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a-plant-grow-up-1-67cm-in-the-first-week-after-that-it-grow-up-4-grow-up-more-than-the-first-week-every-week-how-much-will-grow-up-in-11th-week-

Question Number 192689 by sciencestudentW last updated on 24/May/23 $${a}\:{plant}\:{grow}\:{up}\:\mathrm{1}.\mathrm{67}{cm}\:{in}\:{the}\:{first}\:{week} \\ $$$${after}\:{that}\:{it}\:{grow}\:{up}\:\mathrm{4\%}\:{grow}\:{up}\:{more} \\ $$$${than}\:{the}\:{first}\:{week}\:{every}\:{week},\:{how}\:{much} \\ $$$${will}\:{grow}\:{up}\:{in}\:\mathrm{11}{th}\:{week}? \\ $$ Commented by sciencestudentW last updated on 24/May/23…

knowing-that-7-3k-1-7-mod-9-k-N-show-that-2005-2005-7-mod-9-

Question Number 127132 by mathocean1 last updated on 27/Dec/20 $${knowing}\:{that}\:\mathrm{7}^{\mathrm{3}{k}+\mathrm{1}} \equiv\mathrm{7}\left[{mod}\:\mathrm{9}\right]\:;{k}\:\in\:\mathbb{N}. \\ $$$${show}\:{that}\:\mathrm{2005}^{\mathrm{2005}} \equiv\mathrm{7}\left[{mod}\:\mathrm{9}\right] \\ $$ Answered by JDamian last updated on 27/Dec/20 $$\mathrm{2005}\equiv\mathrm{7}\:{mod}\:\mathrm{9} \\…

Question-127109

Question Number 127109 by mohammad17 last updated on 26/Dec/20 Answered by Ar Brandon last updated on 27/Dec/20 $$\begin{cases}{\mathrm{x}=\mathrm{rcos}\theta}\\{\mathrm{y}=\mathrm{rsin}\theta}\end{cases} \\ $$$${l}=\underset{\left(\mathrm{x},\mathrm{y}\right)\rightarrow\left(\mathrm{0},\mathrm{0}\right)} {\mathrm{lim}ln}\left(\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} }\right)…

cos36-cos72-

Question Number 192624 by sciencestudentW last updated on 23/May/23 $${cos}\mathrm{36}−{cos}\mathrm{72}=? \\ $$ Answered by som(math1967) last updated on 23/May/23 $$\mathrm{2}{sin}\mathrm{54}{sin}\mathrm{18} \\ $$$$=\mathrm{2}×\frac{\sqrt{\mathrm{5}}+\mathrm{1}}{\mathrm{4}}×\frac{\sqrt{\mathrm{5}}−\mathrm{1}}{\mathrm{4}} \\ $$$$=\mathrm{2}×\frac{\mathrm{5}−\mathrm{1}}{\mathrm{16}}=\frac{\mathrm{1}}{\mathrm{2}} \\…