Correct Answer: B. unlimited amount of unexploited resources

Explanation

optimum population yields highest quality of life, which means each person has access to adequate food, water, energy and air of highest quality, adequate medical care, recreational facilities and cultural outlets. It does not include unlimited amount of unexploited resources

Explanation

(a) \(\frac{\frac{3}{4}(3\frac{3}{8} + 1\frac{5}{8})}{2\frac{1}{8} - 1\frac{1}{2}}\)

\(\frac{3}{4}(3\frac{3}{8} + 1\frac{5}{8}) = \frac{3}{4}(\frac{27}{8} + \frac{13}{8})\)

= \(\frac{3}{4}(\frac{40}{8})\)

= \(\frac{15}{4}\)

\(2\frac{1}{8} - 1\frac{1}{2} = \frac{17}{8} - \frac{3}{2}\)

= \(\frac{17}{8} - \frac{12}{8}\)

= \(\frac{5}{8}\)

\(\therefore \frac{\frac{3}{4}(3\frac{3}{8} + 1\frac{5}{8})}{2\frac{1}{8} - 1\frac{1}{2}} = \frac{15}{4} \div \frac{5}{8}\)

= \(\frac{15}{4} \times \frac{8}{5}\)

= \(6\)

(b) \(\log_{10} 2 = 0.3010 ; \log_{10} 3 = 0.4771\)

\(\log_{10} 1.125 = \log_{10}(\frac{1125}{1000})\) (Dividing through with 125)

= \(\log_{10} (\frac{9}{8})\)

= \(\log_{10} 9 - \log_{10} 8\)

\(\log_{10} 9 = \log_{10} 3^{2} = 2\log_{10} 3 = 2 \times 0.4771 = 0.9542\)

\(\log_{10} 8 = \log_{10} 2^{3} = 3\log_{10} 2 = 3 \times 0.3010 = 0.9030\)

\(\therefore \log_{10} (\frac{9}{8}) = 0.9542 - 0.9030 = 0.0512\)

\(\approxeq 0.051\) ( 2 significant figures)

Correct Answer: D. +5

Explanation

To find the oxidation number of phosphorus (P) in the PO₄³⁻ ion, we use the following rules:

1. The sum of the oxidation numbers of all atoms in a polyatomic ion is equal to the charge of the ion.

2. Oxygen (O) typically has an oxidation number of -2 in compounds, except in peroxides or superoxides (which this is not).

Let 'x' be the oxidation number of phosphorus (P).

There are 4 oxygen atoms, each with an oxidation number of -2.

The overall charge of the ion is -3.

Set up the equation:

x + (4 * -2) = -3

x - 8 = -3

x = -3 + 8

x = +5

Therefore, the oxidation number of phosphorus in PO₄³⁻ is +5.

Comparing this with the given options:

A. +1

B. +2

C. +3

D. +5

The correct option is D.

The final answer is D

Correct Answer: D. angle of dip

Correct Answer: A. 10

Correct Answer: D. advice

Explanation

The correct answer is D. advice.

Here's why:

• Advice is an uncountable noun. This means it does not have a plural form like advices.

• You cannot use quantifiers like many directly with advice without a measuring phrase (e.g., many pieces of advice).

• Series of advices and pieces of advices are incorrect because advices is not a word. The correct phrases would be a series of advice or pieces of advice.

So, the sentence should be: She got into trouble because she refused to listen to the advice given by her friends and relatives.

Correct Answer: D. Overgrazing

Correct Answer: C) 3.0

Correct Answer: C. naturalization

Correct Answer: D. liver flukes