Question Number 227489 by gregori last updated on 04/Feb/26 $$\mathrm{1}+\mathrm{2}−\mathrm{3}−\mathrm{4}+\mathrm{5}+\mathrm{6}−\mathrm{7}−\mathrm{8}+\mathrm{9}+\mathrm{10}−\mathrm{11}−\mathrm{12}+ \\ $$$$…\:+\mathrm{100}\:=? \\ $$ Commented by Tinku Tara last updated on 04/Feb/26 $$\mathrm{3}−\mathrm{7}+\mathrm{11}−\mathrm{15} \\ $$$$\mathrm{3}+\mathrm{11}+\mathrm{19}+\mathrm{27}+\mathrm{35}+..+\mathrm{195}−…
Question Number 227471 by hardmath last updated on 02/Feb/26 $$\begin{cases}{\mathrm{log}_{\mathrm{3}} \mathrm{x}=\mathrm{a}}\\{\mathrm{log}_{\mathrm{3}} \mathrm{y}=\mathrm{b}}\end{cases}\:\:\:\:\:\Rightarrow\:\:\:\:\mathrm{log}_{\mathrm{3}} \left(\mathrm{x}^{\mathrm{3}} \centerdot\mathrm{y}^{\mathrm{2}} \right)=? \\ $$ Answered by som(math1967) last updated on 02/Feb/26 $${log}_{\mathrm{3}}…
Question Number 227476 by Spillover last updated on 02/Feb/26 Answered by fantastic2 last updated on 03/Feb/26 $$\mathrm{162} \\ $$ Commented by Spillover last updated on…
Question Number 227474 by Spillover last updated on 02/Feb/26 Answered by som(math1967) last updated on 03/Feb/26 Commented by Spillover last updated on 05/Feb/26 $${correct} \\…
Question Number 227465 by Spillover last updated on 01/Feb/26 $${How}\:{many}\:{hydrogen}\:{atoms}\:{are} \\ $$$${there}\:{in}\:\mathrm{2}.\mathrm{57}×\mathrm{10}^{−\mathrm{6}} {g}\:\:{of}\:{hydrogen} \\ $$ Answered by Kassista last updated on 02/Feb/26 $$ \\ $$$${M}\left({H}_{\mathrm{2}}…
Question Number 227433 by Lara2440 last updated on 26/Jan/26 Answered by Lara2440 last updated on 26/Jan/26 $$\mathrm{Pls}\:\mathrm{Help}….. \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 227422 by Spillover last updated on 24/Jan/26 Answered by Spillover last updated on 24/Jan/26 Answered by Spillover last updated on 24/Jan/26 Terms of…
Question Number 227373 by hardmath last updated on 18/Jan/26 Commented by hardmath last updated on 18/Jan/26 $$\mathrm{In}\:\mathrm{right}-\mathrm{angled}\:\mathrm{triangle}\:\mathrm{ABC} \\ $$$$\angle\mathrm{A}\:=\:\mathrm{90}° \\ $$$$\mathrm{AB}\:=\:\mathrm{8} \\ $$$$\mathrm{AC}\:=\:\mathrm{6}\:\:\:\mathrm{and}\:\:\:\angle\mathrm{B}\:=\:\mathrm{2}\angle\mathrm{BAD} \\ $$$$\mathrm{Find}:\:\:\mathrm{CD}\:=\:?…
Question Number 227368 by Math1 last updated on 18/Jan/26 $$\mathrm{If}\:\:\:\mathrm{sin9}°\:=\:\mathrm{a} \\ $$$$\mathrm{Find}\:\:\:\frac{\mathrm{cos3}°}{\mathrm{sin15}°}\:−\:\frac{\mathrm{sin3}°}{\mathrm{cos15}°}\:=\:? \\ $$ Answered by Kassista last updated on 18/Jan/26 $${Consider}\:{the}\:{arguments}\:{in}\:{degrees} \\ $$$$\frac{{cos}\:\left(\mathrm{3}\right)}{{sin}\:\left(\mathrm{15}\right)}−\frac{{sin}\left(\mathrm{3}\right)}{{cos}\left(\mathrm{15}\right)}\:=\:\frac{{cos}\left(\mathrm{3}\right){cos}\left(\mathrm{15}\right)−{sin}\left(\mathrm{3}\right){sin}\left(\mathrm{15}\right)}{{sin}\left(\mathrm{15}\right){cos}\left(\mathrm{15}\right)} \\…
Question Number 227369 by Math1 last updated on 18/Jan/26 $$\begin{cases}{\mathrm{3}^{\boldsymbol{\mathrm{m}}} \:+\:\mathrm{2}\centerdot\mathrm{4}^{\boldsymbol{\mathrm{n}}+\mathrm{1}} \:=\:\mathrm{17}}\\{\mathrm{4}^{\boldsymbol{\mathrm{n}}} \:−\:\mathrm{5}\centerdot\mathrm{3}^{\boldsymbol{\mathrm{m}}} \:=\:−\mathrm{44}}\end{cases}\:\:\:\:\:\mathrm{find}:\:\:\mathrm{m}+\mathrm{n}=? \\ $$ Answered by A5T last updated on 19/Jan/26 $$\mathrm{5}×\left(\mathrm{i}\right)−\left(\mathrm{ii}\right)\:\Rightarrow\:\mathrm{5}\centerdot\mathrm{2}\centerdot\mathrm{4}\centerdot\mathrm{4}^{\mathrm{n}} +\mathrm{4}^{\mathrm{n}}…