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
 
        
             
        
        
        
The factors for given equation f(x)= .
.
- (x-1) - No
- (x-3) - No
- (x+3) - Yes
- (x-5) - Yes
- (x+5) - Yes
<u>Step-by-step explanation:</u>
The given equation is f(x)= .
 .
Add 0 at the end of the equation.
 = 0.
 = 0.
Let us group the given equation,
 =0.
 =0.
⇒ Group 1:  .
 .
Group 2:  .
 .
Pull out factor from each group,
⇒ Group 1:  .
.
Group 2: (x+3) (-25).
Join the two group since both (x+3) is common in both groups.
 =0.
 =0.
One of the factor is (x+3).
Other factors are solved by the formula,  .
 .
 = (x+5) (x-5) .
 = (x+5) (x-5) .
The other factors are (x+5) and (x-5).
 
        
             
        
        
        
Answer:
The answer is C
Hope this helps!
Mark me brainliest if I'm right ;)
 
        
             
        
        
        
Answer:
x = √53
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 6
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = √89
<u>Step 3: Solve for </u><em><u>x</u></em>
- Set up equation:                    6² + x² = (√89)²
- Isolate <em>x</em> term:                        x² = (√89)² - 6²
- Exponents:                             x² = 89 - 36
- Subtract:                                 x² = 53
- Isolate <em>x</em>:                                 x = √53
 
        
             
        
        
        
A2=a1*(-1)=8*(-1)= - 8
a3= (-8)* (-1)= 8
.....................................
a(n)= a(n-1)* (-1)