At constant pressure, the relationship is given by ΔH = ΔU + PΔV.

1000 divided by 6 gives a quotient of 166 and a remainder of 4.

145 divided by 12 gives a remainder of 1.

250 divided by 7 gives a quotient of 35 and a remainder of 5.

256 divided by 7 gives a quotient of 36 and a remainder of 4.

The sum of the digits of 987654 is 39, which is divisible by 9, hence the remainder is 0.

The repeating unit in polyethylene is -CH2-CH2-, derived from ethylene monomers.

The repeating unit of polystyrene is derived from the monomer styrene, which has the structure -CH=CH2-.

Using Ohm's law (R = V/I), R = 25V / 5A = 5Ω.

Resistance R = ρ * (L/A). Here, R = (1.7 x 10^-8 Ωm) * (2 m / (1 x 10^-6 m²)) = 0.034 Ω.

Resistivity ρ = R * (A / L) = 10 * (1 x 10^-6 / 5) = 2 x 10^-5 Ω·m.

Resistivity (ρ) = R * (A / L) = 4 * (1 x 10^-6 / 2) = 4 x 10^-6 Ω·m.

The resonant frequency (f) of a series RLC circuit is given by the formula f = 1/(2π√(LC)).

The resting membrane potential of a typical neuron is approximately -70 mV.

(15 + 5) = 20, then 20 × 2 = 40.

(15 + 5) = 20, so 20 × 2 = 40.

15 ÷ 3 = 5, then 5 × 4 = 20.

(a - b)(a + b) = a² - b², which is the difference of squares.

(x + y)(x - y) = x² - y², which is the difference of squares.

When subtracting, the result should be rounded to the least number of decimal places. 5.00 has two decimal places and 2.1 has one, so the result should be rounded to one decimal place: 5.00 - 2.1 = 2.90 becomes 2.9.

6.022 rounded to 3 significant figures is 6.02.

6.022 rounded to three significant figures is 6.02 × 10^23.

The result should be rounded to one decimal place, giving 12.4.

When adding, the result should be rounded to the least number of decimal places. 12.11 has two decimal places and 0.3 has one, so the result should be rounded to one decimal place: 12.41 becomes 12.4.

Adding 1011 and 1101 in binary results in 11110.

Adding the polynomials gives (3x^2 + x^2) + (2x - x) + (1 + 4) = 4x^2 + x + 5.

Cytokinesis results in the physical separation of the cytoplasm, leading to the formation of two daughter cells.

Destructive interference occurs when two waves of equal amplitude meet out of phase, resulting in an amplitude of zero.

In division, the result should have the same number of significant figures as the measurement with the least significant figures. 100.0 has 4 significant figures and 4.00 has 3 significant figures, so the answer should be 25.0 with 3 significant figures.

150.0 has four significant figures and 3.00 has three significant figures. The result should be reported with three significant figures: 50.0.