Correct Answer: B. V shaped valley

Explanation

E \(\frac{Fl}{Ae}\)

= \(\frac{35 \times 10^3 \times 50 \times 10^{-2}}{4 \times 10^{-4} \times 0.25 \times 10 ^{-3}}\)

= 1.75 x 10\(^{11}\)Nm\(^{-2}\)

Correct Answer: A. sales promotion

Correct Answer: B. \(\frac{8}{5}\)

Explanation

\(2x^{2} - 6x + 5 = 0 \implies a = 2, b = -6, c = 5\)

\(\alpha + \beta = \frac{-b}{a} = \frac{-(-6)}{2} = 3\)

\(\alpha\beta = \frac{c}{a} = \frac{5}{2} \)

\(\frac{\beta}{\alpha} + \frac{\alpha}{\beta} = \frac{\beta^{2} + \alpha^{2}}{\alpha\beta}\)

\(\frac{(\alpha + \beta)^{2} - 2\alpha\beta}{\alpha\beta} = \frac{3^{2} - 2(\frac{5}{2})}{\frac{5}{2}}\)

= \(\frac{4}{\frac{5}{2}} = \frac{8}{5}\)

Correct Answer: B) Barabbas

Explanation

During the trial of Jesus Christ, Pontius Pilate gave the Jews a choice to release one prisoner as a customary practice during the Passover feast. The Jews were given the choice to either release Jesus Christ or Barabbas, a notorious criminal. The Jews chose to release Barabbas and demanded that Jesus be crucified. Therefore, Barabbas was released from prison in place of Jesus Christ.

It is important to note that Barabbas was a political prisoner who was imprisoned for his involvement in an insurrection against the Roman government. The release of Barabbas instead of Jesus Christ is significant because it highlights the unjust nature of the crucifixion of Jesus.

To learn more about this, please read the relevant sections of the recommended textbooks.

Correct Answer: C.the enthalpy change of the reaction

Explanation

6(a) Effects of maize weevil on maize grains are: (i) destroys the endosperm, thereby, reducing the food value grains. ( (ii) reduces viability of infested grains as the embryos are damaged. (iii) reduces market value of infested grains. (iv) predisposes infested grains to other pathogenic microorganisms attack. (v) reduces the quantity of the maize grains and produce.

(b) General control measures of insect pests of grains in storage are: (i) Early harvesting of grains such as maize, guinea corn and cowpea reduces the level of infestation and damage in the field. (ii) Proper cleaning and fumigation of sores before grains are stored helps to reduce the level of infestation and damage. (iii) Storage of maize -cobs with or without the husks and guinea corn heads over fire places where they are regularly smoked has been found to be effective in controlling the insect pests (iv) Storage and fumigation of she in silos or sealed polythene bags/ containers. (v) maize cob stored in cribs and unthreshed guinea corn heads in rhumbus should be treated with insecticides such as Actellic 25 dust or liquid, (vi) Grains should be dried to reduce their moisture content to the desired level to kill the eggs and larva of pests.

(c) Insect vectors of crop diseases are: (i) groundnut rosette - aphid (ii) maize streak - Piercing and sucking insects e.g capsid or scale insects. (iii) cassava mosaic - white fly.

Explanation

(a) (i) Area of farmland in hectares

Length 0.2km =200m

Breadth = 2,200m

Area of rectangle = length x breadth

Area of farmland =200m x 2,200 = 440,000m²

1 hectare = 10,000m\(^2\)

Area of farmland in hectares = \(\frac{440,000} {10,000}\)

(b) (i) Importance of balance sheet to a farm manager

- Provides information on owner's equity

- Shows the extent of liability accrued over the year/ Shows assets and liabilities of the farm

- It is an indicator of farm's liquidity

- Assists in the assessment of management performance

- Shows the financial position of the farm

- For tax purposes For budgeting and planning.

(b) Sources of agricultural loans in West Africa

-Commercial Cooperative societies

- Family members/ relatives/personal/savings

- Agricultural banks

- Non-governmental organizations (NGOS)

- National Directorate of Employment (NDE)

- Private money lenders

- Microfinance Banks

- Marketing agencies

- Friends

-Micro Credit Scheme

- Bank of Industry

(c) Reasons why the floor of a deep litter house is preferably covered with wood shavings instead of sawdust

- Sawdust is very fine and can easily be inhaled by chickens

-Inhalation of sawdust by chickens can cause respiratory problems/nasal congestion

- Sawdust harbours pathogens

- Sawdusts cakes easily

- Wood shavings absorb litter better than sawdust

Explanation

Since the class intervals are not equal, we draw the histogram in a way that the area of the bars, rather than the height must be proportional to the frequency. On the vertical scale, we plot frequency density instead of frequency where frequency density = frequency/ class width.

Correct Answer: B. Demand will be greater than supply