Question Number 6788 by Tawakalitu. last updated on 26/Jul/16 Commented by Yozzii last updated on 27/Jul/16 $$\mathrm{60}=\mathrm{6}×\mathrm{10}=\left(\mathrm{3}×\mathrm{2}\right)\left(\mathrm{7}+\mathrm{3}\right) \\ $$$$\mathrm{17},\mathrm{23},\mathrm{32} \\ $$$${Add}\:{the}\:{two}\:{largest}\:{unit}\:{digit}\:{values}\:{among} \\ $$$${the}\:{three}\:{numbers}\:\left(\mathrm{3}\:\&\:\mathrm{7}\right)\:{and}\:{multiply}\:{this} \\ $$$${answer}\:{with}\:{the}\:{two}\:{largest}\:{digit}\:{values}\:{in}…
Question Number 6786 by Rasheed Soomro last updated on 25/Jul/16 $${Three}\:{Arabs}\:{A},{B}\:{and}\:{C}\:{were}\:{traveling} \\ $$$${together}.\:{On}\:{the}\:{lunch}\:{time}\:{A}\:{and}\:\:{B} \\ $$$${produce}\:{m}\:{and}\:\:{n}\:{loaves}\:{of}\:{bread}\:{respectively} \\ $$$${for}\:{eating}\:{but}\:{C}\:{have}\:{no}\:{loaf}\:{of}\:{bread}.\:{All} \\ $$$${the}\:{three}\:{ate}\:{together}.\:\:{After}\:{completing} \\ $$$${lunch}\:{C}\:\:{gave}\:{A}\:{and}\:{B}\:{m}+{n}\:{darhams}. \\ $$$${How}\:{shoud}\:{they}\:{divide}\:{this}\:{sum}? \\ $$$$…
Question Number 6739 by Tawakalitu. last updated on 20/Jul/16 $${Find}\:{the}\:\mathrm{102}{rd}\:{term}\:{of}\:\:\:{f}\left({x}\right)\:=\:{e}^{\mathrm{2}{x}^{\mathrm{3}} } \:\:\:{at}\:\:{x}\:=\:\mathrm{0} \\ $$ Answered by Yozzii last updated on 20/Jul/16 $${f}\left({u}\right)={e}^{{u}} =\underset{{n}=\mathrm{0}} {\overset{\infty} {\sum}}\frac{{u}^{{n}}…
Question Number 6743 by Tawakalitu. last updated on 20/Jul/16 $${P}\:{and}\:{Q}\:{are}\:{partners}\:{in}\:{a}\:{venture},\:\:{P}\:\:{contributed}\:#\mathrm{20},\mathrm{000}\:{for} \\ $$$${nine}\:{month},\:{and}\:{Q}\:{contributed}\:#\mathrm{50},\mathrm{000}\:{for}\:{one}\:{year}.\:{find}\:{each} \\ $$$${person}\:{share}\:{of}\:\:{profit}\:{of}\:#\mathrm{6},\mathrm{300} \\ $$$$ \\ $$ Answered by Rasheed Soomro last updated on…
Question Number 6687 by Tawakalitu. last updated on 13/Jul/16 $${Given}\:{that} \\ $$$$ \\ $$$$\mathrm{4362}\:=\:\mathrm{12} \\ $$$$\mathrm{9495}\:=\:\mathrm{21} \\ $$$$\mathrm{3816}\:=\mathrm{18} \\ $$$${Then}\:=…….. \\ $$$$\mathrm{9649}\:=\:? \\ $$ Answered…
Question Number 72161 by aliesam last updated on 25/Oct/19 Commented by aliesam last updated on 25/Oct/19 $${measure}\:{in}\:{radians}\:{of}\:{angle}\:{a}\: \\ $$$${respectively}\:{length}\:{of}\:{median}\: \\ $$$${from}\:{a} \\ $$ Commented by…
Question Number 6593 by Tawakalitu. last updated on 04/Jul/16 Commented by Yozzii last updated on 05/Jul/16 $${Given}\:{that}\:{p}\:{is}\:{prime}\:{and}\:{p}\leqslant\mathrm{100}, \\ $$$${show}\:{that}\:{there}\:{are}\:{solutions}\:\left({x},{y}\right),\: \\ $$$${x},{y}\in\mathbb{Z},\:{for}\:{which}\:{y}^{\mathrm{37}} \equiv{x}^{\mathrm{3}} +\mathrm{37}\:\left({mod}\:{p}\right). \\ $$$$−−−−−−−−−−−−−−−−−−−−−−−…
Question Number 6487 by Temp last updated on 29/Jun/16 $$\mathrm{Prove}\:\mathrm{and}\:\mathrm{show}\:\mathrm{why}: \\ $$$$\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{H}_{{k}} =\left({n}+\mathrm{1}\right)\left({H}_{{n}+\mathrm{1}} −\mathrm{1}\right) \\ $$$$\mathrm{Where}: \\ $$$${H}_{{k}} =\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+…+\frac{\mathrm{1}}{{k}} \\ $$ Commented by…
Question Number 71984 by Henri Boucatchou last updated on 23/Oct/19 $$\:{x},\:{y}\:\in\:{I}\:\subset\:\mathbb{R}\:\:{prove}\:\:{that}\:\:\mid{cosx}\:−\:{siny}\mid\:\leqslant\:\mid{x}\:−\:{y}\mid \\ $$ Answered by mind is power last updated on 23/Oct/19 $$\mathrm{x}=\mathrm{y}=\mathrm{0}\:\mathrm{mistack} \\ $$$$\Rightarrow\mathrm{1}\leqslant\mathrm{0}…
Question Number 71925 by Henri Boucatchou last updated on 22/Oct/19 $$\:\boldsymbol{{Solve}}\:\:\sqrt{\mathrm{1}\:−\:\boldsymbol{{x}}^{\mathrm{2}} }\:=\:\boldsymbol{{x}}^{\mathrm{4}/\mathrm{3}} \\ $$ Answered by MJS last updated on 23/Oct/19 $${x}={t}^{\mathrm{3}/\mathrm{2}} \\ $$$$\sqrt{\mathrm{1}−{t}^{\mathrm{3}} }={t}^{\mathrm{2}}…