Total surface area = 2(lw + lh + wh) = 2(4*3 + 4*5 + 3*5) = 2(12 + 20 + 15) = 2(47) = 94 cm².

Setting y = 0: 3x + 4(0) = 12 => 3x = 12 => x = 4. The x-intercept is 4.

The first energy level can hold a maximum of 2 electrons.

C(10,3) = 10! / (3!(10-3)!) = 120.

The number of ways to choose 3 items from 5 is calculated using combinations: C(5,3) = 5! / (3!(5-3)!) = 10.

Substituting x = 3 into the equation: 2(3) + 3y = 12 => 6 + 3y = 12 => 3y = 6 => y = 2.

Solving the equations simultaneously gives y = 2.

The mass of the solution is the mass of the solute plus the mass of the solvent: 5 g + 100 g = 105 g.

Substituting y = 5 into the equation: 5x + 2(5) = 20 => 5x + 10 = 20 => 5x = 10 => x = 2.

Net force = applied force - frictional force = 12 N - 3 N = 9 N.

Average acceleration = (final velocity - initial velocity) / time = (20 m/s - 0) / 5 s = 4 m/s².

Time = Distance / Speed = 240 km / 80 km/h = 3 hours.

In a hypertonic solution, water will move out of the cell, causing it to shrink.

New radius = 6 cm; New area = π(6)² = 36π cm².

The probability of getting exactly 2 heads in 3 flips is calculated using the binomial formula: C(3,2) * (1/2)^2 * (1/2)^1 = 3/8.

Expected yield = Current yield - (10% of Current yield) = 800 - (0.1 * 800) = 800 - 80 = 720 kg.

New yield = Original yield + (20% of Original yield) = 1500 + (0.2 * 1500) = 1500 + 300 = 1800 kg.

Total revenue = Price per kg * Total kg = 2.50 * 1200 = $3000.

Target production = Current production + (25% of Current production) = 4000 + (0.25 * 4000) = 4000 + 1000 = 5000 kg.

Acceleration = F/m = 50 N / 10 kg = 5 m/s².

Let the original number be x. Then, x + 0.2x = 120; 1.2x = 120; x = 120 / 1.2 = 100.

Area = base × height; 100 m² = base × 10 m; base = 100 m² / 10 m = 10 m.

A quadrilateral can be formed if the sum of any three sides is greater than the fourth side. Here, it is valid.

Heating a solid typically causes it to gain energy and change into a liquid.

Sugar in solution = 20% of 200g = 0.20 * 200 = 40g.

Distance = Speed × Time = 60 km/h × 2.5 h = 150 km.

Area = 1/2 × base × height = 1/2 × 10 × 5 = 25 cm².

Using the Pythagorean theorem, since 7² + 24² = 49 + 576 = 625 = 25², the triangle is a right triangle.

Atomic mass is the sum of protons and neutrons. 6 protons + 6 neutrons = 12.

An atom with an atomic number of 15 has 15 electrons, assuming it is neutral.