Ethan is observing an amusement park ride where the riders go around in a counterclockwise circular motion. The carts take 2 seconds to complete a full rotation. The center of the ride is 24 feet above the ground as shown in the diagram, and the cart Ethan is observing is labeled X. Explain why a sinusoidal function could be used to model the height of cart X, above the ground, as a function of time?

Explain step-by-step how to simplify -5(2x – 3y + 6z – 10).

On new year's day, the average temperature of a city is 5.7 degrees celsius. but for new year's day 2012, the temperature was 9.8 degrees below the average. i) if a represents the average temperature on new year's day and 7 represents the temperature on new year's day 2012, what formula accurately relates the two values together? ii) what was the temperature on new year's day 2012? dt a 0.8 ii) - 4 1 degrees celsius da-t-98 ii) 59 degrees celsius 1) 7 = -9,8 11) 59 degrees celsius ii) l degrees celsius

Closing a credit card usually _your debt ratio.a. increasesb. decreasesc. improvesd. has no effect on