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Question-77390

Question Number 77390 by Maclaurin Stickker last updated on 05/Jan/20 Commented by Maclaurin Stickker last updated on 05/Jan/20 $${find}\:{the}\:{radius}\:{of}\:{the}\:{shaded}\: \\ $$$${circumference}\:{as}\:{a}\:{function}\:{of} \\ $$$${side}\:{a}\:{of}\:{the}\:{square}. \\ $$…

A-student-did-not-notice-that-the-multiplication-sign-between-two-7-digits-numbers-amd-wrote-one-14-digits-number-which-turned-out-to-be-3-times-the-would-be-product-What-are-the-initial-numbers-

Question Number 142920 by PRITHWISH SEN 2 last updated on 07/Jun/21 $$\mathrm{A}\:\mathrm{student}\:\mathrm{did}\:\mathrm{not}\:\mathrm{notice}\:\mathrm{that}\:\mathrm{the}\:\mathrm{multiplication} \\ $$$$\mathrm{sign}\:\mathrm{between}\:\mathrm{two}\:\mathrm{7}−\mathrm{digits}\:\mathrm{numbers}\:\mathrm{amd}\:\mathrm{wrote} \\ $$$$\mathrm{one}\:\mathrm{14}−\mathrm{digits}\:\mathrm{number}\:\mathrm{which}\:\mathrm{turned}\:\mathrm{out}\:\mathrm{to}\:\mathrm{be} \\ $$$$\mathrm{3}\:\mathrm{times}\:\mathrm{the}\:\mathrm{would}\:\mathrm{be}\:\mathrm{product}.\:\mathrm{What}\:\mathrm{are}\:\mathrm{the}\:\mathrm{initial} \\ $$$$\mathrm{numbers}\:? \\ $$ Commented by PRITHWISH…

2-2-1-2-2-1-3-2-1-3-2-1-4-2-1-4-2-1-20-2-1-20-2-1-

Question Number 11838 by Peter last updated on 02/Apr/17 $$\frac{\mathrm{2}^{\mathrm{2}} +\mathrm{1}}{\mathrm{2}^{\mathrm{2}} −\mathrm{1}}\:+\:\frac{\mathrm{3}^{\mathrm{2}} +\mathrm{1}}{\mathrm{3}^{\mathrm{2}} −\mathrm{1}}\:+\:\frac{\mathrm{4}^{\mathrm{2}} +\mathrm{1}}{\mathrm{4}^{\mathrm{2}} −\mathrm{1}}\:+\:….\:+\:\frac{\mathrm{20}^{\mathrm{2}} +\mathrm{1}}{\mathrm{20}^{\mathrm{2}} −\mathrm{1}}\:=\:….? \\ $$ Answered by ajfour last updated…

Prove-that-x-y-R-7x-2-6xy-2y-2-x-3-gt-0-

Question Number 11834 by Mr Chheang Chantria last updated on 02/Apr/17 $$\boldsymbol{{Prove}}\:\boldsymbol{{that}}\:\forall\boldsymbol{{x}},\boldsymbol{{y}}\in\boldsymbol{{R}} \\ $$$$\Rightarrow\mathrm{7}\boldsymbol{{x}}^{\mathrm{2}} −\mathrm{6}\boldsymbol{{xy}}+\mathrm{2}\boldsymbol{{y}}^{\mathrm{2}} +\boldsymbol{{x}}+\mathrm{3}\:>\:\mathrm{0} \\ $$ Answered by mrW1 last updated on 02/Apr/17…

Question-142882

Question Number 142882 by mohammad17 last updated on 06/Jun/21 Commented by mr W last updated on 06/Jun/21 $${how}\:{deep}\:{is}\:{the}\:{lake}? \\ $$$${what}\:{are}\:{the}\:{unites}\:{of}\:{a}\:{and}\:{v}\:{in} \\ $$$${a}=\mathrm{10}−\mathrm{0}.\mathrm{01}{v}^{\mathrm{2}} \\ $$ Answered…