Correct Answer: C. supply of labour

Correct Answer: D. 400 cm\(^2\), 80 cm

Explanation

Using Pythagoras theorem

⇒ \((20\sqrt2)2 = x^2 + x^2\)

⇒ 800 = \(2x^2\)

⇒ 400 = \(x^2\)

⇒ x = \(\sqrt400\) = 20 cm

∴ Area of a square = \(x^2 = 20^2 = 400 cm^2\)

∴ Perimeter of a square = 4x = 4 x 20 = 80 cm

Explanation

(a) Methods of irrigating a small nurse (i) manual sprinkling e.g. hand, brooms, brush. (ii) Use of watering Can (iii) Drip irrigation (iv) Channel irrigation (v) Sprinkler irrigation.

(b) Factors to be considered in choosing the method of: (i) surface irrigation (1) topography/sloppy land (2) soil type (3) type of crop to be grown (4) size of the farm/land. . (ii) Surface irrigation: (1) permeability of substratum (2) level of water table (3) soil texture / capillarity (4) soil structure

(c) Advantage of subsurface irrigation: (i) By irrigation it is possible to maintain water at optimum depth for crop need (ii) In addition, water use efficiency is high (iii) It also ensures low evaporation losses from soils (iv) doers not create obstructions/obstacles when carrying out cultural practices

(d) Reduction of disease built up in an irrigated farm may be achieved through: (i) use of disease resistant varieties (ii) crop rotation (iii) use of appropriate chemicals, (iv) use of clean tools (v) use of clean/healthy planting, materials (vi) destruction of diseased crops to prevent its spread (vii) avoidance of excessive irrigation/drain excess water (viii) weed control

Explanation

(a) ABI\(_{Hex}\) to octal

A=1010 B=1011 1=0001 -------- Step 1

= 101010110001\(_2\)

= 101=5 010=2 110=6 001=1 ---------- Step 2

=5261\(_{octal}\) ------ Step 3

= AB1\(_{16}\)

= Ax16\(^2\) + Bx16\(^1\) + 1x16\(^0\)

= 10 X 16\(_2\) + 11 X 16\(_1\) + 1 X 16\(_0\)

= 2560 + 176 + 1

= 2737\(_{10}\)

It has to be converted to octal

= 5261

(b) 1110111.101\(_2\) to Denary

64=1 32=1 16=1 8=0 4=1 2=1 1=1

64+32+16+0+4+2+1

=96+16+7

=96+23

=119

2nd step fractional part

-1 -2 -3

.1 0 1

=1x2\(^{-1}\) + 0x2\(^{-2}\) + 1x2\(^{-3}\)

= \(\frac{1}{2^1}\) + \(\frac{0}{2^2}\) + \(\frac{1}{2^3}\)

= \(\frac{1}{4}\) + 0 + \(\frac{1}{8}\)

= \(\frac{5}{8}\)

= 0.625

: 1110111.101\(_2\) = 119.625

(c)507\(_{octal}\) to Binary

5=101 0=000 9=111

=101000111\(_2\)

OR

507\(_8\) to decimal

=5x8\(^2\) + 0x8\(^1\) + 7x8\(^0\)

= 5x64+0+7

=327\(_{10}\)

Conversion to binary

327\(_{10}\) to binary

=101000111\(_2\)

Correct Answer: C. exclude cheap Japanese textiles

Correct Answer: B. dares

Correct Answer: C. optimistic attitude

Correct Answer: B) Tertullus

Explanation

This question is asking who represented the Jews in their case against Paul before Governor Felix. The options are Alexanda, Tertullus, Apollo, and Gamaliel. The correct answer is Tertullus.

In the Book of Acts in the Bible, it is recorded that the Jews accused Paul of being a troublemaker and a ringleader of a sect. They brought charges against him before Governor Felix, who was the Roman governor of Judea at that time. Tertullus was the lawyer or orator who represented the Jews in their case against Paul. He made a speech before Felix, accusing Paul of stirring up riots among the Jews and desecrating the temple.

It is worth noting that Tertullus' accusations were false, and Paul was eventually acquitted of all charges. This event highlights the persecution that early Christians faced for their faith and their willingness to defend it.

In summary, Tertullus was the one who represented the Jews in their case against Paul before Governor Felix.

Correct Answer: A. marketing mix

Explanation

A marketing mix includes multiple areas of focus as part of a comprehensive marketing plan. The term often refers to a common classification that began as the four Ps: product, price, place, and promotion.

Correct Answer: (A) Die Intestate