Answer:
Step-by-step explanation:
The generating function a(x) produces a power series ...
where the coefficients are the elements of the given sequence.
We observe that the given sequence has the recurrence relation ...
This can be rearranged to ...
We can formulate this in terms of a(x) as follows, then solve for a(x).
The generating function is ...
a(x) = 1/(1+2x)
4 + 12 +12 = 28cm
so in conclusion it is 28
Answer:
Leo has b boxes of pencils. each box contains 6 pencils. he has a total of 42 pencils. the equation that represents this situation the value of b that makes the equation true the first one is b+6=42,6b=42,b=42+6,or 42b=6 the second one are 7,836 48
Step-by-step explanation:
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Answer:
4 pitches
Step-by-step explanation:
if a cylinder with height 9 inches and radius r is filled with water, it can fill a certain pitcher. how many of these pitchers can a cylinder with height 9 inches and radius 2r fill? explain how you know.
Solution:
The volume of a cylinder is given by:
V = πr²h;
where V is the volume, r is the radius of the cylinder and h is the height of the cylinder.
A cylinder with height 9 inches and radius r can fill a certain pitcher. Therefore the volume of the cylinder is:
V = πr²h = πr²(9) = 9πr²
V = volume of pitcher = volume of cylinder with radius r = 9πr²
For a cylinder with height 9 inches and radius 2r its volume is:
V2 = πr²h = π(2r)²(9) = 36πr²
Therefore, the number of pitchers a cylinder with height 9 inches and radius 2r can fill is:
number of pitches = 36πr² / 9πr² = 4
Therefore a cylinder with height 9 inches and radius 2r can fill 4 pitches.
Answer:
675/18=37.5
37.5×40=1500
Step-by-step explanation:
ANSWER 1500 HOPE THIS HELP:)
