Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula 
. Upon using our given information we will get two equation and two unknowns as:
Upon substituting 
in 1st equation we will get,
Upon multiplying both sides of our equation by 5 we will get,
Upon substituting y=170 in 2nd equation we will get,
Therefore, Charlene's speed is 34 miles per hour.
Answer:
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.
Sine function model: where h is the height of the passenger above the ground measured in feet and t is the time of operation of the ride in minutes.
(Score for Question 1: ___ of 4 points)
1. What is the period of the sine function model? Interpret the period you found in the context of the operation of the Ferris wheel.
Answer:
Given functions are
The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).
Taking 2 as common, we get
Hence The total number of ducks and swans in the lake after n months is
Answer: Personality testing refers to techniques that are used to accurately and consistently measure personality.
Step-by-step explanation: Personality is something that we informally assess and describe every day. When we talk about ourselves and others, we frequently refer to different characteristics of an individual's personality.
