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Simplify the Cube Root of 64/125?

To find ∛(64/125): ∛(64/125) = ∛64 / ∛125 We know that cube root of 64 is 4 The cube root of 125 is 5. Hence, ∛(64/125) = 4/5 ∛(64/125) =... View Article

___×17=51

Let the missing number be “a”. Therefore, a × 17 = 51 a = 51/17 a = 3 Thus, the value of missing number is 3. Hence,... View Article

Find the missing number in the following series: 2, 3, ?, 7, 11

Given series: 2, 3, ?, 7, 11. The given series is a list of prime numbers. We know that the list of prime numbers is 2, 3, 5, 7, 11,... View Article

Find the midpoint of the line segment joining the points (3,0) and (−1,4).

Let the points be A and B. (i.e) A (3, 0) = (x1, y1) B (-1, 4) = (x2, y2) The midpoint formula is: Midpoint of AB = ((x1+x2)/2, (y1+y2)/2... View Article

Let a, b, c are three non-coplanar vectors such that r1=a−b+c, r2=b+c−a, r3=c+a+b, r=2a−3b+4c. If r=λ1r1+λ2r2+λ3r3,then

λ1 = 7 λ1+λ3 = 6 λ1+λ2+λ3 = 4 λ2+λ3 = 2 Solution: Correct answer: Option... View Article

The function f(x) = x^4 + 7 is an

Even function Odd function Neither even nor odd None of these Correct Answer: Option (a) Even function. We know that the function f(x)... View Article

what is the point in geometry?

In Geometry, a point is represented by a dot, that defines the location in space. A point has no dimension (i.e) zero dimension. It means that... View Article

if cos9α= sinα then the value of α is

Given that, cos9α=sinα We know that sinα = cos(90°−α) cos9α=cos(90°−α) 9α=90°−α 10α=90° α=9° Hence, the value of α is 9°.... View Article

Two vectors are given by a= -2i+j-3k and b= 5i+3j-2k. if 3a+2b-c=0 then third vector c is

Given that, a = -2i+j-3k b = 5i+3j-2k 3a+2b-c= 0 3a+2b=c …(1) Now, substitute the values in (1) to find the third vector... View Article

What is the quartile skewness coefficient?

The quartile skewness coefficient is also known as Bowley's skewness. The skewness is calculated as the ratio of the difference between the upper... View Article

If the beams of electrons and protons move parallel to each other in the same direction, then they

a) attract each other b) Repel each other c) No relation d) Neither attract nor repel Answer: b) Repel each other Solution:... View Article

Obtain the equation [latex]vec{J}=sigma vec{E}[/latex] of Ohm’s law on the basis of drift velocity.

Solution: derivation From Ohm's law, we know I = V/R I is the current V is the voltage R is the resistance Current density, J =... View Article

If kinetic energy of electron is 3.045 Mev, then the total energy of electron is

Answer: 3.555 MeV Solution: Total Energy = Kinetic Energy + Rest mass energy = K.E + mc2 = 3.045 + 0.51 = 3.555 MeV... View Article

If a = 2i – 3j + 4k, find its components in yz plane.

Given vector: Here, ax = 2, ay = -3, az = 4 Components in yz plane = √(ax2 + ay2) = √[(-3)2 + (4)2] = √(9 + 16) = √25 = 5... View Article

What is the value of root 77?

The value of the square root of 77 is 8.77496438739...This can be estimated using the long division method as follows.... View Article

How to find the square root of 119?

The value of the square root of 119 is 10.9087121146...This can be estimated using the long division method as follows.... View Article

xy is a number that is divided by ab where xy < ab and gives a result 0.xyxyxy... then find ab.

The sequence 0.xyxyxyxy... can be written as:(xy÷100) + (xy÷10000) + (xy÷1000000) + ...= (xy÷100) × (1 +... View Article

Find the angle between the hour hand and the minute hand of a clock when the time is 3.25?

Given time: 3.25We know that the angle traced by the hour hand in 12 hours = 360° 3 hours 25 min = 3 hours + (25/60) hours = 3 + (5/12) =... View Article

What is the formula for matrix inverse?

The formula to find the inverse of matrix A is given below: A-1 = adj (A)/ |A|, where |A| ≠ 0 The matric inverse formula for a 2x2 matrix is:... View Article

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