Answer:
3617.28 mm³
Step-by-step explanation:
The volume of a cylinder is...
V = πr²h
Plug in the values given into the equation
V = (3.14)(12²)(8)
V = (3.14)(144)(8)
V = 3617.28 mm³
Answer:
63
Step-by-step explanation:
F(x) = x² + 5x
F(5) = (5)² + 5(5) = 25 + 25 = 50
G(x) = 2x + 1
G(6) = 2(6) + 1 = 12 + 1 = 13
F(5) + G(6) = 50 + 13 = 63
Time required for the pendulum to swing from its position furthest to the right to its position furthest to the left: 1.25 seconds
Step-by-step explanation:
A pendulum is a system consisting of a rod/string connected to a mass which is left free to oscillate back and forth around its equilibrium position, straight vertical.
The period of a pendulum is the time the pendulum takes to complete one full oscillation, that means it is the time the pendulum takes to go from its furthest position on the left to the same position again. It is calculated as

where L is the length of the pendulum and g the acceleration of gravity.
The figure in this problem represents the position of the pendulum. We observe that the time it takes for the pendulum to do one complete oscillation is 2.5 seconds.
The time it takes for the pendulum to swing from its position furthest to the right to its position furthest to the left is half the period: therefore, it is

Learn more about period:
brainly.com/question/5438962
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Donny is correct. To solve this problem all you need to do is add 35 to 15 equation below ⬇️
My solution to the problem is as follows:
<span>day 1: 1
day 2: 0.6667
day 3: 0.5111
day 4: 0.4385 <-------
</span>
Therefore, <span>the probability that the animal is in the woods on fourth observation would be 0.4385.
I hope my answer has come to your help. God bless and have a nice day ahead!
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