Example Question - calculating change
Here are examples of questions we've helped users solve.
Calculating Change in Kinetic Energy for a Car
Primero, convertimos las velocidades a metros por segundo (m/s): - 100 km/h = \( \frac{100 \times 1000}{3600} \) m/s = \( \frac{100}{3.6} \) m/s ≈ 27.78 m/s - 20 km/h = \( \frac{20 \times 1000}{3600} \) m/s = \( \frac{20}{3.6} \) m/s ≈ 5.56 m/s Ahora calculamos la energía cinética para ambas velocidades usando la fórmula de la energía cinética \(EC = \frac{1}{2} m v^2\), donde m es la masa y v la velocidad: Para 100 km/h (27.78 m/s): \( EC_{inicial} = \frac{1}{2} \cdot 1500 \text{kg} \cdot (27.78 \text{m/s})^2 \) Para 20 km/h (5.56 m/s): \( EC_{final} = \frac{1}{2} \cdot 1500 \text{kg} \cdot (5.56 \text{m/s})^2 \) Calculamos ambos valores: \( EC_{inicial} = 0.5 \cdot 1500 \cdot 27.78^2 \) \( EC_{inicial} = 750 \cdot 771.84 \) \( EC_{inicial} = 579380 \text{J} \) \( EC_{final} = 0.5 \cdot 1500 \cdot 5.56^2 \) \( EC_{final} = 750 \cdot 30.91 \) \( EC_{final} = 23182.5 \text{J} \) Finalmente, encontramos el cambio en energía cinética: \( \Delta EC = EC_{inicial} - EC_{final} \) \( \Delta EC = 579380 \text{J} - 23182.5 \text{J} \) \( \Delta EC = 556197.5 \text{J} \) Por lo tanto, el cambio de energía cinética del automóvil es de 556197.5 J.
Calculating Change From a Purchase
Tony buys a CD that is priced at $13.59. He has a coupon for $1.85 off. So to find out how much he has to pay, you subtract the coupon value from the price of the CD. $13.59 - $1.85 = $11.74 Tony pays with a $20 bill. To find out his change, you subtract the amount he paid from the $20 bill. $20.00 - $11.74 = $8.26 So, the best estimate of how much change Tony gets is $8.26. The correct answer is: ☑️ $8.26
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