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Question Number 188348 Answers: 0 Comments: 1

Question Number 188536 Answers: 2 Comments: 0

solve the equation; {: ((x + y − z =5)),((z − yx = 7)),((z = 1 + x)) } x;y;z =??

$$ \\ $$$$\:\:\:\:\boldsymbol{{solve}}\:\boldsymbol{{the}}\:\boldsymbol{{equation}}; \\ $$$$\:\:\:\:\:\:\:\left.\begin{matrix}{\boldsymbol{{x}}\:+\:\boldsymbol{{y}}\:−\:\boldsymbol{{z}}\:=\mathrm{5}}\\{\boldsymbol{{z}}\:−\:\boldsymbol{{yx}}\:=\:\mathrm{7}}\\{\boldsymbol{{z}}\:=\:\mathrm{1}\:+\:\boldsymbol{{x}}}\end{matrix}\right\}\:\:\boldsymbol{{x}};\boldsymbol{{y}};\boldsymbol{{z}}\:=??\:\:\:\:\:\: \\ $$$$ \\ $$

Question Number 188535 Answers: 1 Comments: 0

Question Number 188534 Answers: 1 Comments: 0

Question Number 188343 Answers: 1 Comments: 0

Find: Ω = Σ_(n=1) ^∞ (lim_(x→0) (1 - ((5 - (√(25 - x^2 )))/x) )^((5n)/x) )

$$\mathrm{Find}:\:\Omega\:=\:\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\sum}}\:\left(\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\mathrm{1}\:-\:\frac{\mathrm{5}\:-\:\sqrt{\mathrm{25}\:-\:\mathrm{x}^{\mathrm{2}} }}{\mathrm{x}}\:\right)^{\frac{\mathrm{5}\boldsymbol{\mathrm{n}}}{\boldsymbol{\mathrm{x}}}} \:\right) \\ $$

Question Number 188339 Answers: 1 Comments: 0

Question Number 188336 Answers: 1 Comments: 0

Question Number 188325 Answers: 0 Comments: 1

A polytank contains 3600cm^(3 ) of water. A boy threw a stone to the tank and some of the water leaked away. When the owner realized only 319cm^3 of water was left. If 1cm^(2 ) of water cost 20peswas, calculate the lost.

$$\:{A}\:{polytank}\:{contains}\:\mathrm{3600}{cm}^{\mathrm{3}\:} \:{of}\: \\ $$$${water}.\:{A}\:{boy}\:{threw}\:{a}\:{stone}\:{to}\:{the}\: \\ $$$${tank}\:{and}\:{some}\:{of}\:{the}\:{water}\:{leaked}\: \\ $$$${away}.\:{When}\:{the}\:{owner}\:{realized}\:{only} \\ $$$$\mathrm{319}{cm}^{\mathrm{3}} \:{of}\:{water}\:{was}\:{left}.\:{If}\:\mathrm{1}{cm}^{\mathrm{2}\:} \\ $$$${of}\:{water}\:{cost}\:\mathrm{20}{peswas},\:{calculate}\: \\ $$$${the}\:{lost}. \\ $$

Question Number 188324 Answers: 0 Comments: 2

A contractor wants to plaster wall which is 2650m. He sends 50 masons to do the work equally, what size of the work does each mason plaster. If a square cost Ghc12 , how much does each mason earn.

$$\:\:{A}\:{contractor}\:{wants}\:{to}\:{plaster}\:{wall} \\ $$$$\:{which}\:{is}\:\mathrm{2650}{m}.\:{He}\:{sends}\:\mathrm{50}\:{masons} \\ $$$$\:{to}\:{do}\:{the}\:{work}\:{equally},\:{what}\:{size}\:{of} \\ $$$${the}\:{work}\:{does}\:{each}\:{mason}\:{plaster}.\: \\ $$$${If}\:{a}\:{square}\:{cost}\:{Ghc}\mathrm{12}\:,\:{how}\:{much}\: \\ $$$${does}\:{each}\:{mason}\:{earn}. \\ $$

