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Question Number 182429    Answers: 0   Comments: 1

Question Number 182461    Answers: 2   Comments: 0

Let x be a positive integer multiple of 17 that satisfies the inequality: 0 < ((5(x − 120))/x) < 1 Find the value of x.

$${Let}\:{x}\:{be}\:{a}\:{positive}\:{integer}\:{multiple}\:{of}\:\mathrm{17} \\ $$$${that}\:{satisfies}\:{the}\:{inequality}: \\ $$$$\:\mathrm{0}\:<\:\frac{\mathrm{5}\left({x}\:−\:\mathrm{120}\right)}{{x}}\:<\:\mathrm{1} \\ $$$$\:{Find}\:{the}\:{value}\:{of}\:{x}. \\ $$

Question Number 182459    Answers: 0   Comments: 21

Question Number 182457    Answers: 0   Comments: 0

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Question Number 182456    Answers: 0   Comments: 1

Question Number 182423    Answers: 4   Comments: 0

Question Number 182407    Answers: 1   Comments: 0

Question Number 182404    Answers: 0   Comments: 0

Question Number 182405    Answers: 1   Comments: 1

Zombie apocalypse has started. You are at point A (3,2). At point B (−5,4) there is a shelter. A river flows along the X axis. You are running at a constant velocity 1 ms^(−1) with an intention to reach the shelter but before that, you have to reach the river and fill-up your water jar. What is the lowest time it takes to reach B from A? [It takes 1 second time to fill the jar with water.] a) 11.0 s b) 8.24 s c) 10.1 s d) 9 s

$${Zombie}\:{apocalypse}\:{has}\:{started}.\:{You} \\ $$$${are}\:{at}\:{point}\:{A}\:\left(\mathrm{3},\mathrm{2}\right).\:{At}\:{point}\:{B}\:\left(−\mathrm{5},\mathrm{4}\right) \\ $$$${there}\:{is}\:{a}\:{shelter}.\:{A}\:{river}\:{flows}\:{along}\: \\ $$$${the}\:{X}\:{axis}.\:{You}\:{are}\:{running}\:{at}\:{a}\:{constant} \\ $$$${velocity}\:\mathrm{1}\:{ms}^{−\mathrm{1}} \:{with}\:{an}\:{intention}\:{to} \\ $$$${reach}\:{the}\:{shelter}\:{but}\:{before}\:{that},\:{you} \\ $$$${have}\:{to}\:{reach}\:{the}\:{river}\:{and}\:{fill}-{up}\:{your} \\ $$$${water}\:{jar}.\:{What}\:{is}\:{the}\:{lowest}\:{time}\:{it}\: \\ $$$${takes}\:{to}\:{reach}\:{B}\:{from}\:{A}?\:\left[{It}\:{takes}\:\mathrm{1}\:{second}\right. \\ $$$$\left.{time}\:{to}\:{fill}\:{the}\:{jar}\:{with}\:{water}.\right]\: \\ $$$$ \\ $$$$\left.{a}\right)\:\mathrm{11}.\mathrm{0}\:{s} \\ $$$$\left.{b}\right)\:\mathrm{8}.\mathrm{24}\:{s} \\ $$$$\left.{c}\right)\:\mathrm{10}.\mathrm{1}\:{s} \\ $$$$\left.{d}\right)\:\mathrm{9}\:{s} \\ $$

Question Number 182394    Answers: 1   Comments: 1

Question Number 182392    Answers: 2   Comments: 1

Question Number 182390    Answers: 0   Comments: 0

Question Number 182379    Answers: 2   Comments: 1

Can we show a+b<a^2 −ab+b^2 ∀ a,b∈N

$$\mathrm{Can}\:\mathrm{we}\:\mathrm{show}\:\mathrm{a}+\mathrm{b}<\mathrm{a}^{\mathrm{2}} −\mathrm{ab}+\mathrm{b}^{\mathrm{2}} \\ $$$$\forall\:\mathrm{a},\mathrm{b}\in\mathbb{N} \\ $$

Question Number 182370    Answers: 0   Comments: 1

How to find kenetic energy of one mol Helium gas?

$${How}\:{to}\:{find}\:{kenetic}\:{energy}\:{of}\:{one}\:{mol}\:{Helium}\:{gas}? \\ $$

Question Number 182369    Answers: 1   Comments: 2

Find radius and center of (S): (S): { ((x+y+z=4)),((y^2 +yz+z^2 =4(y+z))) :}

$${Find}\:{radius}\:{and}\:{center}\:{of}\:\left({S}\right): \\ $$$$\left({S}\right):\begin{cases}{{x}+{y}+{z}=\mathrm{4}}\\{{y}^{\mathrm{2}} +{yz}+{z}^{\mathrm{2}} =\mathrm{4}\left({y}+{z}\right)}\end{cases} \\ $$

