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Category: Algebra

The-faculty-of-science-news-paper-reports-that-the-combined-membership-of-the-mathematics-club-and-science-club-is-122-students-What-is-the-total-membership-of-the-chemistry-club-

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-136054

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-4973

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}}…

Let-sinh-1-a-bi-c-di-where-a-b-c-d-R-b-0-and-i-1-Find-each-of-c-and-d-in-terms-of-a-and-b-For-f-x-sinh-1-x-f-is-the-arc-hyperbolic-sine-function-

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…

Find-the-value-of-a-2-b-2-for-a-b-real-number-such-that-a-b-1-a-1-b-1-a-and-b-a-1-b-1-a-1-b-

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…

A-room-has-5-doors-if-a-person-enters-through-a-dooor-that-person-cannot-leave-through-that-same-door-Find-the-number-of-ways-that-person-can-enter-and-leave-that-room-

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} \\…

A-man-has-a-set-of-5-balls-in-which-3-are-red-and-2-are-blue-what-are-the-number-of-ways-these-5-balls-can-be-arranged-in-a-line-

Question Number 136002 by physicstutes last updated on 17/Mar/21 $$\mathrm{A}\:\mathrm{man}\:\mathrm{has}\:\mathrm{a}\:\mathrm{set}\:\mathrm{of}\:\mathrm{5}\:\mathrm{balls},\:\mathrm{in}\:\mathrm{which}\:\mathrm{3}\:\mathrm{are}\:\mathrm{red}\:\mathrm{and}\:\mathrm{2}\:\mathrm{are}\:\mathrm{blue} \\ $$$$\mathrm{what}\:\mathrm{are}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{these}\:\mathrm{5}\:\mathrm{balls}\:\mathrm{can}\:\mathrm{be}\:\mathrm{arranged}\:\mathrm{in}\:\mathrm{a}\: \\ $$$$\mathrm{line}. \\ $$ Answered by liberty last updated on 17/Mar/21 $$\frac{\mathrm{5}!}{\mathrm{2}!.\mathrm{3}!} \\…

let-s-define-a-relation-R-such-that-a-R-b-a-b-is-this-relation-reflexive-symmetic-and-transitive-equivalence-relation-

Question Number 136003 by physicstutes last updated on 17/Mar/21 $$\mathrm{let}'\mathrm{s}\:\mathrm{define}\:\mathrm{a}\:\mathrm{relation}\:\boldsymbol{{R}}\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\:_{{a}} {R}_{{b}} \:\Leftrightarrow\:{a}\:\leqslant\:{b} \\ $$$$\mathrm{is}\:\mathrm{this}\:\mathrm{relation}\:\mathrm{reflexive},\:\mathrm{symmetic}\:\mathrm{and}\:\mathrm{transitive}?\:\left(\mathrm{equivalence}\:\mathrm{relation}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-70460

Question Number 70460 by abdusalamyussif@gmail.com last updated on 04/Oct/19 Commented by Tinku Tara last updated on 04/Oct/19 $$\mathrm{can}\:\mathrm{you}\:\mathrm{please}\:\mathrm{use}\:\mathrm{app}\:\mathrm{like}\:\mathrm{camscanner} \\ $$$$\mathrm{to}\:\mathrm{take}\:\mathrm{pictures}. \\ $$ Commented by abdusalamyussif@gmail.com…