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.
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Answer:
B
Step-by-step explanation:
The slope is 4.
Let's find the slope between your two points.
(1,−2); (3,6)
(x1,y1) = (1,−2)
(x2,y2) = (3,6)
Use the slope formula:
m = y2−y1 / x2−x1
= 6− −2 / 3−1
= 8 / 2
= 4
Answer:
m = 4
Tim spends 1/3 each weekday sleeping and 7/24 in school. We can write 1/3 as 8/24 so we have a common denominator. Now we can see that Tim sleeps for 1/24 time of a weekday more then he spends in school.
I hope that's what you meant.
Answer:
<em>Yellow troop will complete the hike faster than blue troop</em>
<u>Blue troop hikes 1.33 miles in 1 hour</u>
<u>Yellow troop hikes 2.25 miles in 1 hour</u>
Missing portion:
Since the final statement is missing, so we will find how much distance can the troops travels in 1 hour and which troop can complete the hike faster.
Step-by-step explanation:
As given in the statement:
Blue troops travels
miles ever
hour:
hr =
miles
1 hr =
1 hr=
miles = 1.33 miles
Blue troop hikes 1.33 miles in 1 hour
Yellow troops travels
miles ever
hour:
hr=
miles
1 hr =
miles
1 hr =
miles =2.25 miles
Yellow troop hikes 2.25 miles in 1 hour
<u><em>Yellow troop will complete the hike faster than blue troop</em></u>
Answer:
(a) The solutions are: 
(b) The solutions are: 
(c) The solutions are: 
(d) The solutions are: 
(e) The solutions are: 
(f) The solutions are: 
(g) The solutions are: 
(h) The solutions are: 
Step-by-step explanation:
To find the solutions of these quadratic equations you must:
(a) For 





The solutions are: 
(b) For 

The solutions are: 
(c) For 

The solutions are: 
(d) For 


For a quadratic equation of the form
the solutions are:



The solutions are: 
(e) For 




The solutions are: 
(f) For 


The solutions are: 
(g) For 

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

The solutions are: 
(h) For 

Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

The solutions are: 