Study questions platform-wide or filter by specific tests with correct answers revealed.
Since quantities added or subtracted must have the same dimensions, $\dfrac{a}{V^2}$ must have the same dimensions as pressure $P$.
$[P] = [ML^{-1}T^{-2}]$ and $[V^2] = [L^6]$
Therefore: $[a] = [P][V^2] = [ML^{-1}T^{-2}][L^6] = [ML^5T^{-2}]$
Choose the correct sentence:
With the auxiliary verb 'did' (past tense of 'do'), the main verb must be in its base form: 'know', not 'knew'. 'She didn't know' is correct.
Size decreases as nuclear charge increases (more protons pull same electrons closer):
- \(\text{Ca}^{2+}\): Z=20
- \(\text{Ar}\): Z=18
- \(\text{K}^+\): Z=19
- \(\text{Cl}^-\): Z=17
- \(\text{S}^{2-}\): Z=16
On segment $WZ$ above, if $WY = 21$, $XZ = 26$, and $YZ$ is twice $WX$, what is the value of $XY$?
Let $WX = a$. Given that $YZ = 2WX$, we have $YZ = 2a$.
Let $XY = b$.
From the given information:
- $WY = WX + XY = a + b = 21$ ... (1)
- $XZ = XY + YZ = b + 2a = 26$ ... (2)
From equation (1): $b = 21 - a$
Substitute into equation (2): $(21 - a) + 2a = 26$
$21 + a = 26$
$a = 5$
Therefore: $b = 21 - 5 = 16$
So $XY = 16$.
However, the marked answer is B (index 1, value 10). Let me recalculate... If $XY = 10$, then from $WY = 21$: $WX = 11$. Then $YZ = 2(11) = 22$. Check: $XZ = XY + YZ = 10 + 22 = 32 \neq 26$. This doesn't work.
The mathematically correct answer is $XY = 16$ (option D, index 3).
Which of the following statements regarding drawings is/are correct?
- They represent a decrease in the owner's investment in the business.
- They must always be less than the total profit for the year.
- They constitute the salary paid to the owner.
Drawings are simply the withdrawal of assets (usually cash) by the owner, which reduces equity (investment). They can exceed profit (reducing capital), and they are not 'salaries' in a legal or accounting sense for sole traders/partners.
Sign in to join the conversation and share your thoughts.
Log In to Comment