Least to greatest: 20,564 22,755 2,3805
Answer:
.
Step-by-step explanation:
6^3 = 216
(-x)^3 = - x^3.
Answer:
Net Area = 168
Step-by-step explanation:
See attachment for complete question
I'll make reference to the attachment, when needed.
The shapes that make up the net are labelled 1 to 5.
So, to calculate the surface area of the net, we simply calculate the surface area of each label.
Label 1: Rectangle
Area = Length * Width
Area = 10 * 5
Area = 50
Label 2: Rectangle
Area = Length * Width
Area = 8 * 5
Area = 40
Label 3: Rectangle
Area = Length * Width
Area = 6 * 5
Area = 30
Label 4: Triangle
Area = ½Base * Height
Base = 6 and Height = 8
So:
Area = ½ * 6 * 8
Area = 24
Label 5: Triangle
Area = ½Base * Height
Base = 6 and Height = 8
So:
Area = ½ * 6 * 8
Area = 24
So, the net area is the summation of the calculated areas of label 1 to 5
Net Area = 50 + 40 + 30 + 24 + 24
Net Area = 168
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = 
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = 
Rate of change = 
Rate of change = -1