Correct Answer: A. indeed the creator of all

Correct Answer: c. Temperature

Explanation

(a) \(3y - 2x = 21 ... (1)\)

\(4y + 5x = 5 .... (2)\)

Multiply (1) by 4 and (2) by 3 so we have,

\(12y - 8x = 84 ... (3)\)

\(12y + 15x = 15 ... (4)\)

(3) - (4) : \(-8x - 15x = 69 \implies -23x = 69\)

\(x = \frac{69}{-23} = -3\)

Put x = -3 in (1),

\(3y - 2(-3) = 21\)

\(3y + 6 = 21 \implies 3y = 21 - 6 = 15\)

\(y = \frac{15}{3} = 5\)

\(x, y = -3, 5\).

(b)(i) Probability of losing

Probability of winning = \(\frac{1}{6}\)

\(\therefore\) Probability of losing = \(1 - \frac{1}{6} = \frac{5}{6}\).

(ii) Losing $20.00 after two picks = picking the card numbered 1 twice.

= \(\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}\)

Correct Answer: B. \(\frac{1}{2}\)

Explanation

\(2^{5x} \div 2^x = \sqrt[5]{2^{10}}\)

applying the laws of indices

\(2^{5x - x} = 2^{10(1/5)}\)

\(2^{4x} = 2^{10(1/5)}\)

\(2^{4x} = 2^2\)

Equating the powers

then 4x = 2

therefore, x = \(\frac{2}{4}\) = \(\frac{1}{2}\)

Correct Answer: C. 300ms^-1

Explanation

F = ma

Therefore, a = \(\frac{F}{m}\)

a = \(\frac{7.5 \times 10^{3}}{0.025}\)

a = 3 x 10⁵m/s²

using V² = U² + 2ax;

V² = 0² + (2 x 3 x 10⁵ x 0.15)

Therefore V = 300 m/s

Correct Answer: A. critical

Correct Answer: B. not hearing the word of the Lord

Correct Answer: D) Peter

Explanation

The question is asking who said the statement Now I know that the Lord has sent his angel to deliver me.... The options are Joseph, Moses, Paul, Peter, and Stephen. The correct answer is option D, Peter.

Peter was one of the twelve apostles of Jesus Christ and was a leader in the early Christian church. In the book of Acts in the Bible, Peter was imprisoned by King Herod, and while he was sleeping, an angel of the Lord appeared to him, freed him from his chains, and led him out of the prison. When Peter realized that the Lord had sent an angel to deliver him, he made the statement in question.

It is important to note that Joseph, Moses, Paul, and Stephen were also important figures in the Bible, but they did not make the statement in question. Joseph was sold into slavery by his jealous brothers but later became a powerful leader in Egypt. Moses led the Israelites out of slavery in Egypt and received the Ten Commandments from God. Paul was a Pharisee who later became an apostle of Jesus and wrote several books in the New Testament. Stephen was one of the first deacons in the early Christian church and was stoned to death for his faith.

Understanding the stories and teachings of these important figures in the Bible can help us grow in our faith and knowledge of God.

Correct Answer: C. proposed programme of a political party

Correct Answer: C. Mercury