Question and Answers Forum

All Questions Topic List

AlgebraQuestion and Answers: Page 2

Question Number 227433 Answers: 1 Comments: 0

Question Number 227422 Answers: 2 Comments: 0

Question Number 227373 Answers: 1 Comments: 1

Question Number 227371 Answers: 2 Comments: 0

3^(444) + 4^(333) Find the remainder when dividing the number by 7

$$\mathrm{3}^{\mathrm{444}} \:\:+\:\:\mathrm{4}^{\mathrm{333}} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{remainder}\:\mathrm{when}\:\mathrm{dividing}\:\mathrm{the} \\ $$$$\mathrm{number}\:\mathrm{by}\:\mathrm{7} \\ $$

Question Number 227370 Answers: 1 Comments: 0

((16∙3^(x−1) + 16∙3^x )/(4∙3^(x+1) − 2∙3^(x−1) )) = ((2^(x−1) )^(1/3) /(17)) find: x=?

$$\frac{\mathrm{16}\centerdot\mathrm{3}^{\boldsymbol{\mathrm{x}}−\mathrm{1}} \:+\:\mathrm{16}\centerdot\mathrm{3}^{\boldsymbol{\mathrm{x}}} }{\mathrm{4}\centerdot\mathrm{3}^{\boldsymbol{\mathrm{x}}+\mathrm{1}} \:−\:\mathrm{2}\centerdot\mathrm{3}^{\boldsymbol{\mathrm{x}}−\mathrm{1}} }\:=\:\frac{\sqrt[{\mathrm{3}}]{\mathrm{2}^{\boldsymbol{\mathrm{x}}−\mathrm{1}} }}{\mathrm{17}}\:\:\:\:\:\mathrm{find}:\:\:\mathrm{x}=? \\ $$

Question Number 227369 Answers: 1 Comments: 0

{ ((3^m + 2∙4^(n+1) = 17)),((4^n − 5∙3^m = −44)) :} find: m+n=?

$$\begin{cases}{\mathrm{3}^{\boldsymbol{\mathrm{m}}} \:+\:\mathrm{2}\centerdot\mathrm{4}^{\boldsymbol{\mathrm{n}}+\mathrm{1}} \:=\:\mathrm{17}}\\{\mathrm{4}^{\boldsymbol{\mathrm{n}}} \:−\:\mathrm{5}\centerdot\mathrm{3}^{\boldsymbol{\mathrm{m}}} \:=\:−\mathrm{44}}\end{cases}\:\:\:\:\:\mathrm{find}:\:\:\mathrm{m}+\mathrm{n}=? \\ $$

Question Number 227368 Answers: 2 Comments: 0

If sin9° = a Find ((cos3°)/(sin15°)) − ((sin3°)/(cos15°)) = ?

$$\mathrm{If}\:\:\:\mathrm{sin9}°\:=\:\mathrm{a} \\ $$$$\mathrm{Find}\:\:\:\frac{\mathrm{cos3}°}{\mathrm{sin15}°}\:−\:\frac{\mathrm{sin3}°}{\mathrm{cos15}°}\:=\:? \\ $$

Question Number 227346 Answers: 2 Comments: 0

Question Number 227325 Answers: 0 Comments: 0

Prove that in any acute △ABC if I is the in-center and H is the ortho-center then: (1/(IA)) + (1/(IB)) + (1/(IC)) ≤ (1/(HA)) + (1/(HB)) + (1/(HC))

$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{in}\:\mathrm{any}\:\mathrm{acute}\:\bigtriangleup\mathrm{ABC}\: \\ $$$$\mathrm{if}\:\mathrm{I}\:\mathrm{is}\:\mathrm{the}\:\mathrm{in}-\mathrm{center}\:\mathrm{and}\:\mathrm{H}\:\mathrm{is}\:\mathrm{the}\:\mathrm{ortho}-\mathrm{center} \\ $$$$\mathrm{then}: \\ $$$$\frac{\mathrm{1}}{\mathrm{IA}}\:+\:\frac{\mathrm{1}}{\mathrm{IB}}\:+\:\frac{\mathrm{1}}{\mathrm{IC}}\:\:\leqslant\:\:\frac{\mathrm{1}}{\mathrm{HA}}\:+\:\frac{\mathrm{1}}{\mathrm{HB}}\:+\:\frac{\mathrm{1}}{\mathrm{HC}} \\ $$

