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To espouse is to adopt or support a belief or strategy.

Exploded as used in this context means to refute or criticise.

To foreclose is to leave out the consideration of an option or alternative to something.

The vowel sound here is pronounceable in 'pat', 'apple' etc. Plait is the therefore the right answer.

The vowel sound obtainable here is the short /u/ sound as in 'put'. The rest of the options have elongated pronunciation than 'full'

The vowel sound obtainable here is the /∂/ sound as in 'brother'. Stand[ar]d qualifies in this regard.

The vowel sound here is /e∂/ which perceivable in 'Care', 'air'.

The sound obtainable here is evidenced in 'journey', 'gender'. Ju[d]ge has the consonant as these ones previously mentioned.

The consonant sound obtainable here may be seen in 'gang', 'sing'. To[n]gue has the same consonant sound.

The consonant sound obtainable here may be seen in 'gang', 'sing'. To[n]gue has the same consonant sound.

81\(^{\frac{-3}{4}}\) x 25\(^{\frac{1}{2}}\) x 243\(^{\frac{2}{5}}\) = \((\sqrt[4]{81})^{-3} \times \sqrt{25} \times (\sqrt[5]{243})^2\) = \(\frac{5 \times 3^2}{3^{3}}\) = \(\frac{5}{3}\)

(\frac{(0.5436)^3}{0.017 \times 0.219}\) = \(\frac{0.16063}{0.017 \times 0.219}\) = 43.1 (to 3 s.f)

\(s = (4t + 3)(t - 2)\) \(\frac{\mathrm d s}{\mathrm d t} = (4t + 3)(1) + (t - 2)(4)\) = \(4t + 3 + 4t - 8\) = 8t - 5 \(\frac{\mathrm d s}{\mathrm d t} (t = 5 secs) = 8(5) - 5\) = 40 - 5 = 35 units per sec

Since there are 4 angles given, the polygon is a quadrilateral. Sum of angle in a quadrilateral = 360^\circ \(\therefore\) 2x + 5x + x + 4x = 360^\circ 12x = 360^\circ x = 30^\circ

Actual weight = 0.18g Error = 0.21g - 0.18g = 0.03g % error = \(\frac{0.03}{0.18} \times 100%\) = 16.7%