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arithmetic mean=(10000+10250+10790+9865+15350+10110)/6=66365/6=11060.833 Rs.

amoeba is a unicellular animal

Amoeba is a unicellular animal

Algae are plants not animals

let the number be X.

After increase of 25%, the number becomes = X + 0.25X = 1.25 X

After decrease of 20%, the number becomes = 1.25X - 0.25X = X

Ans: Therefore, the number remains the same.

11 is answer please mark best

11 is the correct answer

1)x=45°2)x=50°3)x=704)x=30°

1)X= 45°2)X=50°3)X=70°4)X=30°

x=45 x=50x=70x=60

1)x=45°2)x=50°3)x=70°4)x=30°

1 x=45 degree2 x= 50 degree

i) x=45ii ) x=50iii) x=70iv) x=30ii)

1)X=45°is the right answer

X =45 °

X=50°X=70°X= 30°

1)x=45°2) x=50°3)x=70°4)x=30° answer.

1=452=50 right answer

3=704=30

thnxx a lot

plz can u do this also

Assume tan x to be y then the question becomes to find the derivative of log y.

Hence, d/dx log (tan x) = 1/tan x . d/dx (tan x) ( using d/dx log x = 1/x)

= 1/tan x . sec2x.

= (cos x)/ (sin x). 1/ cos2x

= 1/ sin x cos x

This is the answer which if required can further be simplified as 2/ 2sin x cos x

which becomes 2/ sin 2x = 2 cosec 2x.

L.H.S=1/(secA+tanA)=1/(1/cosA+sinA/cosA)=cosA/(1+sinA)=cosA/(1+sinA)*(1-sinA)/(1-sinA)=cosA(1-sinA)/(1-sin^2A)=cosA(1-sinA)/cos^2A=(1-sinA)/cosA=R.H.S.Hence Proved

i don't know if i know i tell

4a²b²c² is the correct answer of the given question

Length , l = 4.4 metres

Breadth , b = 2.6 metres

Height , h = 1 metre

Volume of a cuboid = l b h

= 4.4 × 2.6 × 1

= 11.44 m³

The cuboid is melted and is made into a hollow cylindrical pipe.

But ,

Even if shape changes ,Volume of both the shapes remains same.

Volume of cuboid = Volume of hollow cylindrical pipe = 11.44 m³

==================================

Radius ,r = 30 cm = 0.3 metres

Thickness = 5 cm = 0.05 metre

Outer radius, R = inner radius + thickness= 0.3 + 0.05= 0.35 metres

Height of the pipe = Length of the pipe

Volume of a cylindrical pipe = π [ R² - r ² ] × h=22/7× [ (0.35)² - (0.3)² ] ×h

22/7× [ (0.35)² - (0.3)² ] ×h = 11.44 m³

22/7× [ 0.1225 - 0.09 ] ×h = 11.44 m³

22/7× 0.0325 × h = 11.44 m³

h =11.44*7/22*0.0325

=80.08/0.715

= 112 metres

Length of the pipe = 112 metres

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A branch point is a point such that if you go in a loop around it, you end elsewhere then where you started. A branch cut is what you use to make sense of this fact.

This is best illustrated with an example, so let us consider the complex logarithm. We have a definition of the logarithm as the inverse of the exponential functionexexfor the real numbers. But just as we can extend the exponential function to the complex numbers by:

ex+iy=exeiy=ex(cos(y)+isin(y))ex+iy=exeiy=ex(cos⁡(y)+isin⁡(y))

we would like to be able to extend the logarithm as well. Using the fact that we can express any complex number in the formreiθreiθ, let us naively define the logarithm as:

This will be fine for every point except00, becauselogloghas a singularity at that point. But that shouldn't worry us too much. What should concern us more is the following. Considering going around in a loop around00. The unit circle will do nicely.

