Correct Answer: C. isotopes

Explanation

XWZ = 90° - (45° + 23°) = 22°

WYX = 180° - (45° + 95°) = 40°

< XZW = 180° - (89° + 22°) = 69°

(a)(i) \(\frac{XY}{\sin 95} = \frac{180}{\sin 40°}\)

\(XY = \frac{180 \sin 95}{\sin 40} = 278.96m\)

\(\approxeq 279m\)

(ii) \(\frac{ZW}{\sin 89°} = \frac{180}{\sin 69°}\)

\(ZW = \frac{180 \sin 89°}{\sin 69°} = 192.76m\)

\(\approxeq 193m\)

(b) < ZNX = <ZXN (base angles of an isosceles triangle)

= 44°^.

\(\therefore\) Bearing of Z from N = 270° + 44° = 314°.

Correct Answer: D) well cultivated farmland

Explanation

hich of the following habitats cannot be used for the study of succession? Options A) abandoned farmland B) a pond C) savanna grassland D) well cultivated farmland Related Lesson: Succession | Ecology The correct answer is D. Explanation: Succession refers to the gradual and predictable change in the composition of species in an ecosystem over time. To study succession, we need to observe how the species in an area change and develop over time. The question is asking which habitat cannot be used for the study of succession among the options given. The options are abandoned farmland, a pond, savanna grassland, and well-cultivated farmland. Option A, abandoned farmland, can be used for the study of succession. When farmland is abandoned, it goes through a series of changes in the organisms present, making it a suitable habitat for the study of succession. Option B, a pond, can also be used for the study of succession. Ponds undergo changes in their physical and biological characteristics over time, making them a suitable habitat for studying succession. Option C, savanna grassland, can be used for the study of succession. Savanna grasslands are characterized by a mix of trees and grasses, and the composition of these species can change over time, making it a suitable habitat for the study of succession. Option D, well-cultivated farmland, is the correct answer. Well-cultivated farmland is not a suitable habitat for the study of succession because it is regularly disturbed by human activities such as plowing, planting, and harvesting crops. These activities prevent any natural succession from occurring, making it unsuitable for the study of succession. In summary, the habitat that cannot be used for the study of succession among the options given is well-cultivated farmland. To learn more about succession, please read the relevant sections of the recommended textbooks.

Correct Answer: D. 31

Explanation

When finding the median, you are looking for the middle number. Always arrange the numbers in ascending order. Since, the numbers are not in order, lets arrange them. The new set is 4,15,26,36,79,100. Then, we count the numbers in the set. There are six. Then divide six by two. We do this because we will split the number set in half. Because six does divide evenly into two, this means we can't easily determine the median. Since six divided by two is three, we are going to eliminate three numbers from leftmost in number set toward the right direction and three numbers from rightmost in number set toward the left direction. The last number crossed out in both direction are 26 and 36. To find the middle number, just add both numbers and divide by two. 26+36/2=62/2=31 That's the final answer.

Correct Answer: B. \(\frac{1}{(x + 1)^{2}}\)

Explanation

\(y = \frac{x}{x + 1}\)

Using quotient rule because the function is of the form \(\frac{u(x)}{v(x)}\)

\(\frac{\mathrm d y}{\mathrm d x} = \frac{v\frac{\mathrm d u}{\mathrm d x} - u\frac{\mathrm d v}{\mathrm d x}}{v^{2}}\)

\(\frac{\mathrm d y}{\mathrm d x} = \frac{(x + 1) . 1 - x . 1}{(x + 1)^{2}}\)

= \(\frac{1}{(x + 1)^{2}}\)

Explanation

(a) Functions of Trade association are:

(i) It exchanges Creditors information among members.

(ii) It protects interest of its members.

(iii) It creates uniform method of dealing in the particular trade.

(iv) It settles disputes within the trade associations.

(v) It establishes a link between the government and the association in order to protect the interest of its members.

(vi) It negotiates as a body with trade union on rates of pay and conditions of service.

(vii) It educates the members.

(b). Functions of consumer association are:

(i) It educates consumers on their rights.

(ii) It ensures that consumers buy the right quality of goods and services.

(iii) It ensures correct specification in terms of volume and weight of goods on sale to consumers.

(iv) It ensures that fair prices are charged.

(c) Functions of customs authority are:

(i) It prevents smuggling.

(ii) It collects customs duties.

(iii) It enforces ban on prohibited goods.

(iv) It supervises import and export trade.

(v) It collects information on international trade.

(vi) It supervises bonded warehouses.

(d) Functions of manufacturer's association are:

(i) It sponsors members on trade missions abroad.

(ii) It informs members on developments in the country.

(iii) It ensures that members operate according to their professional ethics.

(iv) It protects the interest of members.

(v) It ensures the quality of service rendered to the public by members is of acceptable standard.

(vi) It informs members on latest developments in the industry

(i) It organizes trade fairs.

(ii) It promotes home and foreign trade.

(iii) It watches the administration of government laws to prevent injury to commercial interests.

(iv) It collects and disseminates information on all subjects likely to be of interest to the members.

(v) It co-operates with both domestic and foreign chambers of commerce.

Correct Answer: C. 1

Correct Answer: D. number of political parties in a country

Correct Answer: C. 75°

Explanation

E\(G\)R = 50\(^o\) (Alternative angles)

n + 55\(^o\) + 50\(^o\) = 180\(^o\) (Sum of angles on a straight line)

n = 180\(^o\) - 105\(^o\)

n = 75\(^o\)

Correct Answer: C. peace