Menu Close

Category: None

Dividing-by-the-factor-of-divisor-find-the-quotient-and-remainder-of-715-12-

Question Number 127912 by PRITHWISH SEN 2 last updated on 03/Jan/21 $$\mathrm{Dividing}\:\mathrm{by}\:\mathrm{the}\:\mathrm{factor}\:\mathrm{of}\:\mathrm{divisor}\:\mathrm{find}\:\mathrm{the}\: \\ $$$$\mathrm{quotient}\:\mathrm{and}\:\mathrm{remainder}\:\mathrm{of}\:\:\mathrm{715}\boldsymbol{\div}\mathrm{12} \\ $$ Answered by physicstutes last updated on 03/Jan/21 $$\:\mathrm{715}\:=\:\mathrm{12}\left(\mathrm{59}\right)\:+\:\mathrm{7} \\…

show-that-if-p-prime-integer-divise-a-n-then-p-divise-also-a-

Question Number 127897 by mathocean1 last updated on 02/Jan/21 $$ \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{if}\:\:\mathrm{p}\:\:\left(\mathrm{prime}\:\mathrm{integer}\right)\mathrm{divise}\: \\ $$$$\mathrm{a}^{{n}} \:\:\mathrm{then}\:\mathrm{p}\:\mathrm{divise}\:\mathrm{also}\:\mathrm{a}.\: \\ $$ Commented by JDamian last updated on 03/Jan/21 $${this}\:{question}\:{seems}\:{bizarre}\:{for}\:{me}\:{because}…

Question-127888

Question Number 127888 by A8;15: last updated on 02/Jan/21 Answered by mindispower last updated on 02/Jan/21 $${x}={sh}\left({t}\right) \\ $$$$\Rightarrow{dx}={ch}\left({t}\right){dt} \\ $$$$\Leftrightarrow\int_{\mathrm{0}} ^{\infty} {sin}\left({ch}\left({t}\right)\right){cos}\left({sh}\left({t}\right)\right){dt}..=\Omega \\ $$$$\Lambda=\int_{\mathrm{0}}…

Question-127889

Question Number 127889 by A8;15: last updated on 02/Jan/21 Answered by mindispower last updated on 02/Jan/21 $$=\underset{{n}\geqslant\mathrm{1}} {\sum}\frac{\mathrm{1}}{\mathrm{5}^{{n}} {n}} \\ $$$$\frac{\mathrm{1}}{\mathrm{1}−{x}}=\underset{{n}\geqslant\mathrm{0}} {\sum}{x}^{{n}} \\ $$$$\Rightarrow\int_{\mathrm{0}} ^{{t}}…

Question-127882

Question Number 127882 by zakirullah last updated on 02/Jan/21 Commented by mr W last updated on 03/Jan/21 $${please}\:{pay}\:{attention}\:{when}\:{typing}! \\ $$$$\left(\mathrm{111}\right)\mathrm{8}\:{is}\:{misleading},\:{since}\:{you} \\ $$$${meant}\:\left(\mathrm{111}\right)_{\mathrm{8}} . \\ $$…

How-many-natural-numbers-n-2020-such-that-n-3-is-divisible-by-2-n-

Question Number 127861 by naka3546 last updated on 02/Jan/21 $${How}\:\:{many}\:\:{natural}\:\:{numbers}\:\:{n}\:\leqslant\:\mathrm{2020}\:{such}\:\:{that} \\ $$$$\left({n}\:+\:\mathrm{3}\right)!\:\:{is}\:\:{divisible}\:\:{by}\:\:\mathrm{2}^{{n}} \:? \\ $$ Answered by floor(10²Eta[1]) last updated on 03/Jan/21 $$\mathrm{2}^{\mathrm{n}} \mid\left(\mathrm{n}+\mathrm{3}\right)!\Rightarrow\mathrm{k}\geqslant\mathrm{n} \\…

Question-62308

Question Number 62308 by aliesam last updated on 19/Jun/19 Commented by maxmathsup by imad last updated on 20/Jun/19 $${x}^{\mathrm{2}} −\mathrm{2}{x}\:\:+\mathrm{2}\:=\mathrm{0}\:\rightarrow\Delta^{'} \:=\mathrm{1}−\mathrm{2}\:=−\mathrm{1}\:={i}^{\mathrm{2}} \:\Rightarrow\alpha\:=\mathrm{1}+{i}\:\:{and}\:\beta\:=\mathrm{1}−{i}\:=\overset{−} {\alpha}\:\Rightarrow \\ $$$$\alpha^{{n}}…

Question-62289

Question Number 62289 by naka3546 last updated on 19/Jun/19 Answered by MJS last updated on 19/Jun/19 $$\mathrm{we}\:\mathrm{have} \\ $$$${A}_{\mathrm{1}} =\mathrm{3}=\frac{\mathrm{1}}{\mathrm{2}}×{a}×{x}\:\Rightarrow\:{x}=\frac{\mathrm{6}}{{a}} \\ $$$${A}_{\mathrm{2}} =\mathrm{5}=\frac{\mathrm{1}}{\mathrm{2}}×{b}×{y}\:\Rightarrow\:{y}=\frac{\mathrm{10}}{{b}} \\ $$$$\mathrm{side}\:\mathrm{of}\:\mathrm{triangle}\:=\:{c}…