option(d) is correct

..= (1/2) ∫ [ 2 sin 2x. sin x ] sin 3x dx

..= (1/2) ∫ [ cos ( 2x-x) - cos ( 2x+x) ] sin 3x dx

..= (1/2) ∫ ( cos x - cos 3x ) sin 3x dx

..= (1/4) ∫ [ ( 2 sin 3x cos x ) - ( 2 sin 3x cos 3x ) ] dx

..= (1/4) ∫ { [ sin ( 3x + x ) + sin ( 3x - x ) ] - ( sin 2·3x ) } dx

..= (1/4) ∫ [ ( sin 4x + sin 2x ) - ( sin 6x ) ] dx

..= (/4) { [ ( - cos 4x ) / 4 ] + [ ( - cos 2x ) / 2 ] - [ ( - cos 6x ) / 6 ] } + C

..= ( -1/16) cos 4x - (1/8) cos 2x + (1/24) cos 6x + C ................................ Ans.

but answer i couldn't match..plzz give last line solution..

if it is a perfect square of multiple of 3 the remainder will be 0. If it is a square of any no. other than 3 the remainder will be 1.Eg. 1^(2) = 1 2^(2) = 1 3^(2) = 0 4^(2) = 1 5^(2) = 1 6^(2) = 0 7^(2) = 1 8^(2) = 1 9^(2) = 0 10^(2) = 1

The remainder of any perfect square multiple of 3 is 1

the remainder of any perfrct square when divided by 3 is either 1 or 0

the reminder of any perfect square divided by 3 is 1 or 0

The remainder of any perfect square when divided by 3 is either 1 or 0

where you live

i Lu

50 min48 min40 min

aplaid this formula 1hour = 60 minit

50, 48 ,40 minutes is the correct answer of the given question

50 min48 min40 min

I don't know what say

For doing that129/2^2*5^7*7^17this has terminated decimal expansion1.7744876*10^-18

No, there is no natural number which has no successor

n,n+ 1 andn+ 2 are three consecutive positive integers.

When n = 2,

n(n+ 1) (n+ 2) = 2 (2 + 1)(2 + 2) = 2 × 3 × 4 = 24.

Thus,n(n+ 1) (n+ 2) is divisible by 24.

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∫ logx dx = ∫ logx *1 dx , Now using formula of integration by parts taking logx = 1st function and 1 as second function ,we get,

∫ logx *1 dx

=logx* ∫1 dx - ∫ { d/dx (logx) ∫ 1dx}dx

=x logx +c1 - ∫{ (1/x)*x }dx

= xlogx +c1 - x +c2

= xlogx -x + C (c1,c2 and C are integration constant)

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14)Theorem and Proof of angle sum property of a quadrilateral.

Prove that the sum of all the four angles of a quadrilateral is 360°.

Proof:Let ABCD be a quadrilateral. Join AC.

Clearly, ∠1 + ∠2 = ∠A ...... (i)

And, ∠3 + ∠4 = ∠C ...... (ii)

We know that the sum of the angles of a triangle is 180°.

Therefore, from ∆ABC, we have

∠2 + ∠4 + ∠B = 180° (Angle sum property of triangle)

From ∆ACD, we have

∠1 + ∠3 + ∠D = 180° (Angle sum property of triangle)

Adding the angles on either side, we get;

∠2 + ∠4 + ∠B + ∠1 + ∠3 + ∠D = 360°

⇒ (∠1 + ∠2) + ∠B + (∠3 + ∠4) + ∠D = 360°

⇒ ∠A + ∠B + ∠C + ∠D = 360°[using (i) and (ii)].

Hence, the sum of all the four angles of a quadrilateral is 360°.

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prove that the distributive property holds for the rational numbers verif with example

prove that the distributive property holds for the rational numbers verif with example

If both taps are openedthen the tank will be filled in1/90+1/60( water filled in one minute by both the tap)=2+3/1805/180= 180/5 minutes36 minutes

c must be 0 as ax+by+c passes through (0,0) so it will satisfies the given equation that is 0+0+c so c must be zero in this case.

D) (N+1)/N is greatest

Reason :Option A and C are less as there denominator is greater than numerator.

Now compare B and D

D) N+1/N = 1 + 1/N

B) N+2/(N+1)

= (N + 1 + 1)/(N+1)

= 1 + 1/N+1

Comparing them we get D) is greater