Explanation

The argument of the product of two complex numbers is the sum of their arguments.

This property comes from the multiplication of complex numbers in polar form.

Explanation

The function y = x + 100 is in the slope-intercept form y = mx + c, where:

m = 1 (slope)

c = 100 (y-intercept)

This confirms that the graph of the function is a straight line.

Explanation

The change in wavelength (Δλ) is given by the formula: Δλ = h/m0c (1 - cosθ), where θ is the scattering angle.

The maximum change in wavelength occurs when cosθ is -1, which happens when θ = 180°.

Explanation

Centripetal force is any force that keeps an object moving in a circular path, directed toward the center of the circle.

Tension in a string, gravitational force (like planets orbiting), and friction (like a car turning) can all provide centripetal force.

Explanation

For a polyatomic gas, Cv is typically 3R, accounting for translational and rotational degrees of freedom.

This value can increase with temperature as vibrational modes become excited, contributing to the specific heat.

Explanation

Let's denote the mass and radius of both objects as M and R, respectively.

For a thin-walled cylinder about its central axis, I_cylinder = MR².

For a solid sphere about its diameter, I_sphere = (2/5)MR².

The ratio is I_cylinder / I_sphere = MR² / ((2/5)MR²) = 5/2.

Explanation

A quadratic equation has the form ax² + bx + c = 0, and it typically has two roots. 

These roots can be real or complex, and they can be distinct or repeated (in the case of a double root).

Explanation

Explanation

Shout means بولنے یا زور سے کال کرنے کے لئے

Yell means بولنے یا زور سے کال کرنے کے لئے

Explanation

Degree of a term = sum of the powers of variables in that term.

Highest degree term is 8x²y³ with degree 2 + 3 = 5.