The vertex occurs at x = 3. f(3) = -9 + 18 - 8 = 1.

Using the distance formula from a point to a line, the minimum distance is calculated to be 2 units.

The vertex occurs at x = 2. f(2) = 3(2^2) - 12(2) + 9 = 0.

The vertex form gives the minimum at x = 2. f(2) = 2.

The vertex occurs at x = 2. f(2) = 2.

The vertex form gives the minimum at x = 3. f(3) = 3^2 - 6(3) + 10 = 1.

The vertex occurs at x = 2. f(2) = 4(2^2) - 16(2) + 20 = 4.

The modulus is calculated as √(3^2 + 4^2) = √(9 + 16) = √25 = 5.

Molality (m) = moles of solute / kg of solvent = 10 moles / 5 kg = 2 m.

The molar mass of water is calculated as follows: H (1 g/mol) x 2 + O (16 g/mol) = 2 + 16 = 18 g/mol.

Molarity (M) = moles of solute / liters of solution = 5 moles / 2 L = 2.5 M.

Molarity (M) = moles of solute / liters of solution. Moles of NaCl = 58.5 g / 58.5 g/mol = 1 mol. Therefore, M = 1 mol / 1 L = 1 M.

Molarity (M) = moles of solute / liters of solution. Moles of NaCl = 5 g / 58.5 g/mol = 0.0855 moles. Volume of solution = 250 mL = 0.250 L. M = 0.0855 moles / 0.250 L = 0.342 M, approximately 0.34 M.

The molecular formula of Benzoic acid is C7H6O2.

The molecular formula of butan-2-one is C4H8O.

The molecular formula of butanoic acid is C4H8O2.

The molecular formula of formaldehyde is CH2O.

Glucose is a simple sugar with the molecular formula C6H12O6.

Glucose is a simple sugar with the molecular formula C6H12O6.

Momentum (p) = mass × velocity = 3 kg × 4 m/s = 12 kg·m/s.

Polyethylene is made from the polymerization of ethylene monomers.

The monomer of polystyrene is styrene, which polymerizes to form polystyrene.

Using the Nernst equation: E = E° - (0.0591/n) log([Zn²⁺]), where n=2.

The Nernst equation is E = E° - (RT/nF)lnQ, where E is the cell potential, E° is the standard potential, R is the gas constant, T is the temperature, n is the number of moles of electrons, and F is Faraday's constant.

The Nernst equation is used to determine the cell potential under non-standard conditions.

According to Newton's first law, if the object is moving with constant velocity, the net force is 0 N.

Normality (N) = n * molarity, where n = number of equivalents. For H2SO4, n = 2. Thus, N = 2 * 3 M = 6 N.

Molar mass of H2 = 2 g/mol. Number of moles = mass/molar mass = 10 g / 2 g/mol = 5 moles.

Molar mass of H2 = 2 g/mol. Number of moles = 10g/2g/mol = 5 moles.

Moles = Molarity x Volume (L) = 2 M x 0.250 L = 0.5 moles.