Menu Close

Author: Tinku Tara

In-an-A-P-the-sum-of-p-terms-is-q-and-the-sum-of-q-terms-is-p-Prove-that-the-sum-of-p-q-terms-is-p-q-

Question Number 21502 by 786786AM last updated on 25/Sep/17 $$\mathrm{In}\:\mathrm{an}\:\mathrm{A}.\mathrm{P},\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{p}\:\mathrm{terms}\:\mathrm{is}\:\mathrm{q}\:\mathrm{and}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{q}\:\mathrm{terms}\:\mathrm{is}\:\mathrm{p}. \\ $$$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\left(\mathrm{p}+\mathrm{q}\right)\:\mathrm{terms}\:\mathrm{is}\:−\left(\mathrm{p}+\mathrm{q}\right). \\ $$ Answered by $@ty@m last updated on 25/Sep/17 $${ATQ} \\ $$$$\boldsymbol{\mathrm{S}}_{{p}} ={q}…

2log4-x-9logx-4-9-find-x-

Question Number 152571 by Gbenga last updated on 29/Aug/21 $$\:\mathrm{2}\boldsymbol{{log}}\mathrm{4}^{\boldsymbol{{x}}} +\mathrm{9}\boldsymbol{{logx}}^{\mathrm{4}} =\mathrm{9} \\ $$$$\boldsymbol{{find}}\:\boldsymbol{{x}} \\ $$ Answered by mr W last updated on 29/Aug/21 $$\mathrm{log}\:\left(\mathrm{4}^{\mathrm{2}{x}}…

If-Y-is-a-non-void-set-define-Y-T-to-be-the-collection-of-all-functions-with-domain-T-and-range-Y-Show-that-if-T-and-Y-are-finite-sets-with-m-and-n-elements-then-Y-T-has-n-m-elements-

Question Number 21491 by dioph last updated on 24/Sep/17 $$\mathrm{If}\:{Y}\:\mathrm{is}\:\mathrm{a}\:\mathrm{non}−\mathrm{void}\:\mathrm{set},\:\mathrm{define}\:{Y}^{{T}} \:\mathrm{to}\:\mathrm{be} \\ $$$$\mathrm{the}\:\mathrm{collection}\:\mathrm{of}\:\mathrm{all}\:\mathrm{functions}\:\mathrm{with} \\ $$$$\mathrm{domain}\:{T}\:\mathrm{and}\:\mathrm{range}\:{Y}.\:\mathrm{Show}\:\mathrm{that} \\ $$$$\mathrm{if}\:{T}\:\mathrm{and}\:{Y}\:\mathrm{are}\:\mathrm{finite}\:\mathrm{sets}\:\mathrm{with}\:{m}\:\mathrm{and} \\ $$$${n}\:\mathrm{elements},\:\mathrm{then}\:{Y}^{{T}} \:\mathrm{has}\:{n}^{{m}} \:\mathrm{elements}. \\ $$ Terms of…

Question-87027

Question Number 87027 by john santu last updated on 02/Apr/20 Answered by som(math1967) last updated on 05/Apr/20 $$\angle{DCO}={alt}\angle{OAP}=\theta\left({let}\right) \\ $$$$\angle{COQ}=\angle{OAP}=\theta \\ $$$${again}\:\angle{ADO}=\angle{DCO}=\theta{ns} \\ $$$$\left[\bigtriangleup{ADO}\sim\bigtriangleup{DCO}\right] \\…

The-kinetic-energy-of-a-body-increases-by-100-Find-the-increase-in-its-momentum-please-solve-with-explanations-where-necessary-Thanks-

Question Number 21490 by NECx last updated on 24/Sep/17 $$\mathrm{The}\:\mathrm{kinetic}\:\mathrm{energy}\:\mathrm{of}\:\mathrm{a}\:\mathrm{body} \\ $$$$\mathrm{increases}\:\mathrm{by}\:\mathrm{100\%}.\mathrm{Find}\:\mathrm{the}\:\% \\ $$$$\mathrm{increase}\:\mathrm{in}\:\mathrm{its}\:\mathrm{momentum}. \\ $$$$ \\ $$$$\mathrm{please}\:\mathrm{solve}\:\mathrm{with}\:\mathrm{explanations} \\ $$$$\mathrm{where}\:\mathrm{necessary}.\:\mathrm{Thanks}. \\ $$ Answered by ajfour…