Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.
The polynomial is;. 3w³ + 22w + 24w = 5440ft³.
From the question;
- <em>Let the width = w</em>
- <em>length,</em><em> </em><em>l</em><em> = 3w + 4</em>
- <em>height,</em><em> </em><em>h</em><em> = w + 6</em>
<em>The </em><em>volume </em><em>of </em><em>a </em><em>rectangular</em><em> </em><em>prism </em><em>is </em><em>given </em><em>by </em><em>the </em><em>product </em><em>of </em><em>its </em><em>length,</em><em> </em><em>width </em><em>and </em><em>height.</em><em> </em><em>Thus</em><em>;</em>
Volume = l × w × h
Therefore, Volume, V = (3w +4) × w × (w +6)
To obtain the required polynomial, we expand the expression for Volume above;
<em>V = (3w² + 4w) × (w + 6)</em>
<em>V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.</em>
However, the volume of the rectangular prism has been given to be 5440 cubic feet.
Therefore, the polynomial is;
3w³ + 22w + 24w = 5440ft³.
Read more:
brainly.com/question/9740998
Answer:
I'm not sure but I think the answer is 2187 X^ (14) Y^ ( 42)
Step-by-step explanation:
(3x^2y^6)^7
3^(7) x (X^)^(7) x ( Y ^(6)^(7)
= 2187 X^ 14)Y^( 42)
Answer:
Sum of the sequence (Sn) = 33,859
Step-by-step explanation:
Given:
Sequence = 685+678+671+664+...+6
Find:
Sum of the sequence (Sn)
Computation:
a = 685
d = 678 - 985 = -7
an = 6
an = a+(n-1)d
6 = 685+(n-1)(-7)
-679 = (n-1)(-7)
97 = n-1
n = 98
So,
Sum of the sequence (Sn) = (n/2)[a+an]
Sum of the sequence (Sn) = (98/2)[685+6]
Sum of the sequence (Sn) = (49)(691)
Sum of the sequence (Sn) = 33,859
Answer:
C. The value of f (4) is 60, and it represents the number of hours of work remaining for the month after working for 4 days
Step-by-step explanation:
So 5 time 4 equals 20...!
80 minus 20= 60

<h2>
Explanation:</h2>
Here we have the following expression:

So we need to simplify that radical expression. By property of radicals we know that:
![\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%5Csqrt%5Bn%5D%7Bb%7D%3D%5Csqrt%5Bn%5D%7Bab%7D)
So:

The prime factorization of 22968 is:

Hence:

By property:
![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
So:

Finally:

<h2>Learn more:</h2>
Radical expressions: brainly.com/question/13452541
#LearnWithBrainly