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

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

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

Percentage error = (Uncertainty / Measured value) * 100 = (0.01 / 5.67) * 100 ≈ 0.176%.

Total length = 3 * 1.20 m = 3.60 m. The uncertainty for 3 tables = 3 * 0.02 m = 0.06 m.

The range of possible true values is from 25.0 - 0.5 to 25.0 + 0.5, which is 24.5 °C to 25.5 °C.

Minimum possible volume = Measured volume - Uncertainty = 250.0 mL - 1.0 mL = 249.0 mL.

Let the number be x. The equation is 5x - 3 = 12. Adding 3 to both sides gives 5x = 15. Dividing by 5 gives x = 3.

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

Distance = speed × time = 60 km/h × 3 h = 180 km.

The measurement 150.0 cm has 4 significant figures because the trailing zero after the decimal point is significant.

The leading zeros are not significant. Therefore, 0.00456 has 3 significant figures.

Absolute error = |Measured value - True value| = |12.30 - 12.5| = 0.2 cm.

The leading zeros are not significant. Therefore, 0.050 kg has 2 significant figures.

Circumference = π * diameter = π * 10.0 cm ≈ 31.4 cm. Uncertainty in circumference = π * 0.1 cm ≈ 0.314 cm.

Let the original price be x. Then, x - 0.2x = 40, which gives 0.8x = 40. Thus, x = 40 / 0.8 = $50.

Circumference = 2πr = 2 × 3.14 × 7 cm = 43.96 cm.

The third angle can be found by subtracting the sum of the other two angles from 180 degrees: 180 - (50 + 70) = 60 degrees.

Let the two numbers be x and y. We have x + y = 15 and xy = 50. Solving these equations gives the larger number as 10.

Let the numbers be x and y. We have x + y = 30 and x - y = 10. Solving these gives x = 20 and y = 10.

Relative error = (Uncertainty / Measured value) * 100 = (0.5 / 50.0) * 100 = 1%.

Substituting x = 3 into the expression: 2(3^2) + 3(3) - 5 = 2(9) + 9 - 5 = 18 + 9 - 5 = 22.

Maximum possible mass = Measured mass + Uncertainty = 2.50 kg + 0.05 kg = 2.55 kg.

In a triangle, the sum of angles is 180 degrees. If one angle is 90 degrees, the other two angles must sum to 90 degrees. Therefore, each of the equal angles is 45 degrees.

The number 100.0 has 1 decimal place, so the answer should also be rounded to 1 decimal place.

The number with the least decimal places is 0.3 (1 decimal place), so the answer should be rounded to 1 decimal place.

The result of 3.4567 + 2.1 is 5.5567. However, since 2.1 has only 2 significant figures after the decimal, the result should be rounded to 5.6, which has 3 significant figures.

The number 3.4567 has 4 significant figures. The leading digit is not counted as significant.

To find x, subtract 5 from both sides: 3x = 20 - 5 = 15. Then divide by 3: x = 15 / 3 = 5.

To solve for x, subtract 2x from both sides: 3x - 2x = 10 - 5, which simplifies to x = 5.