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Question Number 49491 Answers: 1 Comments: 0

A rocket of mass 1000kg containing a propellant gas of 3000kg is to be launched vertically.If the fuel is consumed at a steady rate of 60kg/s.Calculate the least velocith of the exhaust gases if the rocket and the content will just lift off the launching pad immediately after firing?

$${A}\:{rocket}\:{of}\:{mass}\:\mathrm{1000}{kg}\:{containing} \\ $$$${a}\:\:{propellant}\:{gas}\:{of}\:\mathrm{3000}{kg}\:{is}\:{to} \\ $$$${be}\:{launched}\:{vertically}.{If}\:{the}\:{fuel} \\ $$$${is}\:{consumed}\:{at}\:{a}\:{steady}\:{rate}\:{of} \\ $$$$\mathrm{60}{kg}/{s}.{Calculate}\:{the}\:{least}\:{velocith} \\ $$$${of}\:{the}\:{exhaust}\:{gases}\:{if}\:{the}\:{rocket} \\ $$$${and}\:{the}\:{content}\:{will}\:{just}\:{lift}\:{off} \\ $$$${the}\:{launching}\:{pad}\:{immediately} \\ $$$${after}\:{firing}? \\ $$

Question Number 49487 Answers: 0 Comments: 2

Find the nth term of the sequence: 5, 5, 35, 65, 275, ... Answer: 3^n − (− 2)^n ple1ase how

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sequence}:\:\:\mathrm{5},\:\:\mathrm{5},\:\:\mathrm{35},\:\mathrm{65},\:\:\mathrm{275},\:... \\ $$$$ \\ $$$$\mathrm{Answer}:\:\:\:\:\:\mathrm{3}^{\boldsymbol{\mathrm{n}}} \:−\:\left(−\:\mathrm{2}\right)^{\boldsymbol{\mathrm{n}}} \:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{ple}}\mathrm{1ase}\:\mathrm{how} \\ $$

Question Number 49482 Answers: 1 Comments: 14

Find number of 4−letter words which can be formed using the letters of the word ′ALLAHABAD′ such that: NO repetition of letter and word should start “either” from H “or” ends with D ?

$${Find}\:{number}\:{of}\:\mathrm{4}−{letter}\:{words}\:{which} \\ $$$${can}\:{be}\:{formed}\:{using}\:{the}\:{letters}\:{of}\: \\ $$$${the}\:{word}\:'{ALLAHABAD}'\:{such}\:{that}: \\ $$$${NO}\:{repetition}\:{of}\:{letter}\:{and}\:{word}\:{should} \\ $$$${start}\:``{either}''\:{from}\:{H}\:``{or}''\:{ends}\:{with}\:{D}\:? \\ $$

Question Number 49468 Answers: 1 Comments: 0

Question Number 49466 Answers: 0 Comments: 0

show that the area of the triangle whose vertics area (0,0,0) , (x_1 ,y_1 ,z_1 ) , (x_2 ,y_(2,) z_2 ) is 1/2((√(Σ(y_1 z_2 −y_2 z_1 )^2 .))

$${show}\:{that}\:{the}\:{area}\:{of}\:{the}\:{triangle}\:{whose}\:{vertics}\:{area}\:\left(\mathrm{0},\mathrm{0},\mathrm{0}\right)\:,\:\left({x}_{\mathrm{1}} ,{y}_{\mathrm{1}} ,{z}_{\mathrm{1}} \right)\:,\:\left({x}_{\mathrm{2}} ,{y}_{\mathrm{2},} {z}_{\mathrm{2}} \right)\:{is}\:\mathrm{1}/\mathrm{2}\left(\sqrt{\Sigma\left({y}_{\mathrm{1}} {z}_{\mathrm{2}} −{y}_{\mathrm{2}} {z}_{\mathrm{1}} \right)^{\mathrm{2}} \:.}\right. \\ $$

Question Number 49464 Answers: 2 Comments: 2

If 9(√x)=(√(12))+(√(147)), then the value of x is

$$\mathrm{If}\:\:\mathrm{9}\sqrt{{x}}=\sqrt{\mathrm{12}}+\sqrt{\mathrm{147}},\:\mathrm{then}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{of}\:{x}\:\mathrm{is} \\ $$

Question Number 49463 Answers: 1 Comments: 0

If 7^(log _7 (x^2 −4x+5)) = x−1, x may have values

$$\mathrm{If}\:\:\:\mathrm{7}^{\mathrm{log}\:_{\mathrm{7}} \left({x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{5}\right)} =\:{x}−\mathrm{1},\:\:{x}\:\mathrm{may}\:\mathrm{have} \\ $$$$\mathrm{values} \\ $$

Question Number 49462 Answers: 2 Comments: 0

The number of roots of the equation 2∣x∣^2 − 7∣x∣ + 6=0.

