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what-is-the-first-three-smallest-positive-integer-that-leaves-a-reminder-of-1-when-divided-by-3-and-5-qnd-7-

Question Number 89668 by Mr.Panoply last updated on 18/Apr/20 $${what}\:{is}\:{the}\:{first}\:{three}\:{smallest}\:{positive}\: \\ $$$${integer}\:{that}\:{leaves}\:{a}\:{reminder}\:{of}\:\mathrm{1}.\:{when} \\ $$$${divided}\:{by}\:\mathrm{3}\:{and}\:\mathrm{5}\:{qnd}\:\mathrm{7}? \\ $$ Commented by mr W last updated on 18/Apr/20 $${lcm}\left(\mathrm{3},\mathrm{5},\mathrm{7}\right)=\mathrm{3}×\mathrm{5}×\mathrm{7}=\mathrm{105}…

an-atom-of-x-with-atomic-number-9-has-a-mass-of-18-with-an-abundsnce-of-19-a-mass-of-19-with-an-abundance-of-3-5-and-the-remainder-has-a-mass-of-20-determine-the-relative-mass-of-atom-x-

Question Number 155190 by joki last updated on 26/Sep/21 $$\mathrm{an}\:\mathrm{atom}\:\mathrm{of}\:\mathrm{x}\:\mathrm{with}\:\mathrm{atomic}\:\mathrm{number}\:\mathrm{9}\:\mathrm{has}\:\:\mathrm{a}\:\mathrm{mass}\:\mathrm{of} \\ $$$$\mathrm{18}\:\mathrm{with}\:\mathrm{an}\:\mathrm{abundsnce}\:\mathrm{of}\:\mathrm{19\%},\:\mathrm{a}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{19}\:\mathrm{with} \\ $$$$\mathrm{an}\:\mathrm{abundance}\:\mathrm{of}\:\mathrm{3}.\mathrm{5\%}\:\mathrm{and}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{has}\:\mathrm{a}\: \\ $$$$\mathrm{mass}\:\mathrm{of}\:\mathrm{20}.\:\mathrm{determine}\:\mathrm{the}\:\mathrm{relative}\:\mathrm{mass}\:\mathrm{of}\:\mathrm{atom}\:\mathrm{x}? \\ $$ Answered by physicstutes last updated on 26/Sep/21…

Question-89647

Question Number 89647 by otchereabdullai@gmail.com last updated on 18/Apr/20 Answered by mahdi last updated on 18/Apr/20 $$\frac{\mathrm{sinx}}{\mathrm{AC}}=\frac{\mathrm{sin}\left(\mathrm{120}−\mathrm{x}\right)}{\mathrm{AO}} \\ $$$$\frac{\mathrm{sin10}}{\mathrm{AO}}=\frac{\mathrm{sin150}}{\mathrm{AB}} \\ $$$$\Rightarrow\frac{\mathrm{sinx}}{\mathrm{AC}}=\frac{\mathrm{sin}\left(\mathrm{120}−\mathrm{x}\right)}{\mathrm{AB}\frac{\mathrm{sin10}}{\mathrm{sin150}}}\:\:\:\overset{\mathrm{AC}=\mathrm{AB}} {\Rightarrow}\: \\ $$$$\frac{\mathrm{sinx}}{\mathrm{sin}\left(\mathrm{120}−\mathrm{x}\right)}=\frac{\mathrm{sin150}}{\mathrm{sin10}}\Rightarrow\mathrm{x}=\mathrm{100} \\…

Question-155165

Question Number 155165 by SANOGO last updated on 26/Sep/21 Answered by aleks041103 last updated on 26/Sep/21 $$\int_{\mathrm{0}} ^{\:{x}} \left({x}−{t}\right){f}'\left({t}\right){dt}=\int_{\mathrm{0}} ^{\:{x}} \left({x}−{t}\right){df}= \\ $$$$=\left({x}−{t}\right){f}\left({t}\right)\mid_{\mathrm{0}} ^{{x}} +\int_{\mathrm{0}}…