Correct Answer: C. increase by N7,000

Correct Answer: B) parents would serve him

Explanation

This question is about Joseph and his second dream. In the Bible, Joseph was one of Jacob's twelve sons and was favored by his father. One night, Joseph had a dream where he and his brothers were binding sheaves in the field, and his brothers' sheaves bowed down to his sheaf. Joseph told his brothers about the dream, and they hated him because it seemed like he was saying he would rule over them. Later, Joseph had a second dream where the sun, moon, and eleven stars bowed down to him.

The question asks why Joseph's father rebuked him for his second dream. The correct answer is Option B: parents would serve him. This is because Joseph's father, Jacob, was one of the stars in Joseph's dream, and it was interpreted to mean that even his parents would bow down to him. This made Jacob angry and he rebuked Joseph for seeming to suggest that he would have authority over his parents.

It's important to note that dreams were believed to have significance in Biblical times and were often interpreted as messages from God. In Joseph's case, his dreams were seen as prophetic and foreshadowed his rise to power in Egypt.

To learn more about this story, you can read about Joseph in the book of Genesis in the Bible.

Correct Answer: D. proton

Correct Answer: C. a combination of two commodities from which he derive the same satisfaction

Correct Answer: A. moving an indicator on the screen

Explanation

\(Mean, (\bar {x}) = A + \frac{\sum fd}{\sum f}\)

= \(24.5 + \frac{-300}{120}\)

= \(24.5 - 2.5\)

= 22.0

Explanation

(a) The range of values of p must satisfy p\(^2\) - 4 x 4 x 1 \(\geq\) 0 which will simplify to (p - 4)(p + 4) \(\geq\) 0

Thus; p \(\geq\) -4 or p \(\leq\) 4

(b)(i) (1 + 3x)\(^6\) which is to be in ascending powers of x as (\(^6_0\))(3x)\(^o\) + (\(^6_1\))(3x)\(^1\) + (\(^6_2\))(3x)\(^2\) + (\(^6_3\))(3x)\(^3\) + (\(^6_4\))(3x)\(^4\) + (\(^6_5\))(3x)\(^5\) + (\(^6_6\))(3x)\(^6\)

= 1 + 18x + 135x\(^2\) + 540x\(^3\) + 1215x\(^4\) + 1458x\(^5\) + 729x\(^6\)

(b)(ii) Observe that 1 + 3x = 1.03

x = 0.01

Substituting for x in the expansion;

(1.03)\(^6\) = 1 + 18(0.01) + 135(0.01)\(^2\) + 540(0.01)\(^3\) + 1215(0.01)\(^4\) + 1458(0.01)\(^5\) + 729(0.01)\(^6\)

= 1 + 0.18 + 0.0135 + 0.00054 + 0.00001215 + ...

= 1.19405215

= 1.194 correct to four significant figures.

Correct Answer: A. branding

Correct Answer: C) 2-Methylpropan-1-ol

Explanation

It cannot be butan-1-ol since the acid is branched rather than straight chained. Rather, the answer should be 2-Methylpropan-1-ol since the acid has its functional group at the end.

Explanation

The sum of exterior angles = 360°

\(60° + 2(90 - m)° + 2(30 + 2m)° = 360°\)

\(60° + 180° - 2m° + 60° + 4m° = 360°\)

\(300° + 2m = 360°\)

\(\implies 2m = 360° - 300° = 60°\)

\(m = 30°\)

(b)

In \(\Delta QRS, \cos Q = \frac{\sqrt{3}}{2}\)

\(\cos Q = 0.8660 \implies Q = 30°\)

\(\therefore < SQR = 30°^\)

\(< PQS = 180° - 30° \) (angles on a straight line = 180°)

\(< PQS = 150°\)