Question Number 188320 Answers: 1 Comments: 0

if the on △ABC, inner circle radius and outer circle radius r and R show that; r = 4R sin (A/2) ∙ sin (B/2) ∙ sin (C/2)

$$ \\ $$$$\:\:\:\:\:\:\:\:\:\boldsymbol{{if}}\:\boldsymbol{{the}}\:\boldsymbol{{on}}\:\bigtriangleup\boldsymbol{{ABC}},\: \\ $$$$\:\:\boldsymbol{{inner}}\:\boldsymbol{{circle}}\:\boldsymbol{{radius}}\:\boldsymbol{{and}}\:\boldsymbol{{outer}}\:\boldsymbol{{circle}}\:\boldsymbol{{radius}}\:\boldsymbol{{r}}\:\boldsymbol{{and}}\:\boldsymbol{{R}}\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\boldsymbol{{show}}\:\boldsymbol{{that}}; \\ $$$$\:\:\:\:\:\:\boldsymbol{{r}}\:=\:\mathrm{4}\boldsymbol{{R}}\:\boldsymbol{{sin}}\:\frac{\boldsymbol{{A}}}{\mathrm{2}}\:\centerdot\:\boldsymbol{{sin}}\:\frac{\boldsymbol{{B}}}{\mathrm{2}}\:\centerdot\:\boldsymbol{{sin}}\:\frac{\boldsymbol{{C}}}{\mathrm{2}} \\ $$$$ \\ $$

Question Number 188667 Answers: 1 Comments: 3

find the increasing interval of f(x)=22x^(55) +222 .

$${find}\:{the}\:{increasing}\:{interval}\:{of}\: \\ $$$${f}\left({x}\right)=\mathrm{22}{x}^{\mathrm{55}} +\mathrm{222}\:\:. \\ $$

Question Number 188310 Answers: 2 Comments: 1

Question Number 188309 Answers: 1 Comments: 1

Question Number 188301 Answers: 1 Comments: 4

Find the number of triangles with integer side lengths and perimeter p.

$${Find}\:{the}\:{number}\:{of}\:{triangles}\:{with} \\ $$$${integer}\:{side}\:{lengths}\:{and}\:{perimeter}\:{p}. \\ $$

Question Number 188296 Answers: 1 Comments: 0

Question Number 188295 Answers: 0 Comments: 0

let S be the sets be the sequences of lenght 2018 whose terms are in the sets {1,2,3,4,5,6,10} and sum to 3860. prove that the cardinality of S is at most 2^(3860) ∙( ((2018)/(2048)))^(2018)

$$ \\ $$$$\:\:\:\:\boldsymbol{{let}}\:\:\boldsymbol{{S}}\:\boldsymbol{{be}}\:\boldsymbol{{the}}\:\boldsymbol{{sets}}\:\boldsymbol{{be}}\:\boldsymbol{{the}}\:\boldsymbol{{sequences}}\:\boldsymbol{{of}}\:\boldsymbol{{lenght}}\:\mathrm{2018}\:\:\: \\ $$$$\:\:\:\boldsymbol{{whose}}\:\boldsymbol{{terms}}\:\boldsymbol{{are}}\:\boldsymbol{{in}}\:\boldsymbol{{the}}\:\boldsymbol{{sets}}\:\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{6},\mathrm{10}\right\}\:\boldsymbol{{and}}\:\boldsymbol{{sum}}\:\boldsymbol{{to}}\:\mathrm{3860}.\:\:\: \\ $$$$\:\:\:\:\boldsymbol{{prove}}\:\boldsymbol{{that}}\:\boldsymbol{{the}}\:\boldsymbol{{cardinality}}\:\boldsymbol{{of}}\:\boldsymbol{{S}}\:\boldsymbol{{is}}\:\boldsymbol{{at}}\:\boldsymbol{{most}}\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{2}^{\mathrm{3860}} \centerdot\left(\:\frac{\mathrm{2018}}{\mathrm{2048}}\right)^{\mathrm{2018}} \\ $$$$ \\ $$$$\:\:\:\: \\ $$

