Answer:
A. Slope is -12 feet per second
B. Yes, it is constant.
<u>Skills needed: Linear Equations, Substitution and Division</u>
Step-by-step explanation:
1) Solving Part A (we need to find the slope):
- The slope is
-->
,
,
, and
are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.
2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:
-
==>
==>
==>
, so the slope is -12.
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1) Part B (analysis)
We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.
Answer:
The area of the sector is 
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to

we have
----> the radius is half the diameter
substitute


step 2
Find the area of a sector with a central angle of (2pi/3)
Remember that
The area of
subtends a central angle of 
so
by proportion
Let
x----> the area of the sector

Answer:
48 hope this helped
Step-by-step explanation:
Answer:
6 buckets
Step-by-step explanation:
Look at the ratio:
1/3 cup kernels : 2 quarts popcorn
2/3 cup kernels : 4 quarts popcorn : 1 bucket . . . . multiply by 2
2 cups kernels : 3 buckets . . . . . . . . . . . . . . . . . . . . .multiply by 3
4 cups kernels : 6 buckets popcorn . . . . . . . . . . . . multiply by 2