$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\mathrm{2}\mid{x}\mid^{\mathrm{2}} −\:\mathrm{7}\mid{x}\mid\:+\:\mathrm{6}=\mathrm{0}. \\ $$

Question Number 49461 Answers: 2 Comments: 0

The number of solutions for x from the equation x^2 −∣x∣−2=0 is

$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{solutions}\:\mathrm{for}\:{x}\:\mathrm{from} \\ $$$$\mathrm{the}\:\mathrm{equation}\:{x}^{\mathrm{2}} −\mid{x}\mid−\mathrm{2}=\mathrm{0}\:\:\mathrm{is} \\ $$

Question Number 49460 Answers: 0 Comments: 2

If x=1+i is a root of the equation x^3 −ix+1−i=0 , then the other real root is

$$\mathrm{If}\:\:{x}=\mathrm{1}+{i}\:\:\mathrm{is}\:\mathrm{a}\:\mathrm{root}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$${x}^{\mathrm{3}} −{ix}+\mathrm{1}−{i}=\mathrm{0}\:,\:\mathrm{then}\:\mathrm{the}\:\mathrm{other}\:\mathrm{real} \\ $$$$\mathrm{root}\:\mathrm{is} \\ $$

Question Number 49459 Answers: 2 Comments: 0

If tan θ=((cos 9°+sin 9°)/(cos 9°−sin 9°)) then θ = ___

$$\mathrm{If}\:\mathrm{tan}\:\theta=\frac{\mathrm{cos}\:\mathrm{9}°+\mathrm{sin}\:\mathrm{9}°}{\mathrm{cos}\:\mathrm{9}°−\mathrm{sin}\:\mathrm{9}°}\:\mathrm{then}\:\theta\:=\:\_\_\_ \\ $$

Question Number 49457 Answers: 0 Comments: 0

evaluate ∫x^(3 ) J_3 (x)dx

$${evaluate}\:\int{x}^{\mathrm{3}\:} {J}_{\mathrm{3}} \left({x}\right){dx} \\ $$

Question Number 49433 Answers: 3 Comments: 6

Question Number 49430 Answers: 0 Comments: 1

Question Number 49427 Answers: 0 Comments: 1

Find the nth term of the sequence: 5, 5, 35, 65, 275, ...

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sequence}:\:\:\:\mathrm{5},\:\:\mathrm{5},\:\:\mathrm{35},\:\:\mathrm{65},\:\:\mathrm{275},\:... \\ $$

Question Number 49408 Answers: 1 Comments: 3

Find the number of all such 7−digit no. which satisfy conditions: 1) divisible by 3 2) repetition allowed 3) zero is not used.

$${Find}\:{the}\:{number}\:{of}\:{all}\:{such}\:\mathrm{7}−{digit} \\ $$$${no}.\:{which}\:{satisfy}\:{conditions}: \\ $$$$\left.\mathrm{1}\right)\:{divisible}\:{by}\:\mathrm{3} \\ $$$$\left.\mathrm{2}\right)\:{repetition}\:{allowed} \\ $$$$\left.\mathrm{3}\right)\:{zero}\:{is}\:{not}\:{used}. \\ $$

Question Number 49396 Answers: 0 Comments: 0

Here is floods of questions...number of batsman limited but bowlers are all... so pls limit your questions...if everybody posts questions who will answer... so pls limit questions...

$${Here}\:{is}\:{floods}\:{of}\:{questions}...{number}\:{of}\:{batsman} \\ $$$${limited}\:{but}\:{bowlers}\:{are}\:{all}...\:{so}\:{pls}\:{limit}\:{your} \\ $$$${questions}...{if}\:{everybody}\:{posts}\:{questions}\:{who} \\ $$$${will}\:{answer}... \\ $$$${so}\:{pls}\:{limit}\:{questions}... \\ $$

Question Number 49394 Answers: 1 Comments: 1