L = 4(6) + 5(3)
L = 24 + 15
L= 39
Answer:
-37x+26
Step-by-step explanation:
The x-coefficients have the sequence ...
-2, -7, -12, ...
which has first term -2 and common difference of (-7 -(-2)) = -5. Then the 8th x-coefficient is ...
-2 + (-5)(8 -1) = -37
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The constants have the sequence ...
5, 8, 11, ...
which has first term 5 and common difference 8 -5 = 3. Then the 8th constant term is ...
5 +(3)(8 -1) = 26
The 8th term of the sequence is -37x +26.
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The general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
In the above, we have used n=8 to find the 8th term.
Answer:
40000
Step-by-step explanation:
4×10^4 = 4×10000 = 40000
Answer:
Therefore the cone is the greatest relative increase in volume.
Step-by-step explanation:
Cone:
Original cone = (1/3)π(h)r^2
Changed cone = (1/3)π(h/2)(3r)^2
= (1/2)(1/3)π(h)9r^2
= (9/2) * Original cone
=4.5 * Original cone
Cylinder:
Original cylinder = π(h)r^2
Changed cylinder = π(2h)r^2
=2 * Original cylinder
Therefore the cone is the greatest relative increase in volume.
V = -5 because you subtract 4 from both sides then divide both sides by -7 and you get -5
