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Question-201308

Question Number 201308 by Mingma last updated on 04/Dec/23 Commented by aleks041103 last updated on 04/Dec/23 $$−{Q}\Leftrightarrow−{Q} \\ $$$${Q}\Leftrightarrow−\left(−{Q}\right) \\ $$$${P}\Rightarrow{Q}\Leftrightarrow−\left(−{Q}\right) \\ $$$$\therefore{P}\Rightarrow−\left({Q}\right) \\ $$…

Question-201192

Question Number 201192 by Euclid last updated on 01/Dec/23 Answered by Calculusboy last updated on 01/Dec/23 $$\boldsymbol{{Solution}}:\:\boldsymbol{{Apply}}\:\boldsymbol{{I}\mathrm{n}}\:\boldsymbol{\mathrm{to}}\:\boldsymbol{{both}}\:\boldsymbol{{sides}} \\ $$$$\boldsymbol{{In}}\:\boldsymbol{{x}}^{\boldsymbol{{x}}^{\mathrm{4}} } =\boldsymbol{{In}}\mathrm{64} \\ $$$$\boldsymbol{{x}}^{\mathrm{4}} \boldsymbol{{Inx}}=\boldsymbol{{In}}\mathrm{64} \\…

Question-200958

Question Number 200958 by Mastermind last updated on 27/Nov/23 Answered by AST last updated on 27/Nov/23 $${ax}+{by}={c}; \\ $$$${a}=\mathrm{1},{b}=\mathrm{1},{c}={sin}\left(\frac{\pi}{\mathrm{6}}\right) \\ $$$${a}=\mathrm{1}−{sin}\left(\frac{\pi}{\mathrm{6}}\right);{b}=\mathrm{1};{c}=\mathrm{1} \\ $$ Answered by…

Question-200968

Question Number 200968 by Mastermind last updated on 27/Nov/23 Commented by AST last updated on 27/Nov/23 $${P}\overset{\mathrm{10}} {−}{S}\overset{\mathrm{12}} {−}{U}\overset{\mathrm{8}} {−}{T}\overset{\mathrm{7}} {−}{R}\overset{\mathrm{15}} {−}{Q}\overset{\mathrm{11}} {−}{P}\Rightarrow{min}=\mathrm{63} \\ $$…