One joule is defined as one newton meter (N·m).

Unit vector = A/|A| = (6i - 8j)/√(6^2 + (-8)^2) = (6i - 8j)/10 = 3/5 i - 4/5 j.

The United Nations Framework Convention on Climate Change (UNFCCC) was established in 1992 during the Earth Summit in Rio de Janeiro.

The United Nations was founded in 1945 after World War II to promote peace and cooperation among countries.

The Universal Declaration of Human Rights was adopted by the United Nations General Assembly on December 10, 1948.

Flying buttresses were primarily developed during the Medieval period, particularly in Gothic architecture, to support the walls of cathedrals.

'Quintessential' means representing the most perfect or typical example of a quality or class.

The Renaissance period saw the significant development of perspective in painting, allowing artists to create a sense of depth and realism in their works.

Rhetorical questions are used to encourage critical thinking, prompting the reader to reflect on the issues presented.

(1 + i)^2 = 1^2 + 2(1)(i) + i^2 = 1 + 2i - 1 = 2.

Using the power of a power property, (a^m)^n = a^(m*n), we get (x^2)^3 = x^(2*3) = x^6.

Using the right triangle definition, cos(tan^(-1)(x)) = adjacent/hypotenuse = 1/√(1+x^2).

Since 32 = 2^5, log2(32) = 5.

Since 32 = 2^5, log_2(32) = 5.

Using the right triangle definition, sin(tan^(-1)(x)) = opposite/hypotenuse = x/√(1+x^2).

sin^(-1)(-1) corresponds to the angle whose sine is -1, which is -π/2.

Since π/4 is in the range of sin^(-1), sin^(-1)(sin(π/4)) = π/4.

sin^(-1)(√3/2) corresponds to the angle whose sine is √3/2, which is π/3.

tan^(-1)(√3) corresponds to the angle whose tangent is √3, which is π/3.

Standard Deviation = √Variance = √25 = 5.

To find the vertex, use the formula x = -b/(2a). Here, a = 2, b = -4, so x = 1. Plugging x = 1 into the equation gives y = -1.

The vertices of the ellipse 9x^2 + 16y^2 = 144 are located at (±3, 0).

Viscosity measures a fluid's resistance to flow; higher viscosity means the fluid flows less easily.

Volume = side³, so side = ∛125 cm³ = 5 cm.

The word 'pleasant' indicates good weather suitable for a picnic.

Maximum possible weight = Measured weight + Absolute error = 10 + 0.1 = 10.1 kg.

True weight range = Measured value ± Absolute error = 200 ± 5 = 195 g to 205 g.

'Ambiguous' means open to more than one interpretation; not having one obvious meaning.

'Ameliorate' means to make something better or improve it, making 'to improve' the correct answer.

'Ameliorate' means to make something better or improve it, making 'to improve' the correct answer.