Correct Answer: A. rent

Explanation

Rent is typically not apportioned in proportion to turnover. Rent is a fixed cost, meaning it does not change with the level of output or sales (turnover). It is usually apportioned based on the space occupied by each department or activity, not on the level of sales or turnover. On the other hand, carriage outwards, commission, and discount allowed are variable costs that change with the level of sales or turnover, so they are typically apportioned in proportion to turnover

Correct Answer: A. obey rules and regulations

Correct Answer: D. wind deposition

Correct Answer: C. disease rate

Correct Answer: A. bell-shaped curve

Correct Answer: D. 81

Explanation

x\(^2\) - 18x to be a perfect square.

\((\frac{b}{2})^2\) is added to ax\(^2\) + bx + c in order to make it a perfect square.

\(x^2 - 18x + (\frac{-18}{2})^2\)

= \(x^2 - 18x + 81\)

Correct Answer: A. stock is sold and replaced

Correct Answer: D. Cos 295°

Correct Answer: C. 59.5°

Explanation

\(\overrightarrow{r} . \overrightarrow{t} = |\overrightarrow{r}||\overrightarrow{t}|\cos \theta\)

\(\overrightarrow{r} . \overrightarrow{t} = (3i + 4j) . (-5i + 12j) = -15 + 48 = 33\)

\(|\overrightarrow{r}| = \sqrt{3^{2} + 4^{2}} = \sqrt{25} = 5\)

\(|\overrightarrow{t}| = \sqrt{(-5)^{2} + 12^{2}| = \sqrt{169} = 13\)

\(\cos \theta = \frac{\overrightarrow{r} . \overrightarrow{t}}{|\overrightarrow{r}||\overrightarrow{t}|}\)

\(\cos \theta = \frac{33}{5 \times 13} = \frac{33}{65}\)

\(\theta = \cos^{-1} {\frac{33}{65}} \approxeq 59.5°\)

Correct Answer: B. man power-animal power-mechanical power