Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Part A</u>
The average rate of change of a function over the interval ![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D)
is equal to 
, hence:
Therefore, the average rate of change of 
over the interval ![[5,9]](https://tex.z-dn.net/?f=%5B5%2C9%5D)
is 
.
<u>Part B</u>
Do the same thing as in Part A:
Therefore, the average rate of change of 
over the interval ![[0.25,1]](https://tex.z-dn.net/?f=%5B0.25%2C1%5D)
is 
.
<u>Part C</u>
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
The correct answer is √313. ( square root of 313 or 17.7)
Hope this helps.
Step-by-step explanation:
25 plus 25 equal 50 so 50 percent
Area of the shaded region to be covered with grass is 204 yd²
Step-by-step explanation:
- Step 1: Area of the shaded region can be found by finding the total area and subtracting the area of the lap pool.
Total area = Area of the trapezium = 1/2 × (Sum of parallel sides) × distance between them
Sum of parallel sides = 25 yd + (3 + 12) = 40 yd
Distance between them = 12 yd
⇒ Total area = 1/2 × 40 × 12 = 240 yd²
- Step 2: Find the area of the lap pool.
Area = length × width = 12 × 3 = 36 yd²
- Step 3: Find the area of the shaded region
Area to be covered with grass = 240 - 36 = 204 yd²
Yes it does the line will gradually increase
