Answer:
Second puck travels farther
Step-by-step explanation:
Maximum height of first puck = 3 feet
The height of a second hockey puck is modeled by:


To find maximum height of second puck

Equate the derivative equals to 0
0.15-0.002x=0

75 = x
At x = 75

So, The maximum height of second puck is greater than first puck
So, Second puck travels farther
The function models Exponential Decay due to the fact that as
x -> infinity, y-> 0
Given:
Radius of the circle = 10 in
Central angle of the sector = 45 degrees
To find:
The area of the sector.
Solution:
Area of a sector is

Where,
is the central angle in degrees.
Putting r=10 and
, we get



Therefore, the area of the sector is 12.5π sq. inches.
Answer:
Lisa's team have played 24 home games and 25 away games.
Step-by-step explanation:
Given:
Let
represents games played at home.
also
represent games played away.
Total number of games played = 49
∴ 
Now according to given data:
Number of home games won = 
Number of away game won = 
Total games won =26
Hence

Now multiplying equation 1 by 3 we get,

Now Subtracting equation 2 by equation 3 we get,

Substituting value of x in equation 1 we get.

Hence Lisa's team have played 24 home games and 25 away games.