Question Number 5088 by FilupSmith last updated on 11/Apr/16 $$\mathrm{According}\:\mathrm{to}\:\mathrm{wikipedia}, \\ $$$$\mathrm{the}\:\mathrm{cardonality}\:\mathrm{of}\:\mathrm{a}\:\mathrm{set}\:\mathrm{of}\:\mathrm{all}\:{finite} \\ $$$$\mathrm{subsets}\:\mathrm{of}\:\mathrm{any}\:\mathrm{countably}\:\mathrm{infinite}\:\mathrm{set} \\ $$$$\mathrm{is}\:\aleph_{\mathrm{0}} . \\ $$$$ \\ $$$$\mathrm{How}\:\mathrm{can}\:\mathrm{we}\:\mathrm{prove}\:\mathrm{this}? \\ $$ Terms of…
Question Number 136157 by BHOOPENDRA last updated on 19/Mar/21 Answered by mr W last updated on 19/Mar/21 $${v}_{\mathrm{1}} =\sqrt{{u}^{\mathrm{2}} +\mathrm{2}{gh}_{\mathrm{1}} } \\ $$$${v}_{\mathrm{2}} =\sqrt{\mathrm{2}{gh}_{\mathrm{2}} }…
Question Number 136156 by BHOOPENDRA last updated on 19/Mar/21 Answered by mr W last updated on 19/Mar/21 $${a}=\frac{\mathrm{1000}−\mathrm{15}×\mathrm{10}−\mathrm{25}×\mathrm{10}}{\mathrm{15}+\mathrm{25}}=\mathrm{15}\:{m}/{s}^{\mathrm{2}} \\ $$$${N}=\mathrm{15}×\mathrm{15}+\mathrm{15}×\mathrm{10}=\mathrm{375}\:{N} \\ $$ Terms of Service…
Question Number 70620 by peter frank last updated on 06/Oct/19 Commented by mr W last updated on 06/Oct/19 $${image}\:{is}\:{too}\:{bad}\:{to}\:{read}.\:{please}\:{type} \\ $$$${the}\:{question}. \\ $$ Commented by…
Question Number 5082 by sandhapadarbinda@gmail.com last updated on 10/Apr/16 $${a}^{\mathrm{2}} −{b}^{\mathrm{2}} =? \\ $$ Answered by FilupSmith last updated on 11/Apr/16 $$\mathrm{difference}\:\mathrm{of}\:\mathrm{two}\:\mathrm{squares} \\ $$$$ \\…
Question Number 5081 by FilupSmith last updated on 10/Apr/16 $$\mathrm{Can}\:\mathrm{we}\:\mathrm{prove}: \\ $$$${a}+{a}^{{a}} +{a}^{{a}^{{a}} } +…=\infty,\:\:{a}>\mathrm{1} \\ $$ Answered by Yozzii last updated on 11/Apr/16 $${Define}\:{the}\:{function}\:{f}\:{that}\:{maps}\:…
Question Number 136154 by sahiljakhar last updated on 19/Mar/21 Answered by sahiljakhar last updated on 19/Mar/21 $$\sqrt{{z}}\:=\:\frac{{z}}{{x}} \\ $$ Commented by mathmax by abdo last…
Question Number 70617 by Rio Michael last updated on 06/Oct/19 $${given}\:{that}\:\:\alpha\:{and}\:\beta\:{are}\:{roots}\:{of}\:{the}\:{equation}\:{x}^{\mathrm{2}} −\mathrm{5}{x}\:+\:\mathrm{4}\:=\mathrm{0}\: \\ $$$$\alpha>\mathrm{0}\:{and}\:\beta\:>\mathrm{0} \\ $$$${find}\:{an}\:{equation}\:{whose}\:{roots}\:{are}\:\sqrt{\alpha}\:{and}\:\sqrt{\beta}\: \\ $$$$ \\ $$$${how}\:{do}\:{i}\:{find}\:\:\sqrt{\alpha\:}\:+\:\sqrt{\beta}\: \\ $$ Answered by mr…
Question Number 5080 by FilupSmith last updated on 10/Apr/16 $$\boldsymbol{{N}}\:=\:\left\{\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:…\right\} \\ $$$$\mid\boldsymbol{{N}}\mid\:=\:\aleph_{\mathrm{0}} \\ $$$$ \\ $$$$\mathrm{I}\:\mathrm{know}\:\mathrm{that}: \\ $$$$\mathrm{if}\:\:\boldsymbol{{S}}\:=\:\left\{{k},\:\mathrm{0},\:\mathrm{1},\:\mathrm{2},\:…\right\} \\ $$$$\therefore\:\mid\boldsymbol{{S}}\mid\:=\:\mid\boldsymbol{{N}}\mid\:=\:\aleph_{\mathrm{0}} \\ $$$$\mathrm{Because}\:\mathrm{you}\:\mathrm{can}\:\mathrm{forever}\:\mathrm{pair}\:\mathrm{one}\:\mathrm{value} \\ $$$$\mathrm{from}\:\mathrm{one}\:\mathrm{set}\:\mathrm{to}\:\mathrm{another}. \\…
Question Number 136151 by bramlexs22 last updated on 19/Mar/21 $${If}\:{A}\:{and}\:{B}\:{toss}\:{n}+\mathrm{1}\:{and}\:{n}\:{fairs} \\ $$$${coins}\:{respectively},\:{what}\:{is}\:{the} \\ $$$${probability}\:{P}_{{n}} \:{that}\:{A}\:{gets}\:{more} \\ $$$${heads}\:{than}\:{B} \\ $$ Terms of Service Privacy Policy Contact:…