Total resistance R = 4Ω + 12Ω = 16Ω. Voltage V = I * R = 2A * 16Ω = 32V.

Using the formula for parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/6 = 5/12, R_eq = 12/5 = 2.4Ω.

In series, R_eq = R1 + R2 = 4Ω + 6Ω = 10Ω.

2(3^2) - 5(3) + 1 = 18 - 15 + 1 = 4.

Substituting x = 5, we get 2(5) + 3 = 10 + 3 = 13.

3(5) + 2 = 15 + 2 = 17.

Molar mass of H2SO4 = 2*1 + 32 + 4*16 = 98 g/mol. Mass = 0.25 moles x 98 g/mol = 24.5 g.

|z| = √((-2)^2 + (2)^2) = √(4 + 4) = √8 = 2√2.

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

z² = (1 + i)² = 1² + 2(1)(i) + i² = 1 + 2i - 1 = 2i.

|z|^2 = (2^2 + 2^2) = 4 + 4 = 8.

The conjugate of z = 2 - 3i is 2 + 3i.

The imaginary part of the complex number z = 3 + 4i is 4.

z + z* = (3 + 4i) + (3 - 4i) = 6.

z + z̅ = (3 + 4i) + (3 - 4i) = 6.

The real part of the complex number z = 4 + 3i is 4.

The argument of z = 5 + 12i is given by arctan(12/5).

The determinant of \( B \) is \( 2*4 - 3*1 = 8 - 3 = 5 \).

A buffer solution typically consists of a weak acid and its conjugate base (salt), which helps to resist changes in pH when small amounts of acid or base are added.

A buffer solution is made from a weak acid and its conjugate base (salt), which helps maintain pH.

Efficiency (η) = 1 - (T_cold / T_hot) = 1 - (300 K / 500 K) = 0.4 or 40%.

The efficiency of a Carnot engine is given by η = 1 - T2/T1.

Efficiency (η) = 1 - (T_cold / T_hot) = 1 - (300 K / 500 K) = 0.4 or 40%.

The efficiency of a Carnot engine is determined by the temperatures of the hot and cold reservoirs, given by the formula η = 1 - (T_c/T_h).

Activation energy is the minimum energy required to initiate a chemical reaction.

Power P = V^2/R = 5^2/10 = 25/10 = 2.5W.

The voltage drop across the resistor is equal to the battery voltage, which is 15V.

The total resistance is 15Ω. The current I = V/R = 15V/15Ω = 1A. Voltage drop across 10Ω = I * R = 1A * 10Ω = 10V.

Power P = V^2/R = 24^2/8 = 576/8 = 72 W.

Total resistance R = 8Ω + 8Ω = 16Ω. Current I = V/R = 24V / 16Ω = 1.5A.