Question Number 47071 by 23kpratik last updated on 04/Nov/18 $${prove}\:{that}\:{union}\:{of}\:{two}\:{subgroups}\:{of}\:{a}\:{group}\:{is}\:{a}\:{subgroup}\:{iff}\:{one}\:{is}\:{contained}\:{in}\:{other} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 112583 by mohammad17 last updated on 08/Sep/20 Commented by Aziztisffola last updated on 08/Sep/20 $$\mathrm{1}.\:\mathrm{let}\:\sqrt{\mathrm{7}}=\frac{\mathrm{a}}{\mathrm{b}}\:\mathrm{with}\:\mathrm{gcd}\left(\mathrm{a};\mathrm{b}\right)=\mathrm{1}\:\:\left(\mathrm{a}\:\&\mathrm{b}\in\mathbb{Z}\:\mathrm{b}\neq\mathrm{0}\right) \\ $$$$\:\Rightarrow\mathrm{7}=\frac{\mathrm{a}^{\mathrm{2}} }{\mathrm{b}^{\mathrm{2}} }\Rightarrow\mathrm{a}^{\mathrm{2}} =\mathrm{7b}^{\mathrm{2}} \Rightarrow\mathrm{7}\mid\mathrm{a}^{\mathrm{2}} \:\:\:\:\overset{\mathrm{7}\:\mathrm{is}\:\mathrm{prime}\:} {\Rightarrow}\mathrm{7}\mid\mathrm{a}…
Question Number 47043 by 23kpratik last updated on 04/Nov/18 $${if}\:{p}\:{is}\:{a}\:{prime}\:{number}\:{and}\:\left({a},{p}\right)=\:{then}\:{prove}\:{that}\:{a}^{{p}−\mathrm{1}} \equiv\:\mathrm{1}\left({mod}\:{p}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 178115 by aurpeyz last updated on 12/Oct/22 $$\frac{{n}}{\mathrm{390}}\:{is}\:{a}\:{prime}\:{number}\:{less}\:{than}\:\mathrm{12}\:{and}\: \\ $$$${one}\:{of}\:{the}\:{prime}\:{factor}\:{of}\:\:{n}\:{is}\:{not}\: \\ $$$${a}\:{prime}\:{factor}\:{of}\:\mathrm{390}. \\ $$$${Qty}\:{A}:\:{n} \\ $$$${Qty}\:{B}:\:\mathrm{3000} \\ $$ Answered by Rasheed.Sindhi last updated…
Question Number 178114 by aurpeyz last updated on 12/Oct/22 $${n}\:{is}\:{an}\:{integer}\:{greater}\:{than}\:\mathrm{1}. \\ $$$${Quantity}\:{A}:\:{the}\:{number}\:{of}\:{positive}\:{divisor} \\ $$$${of}\:\mathrm{2}{n}. \\ $$$${Quantity}\:{B}:\:{twice}\:{the}\:{number}\:{of}\:{positive} \\ $$$${divisors}\:{of}\:{n} \\ $$ Commented by mr W last…
Question Number 47035 by 23kpratik last updated on 04/Nov/18 $$\left({d}^{\mathrm{2}} +{a}^{\mathrm{2}} \right){y}={tan}\:{ax}\:{by}\:{the}\:{method}\:{of}\:{variation}\:{of}\:{parameters} \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 04/Nov/18 $${pls}\:{clarify}\:\:{d}\:{means}\:\frac{{d}}{{dx}}\:{is}\:{it}… \\ $$ Answered…
Question Number 47036 by 23kpratik last updated on 04/Nov/18 $${let}\:{m},{n}\:{denotes}\:{any}\:{two}\:{possitive},{relative}\:{prime}\:{integers},\:{then}\:{prove}\:{that}\:\phi\left({mn}\right)=\phi\left({m}\right)\centerdot\phi\left({n}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 178103 by aurpeyz last updated on 12/Oct/22 $${A}\:{sample}\:{of}\:\mathrm{18}\:{integers}\:{has}\:{an}\:{average}\: \\ $$$$\left({arithemetic}\:{mean}\right)\:{equal}\:{to}\:{M}\:{and}\:{standard} \\ $$$${deviation}\:{equal}\:{to}\:{S}.\:{Two}\:{of}\:{the}\:{integers} \\ $$$${are}\:{equal}\:{to}\:{m}. \\ $$$${Quantity}\:{A}:\:{The}\:{standard}\:{devuaition}\:{of} \\ $$$${the}\:\mathrm{16}\:{integers}\:{that}\:{are}\:{not}\:{equal}\:{to}\:{m}. \\ $$$${Quantity}\:{B}:\:{S} \\ $$ Commented…
Question Number 178101 by aurpeyz last updated on 12/Oct/22 $${x}\:{and}\:{s}\:{are}\:{positive} \\ $$$${Quantity}\:{A}:\:{the}\:{amount}\:{of}\:{money}\:{invested} \\ $$$${for}\:{one}\:{year}\:{at}\:{x}/\mathrm{2}\:{percent}\:{simple}\:{interest} \\ $$$${that}\:{will}\:{earn}\:\mathrm{2}{x}\:{dollars}\:{in}\:{interest}\:{in}\:{that} \\ $$$${year}. \\ $$$${Quantity}\:{B}:\:{the}\:{amount}\:{of}\:{money}\:{invested} \\ $$$${for}\:{one}\:{year}\:{at}\:{x}\:{percent}\:{simple}\:{annual} \\ $$$${interest}\:{that}\:{will}\:{earn}\:{s}\:{dollars}\:{in}\:{interest} \\…
Question Number 47034 by 23kpratik last updated on 04/Nov/18 $${find}\:{angel}\:{between}\:{spheres}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\mathrm{29},\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} +\mathrm{4}{x}−\mathrm{6}{y}−\mathrm{8}{z}−\mathrm{47}=\mathrm{0}\:\:\left(\mathrm{4},−\mathrm{3},\mathrm{2}\right) \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 04/Nov/18…