mathrm{temperature}\:\mathrm{of}\:\mathrm{70}^{\mathrm{0}} \mathrm{F}? \\ $$…
Question Number 194563 by pete last updated on 10/Jul/23 $$\mathrm{A}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{12kg}\:\mathrm{rests}\:\mathrm{on}\:\mathrm{a}\:\mathrm{smooth}\:\mathrm{inclined} \\ $$$$\mathrm{plane}\:\mathrm{which}\:\mathrm{is}\:\mathrm{6m}\:\mathrm{long}\:\mathrm{and}\:\mathrm{1m}\:\mathrm{high}. \\ $$$$\mathrm{The}\:\mathrm{mass}\:\mathrm{is}\:\mathrm{connected}\:\mathrm{by}\:\mathrm{a}\:\mathrm{light}\:\mathrm{inextensible} \\ $$$$\mathrm{string}\:\mathrm{which}\:\mathrm{passes}\:\mathrm{over}\:\mathrm{a}\:\mathrm{smooth}\:\mathrm{pulley} \\ $$$$\mathrm{fixed}\:\mathrm{at}\:\mathrm{the}\:\mathrm{top}\:\mathrm{of}\:\mathrm{the}\:\mathrm{plane}\:\mathrm{to}\:\mathrm{a}\:\mathrm{mass}\:\mathrm{of} \\ $$$$\mathrm{4kg}\:\mathrm{which}\:\mathrm{is}\:\mathrm{hanging}\:\mathrm{freely}.\:\mathrm{With}\:\mathrm{the} \\ $$$$\mathrm{string}\:\mathrm{taut},\:\mathrm{the}\:\mathrm{system}\:\mathrm{is}\:\mathrm{released}\:\mathrm{from}\:\mathrm{rest}. \\ $$$$\mathrm{Using}\:\mathrm{Polya}\:\mathrm{problem}\:\mathrm{solving}\:\mathrm{approach} \\…
Question Number 194499 by Mastermind last updated on 08/Jul/23 $$\mathrm{3}^{\mathrm{x}} \:+\:\mathrm{4}^{\mathrm{x}} \:=\:\mathrm{5}^{\mathrm{x}} \\ $$$$\mathrm{find}\:\mathrm{x}\:? \\ $$ Commented by Frix last updated on 08/Jul/23 $$\mathrm{I}\:\mathrm{am}\:\mathrm{a}\:\mathrm{bit}\:\mathrm{blind}\:\mathrm{today}…\:\mathrm{just}\:\mathrm{guessing}: \\…
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