Question Number 227312 Answers: 2 Comments: 0

tg(15) + ctg(5) = ?

$$\mathrm{tg}\left(\mathrm{15}\right)\:+\:\mathrm{ctg}\left(\mathrm{5}\right)\:=\:? \\ $$

Question Number 227306 Answers: 1 Comments: 1

Question Number 227286 Answers: 2 Comments: 0

tg(4) + ctg(4) = ?

$$\mathrm{tg}\left(\mathrm{4}\right)\:+\:\mathrm{ctg}\left(\mathrm{4}\right)\:=\:? \\ $$

Question Number 227247 Answers: 2 Comments: 0

Question Number 227246 Answers: 1 Comments: 0

Question Number 227245 Answers: 2 Comments: 0

Question Number 227194 Answers: 0 Comments: 2

umm.... hi

$${umm}....\:{hi} \\ $$

Question Number 227174 Answers: 1 Comments: 0

Solve the equation (x−2)(dy/dx)−y=(x−2)^3 given y=10 when x=4. 4/1/2026

$${Solve}\:{the}\:{equation} \\ $$$$\left(\boldsymbol{{x}}−\mathrm{2}\right)\frac{\boldsymbol{{dy}}}{\boldsymbol{{dx}}}−\boldsymbol{{y}}=\left(\boldsymbol{{x}}−\mathrm{2}\right)^{\mathrm{3}} \\ $$$$\boldsymbol{{given}}\:\boldsymbol{{y}}=\mathrm{10}\:\:\boldsymbol{{when}}\:\boldsymbol{{x}}=\mathrm{4}. \\ $$$$\mathrm{4}/\mathrm{1}/\mathrm{2026} \\ $$

Question Number 227162 Answers: 1 Comments: 0

How can I recall an older question? To be precise, number 175409. I have a solution.

$${How}\:{can}\:{I}\:{recall}\:{an}\:{older}\:{question}? \\ $$$${To}\:{be}\:{precise},\:{number}\:\mathrm{175409}.\:{I}\:{have} \\ $$$${a}\:{solution}. \\ $$

Question Number 227124 Answers: 1 Comments: 0

((2025×2026×2027 + 2026))^(1/3) = ?

$$\sqrt[{\mathrm{3}}]{\mathrm{2025}×\mathrm{2026}×\mathrm{2027}\:+\:\mathrm{2026}}\:=\:?\:\:\:\:\:\:\: \\ $$

Question Number 227115 Answers: 2 Comments: 0

prove:Π_(i=1) ^n i sin(1/i)>(1/(n(n+1)))

$$\mathrm{prove}:\underset{{i}=\mathrm{1}} {\overset{{n}} {\prod}}{i}\:\mathrm{sin}\frac{\mathrm{1}}{{i}}>\frac{\mathrm{1}}{{n}\left({n}+\mathrm{1}\right)} \\ $$

Question Number 227085 Answers: 0 Comments: 3

Question Number 226983 Answers: 1 Comments: 0

Question Number 226981 Answers: 0 Comments: 0

Question Number 226991 Answers: 4 Comments: 0

Question Number 226958 Answers: 2 Comments: 0

3^x =x^9 x^2 = ..?

$$\:\:\:\mathrm{3}^{\mathrm{x}} =\mathrm{x}^{\mathrm{9}} \: \\ $$$$\:\:\:\:\mathrm{x}^{\mathrm{2}} =\:..? \\ $$

Question Number 226912 Answers: 1 Comments: 0

Pg 1 Pg 2 Pg 3 Pg 4 Pg 5 Pg 6 Pg 7 Pg 8 Pg 9 Pg 10

Contact: [email protected]