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Question Number 104461    Answers: 1   Comments: 0

Question Number 104460    Answers: 1   Comments: 0

The number of reading books is 1248 in a library. The number of story books is 936. The librarians bought more reading books. Now ((The number of Reading books)/(The number of story books )) = ((11)/5). How many reading books were bought ?

$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{reading}\:\mathrm{books}\:\mathrm{is}\:\mathrm{1248} \\ $$$$\mathrm{in}\:\mathrm{a}\:\mathrm{library}.\:\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{story} \\ $$$$\mathrm{books}\:\mathrm{is}\:\mathrm{936}.\:\mathrm{The}\:\mathrm{librarians}\:\mathrm{bought} \\ $$$$\mathrm{more}\:\mathrm{reading}\:\mathrm{books}.\:\mathrm{Now}\:\frac{\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{Reading}\:\mathrm{books}}{\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{story}\:\mathrm{books}\:} \\ $$$$=\:\frac{\mathrm{11}}{\mathrm{5}}.\:\mathrm{How}\:\mathrm{many}\:\mathrm{reading}\:\mathrm{books}\:\mathrm{were} \\ $$$$\mathrm{bought}\:? \\ $$

Question Number 104459    Answers: 1   Comments: 1

∫ (dx/(√(Acos x+B)))

$$\int\:\frac{{dx}}{\sqrt{{A}\mathrm{cos}\:{x}+{B}}} \\ $$

Question Number 104452    Answers: 3   Comments: 0

If A:B = 3:4, B:C = 6:7 then A:B:C = ? A:C = ?

$$\mathrm{If}\:\mathrm{A}:\mathrm{B}\:=\:\mathrm{3}:\mathrm{4},\:\mathrm{B}:\mathrm{C}\:=\:\mathrm{6}:\mathrm{7}\:\mathrm{then} \\ $$$$\mathrm{A}:\mathrm{B}:\mathrm{C}\:=\:?\:\mathrm{A}:\mathrm{C}\:=\:?\: \\ $$

Question Number 104450    Answers: 1   Comments: 0

(4/(99)) + (7/(999)) + ((11)/(999999)) = ? Can you solve this?

$$\frac{\mathrm{4}}{\mathrm{99}}\:+\:\frac{\mathrm{7}}{\mathrm{999}}\:+\:\frac{\mathrm{11}}{\mathrm{999999}}\:=\:? \\ $$$$\boldsymbol{\mathrm{Can}}\:\boldsymbol{\mathrm{you}}\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{this}}? \\ $$

Question Number 104445    Answers: 0   Comments: 2

Question Number 104428    Answers: 4   Comments: 0

given a_(n+1) =a_(n−1) +2a_n if a_3 = 0 & a_5 = −1 find a_n

$${given}\:{a}_{{n}+\mathrm{1}} ={a}_{{n}−\mathrm{1}} +\mathrm{2}{a}_{{n}} \\ $$$${if}\:{a}_{\mathrm{3}} =\:\mathrm{0}\:\&\:{a}_{\mathrm{5}} \:=\:−\mathrm{1} \\ $$$${find}\:{a}_{{n}} \\ $$

Question Number 104426    Answers: 0   Comments: 0

Question Number 104421    Answers: 0   Comments: 0

calculate ∫_(−∞) ^(+∞) ((ch(arctan(2x)))/(x^2 +x+1))dx

$$\mathrm{calculate}\:\int_{−\infty} ^{+\infty} \:\frac{\mathrm{ch}\left(\mathrm{arctan}\left(\mathrm{2x}\right)\right)}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{x}+\mathrm{1}}\mathrm{dx} \\ $$

Question Number 104419    Answers: 2   Comments: 0

Now the sum of your father and your is 90 years. 5 years ago your father′s age was 3 times than your age. Write the your age and your father′s age 3 years after.

$$\boldsymbol{\mathrm{Now}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{your}}\:\boldsymbol{\mathrm{father}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{your}}\:\boldsymbol{\mathrm{is}} \\ $$$$\mathrm{90}\:\boldsymbol{\mathrm{years}}.\:\mathrm{5}\:\boldsymbol{\mathrm{years}}\:\boldsymbol{\mathrm{ago}}\:\boldsymbol{\mathrm{your}}\:\boldsymbol{\mathrm{father}}'\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{age}} \\ $$$$\boldsymbol{\mathrm{was}}\:\mathrm{3}\:\boldsymbol{\mathrm{times}}\:\boldsymbol{\mathrm{than}}\:\boldsymbol{\mathrm{your}}\:\boldsymbol{\mathrm{age}}.\:\boldsymbol{\mathrm{Write}}\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{your}}\:\boldsymbol{\mathrm{age}}\:\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{your}}\:\boldsymbol{\mathrm{father}}'\boldsymbol{\mathrm{s}}\:\boldsymbol{\mathrm{age}}\:\mathrm{3}\:\boldsymbol{\mathrm{years}} \\ $$$$\boldsymbol{\mathrm{after}}. \\ $$

Question Number 104413    Answers: 2   Comments: 0

The sum of two integers is 304 and their GCD is 19. What are the numbers?

$$\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{sum}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{two}}\:\boldsymbol{\mathrm{integers}}\:\boldsymbol{\mathrm{is}}\:\mathrm{304} \\ $$$$\boldsymbol{\mathrm{and}}\:\boldsymbol{\mathrm{their}}\:\boldsymbol{\mathrm{GCD}}\:\boldsymbol{\mathrm{is}}\:\mathrm{19}.\:\boldsymbol{\mathrm{What}}\:\boldsymbol{\mathrm{are}}\:\boldsymbol{\mathrm{the}} \\ $$$$\boldsymbol{\mathrm{numbers}}? \\ $$

