Correct Answer: B. \(5y + 4x ≤ 20\)

Explanation

First, we find the equation of the boundary line using the two intercepts.The slope is

m = \(\frac{4 - 0}{0 - 5} = {4}{5}\)

The y-intercept is 4

The slope-intercept form of the equation is therefore

y = -\(\frac{4}{5} x + 4\)

\(\implies y + \frac{4}{5} x = 4\)

Multiply both sides by \(\frac{5}{4}\)

\(\implies\frac{5}{4}(y +\frac{4}{5} x) = 4\times\frac{5}{4}\)

\(\implies\frac{5}{4} y + x = 5\)

Multiply both sides by 4

⇒ \(5y + 4x = 20\)

The inequality is therefore either \(5y + 4x ≤ 20\) or \(5y + 4x ≥ 20.\)

Using the test point (0, 0) -The origin

⇒ 5(0) + 4(0) ≤ 20

⇒ 0 ≤ 20 (True)

∴ The inequality is \(5y + 4x ≤ 20\)

Correct Answer: C. no respect for the peoples opinion

Explanation

The French policy of assimilation has no regard for the people's culture unlike the indirect rule system of British in West Africa.

Correct Answer: A. modesty

Explanation

(a) \(u=6ms^{-1};s=70m;v=20ms^{-1}a=?\)

\(v^2=u^2+2as\)

⇒\(a=\frac{v^2 - u^2}{2s}=\frac{20^2 - 6^2}{2(70)}\)

\(a=\frac{400 - 36}{140}=\frac{364}{140}\)

\(∴a=2.6ms^{-2}\)(to 1 d.p)

(b) \(u=6ms^{-1};s=70m;v=20ms^{-1}t=?\)

v=u+at

⇒\(t=\frac{v - u}{a}=\frac{20 - 6}{2.6}\)

\(∴t=\frac{14}{2.6}=5.4s\)

Correct Answer: D. Retailers

Correct Answer: B. transverse wave

Correct Answer: A) The Lord is peace

Explanation

The question is asking about the name of the altar Gideon built at the oak in Oprah. The options provided are: A) The Lord is peace, B) The Lord is great, C) The Lord is sufficient, and D) The Lord is merciful

The correct option is A) The Lord is peace.

Gideon was a judge and leader in Israel, chosen by God to save his people from the oppression of the Midianites. In the book of Judges, it is recorded that Gideon built an altar to the Lord at the oak in Oprah after God gave him a sign that he would be victorious in battle against the Midianites. Gideon named the altar The Lord is peace to acknowledge God's faithfulness and provision.

It is important to note that in the Bible, altars were places of worship and sacrifice. They were often used to commemorate significant events or encounters with God. The act of building an altar was a way of showing gratitude and reverence to God.

In summary, the altar Gideon built at the oak in Oprah was called The Lord is peace. It was a way for Gideon to acknowledge God's faithfulness and provision. Altars were important places of worship and sacrifice in the Bible and were often used to commemorate significant events or encounters with God.

Correct Answer: A. always settles in the magnetic N-S direction.

Explanation

The conclusive test for magnetism in a steel bar suspended horizontally at its midpoint is when the bar always settles in the magnetic N-S (North-South) direction.

Correct Answer: D. esterification

Correct Answer: B. 84\(^o\)

Explanation

L = \(\frac{\theta}{360} \times 2 \pi r\)

22 = \(\frac{theta}{360} \times 2 \times \frac{22}{7} \times 15\)

\(\theta = \frac{22 \times 360 \times 7}{2 \times 22 \times 15}\)

\(\theta\) = 84\(^o\)