Lauren works at a reception hall and is setting tables for a retirement party. She takes a basket of 98 soup spoons, and she places 8 soup spoons on every table she sets. Write an equation that shows how the number of soup spoons remaining, \( y \), depends on the number of tables Lauren sets, \( x \).

Voor een klasuitstap kost de bus 630 euro. Zeven leerlingen kunnen door ziekte niet mee. Daardoor moeten de resterende leerlingen elk 3 euro extra betalen. Hoeveel leerlingen gaan uiteindelijk mee op klasuitstap?

Find the distance from \( (-7,2,-12) \) to each of the following: 1. The \( x y \)-plane. Answer: 12 2. The \( y z \)-plane. Answer: 7 3. The \( x z \)-plane. Answer: 2 4. The \( x \)-axis. Answer: 5. The \( y \)-axis. Answer: 6. The \( z \)-axis. Answer: Submit answer

When the mean optical power launched into an 8 km length of fiber is \( 120 \mu \mathrm{~W} \), the mean optical power at the fiber output is \( 3 \mu \mathrm{~W} \). Determine: a) The overall signal attenuation or loss in decibels through the fiber assuming there are no connectors or splices; b) The signal attenuation per kilometer for the fiber; c) The overall signal attenuation for a 10 km optical link using the same fiber with splices at 1 km intervals, each giving an attenuation of 1 dB ; d) The overall signal attenuation for a 20 km optical link using the same fiber with splices and connectors at 1 km intervals and 4 km intervals respectively, When each splice gives an attenuation of 1 dB and a connector giving an attenuation of 0.5 dB ; e) The numerical input/output power ratio in part (c) and part (d.)

c) Find \( A \), when \( l=11 \mathrm{~cm} \) and \( r=5.2 \mathrm{~cm} \). 12. A long time ago Dulani found an island shaped like a triangle with three straight shores of length \( 3 \mathrm{~km}, 4 \mathrm{~km} \) and 5 km . He said nobody could come within 1 km of his shore. What was the area of his exclusion zone?

Convierte la ecuación cuadrática \( f(x) = -3x^2 + 12x - 4 \) a su forma de vértice.