Question Number 182368    Answers: 1   Comments: 0

find volume of region in R^3 given by 3∣x∣ + 4∣y∣ +3∣z∣ ≤12 is

$$\:\:\:\:\mathrm{find}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{region}\:\mathrm{in}\:\:\mathbb{R}^{\mathrm{3}} \:\:\mathrm{given}\:\mathrm{by}\: \\ $$$$\:\:\:\:\mathrm{3}\mid\mathrm{x}\mid\:+\:\mathrm{4}\mid\mathrm{y}\mid\:+\mathrm{3}\mid\mathrm{z}\mid\:\leqslant\mathrm{12}\:\:\mathrm{is} \\ $$

Question Number 182367    Answers: 1   Comments: 0

find volume of region bounded above by z = 1+(√(1−x^2 −y^2 )) and below by z = (√(x^2 +y^2 ))

$$ \\ $$$$\:\:\:\:\mathrm{find}\:\mathrm{volume}\:\mathrm{of}\:\:\mathrm{region}\:\mathrm{bounded}\:\mathrm{above}\: \\ $$$$\:\:\:\mathrm{by}\:\mathrm{z}\:=\:\mathrm{1}+\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} \:}\:\:\mathrm{and}\:\mathrm{below} \\ $$$$\:\:\:\:\mathrm{by}\:\:\:\mathrm{z}\:=\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \:}\: \\ $$

Question Number 182360    Answers: 1   Comments: 5

In equation ax^2 +bx+c=0, a,b,c are randomly selected from integers; what is the probability that roots will be real?

$$\mathrm{In}\:\mathrm{equation}\:\mathrm{ax}^{\mathrm{2}} +\mathrm{bx}+\mathrm{c}=\mathrm{0},\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{are} \\ $$$$\mathrm{randomly}\:\mathrm{selected}\:\mathrm{from}\:\mathrm{integers}; \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{roots} \\ $$$$\mathrm{will}\:\mathrm{be}\:\mathrm{real}? \\ $$

Question Number 182348    Answers: 1   Comments: 0

∫_0 ^2 ∫_0 ^3 ∫_0 ^4 e^(x+y+z) dx dy dz=?

$$\int_{\mathrm{0}} ^{\mathrm{2}} \int_{\mathrm{0}} ^{\mathrm{3}} \int_{\mathrm{0}} ^{\mathrm{4}} {e}^{{x}+{y}+{z}} {dx}\:{dy}\:{dz}=? \\ $$

Question Number 182347    Answers: 1   Comments: 0

s(x)=Σ_(nεN) ^(+oo ) ((n^2 (n+1)^2 )/(n!))x^n =?

$${s}\left({x}\right)=\underset{{n}\epsilon{N}} {\overset{+{oo}\:\:} {\sum}}\:\frac{{n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)^{\mathrm{2}} }{{n}!}{x}^{{n}} =? \\ $$

Question Number 182346    Answers: 1   Comments: 1

Question Number 182336    Answers: 1   Comments: 0

Question Number 182332    Answers: 2   Comments: 0

If , f (x) = 2cos^( 2) ((x/2)) −⌊ (1/3) +cos(x) ⌋ then find the range of : R_( f)

$$ \\ $$$$\mathrm{If}\:\:,\:\:\:{f}\:\left({x}\right)\:=\:\mathrm{2}{cos}^{\:\mathrm{2}} \left(\frac{{x}}{\mathrm{2}}\right)\:−\lfloor\:\frac{\mathrm{1}}{\mathrm{3}}\:+{cos}\left({x}\right)\:\rfloor \\ $$$$\:\:{then}\:{find}\:{the}\:{range}\:{of}\::\:\:\:{R}_{\:{f}} \\ $$

Question Number 182331    Answers: 1   Comments: 0

a box contains 5 white balls and some black balls. if the probability of drawing a black ball from the bag is twice the prbability of drawimg a white ball then find number of black balls.

$${a}\:{box}\:{contains}\:\mathrm{5}\:{white}\:{balls}\:{and}\:{some}\:{black} \\ $$$${balls}.\:{if}\:{the}\:{probability}\:{of}\:{drawing}\:{a}\:{black} \\ $$$${ball}\:{from}\:{the}\:{bag}\:{is}\:{twice}\:{the}\:{prbability} \\ $$$${of}\:{drawimg}\:{a}\:{white}\:{ball}\:{then}\:{find}\:{number} \\ $$$${of}\:{black}\:{balls}. \\ $$

Question Number 182315    Answers: 0   Comments: 1

Question Number 182311    Answers: 2   Comments: 5

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