Correct Answer: C. National Income

Explanation

If the national income or output is increased, economic growth will also increase.

Correct Answer: B. the last supper

Correct Answer: B. \(\frac{65}{12}\)

Explanation

\({1_0^∫} x^2(x^3+2)^3\)dx

let \( u = x^3 + 2, du = 3x^2dx\)

when x = 1, u = 3

when x = 0, u = 2

dx = \(\frac{du}{3x^2}\)

\({3_2^∫}\) \(\frac{x^2[u]^3}{3x^2}\)

\({3_2^∫}\) \(\frac{u^3}{3}\) du

= \(\frac{u^4}{3*4}\)\(_2\)3

\(\frac{1}{12} [u^4]\)\(_2\)3

\(\frac{1}{12} [3^4 - 2^4]\)

\(\frac{1}{12}[81 - 16]\)

\(\frac{65}{12}\)

Correct Answer: D. 13/15

Correct Answer: C. Machine Language

Correct Answer: C) Potiphar

Explanation

The question is asking why Joseph was put in prison by Potiphar in Egypt. You are given four options to choose from. Option A says that Joseph was put in prison because he slept with Potiphar's wife. Option B says that he was put in prison because he was very lazy. Option C says that Potiphar's wife lied against Joseph and this is the correct answer. Option D says that Joseph was put in prison because he stole Pharaoh's cup.

According to the Bible, Joseph was a slave in Potiphar's household. Potiphar's wife tried to seduce Joseph, but he refused her advances. One day, she falsely accused Joseph of trying to seduce her, and Potiphar believed her story. As a result, Joseph was thrown into prison. Option C is the correct answer because Potiphar's wife lied against Joseph and this led to his imprisonment.

This story is an example of the consequences of standing up for what is right and refusing to give in to temptation. Joseph's faithfulness and integrity eventually led to his release from prison and his rise to a position of power in Egypt. It is important to always do what is right, even in difficult situations, as this will eventually lead to success and blessings.

Correct Answer: B) Hydroxyl groupd

Correct Answer: B. I and II only

Explanation

To determine which compounds release hydrogen gas (H_2) when reacted with sodium metal (Na), we look for compounds with an active (acidic) hydrogen atom attached to an electronegative atom like oxygen (such as in an -OH group):

1. CH_3COOH (Ethanoic acid / Acetic acid): Being a carboxylic acid, it readily reacts with sodium to form sodium ethanoate and release hydrogen gas:

2CH_3COOH + 2Na \rightarrow 2CH_3COONa + H_2 \uparrow

2. CH_3CH_2OH (Ethanol): Being an alcohol, it contains an -OH group and reacts with sodium metal to form sodium ethoxide and hydrogen gas:

2CH_3CH_2OH + 2Na \rightarrow 2CH_3CH_2ONa + H_2 \uparrow

3. CH_3COOCH_3 (Methyl ethanoate): Being an ester, it does not have an active hydrogen atom attached to oxygen, so it does not release hydrogen gas upon reaction with sodium metal.

Therefore, only I and II will release hydrogen gas.

Correct Answer: B. I and II only

Correct Answer: B. Manzil

Correct Answer: C. 140°