Question Number 178572 by Spillover last updated on 18/Oct/22 $$\mathrm{Show}\:\mathrm{that}\: \\ $$$$\sim\left[\mathrm{p}\vee\left(\sim\mathrm{p}\wedge\mathrm{q}\right)\right]\:\mathrm{and}\:\left[\sim\mathrm{p}\wedge\sim\mathrm{q}\right]\:\:\mathrm{are} \\ $$$$\mathrm{logically}\:\mathrm{equivalent} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 178573 by Spillover last updated on 18/Oct/22 $$\mathrm{Use}\:\mathrm{the}\:\mathrm{law}\:\mathrm{of}\:\mathrm{algebra}\:\mathrm{of}\:\mathrm{preposition} \\ $$$$\mathrm{to}\:\mathrm{verify}\:\mathrm{the}\:\mathrm{validity}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{argument} \\ $$$$\mathrm{If}\:\mathrm{I}\:\mathrm{study},\mathrm{then}\:\mathrm{I}\:\mathrm{will}\:\mathrm{not}\:\mathrm{fail}\:\mathrm{the}\:\mathrm{examination}. \\ $$$$\mathrm{If}\:\mathrm{I}\:\mathrm{do}\:\mathrm{not}\:\mathrm{play}\:\mathrm{football},\mathrm{then}\:\mathrm{I}\:\mathrm{will}\:\mathrm{study}. \\ $$$$\mathrm{But}\:\mathrm{I}\:\mathrm{fail}\:\mathrm{the}\:\mathrm{examination}. \\ $$$$\mathrm{Therefore},\mathrm{I}\:\mathrm{played}\:\mathrm{football} \\ $$ Answered by Spillover…
Question Number 178568 by Spillover last updated on 18/Oct/22 $$\mathrm{Given}\:\mathrm{the}\:\mathrm{preposition} \\ $$$$\left[\left(\mathrm{p}\rightarrow\mathrm{q}\right)\wedge\left(\mathrm{q}\rightarrow\mathrm{r}\right)\right]\rightarrow\left(\mathrm{p}\rightarrow\mathrm{r}\right) \\ $$$$\mathrm{Write}\:\mathrm{down} \\ $$$$\left(\mathrm{a}\right)\mathrm{Converse} \\ $$$$\left(\mathrm{b}\right)\mathrm{Inverse} \\ $$$$\left(\mathrm{c}\right)\mathrm{Contrapositive} \\ $$ Answered by cortano1…
Question Number 178553 by Acem last updated on 18/Oct/22 $${Solve}\:\mathrm{1}{st}:\:\mathrm{3}{x}^{\mathrm{2}} −\mathrm{2}{x}−\mathrm{11}>\:\mathrm{0} \\ $$$$\:\mathrm{2}{nd}:\:{x}^{\mathrm{4}} +\:\mathrm{4}{x}^{\mathrm{3}} −\:\mathrm{12}{x}^{\mathrm{2}} \leqslant\:\mathrm{0} \\ $$ Answered by a.lgnaoui last updated on 18/Oct/22…
Question Number 178543 by Acem last updated on 17/Oct/22 $${Find}\:{n}\:,\:{P}_{{n}+\mathrm{2}} ^{\:\mathrm{4}} =\:\mathrm{14}{P}_{{n}} ^{\:\mathrm{3}} \\ $$ Answered by Ar Brandon last updated on 18/Oct/22 $$\overset{{n}+\mathrm{2}} {\:}{P}_{\mathrm{4}}…
Question Number 178533 by Acem last updated on 17/Oct/22 $${Find}\:{values}\:{of}\:{n}\:{for}\:{the}\:\left({x}^{\mathrm{2}} +\frac{\mathrm{1}}{{x}}\right)^{{n}} {can}\:{be}\:{contain} \\ $$$$\:{a}\:{constant}\:{term} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 112992 by Khanacademy last updated on 10/Sep/20 Commented by Khanacademy last updated on 10/Sep/20 $$\left(\boldsymbol{{x}}:\boldsymbol{{y}}\right)=? \\ $$ Answered by bobhans last updated on…
Question Number 178530 by Acem last updated on 17/Oct/22 $${Conclude}\:{the}\:{value}\:{of}\:{the}\:{sum}: \\ $$$${S}_{{n}} =\begin{pmatrix}{{n}}\\{\mathrm{0}}\end{pmatrix}\:+\:\mathrm{2}\begin{pmatrix}{{n}}\\{\mathrm{1}}\end{pmatrix}+…+\:\mathrm{2}^{{n}} \begin{pmatrix}{{n}}\\{{n}}\end{pmatrix}\: \\ $$$$\:{with}\:{help}\:{of}\:\left(\mathrm{1}+\mathrm{2}{x}\right)^{{n}} \\ $$ Answered by Ar Brandon last updated on…
Question Number 178525 by infinityaction last updated on 17/Oct/22 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 178522 by peter frank last updated on 17/Oct/22 Answered by MJS_new last updated on 17/Oct/22 $${y}=\mathrm{e}^{{x}} >\mathrm{0} \\ $$$$\mathrm{4}{y}^{\mathrm{4}} +{y}^{\mathrm{3}} −\mathrm{6}{y}^{\mathrm{2}} +{y}+\mathrm{1}=\mathrm{0} \\…