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Question Number 179992 by nadovic last updated on 08/Feb/23 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{absolute}\:\mathrm{error}\:\mathrm{for}\:\mathrm{the} \\ $$$$\mathrm{measurements}: \\ $$$$\:\:\:\:\left({a}\right)\:\mathrm{250}{m}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{10}{m}. \\ $$$$\:\:\:\:\left({b}\right)\:\mathrm{143}{m}\:\mathrm{to}\:\mathrm{three}\:\mathrm{sig}.\:\mathrm{figures}. \\ $$$$\:\:\:\:\left({c}\right)\:\:\mathrm{41500}{cm}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{100}. \\ $$ Terms of Service Privacy Policy…
Question Number 179955 by Shrinava last updated on 04/Nov/22 Answered by aleks041103 last updated on 04/Nov/22 $$\left({K},+\right)\ncong\left({K}/\left\{{O}_{\mathrm{2}} \right\},\:\centerdot\right)\Rightarrow \\ $$$$\nexists{s}:{K}\rightarrow{K}/\left\{{O}_{\mathrm{2}} \right\}:{s}\left({x}+{y}\right)={s}\left({x}\right)\centerdot{s}\left({y}\right)\wedge{s}−{bijective} \\ $$$${denote}\:\begin{pmatrix}{{a}}&{{b}}\\{−{b}}&{{a}}\end{pmatrix}\::=\left({a},{b}\right) \\ $$$${then}\:\left({a},{b}\right)+\left({c},{d}\right)=\left({a}+{c},{b}+{d}\right)…
Question Number 114388 by ajfour last updated on 18/Sep/20 $${Developed}\:{the}\:{formula}\:{for}\:{the}\:{cubic} \\ $$$${equation}\:{when}\:{it}\:{has}\:{three}\:{real}\:{roots} \\ $$$${and}\:{Cardano}\:{is}\:{just}\:{not}\:{suitable}\:{as} \\ $$$${discriminant}\:{gets}\:{negative}.. \\ $$$$\:\:\:{Given}\:\:\:\:\boldsymbol{{x}}^{\mathrm{3}} −\boldsymbol{{bx}}−\boldsymbol{{c}}=\mathrm{0} \\ $$$$\:\:{with}\:\:\boldsymbol{{b}}>\mathrm{0}\:,\:\boldsymbol{{c}}>\mathrm{0} \\ $$$$\:\frac{\boldsymbol{{t}}}{\boldsymbol{{b}}}=\mathrm{1}+\frac{\mathrm{15}}{\mathrm{2}}\left(\frac{\boldsymbol{{c}}^{\mathrm{2}} }{\boldsymbol{{b}}^{\mathrm{3}} }\right)+\sqrt{\left(\frac{\boldsymbol{{c}}^{\mathrm{2}}…
Question Number 179900 by Shrinava last updated on 03/Nov/22 $$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\mathrm{f}\:=\:\mathrm{5x}^{\mathrm{4}} \:+\:\mathrm{35x}^{\mathrm{3}} \:+\:\mathrm{28x}^{\mathrm{2}} \:+\:\mathrm{14x}\:+\:\mathrm{7}\:\:\mathrm{is}\:\mathrm{irreducible}\:\mathrm{in}\:\:\mathrm{Q}\left[\mathrm{x}\right] \\ $$ Answered by floor(10²Eta[1]) last updated on 04/Nov/22 $$\mathrm{we}\:\mathrm{want}\:\mathrm{a}\:\mathrm{prime}\:\mathrm{p}\:\mathrm{such}\:\mathrm{that}…
Question Number 179890 by mr W last updated on 03/Nov/22 $${p}\left({x}\right)=\left(\mathrm{1}−{x}\right)\left(\mathrm{1}+\mathrm{2}{x}\right)\left(\mathrm{1}−\mathrm{3}{x}\right)….\left(\mathrm{1}−\mathrm{15}{x}\right) \\ $$$$ \\ $$$${find}\:{the}\:{coefficient}\:{of}\:{the}\:{x}^{\mathrm{3}} \:{term} \\ $$$${in}\:{the}\:{expansion}. \\ $$ Commented by mr W last…
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Question Number 48795 by rahul 19 last updated on 28/Nov/18 $${Find}\:{the}\:{sum}: \\ $$$$\:^{\mathrm{30}} {C}_{\mathrm{0}} .\mathrm{5}^{\mathrm{100}} −^{\mathrm{30}} {C}_{\mathrm{1}} .\mathrm{5}^{\mathrm{98}} .\mathrm{3}^{\mathrm{3}} +^{\mathrm{30}} {C}_{\mathrm{2}} .\mathrm{5}^{\mathrm{96}} .\mathrm{3}^{\mathrm{6}} −\:…=? \\…
Question Number 179819 by caquito last updated on 02/Nov/22 $${x}+{y}+{z}=\mathrm{2} \\ $$$${x}+\mathrm{2}{y}−{z}=\mathrm{4} \\ $$$$\mathrm{2}{x}+{y}−\mathrm{2}{z}=\mathrm{2} \\ $$$$ \\ $$ Answered by manxsol last updated on 03/Nov/22…
Question Number 179781 by Ari last updated on 02/Nov/22 Commented by Ari last updated on 02/Nov/22 who can solve it? Commented by MJS_new last updated on 02/Nov/22 $$\mathrm{who}\:\mathrm{cannot}\:\mathrm{solve}\:\mathrm{it}?…