Given
z_1 = 6(cos150 degrees + i sin 150 degrees)
z_2 = 4(cos 60 degrees + i sin 60 degrees)

find z_1 * z_2

a. 6(cos210 + i sin210)
b. 4(cos210 - i sin210)
c. 24(cos210 + i sin210)
d. 24(cos210 - i sin210)

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

What’s 8y+48 and factor each expression completely

Awater tank holds 18000 gallons. how long will it take for the water level to reach 6000 gallons if the water is used at anaverage rate of 450 gallons per day