Explanation

In a sentence, the main verb and the direct object usually come together without any formal separator.

Example: "She reads books." — "reads" (main verb) is directly followed by "books" (direct object).

Explanation

The rank of a matrix is the number of non-zero rows in its row echelon form.

It represents the maximum number of linearly independent rows or columns.

Explanation

A trial balance verifies the mathematical accuracy of ledger accounts by ensuring total debits equal total credits.

It helps detect posting or calculation errors before preparing final accounts.

Explanation

The bowed-out shape shows that as more of one good is produced, more units of the other must be given up.

This illustrates increasing opportunity costs due to resource specialization.

Explanation

A Bill of Exchange must be accepted by the drawee to become legally binding.

Acceptance indicates the drawee's agreement to pay the specified amount on the due date.

Explanation

The law of demand states that as the price of a commodity rises, the quantity demanded usually falls, and vice versa.

It defines an inverse relationship between price and quantity demanded.

Explanation

Explanation

Let's denote the weight of the man in the stationary lift as W and the weight in the accelerating lift as W'.

We know that W' / W = 2/3.

When the lift is accelerating downward with acceleration 'a', the apparent weight (W') is given by:

W' = W - ma

where m is the mass of the man.

Since W' / W = 2/3, we can write:

(W - ma) / W = 2/3

Substitute W = mg (where g is the acceleration due to gravity):

(mg - ma) / mg = 2/3

Simplify:

g - a = (2/3)g

a = g - (2/3)g

a = (1/3)g

a = g/3

Explanation

Explanation