Category: Arithmetic

Question Number 181039 by depressiveshrek last updated on 20/Nov/22 $$Provethatforall{a}^{2}divisiblebyb,$$$$aisalsodivisiblebyb$$$$foralla,b\in \mathbb{N}$$ Commented by mr W last updated on 20/Nov/22…

Question Number 49680 by peter frank last updated on 09/Dec/18 Answered by math1967 last updated on 09/Dec/18 $$Totalsurfacearea=2\times 6\times \frac{\sqrt{3}}{4}\times {20}^2+6\times 20\times 15$$$$=3878.46{cm}^2\left(aprox\right)$$$${Volume}=\frac{\sqrt{\mathrm{3}}}{\mathrm{4}}×\mathrm{6}×\mathrm{20}^{\mathrm{2}} ×\mathrm{15}=\mathrm{233826}.\mathrm{85}{cm}^{\mathrm{3}}…

Question Number 180695 by depressiveshrek last updated on 15/Nov/22 $$Findallk,m,n\in \mathbb{N}suchthat$$$$k!+3^m=3^n$$ Answered by nikif99 last updated on 16/Nov/22 $$Tryingananswer.$$$${must}\:{be}\:{m}<{n}\:{and}\:\mathrm{3}^{{n}}…

Question Number 180554 by cherokeesay last updated on 13/Nov/22 Answered by Rasheed.Sindhi last updated on 13/Nov/22 $$f\left(x\right)=2x-5,g\left(x\right)=x+1$$$${\left(f\left(g^{-1}\right)\right)}^{-1}\left(x\right)=?$$$$\bullet{g}^{−\mathrm{1}} \left({x}\right)=? \…

Question Number 180498 by Spillover last updated on 12/Nov/22 Commented by Frix last updated on 13/Nov/22 $$\mathrm{more}\mathrm{challenging}\mathrm{extra}\mathrm{work}:$$$$\omega=\frac{\left(\frac{\mathrm{log}_{{a}^{\mathrm{3}} +{b}^{\mathrm{4}} } ^{\mathrm{2}} \:{z}}{\mathrm{25}}−{R}^{\mathrm{2}} \right)^{\frac{\mathrm{1}}{\mathrm{3}}} \pm\left(\left(\left(\frac{\mathrm{log}_{{a}^{\mathrm{3}}…