Question Number 154291 by joki last updated on 16/Sep/21 $$\mathrm{Among}\:\mathrm{the}\:\mathrm{integers}\:\mathrm{101}−\mathrm{400},\mathrm{how}\:\mathrm{many}\:\mathrm{numbers} \\ $$$$\mathrm{are}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{3}\:\mathrm{but}\:\mathrm{no}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{5}\:\mathrm{or}\:\mathrm{7} \\ $$ Answered by talminator2856791 last updated on 16/Sep/21 $$\: \\ $$$$\:\mathrm{102},\mathrm{105},…..,\mathrm{399} \\…
Question Number 23190 by ANTARES_VY last updated on 27/Oct/17 $$\underset{\boldsymbol{\mathrm{x}}\rightarrow\infty} {\boldsymbol{\mathrm{lim}}}\left(\frac{\boldsymbol{\mathrm{x}}−\mathrm{2}}{\mathrm{3}\boldsymbol{\mathrm{x}}+\mathrm{10}}\right)^{\mathrm{5}\boldsymbol{\mathrm{x}}} \\ $$ Commented by ANTARES_VY last updated on 27/Oct/17 $$\boldsymbol{\mathrm{calculate}} \\ $$ Answered by…
Question Number 154225 by ZiYangLee last updated on 15/Sep/21 $$\mathrm{In}\:\mathrm{the}\:\mathrm{expansion}\:\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}{x}\right)^{{n}} ,\:\mathrm{the}\:\mathrm{coefficient} \\ $$$$\mathrm{of}\:{x}^{{m}} \:\mathrm{is}\:\frac{\mathrm{5}}{\mathrm{4}}\:\mathrm{times}\:\mathrm{the}\:\mathrm{coefficient}\:\mathrm{of}\:{x}^{{m}+\mathrm{1}} . \\ $$$$\left.{a}\right)\:\mathrm{Show}\:\mathrm{that}\:\mathrm{5}{n}−\mathrm{13}{m}=\mathrm{8} \\ $$$$\left.{b}\right)\:\mathrm{If}\:{m}\:\mathrm{and}\:{n}\:\mathrm{are}\:\mathrm{positive}\:\mathrm{integers},\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\:\:\:\:{m}\leqslant{n},\:\mathrm{determine}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{values}\:\mathrm{of} \\ $$$$\:\:\:\:\:{m}\:\mathrm{and}\:{n}. \\ $$…
Question Number 154210 by Eric002 last updated on 15/Sep/21 Commented by Eric002 last updated on 15/Sep/21 $${the}\:{indentical}\:{circles}\:{of}\:{radius}\:{r},\:{inside} \\ $$$${a}\:{triangle},\:{each}\:{of}\:{them}\:{tangent}\:{to}\:{tow}\: \\ $$$${sides}\:{of}\:{the}\:{triangle}. \\ $$$${prove}:\frac{\mathrm{1}}{{r}}=\frac{\mathrm{1}}{{R}_{{in}} }+\frac{\mathrm{1}}{{R}_{{out}} }…
Question Number 88663 by mary_ last updated on 12/Apr/20 $$\begin{cases}{{log}_{\mathrm{2}} {x}+{log}_{\mathrm{4}} {y}=\mathrm{4}}\\{{x}.{y}=\mathrm{8}}\end{cases} \\ $$ Answered by jagoll last updated on 28/Apr/20 $$\mathrm{log}_{\mathrm{2}} \left(\mathrm{x}\right)+\frac{\mathrm{1}}{\mathrm{2}}\mathrm{log}_{\mathrm{2}} \left(\frac{\mathrm{8}}{\mathrm{x}}\right)\:=\mathrm{4} \\…
Question Number 23103 by Physics lover last updated on 26/Oct/17 $${Can}\:{anyone}\:{please}\:{solve}\:{question} \\ $$$${number}\:\mathrm{23057} \\ $$ Commented by ajfour last updated on 26/Oct/17 $${x}=\mathrm{9} \\ $$…
Question Number 88607 by M±th+et£s last updated on 11/Apr/20 $${chose}\:{the}\:{right}\:{option} \\ $$$$\left.\mathrm{1}\right)\:{if}\:{x},{y}\:\in{Q}^{{c}} \:{and}\:{x}<{y}\:\:{then}\:\exists{a}\in{Q} \\ $$$${such}\:{that}\:{x}<{a}<{y}\:{in}\:{case}\:{we}\:{say}\:{that} \\ $$$$\left.{a}\right){Q}^{{c}} \:{is}\:{an}\:{ordered}\:{field} \\ $$$$\left.{b}\right){Q}\:{dense}\:{inQ}^{{c}} \\ $$$$\left.{c}\right){not}\:{ordered}\:{field} \\ $$$$ \\…
Question Number 154131 by Rankut last updated on 14/Sep/21 $$ \\ $$A long distance runner runs 14km 30°north of east, 7km 60° north of west,…
Question Number 23059 by Physics lover last updated on 25/Oct/17 Commented by Physics lover last updated on 25/Oct/17 $${In}\:{the}\:{arrangement}\:{shown}\:{here}\: \\ $$$${friction}\:{between}\:{the}\:{spool}\: \\ $$$$\left({of}\:{mass}\:{m},\:{moment}\:{of}\:{inertia}\:{I}\:\right) \\ $$$${and}\:{the}\:{plank}\:\left({of}\:{mass}\:{M}\right)…
Question Number 23057 by Physics lover last updated on 25/Oct/17 Commented by Physics lover last updated on 25/Oct/17 $${question}\:{number}\:\mathrm{8}\:{please}. \\ $$ Terms of Service Privacy…