Question Number 104411    Answers: 0   Comments: 5

Question Number 104410    Answers: 1   Comments: 0

If 11×11=121, 111×111=12321,1111×1111=1234321 then what is the answer of 111111×111111 ? (It is a short question)

$$\boldsymbol{\mathrm{If}}\:\mathrm{11}×\mathrm{11}=\mathrm{121}, \\ $$$$\mathrm{111}×\mathrm{111}=\mathrm{12321},\mathrm{1111}×\mathrm{1111}=\mathrm{1234321} \\ $$$$\boldsymbol{\mathrm{then}}\:\boldsymbol{\mathrm{what}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{answer}}\:\boldsymbol{\mathrm{of}} \\ $$$$\mathrm{111111}×\mathrm{111111}\:? \\ $$$$\left(\boldsymbol{\mathrm{It}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{short}}\:\boldsymbol{\mathrm{question}}\right) \\ $$

Question Number 104406    Answers: 1   Comments: 1

Evaluate (1/2) + (3/8) + (3/(16)) + (5/(64)) + .....

$$\:\:\:\:\mathrm{Evaluate} \\ $$$$\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{2}}\:+\:\frac{\mathrm{3}}{\mathrm{8}}\:+\:\frac{\mathrm{3}}{\mathrm{16}}\:+\:\frac{\mathrm{5}}{\mathrm{64}}\:+\:..... \\ $$

Question Number 104404    Answers: 1   Comments: 0

(4/5)=(?/(45))=((20)/?)=((144)/?)=((200)/?)

$$\frac{\mathrm{4}}{\mathrm{5}}=\frac{?}{\mathrm{45}}=\frac{\mathrm{20}}{?}=\frac{\mathrm{144}}{?}=\frac{\mathrm{200}}{?} \\ $$

Question Number 104391    Answers: 0   Comments: 1

(x−a)(x−b)(x−c)....(x−z) = ?

$$\left(\boldsymbol{{x}}−\boldsymbol{{a}}\right)\left(\boldsymbol{{x}}−\boldsymbol{{b}}\right)\left(\boldsymbol{{x}}−\boldsymbol{{c}}\right)....\left(\boldsymbol{{x}}−\boldsymbol{{z}}\right)\:=\:? \\ $$

Question Number 104390    Answers: 1   Comments: 0

Question Number 104394    Answers: 1   Comments: 0

Question Number 104388    Answers: 1   Comments: 0

∫(dx/(x^2 ((x^3 −1))^(1/3) ))

$$\int\frac{\mathrm{d}{x}}{{x}^{\mathrm{2}} \sqrt[{\mathrm{3}}]{{x}^{\mathrm{3}} −\mathrm{1}}} \\ $$

Question Number 104383    Answers: 1   Comments: 1

When f(x) is a differentiable function satisfying x∙f(x)=x^2 +∫_0 ^( x) (x−t)∙f ′(t)dt Find ⇒ f(1)

$$\mathrm{When}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{is}\:\mathrm{a}\:\mathrm{differentiable}\:\mathrm{function} \\ $$$$\mathrm{satisfying}\:\:{x}\centerdot{f}\left({x}\right)={x}^{\mathrm{2}} +\int_{\mathrm{0}} ^{\:{x}} \left({x}−{t}\right)\centerdot{f}\:'\left({t}\right){dt} \\ $$$$\mathrm{Find}\:\Rightarrow\:{f}\left(\mathrm{1}\right) \\ $$

Question Number 104377    Answers: 1   Comments: 6

Solve: a^2 + c^2 = 196 ... (i) b^2 + (c − a)^2 = 169 ... (ii) c^2 + (b − c)^2 = 225 .... (iii)

$$\mathrm{Solve}:\:\:\:\:\:\mathrm{a}^{\mathrm{2}} \:\:+\:\mathrm{c}^{\mathrm{2}} \:\:=\:\:\mathrm{196}\:\:\:\:\:\:\:\:...\:\left(\mathrm{i}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{b}^{\mathrm{2}} \:\:+\:\:\left(\mathrm{c}\:\:−\:\:\mathrm{a}\right)^{\mathrm{2}} \:\:=\:\:\mathrm{169}\:\:\:...\:\left(\mathrm{ii}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{c}^{\mathrm{2}} \:\:+\:\:\left(\mathrm{b}\:\:−\:\:\mathrm{c}\right)^{\mathrm{2}} \:\:=\:\:\mathrm{225}\:\:\:\:\:....\:\left(\mathrm{iii}\right) \\ $$

Question Number 104371    Answers: 1   Comments: 0

Question Number 104370    Answers: 1   Comments: 0

Question Number 104369    Answers: 1   Comments: 0

Question Number 104368    Answers: 1   Comments: 0

CH_3 CH_2 −CH=CH_2 +HCl→ help me

$${CH}_{\mathrm{3}} {CH}_{\mathrm{2}} −{CH}={CH}_{\mathrm{2}} +{HCl}\rightarrow \\ $$$${help}\:{me} \\ $$

Question Number 104367    Answers: 1   Comments: 0

CH_3 −CH_2 −CH_2 −CH_2 Cl+KOH→ help me

$${CH}_{\mathrm{3}} −{CH}_{\mathrm{2}} −{CH}_{\mathrm{2}} −{CH}_{\mathrm{2}} {Cl}+{KOH}\rightarrow \\ $$$${help}\:{me} \\ $$

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