Menu Close

Category: None

Given-g-x-1-1-3-1-2-x-g-1-2017-g-2-2017-g-3-2017-g-2016-2017-

Question Number 157611 by naka3546 last updated on 25/Oct/21 $${Given}\:\:{g}\left({x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{1}\:+\:\mathrm{3}^{\frac{\mathrm{1}}{\mathrm{2}}\:−\:{x}} } \\ $$$${g}\left(\frac{\mathrm{1}}{\mathrm{2017}}\right)\:+\:{g}\left(\frac{\mathrm{2}}{\mathrm{2017}}\right)\:+\:{g}\left(\frac{\mathrm{3}}{\mathrm{2017}}\right)\:+\:\ldots\:+\:{g}\left(\frac{\mathrm{2016}}{\mathrm{2017}}\right)\:\:=\:\:? \\ $$ Answered by Ar Brandon last updated on 25/Oct/21 $$\mathrm{g}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{1}+\mathrm{3}^{\frac{\mathrm{1}}{\mathrm{2}}−{x}} }=\frac{\mathrm{3}^{{x}}…

Find-the-number-of-x-1-2016-x-N-which-making-the-expression-4x-6-x-3-5-is-divided-by-11-

Question Number 157599 by naka3546 last updated on 25/Oct/21 $${Find}\:\:{the}\:\:{number}\:\:{of}\:\:{x}\:\in\:\left[\mathrm{1},\:\mathrm{2016}\:\right]\:\:,\:\:{x}\:\in\:\mathbb{N} \\ $$$${which}\:\:{making}\:\:{the}\:\:{expression}\:\:\mathrm{4}{x}^{\mathrm{6}} \:+\:\:{x}^{\mathrm{3}} \:+\:\mathrm{5}\:\:\:{is}\:\:{divided}\:\:\:{by}\:\:\mathrm{11}\:. \\ $$ Answered by TheSupreme last updated on 25/Oct/21 $$\mathrm{4}{x}^{\mathrm{6}} +{x}^{\mathrm{3}}…

Given-a-b-c-nonnegative-numbers-which-satisfy-a-b-c-3-Prove-that-1-2ab-2-1-1-2bc-2-1-1-2ac-2-1-1-

Question Number 157598 by naka3546 last updated on 25/Oct/21 $${Given}\:\:{a},{b},{c}\:\:{nonnegative}\:\:{numbers}\:\:{which}\:\:{satisfy}\:\:\:{a}+{b}+{c}\:=\:\mathrm{3}. \\ $$$${Prove}\:\:{that}\:\: \\ $$$$\frac{\mathrm{1}}{\mathrm{2}{ab}^{\mathrm{2}} \:+\:\mathrm{1}}\:+\:\frac{\mathrm{1}}{\mathrm{2}{bc}^{\mathrm{2}} +\mathrm{1}}\:+\:\frac{\mathrm{1}}{\mathrm{2}{ac}^{\mathrm{2}} \:+\:\mathrm{1}}\:\geqslant\:\mathrm{1}\:. \\ $$ Answered by ghimisi last updated on…

suppose-the-ratio-of-Jim-to-Rohn-is-2-1-and-the-ratio-of-Rohn-to-Bill-is-3-4-how-do-i-find-for-the-ratio-of-Jim-to-Bill-

Question Number 157584 by MathsFan last updated on 24/Oct/21 $${suppose}\: \\ $$$${the}\:{ratio}\:{of}\:{Jim}\:{to}\:{Rohn}\:{is}\:\mathrm{2}:\mathrm{1} \\ $$$$\:{and}\:{the}\:{ratio}\:{of}\:{Rohn}\:{to}\:{Bill}\:{is} \\ $$$$\:\mathrm{3}:\mathrm{4},\:{how}\:{do}\:{i}\:{find}\:{for}\:{the}\:{ratio} \\ $$$${of}\:{Jim}\:{to}\:{Bill}…..??? \\ $$ Answered by peter frank last…

1-2002-4-2002-7-2002-2002-2002-Thank-you-so-much-

Question Number 157546 by naka3546 last updated on 24/Oct/21 $$\left(\underset{\mathrm{1}} {\overset{\mathrm{2002}} {\:}}\right)\:+\:\left(\underset{\mathrm{4}} {\overset{\mathrm{2002}} {\:}}\right)\:+\:\left(\underset{\mathrm{7}} {\overset{\mathrm{2002}} {\:}}\right)\:+\:\ldots+\:\left(\underset{\mathrm{2002}} {\overset{\mathrm{2002}} {\:}}\right)\:\:=\:? \\ $$$${Thank}\:\:{you}\:\:{so}\:\:{much}\:. \\ $$ Commented by mr…

Question-26438

Question Number 26438 by San Sophanethsan069 last updated on 25/Dec/17 Answered by mrW1 last updated on 25/Dec/17 $${A}=\mathrm{999}…\mathrm{9}\:\left({n}\:{digits}\:\mathrm{9}\right) \\ $$$${S}\left({A}\right)={sum}\:{of}\:{digits}\:{of}\:{A}=\mathrm{9}{n} \\ $$$${A}=\mathrm{10}^{{n}} −\mathrm{1} \\ $$$${A}^{\mathrm{2}}…

Find-the-equation-of-the-tangents-drawn-from-the-point-1-3-to-the-parabola-y-2-16x-

Question Number 157487 by ZiYangLee last updated on 23/Oct/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{the}\:\mathrm{tangents}\:\mathrm{drawn} \\ $$$$\mathrm{from}\:\mathrm{the}\:\mathrm{point}\:\left(\mathrm{1},\mathrm{3}\right)\:\mathrm{to}\:\mathrm{the}\:\mathrm{parabola} \\ $$$${y}^{\mathrm{2}} =−\mathrm{16}{x}. \\ $$ Answered by mr W last updated on 23/Oct/21…