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AllQuestion and Answers: Page 209

Question Number 198084    Answers: 2   Comments: 0

Question Number 198077    Answers: 1   Comments: 0

Question Number 198074    Answers: 4   Comments: 0

Question Number 198067    Answers: 1   Comments: 0

A father reduced the quantity of food bought for the family by 10% when he found that the cost of living had increased by 15%. What is the fractional increase in the family food bill?

$${A}\:{father}\:{reduced}\:{the}\:{quantity}\:{of}\:{food} \\ $$$${bought}\:{for}\:{the}\:{family}\:{by}\:\mathrm{10\%}\:{when}\:{he} \\ $$$${found}\:{that}\:{the}\:{cost}\:{of}\:{living}\:{had} \\ $$$${increased}\:{by}\:\mathrm{15\%}.\:{What}\:{is}\:{the}\:{fractional} \\ $$$${increase}\:{in}\:{the}\:{family}\:{food}\:{bill}? \\ $$

Question Number 198065    Answers: 1   Comments: 0

2^x +9+2^x =40

$$\mathrm{2}^{{x}} +\mathrm{9}+\mathrm{2}^{{x}} =\mathrm{40} \\ $$

Question Number 198064    Answers: 1   Comments: 0

3×5^x +5^(x+1) =8×5^3

$$\mathrm{3}×\mathrm{5}^{{x}} +\mathrm{5}^{{x}+\mathrm{1}} =\mathrm{8}×\mathrm{5}^{\mathrm{3}} \\ $$

Question Number 198063    Answers: 2   Comments: 0

solve for x, y ∈R (√(x^2 +2x+1))+(√(y^2 −6y+9))+(√(x^2 −4x+4))+(√(x^2 +y^2 −2xy))=4

$${solve}\:{for}\:{x},\:{y}\:\in{R} \\ $$$$\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{1}}+\sqrt{{y}^{\mathrm{2}} −\mathrm{6}{y}+\mathrm{9}}+\sqrt{{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{4}}+\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} −\mathrm{2}{xy}}=\mathrm{4} \\ $$

Question Number 198062    Answers: 0   Comments: 1

Question Number 198059    Answers: 1   Comments: 1

Montrer l egalite (voir la figure )

$$\mathrm{Montrer}\:\mathrm{l}\:\mathrm{egalite}\:\:\left(\mathrm{voir}\:\mathrm{la}\:\mathrm{figure}\:\right) \\ $$

Question Number 198054    Answers: 0   Comments: 3

In △MNO, MN=6units, MO=4 units and NO=12 units. If the bisector of the angle M meets NO at P, calculate NP.

$${In}\:\bigtriangleup{MNO},\:{MN}=\mathrm{6}{units},\:{MO}=\mathrm{4}\:{units} \\ $$$${and}\:{NO}=\mathrm{12}\:{units}.\:{If}\:{the}\:{bisector}\:{of}\:{the} \\ $$$${angle}\:{M}\:{meets}\:{NO}\:{at}\:{P},\:{calculate}\:{NP}. \\ $$

Question Number 198052    Answers: 1   Comments: 0

Question Number 198050    Answers: 1   Comments: 0

Question Number 198039    Answers: 1   Comments: 0

Question Number 198036    Answers: 2   Comments: 0

if A÷6 reminder is 4 and B÷6 reminder is 5 then (A+B)÷6 reminder is ?

$${if}\:{A}\boldsymbol{\div}\mathrm{6}\:{reminder}\:{is}\:\mathrm{4}\:{and}\:{B}\boldsymbol{\div}\mathrm{6} \\ $$$${reminder}\:{is}\:\mathrm{5}\:{then}\:\left({A}+{B}\right)\boldsymbol{\div}\mathrm{6} \\ $$$${reminder}\:{is}\:? \\ $$

Question Number 198032    Answers: 0   Comments: 1

lim_(x→∞) (1/( (√(4025x)))) ((1/( (√x))) +(1/( (√(x+1)))) +(1/( (√(x+2)) )) +... +(1/( (√(4025x)))) )=?

$$\:\:\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{4025x}}}\:\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}}}\:+\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}+\mathrm{1}}}\:+\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}+\mathrm{2}}\:}\:+...\:+\frac{\mathrm{1}}{\:\sqrt{\mathrm{4025x}}}\:\right)=? \\ $$

Question Number 198031    Answers: 3   Comments: 0

Question Number 198030    Answers: 1   Comments: 0

Question Number 198029    Answers: 0   Comments: 1

Question Number 198025    Answers: 1   Comments: 1

Question Number 198023    Answers: 1   Comments: 0

Question Number 198022    Answers: 1   Comments: 0

Five letters are selected from

$$\:\:\mathrm{Five}\:\mathrm{letters}\:\mathrm{are}\:\mathrm{selected}\:\mathrm{from} \\ $$

Question Number 198018    Answers: 1   Comments: 0

Question Number 198014    Answers: 1   Comments: 0

Question Number 198013    Answers: 1   Comments: 0

Question Number 198001    Answers: 0   Comments: 2

∫(e)^((x)^(lnx) ) dx=?

$$\int\left({e}\right)^{\left({x}\right)^{{lnx}} } \:{dx}=? \\ $$

Question Number 197998    Answers: 3   Comments: 0

lim_(x→0) ((x−ln(x+(√(1+x^2 ))))/x^3 )=? with out L′Hospital rul

$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{x}−{ln}\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)}{{x}^{\mathrm{3}} }=? \\ $$$${with}\:{out}\:{L}'{Hospital}\:{rul} \\ $$

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