Correct Answer: D. vain

Correct Answer: D. population pressure

Correct Answer: C. 3, -7

Explanation

\(\frac{y^2 - 9y + 18}{y^2 + 4y - 21}\)

Factorize the denominator;

Y² + 7y - 3y - 21

= y(y + 7) -3 (y + 7)

= (y - 3)(y + 7)

Hence the expression \(\frac{y^2 - 9y + 18}{y^2 + 4y - 21}\) is undefined

when y² + 4y - 21 = 0

ie. y = 3 or -7

Correct Answer: D. Supply

Correct Answer: D. Acts of the Apostles

Explanation

The account of the Apostle Paul's conversion and subsequent missionary journeys is found in the 'Acts of the Apostles'. The book of Acts, written by Luke, provides a detailed account of Paul's dramatic conversion on the road to Damascus and his subsequent missionary journeys.

Correct Answer: C. hospitality

Correct Answer: B. 8.71N,61°

Explanation

Fx= 12cos32°-16cos26° = -4.20N (right is taken +ve and left is taken -ve)

Fy=12sin32°+16sin26°-21 = -7.63N (up is taken +ve and down is taken -ve)

\(R^2\)= 4.202+7.632

⇒\(R^2\) = 75.86

⇒ R=√75.86

∴R = 8.71 N

tan θ=\(\frac{opp}{adj}\)

⇒tan θ=\(\frac{7.63}{4.20}\)

⇒tan θ =1.8095

⇒ θ = \(tan^-1\) (1.8095)

θ = 61°

∴The angle of the resultant force with the x-axis is 61°

Explanation

(a)The Post Office aids business through the following ways;

(1) It is an agent to business. It is also a means payment for business, It aids parcel/mail delivery etc.

(2) It makes provision for letter boxes and mail bags as we as business reply services.

(3) It provides franking machines etc. Records delivery services and express ma services and registered mail.

(b)Explanation:

(i)Agent to business:The post office acts as an agent to business through mail order business operation and delivery of goods.

(ii)Means of payment for business: Could be through remittance handling

(iii)Parcel/mail delivery etc: Post office undertakes the dispatch and delivery of parcel and mails on behalf of business organisations

(iv) Provision of letter boxes and mail bags: Post office provides letter boxes and private mail bags in which brochures and handbills are placed for the attention of their owners.

(v)Business reply services: This service enables potential buyers responding to business advertisement to ser : replies without paying for postage.

(vi)Provision of franking machines: Franking machines are used for prepaid postage and as forms of advertisement. It is also used in imprecision /tamp/ envelope etc.

(vii) Post restante Businessmen and sales persons travelling to different parts of the country can draw their mails without necessary owning a letter box in each town or city they visit, through post restante.

(viii)Recorded delivery: The post office provides evidence! proof of delivery of parcels and mails to business.

(ix)Express mail services:The post office assists in the delivery of mails and parcels that require urgent delivery to the addressees.

(x)Registered mail: in this, the post office ensures that letter/parcels posted are not lost in transit.

Correct Answer: D. Ions

Correct Answer: C. America is a place where people like to visit