Category: Arithmetic

Question Number 117641 by bemath last updated on 13/Oct/20 $$\mathrm{find}\mathrm{the}\mathrm{solution}\sqrt{6-\mathrm{x}}>\mathrm{x}-4$$ Answered by Don08q last updated on 13/Oct/20 $$(6-x)>{(x-4)}^{2}or(6-x)<{(x-4)}^2$$$$\:\:\:\:\:\:{when}\:\:\mathrm{6}\:−\:{x}\:>\:{x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{16} \…

Question Number 51649 by byaw last updated on 29/Dec/18 $$\mathrm{It}\mathrm{takes}\mathrm{man}\mathrm{A}6\mathrm{days}\mathrm{to}\mathrm{a}\mathrm{piece}\mathrm{of}$$$$\mathrm{work}.\mathrm{It}\mathrm{takes}\mathrm{man}\mathrm{B}4\mathrm{days}\mathrm{to}\mathrm{do}$$$$\mathrm{the}\mathrm{same}\mathrm{piece}\mathrm{of}\mathrm{work}.\mathrm{How}\mathrm{many}$$$$\mathrm{days}\mathrm{will}\mathrm{A}\mathrm{and}\mathrm{B}\mathrm{take}\mathrm{to}\mathrm{do}\mathrm{the}$$$$\mathrm{same}\mathrm{piece}\mathrm{of}\mathrm{work}?$$ Answered by tanmay.chaudhury50@gmail.com last updated…

Question Number 117007 by TANMAY PANACEA last updated on 08/Oct/20 $$findunitdigitof$$$$1!+2!+3!+4!+5!+\dots .+100!$$ Answered by mindispower last updated on 08/Oct/20 $$ifn⩾5n!=0\left(10\right)$$$$\mathrm{1}+\mathrm{2}!+\mathrm{3}!+\mathrm{4}!=\mathrm{24}+\mathrm{6}+\mathrm{4}+\mathrm{1}=\mathrm{35}…

Question Number 51028 by gunawan last updated on 23/Dec/18 $$f\left(z\right)=\sqrt{r}{e}^{i\frac{\theta }{2}}$$$$f^{\prime }\left(z\right)=\dots ?$$ Answered by tanmay.chaudhury50@gmail.com last updated on 23/Dec/18 $${df}=\left(\frac{\partial{f}}{\partial{r}}\right)_{\theta} {dr}+\left(\frac{\partial{f}}{\partial\theta}\right)_{{r}} {d}\theta \…

Question Number 50890 by peter frank last updated on 21/Dec/18 $$Determinewhether$$$$thefollowingistrueforall$$$$valueofx$$$$0⩽\frac{{(x+1)}^2}{x^2+x+1}⩽\frac{4}{3}$$ Answered by MJS last…