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mr Goodwill [35]
3 years ago
10

How to express -8+4-2+1 in sigma notation

Mathematics
1 answer:
dlinn [17]3 years ago
3 0
It's pretty clear what the pattern is - 2^(k-1) * (-1)^(k-1) would work backwards, but we have to work forwards to get lower in this case, so we could start at -3 (as long as we put the k-1 in absolute value to make sure it's not 1/8), so we could write it as ∑ (k=1, goes to 4) 2^(|k-4|)*(-1)^(k-4) 

It doesn't matter for k-4 because 1/-1 and 1/1 are the same thing as -1 and 1 respectively
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The fountain is made up of two semicircles and a quarter circle. Find the perimeter and the area of the fountain. Round the peri
Andrej [43]
FOUND THE COMPLETE QUESTION IN ANOTHER SOURCE.ATTACHED IMAGE.
 For this case what we have is the following:
 For the two semicircles we can model it as a complete circle.
 We have to then:
 
 Perimeter: 
 P = 2 * pi * r
 or
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 r = radius
 d = diameter
 Therefore the perimeter is:
 P = 10 * pi
 For the largest circle we have:
 radius = 10
 Perimeter:
 P '= 2pi10
 P '= 20pi
 1/4 since 1/4 circle:
 P '' = 20pi / 4 = 5pi
 Then, the total perimeter of the source is:
 Pt = P + P '' = 10pi + 5pi = 15pi
 Pt = 15 * (3.141592)
 Pt = 47.1239
 round
 Pt = 47.1 ft

 Area:
 The total area will be:
 A = A (two semicircles) + A (quarter big circle)
 A = (pi / 4) * (d ^ 2) + (1/4) * pi * r ^ 2
 A = (pi / 4) * ((10) ^ 2) + (1/4) * pi * (5) ^ 2
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 Round:
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 Answer: 
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5 0
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given that,

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When it touches the ground, h = 0

So,

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6 0
3 years ago
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Elena-2011 [213]
Answer : AB = 12

Explanation:

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7 0
2 years ago
What decimal is equivalent to 13/10
LUCKY_DIMON [66]

Answer:

1.30

Step-by-step explanation:

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