To check for continuity at the edges of each piece, you need to consider the limit as 
approaches the edges. For example,
has two pieces, 
and 
, both of which are continuous by themselves on the provided intervals. In order for 
to be continuous everywhere, we need to have
By definition of , we have 
, and the limits are
The limits match, so is continuous.
For the others: Each of the individual pieces of 
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
The velocity of the baseball is 20m/s
Velocity can be described as the speed of an object that is moving in a particular direction
The formula for calculating velocity is
velocity= displacement/time
The first step is to write out the parameters given in the question.
time= 5 seconds
displacement= 100m
The velocity can be calculated as follows;
velocity/displacement
= 100/5
= 20
Hence the velocity of the ball is 20m/s
Please see the link below for more information on velocity
brainly.com/question/19818214?referrer=searchResults
Answer
Length: 12 feet Width:4
Explanation
To get the area of a rectangle you times the length by the width
It says the length of the wall is 4 feet longer than TWICE it’s width since 12 times 4 is 48 and 12 is twice the amount of 4 plus 4 feet it fits the requirements of this question
Answer:
Dependent variable is the amount of hours of sleep.
Independent variables are gender, amount of time spent studying, and hours of activity.
