Question Number 5023 by love math last updated on 03/Apr/16 $$\frac{\mathrm{25}^{−\mathrm{1}} +\:{log}_{\mathrm{2}} {a}^{−\mathrm{1}} }{\mathrm{5}^{−\mathrm{1}} −{log}_{\mathrm{4}} {a}}−\frac{\mathrm{3}}{{a}^{−\mathrm{0}.\mathrm{5}} } \\ $$$$ \\ $$$${Simplify} \\ $$ Answered by…
Question Number 136063 by liberty last updated on 18/Mar/21 $$ \\ $$A and B can do a job in 10 days and 5 days, respectively.…
Question Number 70518 by Shamim last updated on 05/Oct/19 $$\mathrm{If}\:\mathrm{a}^{\mathrm{3}} −\mathrm{b}^{\mathrm{3}} =\:\mathrm{513}\:\mathrm{and}\:\mathrm{ab}=\:\mathrm{54}\:\mathrm{then}\:\mathrm{find}\: \\ $$$$\mathrm{a}−\mathrm{b}=\:? \\ $$ Commented by Prithwish sen last updated on 05/Oct/19 $$\boldsymbol{\mathrm{use}}\:\:\:\left(\boldsymbol{\mathrm{a}}−\boldsymbol{\mathrm{b}}\right)^{\mathrm{3}}…
Question Number 70512 by abdusalamyussif@gmail.com last updated on 04/Oct/19 $$\mathrm{The}\:\mathrm{faculty}\:\mathrm{of}\:\mathrm{science}\:\mathrm{news}\:\mathrm{paper}\:\mathrm{reports}\:\mathrm{that}\:\mathrm{the}\:\mathrm{combined}\:\mathrm{membership}\:\mathrm{of}\:\mathrm{the}\:\:\mathrm{mathematics}\:\mathrm{club}\:\mathrm{and}\:\mathrm{science}\:\:\mathrm{club}\:\mathrm{is}\:\mathrm{122}\:\mathrm{students}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{total}\:\mathrm{membership}\:\mathrm{of}\:\mathrm{the}\:\mathrm{chemistry}\:\mathrm{club}? \\ $$ Commented by tw000001 last updated on 14/Oct/19 $$\mathrm{To}\:\mathrm{put}\:\mathrm{it}\:\mathrm{simply}, \\ $$$${n}\left({C}_{{M}} \:\cup{C}_{{S}} \right)=\mathrm{122} \\…
Question Number 136054 by azadsir last updated on 18/Mar/21 Commented by mr W last updated on 18/Mar/21 $${a}=\mathrm{log}_{{x}} \:{xyz}=\frac{\mathrm{1}}{\mathrm{log}_{{xyz}} \:{x}} \\ $$$$\Rightarrow\frac{\mathrm{1}}{{a}}=\mathrm{log}_{{xyz}} \:{x} \\ $$$$\Rightarrow\frac{\mathrm{1}}{{a}}+\frac{\mathrm{1}}{{b}}+\frac{\mathrm{1}}{{c}}=\mathrm{log}_{{xyz}}…
Question Number 4973 by hung260677 last updated on 28/Mar/16 Answered by Rasheed Soomro last updated on 30/Mar/16 $$\frac{\mathrm{3}{x}^{\mathrm{2}} +{xy}−{y}^{\mathrm{2}} }{{x}+{y}}=\mathrm{9}\:\wedge\:\frac{\mathrm{2}{x}^{\mathrm{3}} −{x}^{\mathrm{2}} {y}}{{x}+{y}}=\mathrm{20} \\ $$$$\Rightarrow\:{x}+{y}=\frac{\mathrm{3}{x}^{\mathrm{2}} +{xy}−{y}^{\mathrm{2}}…
Question Number 4970 by Yozzii last updated on 28/Mar/16 $${Let}\:{sinh}^{−\mathrm{1}} \left({a}+{bi}\right)={c}+{di}\:{where}\:{a},{b},{c},{d}\in\mathbb{R}, \\ $$$${b}\neq\mathrm{0}\:{and}\:{i}=\sqrt{−\mathrm{1}}.\:{Find}\:{each}\:{of}\:{c}\:{and}\:{d}\:{in}\:{terms} \\ $$$${of}\:{a}\:{and}\:{b}.\:{For}\:{f}:\:{x}\mid\rightarrow{sinh}^{−\mathrm{1}} {x},\:{f}\:{is}\:{the}\: \\ $$$${arc},{hyperbolic}\:{sine}\:{function}. \\ $$ Terms of Service Privacy Policy…
Question Number 136039 by liberty last updated on 18/Mar/21 $${Find}\:{the}\:{value}\:{of}\:{a}^{\mathrm{2}} +{b}^{\mathrm{2}} \: \\ $$$${for}\:{a},{b}\:{real}\:{number}\:{such}\:{that} \\ $$$$\:{a}\:=\:{b}+\frac{\mathrm{1}}{{a}+\frac{\mathrm{1}}{{b}+\frac{\mathrm{1}}{{a}+…}}} \\ $$$${and}\:{b}\:=\:{a}−\frac{\mathrm{1}}{{b}+\frac{\mathrm{1}}{{a}−\frac{\mathrm{1}}{{b}+…}}} \\ $$ Commented by MJS_new last updated…
Question Number 4963 by ankit chakravarti last updated on 27/Mar/16 $$\Sigma{x}\left({y}^{\mathrm{3}} −{z}^{\mathrm{3}} \right)=…. \\ $$$$ \\ $$ Commented by prakash jain last updated on 27/Mar/16…
Question Number 136000 by physicstutes last updated on 17/Mar/21 $$\mathrm{A}\:\mathrm{room}\:\mathrm{has}\:\mathrm{5}\:\mathrm{doors},\:\mathrm{if}\:\mathrm{a}\:\mathrm{person}\:\mathrm{enters}\:\mathrm{through}\:\mathrm{a}\:\mathrm{dooor}, \\ $$$$\mathrm{that}\:\mathrm{person}\:\mathrm{cannot}\:\mathrm{leave}\:\mathrm{through}\:\mathrm{that}\:\mathrm{same}\:\mathrm{door}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\: \\ $$$$\mathrm{of}\:\mathrm{ways}\:\mathrm{that}\:\mathrm{person}\:\mathrm{can}\:\mathrm{enter}\:\mathrm{and}\:\mathrm{leave}\:\mathrm{that}\:\mathrm{room}. \\ $$ Answered by liberty last updated on 17/Mar/21 $$\mathrm{5}×\mathrm{4}=\mathrm{20} \\…