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Question-152481

Question Number 152481 by mathdanisur last updated on 28/Aug/21 Commented by Rasheed.Sindhi last updated on 29/Aug/21 $$\boldsymbol{{Some}}\:{solutions}: \\ $$$$\left({x},{y},{z}\right)=\left(\mathrm{3},\mathrm{3},\mathrm{8}\right),\left(\mathrm{3},\mathrm{8},\mathrm{3}\right),\left(\mathrm{8},\mathrm{3},\mathrm{3}\right) \\ $$ Answered by Rasheed.Sindhi last…

Question-86946

Question Number 86946 by A8;15: last updated on 01/Apr/20 Commented by john santu last updated on 01/Apr/20 $$\mathrm{A}^{\mathrm{2}} \:\mathrm{sin}\:^{\mathrm{2}} \mathrm{Ax}\:\:=\:\mathrm{B}^{\mathrm{2}} \:\mathrm{sin}\:\mathrm{Bx}\: \\ $$$$\Rightarrow\mathrm{sin}\:^{\mathrm{2}} \:\mathrm{Ax}\:=\:\frac{\mathrm{B}^{\mathrm{2}} }{\mathrm{A}^{\mathrm{2}}…

The-critical-temperature-of-water-is-higher-than-that-of-O-2-because-the-H-2-O-molecule-has-a-fewer-electrons-than-O-2-b-two-covalent-bonds-c-V-shape-d-dipole-moment-

Question Number 21411 by Tinkutara last updated on 23/Sep/17 $$\mathrm{The}\:\mathrm{critical}\:\mathrm{temperature}\:\mathrm{of}\:\mathrm{water}\:\mathrm{is} \\ $$$$\mathrm{higher}\:\mathrm{than}\:\mathrm{that}\:\mathrm{of}\:\mathrm{O}_{\mathrm{2}} \:\mathrm{because}\:\mathrm{the} \\ $$$$\mathrm{H}_{\mathrm{2}} \mathrm{O}\:\mathrm{molecule}\:\mathrm{has} \\ $$$$\left({a}\right)\:\mathrm{fewer}\:\mathrm{electrons}\:\mathrm{than}\:\mathrm{O}_{\mathrm{2}} \\ $$$$\left({b}\right)\:\mathrm{two}\:\mathrm{covalent}\:\mathrm{bonds} \\ $$$$\left({c}\right)\:\mathrm{V}-\mathrm{shape} \\ $$$$\left({d}\right)\:\mathrm{dipole}\:\mathrm{moment}. \\…

Find-the-number-of-ways-in-which-n-distinct-balls-can-be-put-into-three-boxes-so-that-no-two-boxes-remain-empty-

Question Number 21406 by Tinkutara last updated on 23/Sep/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways}\:\mathrm{in}\:\mathrm{which}\:{n} \\ $$$$\mathrm{distinct}\:\mathrm{balls}\:\mathrm{can}\:\mathrm{be}\:\mathrm{put}\:\mathrm{into}\:\mathrm{three} \\ $$$$\mathrm{boxes}\:\mathrm{so}\:\mathrm{that}\:\mathrm{no}\:\mathrm{two}\:\mathrm{boxes}\:\mathrm{remain} \\ $$$$\mathrm{empty}. \\ $$ Commented by mrW1 last updated on 06/Oct/17…

Four-dice-are-rolled-The-number-of-ways-in-which-at-least-one-die-shows-3-is-

Question Number 21405 by Tinkutara last updated on 23/Sep/17 $$\mathrm{Four}\:\mathrm{dice}\:\mathrm{are}\:\mathrm{rolled}.\:\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ways} \\ $$$$\mathrm{in}\:\mathrm{which}\:\mathrm{at}\:\mathrm{least}\:\mathrm{one}\:\mathrm{die}\:\mathrm{shows}\:\mathrm{3},\:\mathrm{is} \\ $$ Answered by myintkhaing last updated on 23/Sep/17 $$\mathrm{1}−\left(\frac{\mathrm{5}}{\mathrm{6}}×\frac{\mathrm{5}}{\mathrm{6}}×\frac{\mathrm{5}}{\mathrm{6}}×\frac{\mathrm{5}}{\mathrm{6}}\right)=\frac{\mathrm{671}}{\mathrm{1296}} \\ $$ Commented…

Question-152478

Question Number 152478 by imjagoll last updated on 28/Aug/21 Answered by mr W last updated on 28/Aug/21 $${x}=\mathrm{5}\:\mathrm{cos}\:\theta \\ $$$${y}=\mathrm{5}\:\mathrm{sin}\:\theta \\ $$$${k}=\mathrm{2}×\mathrm{25}\:\mathrm{cos}^{\mathrm{2}} \:\theta+\mathrm{6}×\mathrm{25}\:\mathrm{cos}\:\theta\:\mathrm{sin}\:\theta−\mathrm{4}×\mathrm{25}\:\mathrm{sin}^{\mathrm{2}} \:\theta \\…

Prove-that-6n-is-divisible-by-2-2n-3-n-

Question Number 21404 by Tinkutara last updated on 23/Sep/17 $$\mathrm{Prove}\:\mathrm{that}\:\left(\mathrm{6}{n}\right)!\:\mathrm{is}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{2}^{\mathrm{2}{n}} .\mathrm{3}^{{n}} . \\ $$ Answered by dioph last updated on 23/Sep/17 $$\mathrm{if}\:{n}\:>\:\mathrm{1},\:\mathrm{there}\:\mathrm{are}\:\mathrm{at}\:\mathrm{least}\:\mathrm{3}{n}\:\mathrm{even} \\ $$$$\mathrm{numbers}\:\mathrm{and}\:\mathrm{2}{n}\:\mathrm{multiples}\:\mathrm{of}\:\mathrm{3}\:\mathrm{in} \\…

3-4-exp-3-4-0-1-f-x-dx-find-f-x-

Question Number 152472 by talminator2856791 last updated on 28/Aug/21 $$\: \\ $$$$\:\:\:\Gamma\left(\frac{\mathrm{3}}{\mathrm{4}}\right)\:=\:\mathrm{exp}\left(−\:\frac{\mathrm{3}\gamma}{\mathrm{4}}\:+\:\int_{\mathrm{0}} ^{\:\mathrm{1}} {f}\left({x}\right){dx}\right) \\ $$$$\: \\ $$$$\:\:\:\:\mathrm{find}\:{f}\left({x}\right) \\ $$$$\: \\ $$ Answered by mindispower…