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Lostsunrise [7]
3 years ago
10

What is the radius of a hemisphere with a volume of 81449 ft, to the nearest tenth of a foot?

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

44

Step-by-step explanation:

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A sequence is defined recursively using the formula f(n + 1) = -0.5f(n). If the first term of the sequence is 120, what is f(5)?
PolarNik [594]

Answer: 7.5

Step-by-step explanation:

The given formula tells us that the next term f(n+1) of the sequence is -0.5 times the previous term f(n)

First term of the sequence is f(1) = 120

Second term of the sequence is f(2) = f(1+1) = -0.5 f(1) = -0.5 (120) = -60

Third term of the sequence is f(3) = f(2+1) = -0.5 f(2) = -0.5 (-60) = 30

Fourth term of the sequence is f(4) = f(3+1) = -0.5 f(3) = -0.5 (30) = -15

Fifth term of the sequence is f(5) = f(4+1) = -0.5 f(4) = -0.5 (-15) = <em>7.5</em>

3 0
3 years ago
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If a rock falls from a height of 40 meters on Earth, the height H (in meters) after x seconds is approximately
Julli [10]
Once the rock hits the ground, we know that its height will be equal to 0m
because of this, we can replace H(x) with 0
40 - 4.9 {x}^{2}  = 0
now all we have to do is get x by itself
so..
4.9 {x}^{2}  = 40
then
{x}^{2}  = 40 \div 4.9
{x}^{2}  = 8.1632...
now take the square root of each side
x = 2.857...
2.857 seconds (rounded to the third decimal)

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3 years ago
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