Answer:
the average rate of change is 4.
Step-by-step explanation:
Find the average rate of change of f(x)=x^2 on the interval [1,3].
The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.
We have that a=1, b=3, f(x)=x^2.
Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.
The number of rectangular prism container that would be set on the shelf is: 4.
<h3>What is the Volume of a Rectangular Prism?</h3>
Volume of rectangular prism = length × width ×height
Given the following:
- Volume of three containers = 135 in.³
- Volume of each rectangular prism container = 135/3 = 45 in.³
- One face = width × height = 4.5 × 2 = 9 in.
Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³
45 = length × 9
length = 5 in.
Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.
The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.
Learn more about rectangular prism on:
brainly.com/question/1015291
Answer:
R: √(13)
Step-by-step explanation:
Distance formula:
r^2 = (x-h)^2 + (y-k)^2
Center: (h,k)=(-1,5)
Circle: all points of (x,y)=(-3,2)
r^2=(-3+1)^2 + (2-5)^2
r^2=(-2)^2 + (-3)^2
r^2= 4 + 9
r^2=13 ((r^2)^(1/2)) = 13^(1/2) = 3.6055
Answer:
9y + 13
Step-by-step explanation:
a number would best represent as a variable (doesn't matter which letter)
plus thirteen would represent an addition to 13
It's easier to write if you convert 1/4 into 0.25.
Then you use algebra to find that he ran the mile in 6.4 minutes.
