You are given the length of a
rectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You are
required to find the volume of a rectangular prism. Using the equation V = l x
w x h, we multiply the three dimensions.
V = l x w x h
V = (3x^2)(2x)( x^2 + 3x +5)
V = 2x (3x^4 + 9x^3 + 15x^2)
<u>V = 6x^5 + 18x^4 + 30x^3</u>
<u> </u>
<u>The volume of the rectangular
prism is 6x^5 + 18x^4 + 30x^3.</u>
Answer:
The system of linear equations is x + y = 64 and x = y + 14.
Given that,
The total number of students is 64 .
Here we assume the x be the number of students in filmmaking club .
And, y be the number of students in yearbook club.
Based on the above information, the calculation is as follows:
x + y = 64
And,
x = y + 14
Therefore,
We can say that
Number of students in yearbook club = 25
And, the number of students in filmmaking club = 39
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Answer:
r= 
Step-by-step explanation:
The sum to infinity of a geometric series is calculated as
S∞ = 
; | r | < 1
where a₁ is the first term and r the common ratio
here a₁ = 15 and S∞ = 45 , then
45 = 
( multiply both sides by (1 - r ) )
45(1 - r) = 15 ( divide both sides by 45 )
1 - r = 
= 
( subtract 1 from both sides )
- r = - 1 = - ( multiply both sides by - 1 )
r =
