The average temperature of the Earth is approximately 15°C.

The axis of symmetry for a parabola in vertex form y = a(x - h)^2 + k is x = h. Here, h = 2.

The balanced equation for the combustion of propane is C3H8 + 5O2 → 3CO2 + 4H2O.

The capital of India is New Delhi.

Change in internal energy (ΔU) = Q - W = -200 J - 500 J = -300 J.

The chemical formula for sulfuric acid is H2SO4, which consists of two hydrogen atoms, one sulfur atom, and four oxygen atoms.

Circumference = 2 * π * radius = 2 * π * 7 = 14π cm

For a right triangle, the circumradius R = hypotenuse/2 = 5/2 = 2.5 cm.

Using the binomial theorem, the coefficient of x^2 in (2x + 5)^4 is given by 4C2 * (2)^2 * (5)^2 = 6 * 4 * 25 = 600.

The coefficient of x^2 in (2x - 5)^5 is given by 5C2 * (2)^2 * (-5)^3 = 10 * 4 * (-125) = -5000.

The coefficient of x^3 in (3x + 2)^5 is given by 5C3 * (3)^3 * (2)^2 = 10 * 27 * 4 = 1080.

The conjugate base of sulfuric acid (H2SO4) is HSO4-.

Using the formula sin(c) = n2/n1, we find sin(c) = 1/1.5, thus c = sin^(-1)(2/3) ≈ 41.8 degrees.

Set f'(x) = 2x - 4 = 0; solving gives x = 2.

Find f'(x) = 2x - 4. Set f'(x) = 0, giving 2x - 4 = 0, hence x = 2.

India's current account deficit is estimated to be around 2.5% of GDP in 2023.

As of 2023, the exchange rate is approximately 78 INR for 1 USD.

As of 2023, the inflation rate in India is reported to be around 6.5%.

The literacy rate in India is reported to be around 78% as of 2023.

The unemployment rate in India is reported to be around 5.8% as of 2023.

A sound that is 10 times more intense than the reference level is 10 dB.

Using the power rule, f'(x) = 12x^3 - 10x.

Using the power rule, f'(x) = 25x^4 - 3.

The derivative f'(x) = d/dx(ln(x)) = 1/x.

Using the product rule, f'(x) = 2x * sin(x) + x^2 * cos(x).

Using the product rule, f'(x) = 3x^2 * ln(x) + x^2.

The derivative f'(x) = d/dx(3x^2 + 5x - 7) = 6x + 5.

The determinant of a 2x2 matrix is calculated as ad - bc.

Using the distance formula: d = √[(3 - 0)² + (4 - 0)²] = √[9 + 16] = √25 = 5.

Using the distance formula: d = √[(3 - 3)² + (1 - 7)²] = √[0 + 36] = √36 = 6.