Question Number 78652 by peter frank last updated on 19/Jan/20 Answered by mr W last updated on 08/Feb/20 $${three}\:{vectors}\:{are}\:{non}−{coplanar}\:{if} \\ $$$${and}\:{only}\:{if}\:{their}\:{scalar}\:{triple}\:{product} \\ $$$${is}\:{not}\:{equal}\:\mathrm{0}. \\ $$$$…
Question Number 13075 by Joel577 last updated on 13/May/17 $${S}\left({x}\right)\:\mathrm{is}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{49}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{AP} \\ $$$$\mathrm{The}\:\mathrm{first}\:\mathrm{term}\:\mathrm{is}\:\frac{\mathrm{1}}{\mathrm{2}}{x}^{\mathrm{3}} \:\mathrm{and}\:\mathrm{the}\:\mathrm{difference} \\ $$$$\mathrm{is}\:\left(\mathrm{7}\:−\:{x}\right) \\ $$$$\mathrm{If}\:{S}\left({x}\right)\:\mathrm{maximum},\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{10}^{\mathrm{th}} \:\mathrm{term}\:\mathrm{is}\:… \\ $$ Commented by ajfour last updated…
Question Number 65959 by ajfour last updated on 06/Aug/19 $${x}^{\mathrm{5}} +{ax}^{\mathrm{3}} +{bx}^{\mathrm{2}} +{cx}+{d}=\mathrm{0} \\ $$$$\left({x}^{\mathrm{2}} +{px}+{q}\right)\left({x}^{\mathrm{3}} +{rx}^{\mathrm{2}} +{sx}+{t}\right)=\mathrm{0} \\ $$$${then}\:{elimating}\:{r},{s},{t}\: \\ $$$$\:{pq}\left({p}^{\mathrm{2}} +{a}\right)+{d}={q}\left({b}+\mathrm{2}{pq}\right) \\ $$$$\:{q}^{\mathrm{2}}…
Question Number 65914 by Learner last updated on 05/Aug/19 $${x}^{{n}} +{y}^{{n}} ={z}^{{n}} \:\: \\ $$$${make}\:{n}\:{the}\:{subject}\:{of}\:{formula} \\ $$$$ \\ $$$${please}\:{help} \\ $$ Terms of Service Privacy…
Question Number 142 by shahid.ansari56@yahoo.com last updated on 25/Jan/15 $$\mathrm{4665789}\boldsymbol{\div}\mathrm{567} \\ $$ Answered by 123456 last updated on 13/Dec/14 $$\frac{\mathrm{4665789}}{\mathrm{567}}=\frac{\mathrm{1555263}}{\mathrm{189}}=\frac{\mathrm{518421}}{\mathrm{63}}=\frac{\mathrm{172807}}{\mathrm{21}} \\ $$ Terms of Service…
Question Number 107 by shaleen last updated on 25/Jan/15 $${what}\:{is}\:{simple}\:{intrest}\:{of}\: \\ $$$${principal}\:{amt}=\mathrm{6754} \\ $$$${rate}\:\mathrm{9}.\mathrm{67\%} \\ $$$${time}\:\mathrm{21}\:{month}\frac{}{} \\ $$$${tirm}\:{annually} \\ $$$$ \\ $$$${t} \\ $$ Answered…
Question Number 95 by rajabhay last updated on 25/Jan/15 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{when}\:\mathrm{17}^{\mathrm{23}} \:\mathrm{is} \\ $$$$\mathrm{divided}\:\mathrm{by}\:\mathrm{16}? \\ $$ Answered by rajabhay last updated on 03/Dec/14 $$\mathrm{17}^{\mathrm{23}} =\left(\mathrm{16}+\mathrm{1}\right)^{\mathrm{23}} \\…
Six-friends-have-an-average-height-of-167-cm-Mike-with-height-162-cm-leaves-What-is-the-new-average-
Question Number 92 by michelle last updated on 25/Jan/15 $$\mathrm{Six}\:\mathrm{friends}\:\mathrm{have}\:\mathrm{an}\:\mathrm{average}\:\mathrm{height}\:\mathrm{of}\:\mathrm{167}\:\mathrm{cm} \\ $$$$\mathrm{Mike}\:\mathrm{with}\:\mathrm{height}\:\mathrm{162}\:\mathrm{cm}\:\mathrm{leaves}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{new}\:\mathrm{average}? \\ $$ Commented by Rasheed Soomro last updated on 09/Jun/16 $$\mathcal{T}{otal}\:{of}\:{six}\:{friends}'\:{heights}=\mathrm{167}×\mathrm{6}…
Question Number 56 by 9663288757 last updated on 25/Jan/15 $$\mathrm{45}+\mathrm{34} \\ $$ Answered by mathg last updated on 09/Nov/14 $$\mathrm{45}+\mathrm{34}=\mathrm{79} \\ $$ Terms of Service…
Question Number 12998 by 1630321995 last updated on 10/May/17 $$\frac{{a}\:\underset{−} {+}\sqrt{\mathrm{2}{a}.\mathrm{1}.\mathrm{1}}}{\mathrm{2}} \\ $$ Answered by Joel577 last updated on 10/May/17 $$\frac{{a}\:\pm\:\sqrt{\mathrm{2}{a}}}{\mathrm{2}}\: \\ $$ Terms of…