Correct Answer: C. fell out

Correct Answer: D. shan

Correct Answer: (b) 95

Correct Answer: A. marketing

Correct Answer: B. Electric current

Explanation

\((x + 1)(x + 2) = k(3x + 7)\)

\(x^{2} + 3x + 2 = 3kx + 7k \)

\(x^{2} + 3x - 3kx + 2 - 7k = 0\)

\(x^{2} + (3 - 3k)x + 2 - 7k = 0\)

For equal roots, \(b^{2} - 4ac = 0, a \neq 0\)

\(\therefore (3 - 3k)^{2} - 4(1)(2 - 7k) = 0\)

\(9 - 18k + 9k^{2} - 8 + 28k = 0\)

\(9k^{2} + 10k + 1 = 0 \)

\(9k(k + 1) + 1(k + 1) = 0 \implies (9k + 1)(k + 1) = 0\)

\(\implies k = -\frac{1}{9} ; k = -1\)

Correct Answer: A. 4

Explanation

In an alkene with six carbon atoms, there are 5 sigma (α) bonds (single bonds) between the carbon atoms. Additionally, there are 4 pi (π) bonds associated with the double bonds between the carbon atoms.

Correct Answer: D) The rate of the forward reaction is equal to the rate of the reverse reaction

Explanation

Option D: The rate of the forward reaction is equal to the rate of the reverse reaction.

It's important to understand that at equilibrium, the reaction doesn't stop, but the forward and reverse reactions continue to occur at the same rate. This means that the amount of reactants and products in the system remains constant over time, but not necessarily equal to each other.

Also, note that the equilibrium constant, K, is a value that can help describe the position of the equilibrium. It is the ratio of the concentrations of the products to the concentrations of the reactants, each raised to the power of their respective stoichiometric coefficients. The value of K gives an indication of how much products or reactants are favored at equilibrium. If K > 1, the products are favored, and if K< 1, the reactants are favored.

Correct Answer: C. covetous

Correct Answer: B. vertical integration