Math Quiz: Sydney Thiem

  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. \( \pi L(1- \alpha )R^2=4 \pi \sigma T^4 R^2 \)
  5. \(56 \text{mi} \times \frac{1.61 \text{ km}}{1 \text{ mi}} \approx 90 \text{ km} \)
  6. \[ 56 \text{ mi} \times \frac{1.61 \text{ km}}{1 \text{ mi}} \approx 90 \text{ km} \]
  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. \[ 150 \text{ m} \times \frac{4.5 \times 10^6 \text{ kg}}{1 \text{ sec}} \times \frac{10 \text{ J}}{1 \text{ kg} \times 1 \text{ m}} = 6.75 \text{ GW} \]
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