Question Number 188294 Answers: 0 Comments: 0

Question Number 188463 Answers: 2 Comments: 0

Question Number 188286 Answers: 1 Comments: 0

when sin(x)+cos(x)=a find sec(x)+csc(x)=?

$${when}\:\:\:\:\:\:{sin}\left({x}\right)+{cos}\left({x}\right)={a} \\ $$$${find}\:\:\:\:\:\:\:\:\:{sec}\left({x}\right)+{csc}\left({x}\right)=? \\ $$

Question Number 188284 Answers: 1 Comments: 1

a friend shared this challenging problem to me. 2^y ×y^2 +(2y)^(2y) =272 no inspection approach! thank you all.

$${a}\:{friend}\:{shared}\:{this}\:{challenging}\: \\ $$$${problem}\:{to}\:{me}. \\ $$$$\mathrm{2}^{\boldsymbol{{y}}} ×\boldsymbol{{y}}^{\mathrm{2}} +\left(\mathrm{2}\boldsymbol{{y}}\right)^{\mathrm{2}\boldsymbol{{y}}} \:=\mathrm{272} \\ $$$$\boldsymbol{{no}}\:\boldsymbol{{inspection}}\:\boldsymbol{{approach}}! \\ $$$$\boldsymbol{{thank}}\:\boldsymbol{{you}}\:\boldsymbol{{all}}. \\ $$

Question Number 188281 Answers: 1 Comments: 0

1) ((18log10000+(√(43x)))/(12)) 2) ((√(43x))/(18log1000)) 3) 18log10000+(√(43x)) 4) ((18log10000)/( (√(43x)))) 5) log(sinx)+sin(log100) 6) log(sinx)+12 7) (√(x^2 −x+90)) 8) log(sin(π/4))+(1/( (√5))) Which two of the following questions can be polynomials?

$$\left.\mathrm{1}\right)\:\:\frac{\mathrm{18}{log}\mathrm{10000}+\sqrt{\mathrm{43}{x}}}{\mathrm{12}} \\ $$$$\left.\mathrm{2}\right)\:\frac{\sqrt{\mathrm{43}{x}}}{\mathrm{18}{log}\mathrm{1000}} \\ $$$$\left.\mathrm{3}\right)\:\:\mathrm{18}{log}\mathrm{10000}+\sqrt{\mathrm{43}{x}}\:\:\: \\ $$$$\left.\mathrm{4}\right)\:\:\:\frac{\mathrm{18}{log}\mathrm{10000}}{\:\sqrt{\mathrm{43}{x}}} \\ $$$$\left.\mathrm{5}\right)\:\:\:{log}\left({sinx}\right)+{sin}\left({log}\mathrm{100}\right) \\ $$$$\left.\mathrm{6}\right)\:\:\:{log}\left({sinx}\right)+\mathrm{12} \\ $$$$\left.\mathrm{7}\right)\:\:\:\sqrt{{x}^{\mathrm{2}} −{x}+\mathrm{90}} \\ $$$$\left.\mathrm{8}\right)\:\:{log}\left({sin}\frac{\pi}{\mathrm{4}}\right)+\frac{\mathrm{1}}{\:\sqrt{\mathrm{5}}} \\ $$Which two of the following questions can be polynomials?

Question Number 188280 Answers: 0 Comments: 2

Prove that 1+2+3+4+..... = −(1/(12))

$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}+.....\:=\:−\frac{\mathrm{1}}{\mathrm{12}} \\ $$

Question Number 188278 Answers: 1 Comments: 0

Question Number 188277 Answers: 0 Comments: 0

Question Number 188270 Answers: 1 Comments: 1

Question Number 188267 Answers: 2 Comments: 0

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