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Question-9204

Question Number 9204 by tawakalitu last updated on 23/Nov/16 Answered by mrW last updated on 23/Nov/16 $$\mathrm{300}×\mathrm{9}.\mathrm{81}×\mathrm{20}/\mathrm{60}=\mathrm{981}\:\mathrm{Nm}/\mathrm{s} \\ $$$$\mathrm{The}\:\mathrm{power}\:\mathrm{rating}\:\mathrm{of}\:\mathrm{the}\:\mathrm{pump}: \\ $$$$\mathrm{981}/\mathrm{0}.\mathrm{80}=\mathrm{1226}\:\mathrm{Watt} \\ $$$$\mathrm{The}\:\mathrm{rate}\:\mathrm{of}\:\mathrm{loss}\:\mathrm{of}\:\mathrm{energy}\:\mathrm{is}\:\mathrm{20\%}. \\ $$…

2-x-1-5x-x-2-4-x-24-

Question Number 140273 by liberty last updated on 06/May/21 $$\mathrm{2}\sqrt{\mathrm{x}−\mathrm{1}}\:+\mathrm{5x}\:=\:\sqrt{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{4}\right)\left(\mathrm{x}+\mathrm{24}\right)} \\ $$ Answered by MJS_new last updated on 06/May/21 $${x}=\mathrm{5} \\ $$$$\mathrm{I}\:\mathrm{saw}\:\mathrm{that}\:\left(\mathrm{5}^{\mathrm{2}} +\mathrm{4}\right)\left(\mathrm{5}+\mathrm{24}\right)=\mathrm{29}^{\mathrm{2}} \\…

The-position-of-a-point-A-is-41-N-18-E-point-B-is-8000-km-due-west-of-A-Find-the-longitude-of-B-to-the-nearest-degree-

Question Number 9203 by tawakalitu last updated on 23/Nov/16 $$\mathrm{The}\:\mathrm{position}\:\mathrm{of}\:\mathrm{a}\:\mathrm{point}\:\mathrm{A}\:\mathrm{is}\:\left(\mathrm{41}°\mathrm{N},\:\mathrm{18}°\mathrm{E}\right) \\ $$$$\mathrm{point}\:\mathrm{B}\:\mathrm{is}\:\mathrm{8000}\:\mathrm{km}\:\mathrm{due}\:\mathrm{west}\:\mathrm{of}\:\mathrm{A}.\:\mathrm{Find}\:\mathrm{the} \\ $$$$\mathrm{longitude}\:\mathrm{of}\:\mathrm{B}\:\mathrm{to}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{degree}. \\ $$ Answered by mrW last updated on 23/Nov/16 $$\mathrm{The}\:\mathrm{radius}\:\mathrm{of}\:\mathrm{the}\:\mathrm{Earth}\:\mathrm{is}\:\mathrm{roughly} \\…

If-a-b-c-5-1-a-1-b-1-c-1-5-what-is-the-greatest-value-of-a-3-b-3-c-3-

Question Number 140275 by liberty last updated on 06/May/21 $$\mathrm{If}\:\begin{cases}{\mathrm{a}+\mathrm{b}+\mathrm{c}\:=\:\mathrm{5}}\\{\frac{\mathrm{1}}{\mathrm{a}}+\frac{\mathrm{1}}{\mathrm{b}}+\frac{\mathrm{1}}{\mathrm{c}}=\frac{\mathrm{1}}{\mathrm{5}}}\end{cases} \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{greatest}\:\mathrm{value}\:\mathrm{of}\: \\ $$$$\mathrm{a}^{\mathrm{3}} +\mathrm{b}^{\mathrm{3}} +\mathrm{c}^{\mathrm{3}} \:? \\ $$ Answered by Ar Brandon last updated…

x-dx-

Question Number 9201 by geovane10math last updated on 22/Nov/16 $$\int{x}!\:{dx}\:=\:? \\ $$$$ \\ $$ Commented by FilupSmith last updated on 23/Nov/16 $$\Gamma\left({x}\right)=\left({x}−\mathrm{1}\right)! \\ $$$$\psi\left({x}\right)=\frac{\Gamma'\left({x}\right)}{\Gamma\left({x}\right)} \\…

