Quiz – Sept 18 – Math Typesetting

  1. \(x^2+x-20=(x-4)(x+5)\)
  2. \(10.5(1+r)^{30}\)
  3. \( (6.71 \times 10^{8}) \times (2.3 \times 10^{-4}) \approx 1.54 \times 10 ^{5}\)
  4. \(\pi L(1-\alpha)R^2=4\pi\sigma T^4R^2\)
  5. \(56 \text{ mi} \times \frac{1.61 \text{ km}}{1 \text{ mi}} \approx 90 \text{ km}\).
  6. \(56 \text{ miles}\times \frac{1.61\text{km}}{1 \text {mi}} \approx 90 \text{ km}\)
  7. \($10,000,000 \times (0.98)^{100} \approx $1,300,000\)
  8.  \(7,681,118,346 \approx 7,700,000,000 = 7.7 \times 10^{9}\)
  9. \[ 150 \text{ m} \times \frac{4.5 \times 10^{6} \text{ kg}}{1 \text{ sec}} \times \frac{10 \text{ J}}{1 \text{ kg} · 1 \text{ m}} = 6.75 \text{ GW} \]
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