Average rate of change of the function 
Solution:
Given function: 
from x = 1 to x = 5
Substitute x = 1 and x = 5 in f(x).
Let us find the average rate of change of the function.
Average rate of change
Here a = 1 and b = 5.
Substitute f(5) and f(1).
Average rate of change of the function
Answer:
- find a suitable cutting tool
- cut the prism on the plane of interest
Step-by-step explanation:
A cross section is the intersection of a cut plane with the object of interest. In a classroom setting, we often try to do the cross sectioning mentally or with diagrams, rather than physically cutting anything. Sometimes, there is no substitute for actually performing the cut to see what the cross section looks like.
For certain samples that don't take kindly to cutting, we sometimes encase them in a block of material that helps them hold their shape during the process. Sometimes the "cutting" is performed by grinding away the portion of the material on one side of the cut plane.
Well, if the elevation is 45 degrees, the height of the tree and the distance to the truck are the same.
The elevation is more than that, so the distance to the truck is less than the height of the tree.
The only answer that reflects that is D.
Answer: the height of the water after the sphere is placed in
it is 33.33 cm
Step-by-step explanation:
The cylinder is called a right circular cylinder because its height make a right angle with its base. The formula for determining the volume of the cylinder is expressed as
Volume = πr^2h
Where
π is a constant whose value is 3.14
r represents the radius of the cylinder.
h represents the height of the cylinder.
From the information given,
r = 10 cm
h = height of water in the cylinder = 20 cm
Volume of water in the cylinder before the sphere was placed in it would be
V = 3.14 × 10^2 × 20 = 6280 cm^3
The formula for determining the volume of the sphere is expressed as
Volume = 4/3 πr^3
V = 4/3 × 3.14 × 10^3 = 4186.67cm^3
Total volume of the sphere and the cylinder = 6280 + 4186.67 = 10466.67 cm^2
To determine the new height of the water,
10466.67 = 3.14 × 10^2× h
h = 10466.67/314 = 33.33 cm
<h3>
Answer is 4.1</h3>
To get this answer, multiply 0.05 by 82
The 0.05 is the decimal form of 5%
You move the decimal point 2 spots to the left to go from percent form to decimal form.
