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Question-125673

Question Number 125673 by aurpeyz last updated on 12/Dec/20 Answered by bramlexs22 last updated on 13/Dec/20 $$\left(\mathrm{1}\right){a}+{ar}+{ar}^{\mathrm{2}} \:=\:{p}\:;{a}\left(\mathrm{1}+{r}+{r}^{\mathrm{2}} \right)={p} \\ $$$$\left(\mathrm{2}\right){a}^{\mathrm{2}} +{a}^{\mathrm{2}} {r}^{\mathrm{2}} +{a}^{\mathrm{2}} {r}^{\mathrm{4}}…

N-lt-10200-N-has-five-digits-N-22-23-and-N-5-17-Determinate-the-integer-N-

Question Number 125670 by mathocean1 last updated on 12/Dec/20 $${N}<\mathrm{10200}\:,\:{N}\:{has}\:{five}\:{digits}. \\ $$$${N}\equiv\mathrm{22}\left[\mathrm{23}\right]\:{and}\:{N}\equiv\mathrm{5}\left[\mathrm{17}\right]. \\ $$$${Determinate}\:{the}\:{integer}\:{N}. \\ $$ Answered by floor(10²Eta[1]) last updated on 12/Dec/20 $$\mathrm{10000}\leqslant\mathrm{N}<\mathrm{10200} \\…

Question-60135

Question Number 60135 by Tawa1 last updated on 18/May/19 Answered by tanmay last updated on 18/May/19 $${q}_{\mathrm{1}} =\mathrm{8}.\mathrm{5}×\mathrm{10}^{−\mathrm{6}} {C}\:{at}\:{x}_{\mathrm{1}} =\mathrm{3}.\mathrm{0}×\mathrm{10}^{−\mathrm{2}} {meter} \\ $$$${q}_{\mathrm{2}} =−\mathrm{21}×\mathrm{10}^{−\mathrm{6}} {C}\:{at}\:{x}_{\mathrm{2}}…

Question-60133

Question Number 60133 by ajfour last updated on 18/May/19 Commented by ajfour last updated on 18/May/19 $$\mathrm{Find}\:\mathrm{angle}\:\alpha\:\mathrm{when}\:\mathrm{m}\:\mathrm{separates} \\ $$$$\mathrm{from}\:\mathrm{M}.\:\left(\mathrm{m}\:\mathrm{slides}\:\mathrm{down}\:\:\mathrm{from}\:\mathrm{top}\right. \\ $$$$\mathrm{of}\:\mathrm{M}\:,\:\mathrm{motion}\:\mathrm{being}\:\mathrm{initiated} \\ $$$$\left.\mathrm{somehow}\:\mathrm{with}\:\mathrm{a}\:\mathrm{slight}\:\mathrm{impulse}\right). \\ $$…

we-are-in-C-solve-z-5-1-show-that-the-sum-of-its-solutions-is-null-the-deduct-that-cos-2pi-5-cos-4pi-5-1-2-

Question Number 125669 by mathocean1 last updated on 12/Dec/20 $${we}\:{are}\:{in}\:\mathbb{C}. \\ $$$${solve}\:{z}^{\mathrm{5}} =\mathrm{1}. \\ $$$${show}\:{that}\:{the}\:{sum}\:{of}\:{its}\:{solutions}\:{is} \\ $$$${null}\:{the}\:{deduct}\:{that}\:{cos}\left(\frac{\mathrm{2}\pi}{\mathrm{5}}\right)+{cos}\left(\frac{\mathrm{4}\pi}{\mathrm{5}}\right)=−\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Answered by mr W last updated…