If-r-2-x-ea-2-y-2-and-s-2-x-ea-2-y-2-and-r-s-2a-Prove-that-r-a-ex-s-a-ex-and-that-x-2-1-e-2-y-2-a-2-1-e-2-

Question Number 9199 by tawakalitu last updated on 22/Nov/16 $$\mathrm{If}\:\:\mathrm{r}^{\mathrm{2}} \:=\:\left(\mathrm{x}\:+\:\mathrm{ea}\right)^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \:\mathrm{and}\:\mathrm{s}^{\mathrm{2}} \:=\:\left(\mathrm{x}\:−\:\mathrm{ea}\right)^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \\ $$$$\mathrm{and}\:\mathrm{r}\:+\:\mathrm{s}\:=\:\mathrm{2a},\:\mathrm{Prove}\:\mathrm{that}: \\ $$$$\mathrm{r}\:=\:\mathrm{a}\:+\:\mathrm{ex},\:\:\mathrm{s}\:=\:\mathrm{a}\:−\:\mathrm{ex},\:\mathrm{and}\:\mathrm{that}, \\ $$$$\mathrm{x}^{\mathrm{2}} \left(\mathrm{1}\:−\:\mathrm{e}^{\mathrm{2}} \right)\:+\:\mathrm{y}^{\mathrm{2}} \:=\:\mathrm{a}^{\mathrm{2}} \left(\mathrm{1}\:−\:\mathrm{e}^{\mathrm{2}}…

Can-I-copy-a-post-or-a-part-of-it-into-the-editor-or-can-I-save-a-post-so-that-I-can-edit-it-later-

Question Number 9198 by mrW last updated on 22/Nov/16 $$\mathrm{Can}\:\mathrm{I}\:\mathrm{copy}\:\mathrm{a}\:\mathrm{post}\:\mathrm{or}\:\mathrm{a}\:\mathrm{part}\:\mathrm{of}\:\mathrm{it} \\ $$$$\mathrm{into}\:\mathrm{the}\:\mathrm{editor}?\:\mathrm{or}\:\mathrm{can}\:\mathrm{I}\:\mathrm{save}\:\mathrm{a}\:\mathrm{post} \\ $$$$\mathrm{so}\:\mathrm{that}\:\mathrm{I}\:\mathrm{can}\:\mathrm{edit}\:\mathrm{it}\:\mathrm{later}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

The-number-of-common-roots-of-the-equations-x-5-x-3-x-2-1-0-and-x-4-1-0-is-

Question Number 140271 by EnterUsername last updated on 06/May/21 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{common}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equations} \\ $$$$\mathrm{x}^{\mathrm{5}} −\mathrm{x}^{\mathrm{3}} +\mathrm{x}^{\mathrm{2}} −\mathrm{1}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}^{\mathrm{4}} −\mathrm{1}=\mathrm{0}\:\mathrm{is}\:\_\_\_\_. \\ $$ Answered by liberty last updated on 06/May/21…

If-x-3-2-y-4-2-25-what-maximum-and-minimum-value-of-7x-8y-

Question Number 140270 by liberty last updated on 06/May/21 $$\mathrm{If}\:\left(\mathrm{x}−\mathrm{3}\right)^{\mathrm{2}} +\left(\mathrm{y}−\mathrm{4}\right)^{\mathrm{2}} \:=\:\mathrm{25}\:, \\ $$$$\mathrm{what}\:\mathrm{maximum}\:\mathrm{and}\:\mathrm{minimum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\mathrm{7x}+\mathrm{8y}\:? \\ $$ Answered by EDWIN88 last updated on 06/May/21…