Correct Answer: B. five pillars

Correct Answer: D. the speed of each colour of light in the glass is proportional to the angle of refraction in he prism

Correct Answer: D. inadequate means of transportation

Correct Answer: D) trial balance

Correct Answer: B) Striking a balance between civil and divine authorities

Explanation

The question is asking about the meaning of the quotation Render to Caesar the things that are Caesar's and to God the things that are God's. This quotation emphasizes something important, and we need to choose the option that best represents what that is.

Option A says that the quotation emphasizes obedience to divine authority. While obedience to God is indeed important, this answer doesn't fully capture the meaning of the quotation.

Option B is the correct answer. It says that the quotation emphasizes striking a balance between civil and divine authorities. This answer is correct because it acknowledges that there are both civil and divine authorities in our lives, and we need to respect them both.

Option C says that the quotation emphasizes disobedience to civil authority. This answer is incorrect because it goes against the message of the quotation. The quotation doesn't encourage disobedience, but rather respecting both civil and divine authorities.

Option D says that the quotation emphasizes total rejection of both divine and civil authorities. This answer is also incorrect because it goes against the message of the quotation. The quotation doesn't encourage rejection, but rather respecting both civil and divine authorities.

In summary, the correct answer to this question is Option B, which says that the quotation emphasizes striking a balance between civil and divine authorities. We should respect both authorities and give to each what is due to them.

Correct Answer: B. ensure efficient allocation of resources in the economic system

Correct Answer: A) 0.05

Explanation

First, we need to determine the number of moles of bromine (Br₂) that are produced. We can do this by using the molar volume of gas at standard temperature and pressure (s.t.p.), which is 22.4 dm³/mol.

To find the moles of Br₂, we can use the formula:

\[\text{moles of Br}_2 = \frac{\text{volume of Br}_2}{\text{molar volume of gas at s.t.p.}}\]

Plugging in the given values:

\[\text{moles of Br}_2 = \frac{0.56 \ \text{dm}^3}{22.4 \ \text{dm}^3/\text{mol}} = 0.025 \ \text{mol}\]

Now, we need to determine the number of moles of electrons required for the half-cell reaction. The balanced half-cell reaction is:

2Br^- \(\rightarrow\) Br₂ + 2e^-

This means that 2 moles of electrons are required for every 1 mole of Br₂ produced. So, we can find the moles of electrons needed by multiplying the moles of Br₂ by 2:

\[\text{moles of electrons} = 0.025 \ \text{mol} \times 2 = 0.05 \ \text{mol}\]

Therefore, 0.05 moles of electrons will be required to produce 0.56 dm³ of bromine at s.t.p., making Option A the correct answer.

Correct Answer: B. 17.55j - 13.78i

Explanation

Converting the forces to their rectangular forms

F = (10N, 060º)

Fx = 10cos60 = 5i

fy = 10sin60 = 8.66j

F = 5i + 8.66j

P = (15N, 120º)

Px = 15cos120 = -7.5i

py = 15sin120 = 12.99j

P = -7.5i + 12.99j

Q = (12N, 200º)

Qx = 12cos200 = -11.28i

Qy = 12sin200 = -4.1j

Q = -11.28i -4.1j

The resultant force = F + P + Q

R = 5i + 8.66j + (-7.5i + 12.99j) + (-11.28i -4.1j)

R = -13.78i + 17.55j

Correct Answer: B. the glory will be given to a woman

Explanation

In Judges 4:9, when Barak requested that Deborah accompany him to battle against Jabin, Deborah responded that the glory of the victory would be given to a woman. This prophecy was fulfilled when Jael, another woman, played a crucial role in the defeat of the Canaanite general Sisera.

Correct Answer: B) orange to green