Explanation

Evaluation helps in motivating learners by recognizing their progress and achievements.

It encourages continuous improvement and active participation in learning.

Explanation

Factorize the quadratic expression.

3x^2 - 9x + 6 = 3(x^2 - 3x + 2)

= 3(x^2 - 2x - x + 2)

= 3(x(x - 2) - 1(x - 2))

= 3(x - 1)(x - 2)

Explanation

Breathing is an involuntary action controlled by the autonomic nervous system, though it can be consciously regulated for short periods.

Eating, talking, and walking are voluntary actions as they require conscious control.

Explanation

Minerals are raw materials used to make coins, wires, and jewelry due to their physical properties.

Vegetables are living plants and are not made from minerals.

Explanation

Volt × Ampere = Watt, which measures electrical power.

Watt is the SI unit of power in an electric circuit.

Explanation

The Least Common Multiple (LCM) of two numbers is the smallest number that is a multiple of both.

Since (a - b)^4 and (a - b)^3 are both powers of (a - b), their LCM is the highest power of (a - b) between them:

LCM = (a - b)^4

Explanation

Discount = 450 - 369 = 81

Discount % = (81 / 450) × 100 = 18%

Explanation

The production of ammonia in industry, specifically through the Haber process, can be increased by raising the pressure.

Higher pressure shifts the equilibrium towards more ammonia production, though temperature and catalysts also play a role.

Explanation

To determine the smallest fraction among 17/23, 14/15, 15/19, and 16/21, we compare their decimal values:

17 ÷ 23 ≈ 0.7391

14 ÷ 15 ≈ 0.9333

15 ÷ 19 ≈ 0.7895

16 ÷ 21 ≈ 0.7619

17/23 ≈ 0.7391 is the smallest among the given fractions.

The smaller the decimal value, the smaller the fraction.

Explanation

To convert centimeters to millimeters, multiply by 10 (since 1 cm = 10 mm).

So, 42cm × 10 = 420 mm.