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PIT_PIT [208]
3 years ago
5

Which data set matches the line plot?

Mathematics
1 answer:
Aneli [31]3 years ago
7 0

Answer:

The answer is below

Step-by-step explanation:

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Which expression is equivalent to 60 Σ n=1 (2n − 1)2 ? Check all that apply.
Hunter-Best [27]

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The quadratic expands to ...

  (2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1

The coefficients can be factored out of the sum, so ...

  ∑(4n²) = 4∑n² for example

The sum of 60 ones is 60:

  \displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60

So, the sum can be written as ...

  \displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}

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It appears that the key to choosing the correct answers is paying attention to signs.

7 0
3 years ago
Read 2 more answers
Solve for e. 9e^2f=49<br> e=±√7f/3<br> e=±7√f/3<br> e=±7√f/3f<br> e=±√7f/3f
Vesnalui [34]
Divide by the coefficient of e^2, then take the square root.
  e^2 = 49/(9f)
  e = ±7/(3√f) = ±(7√f)/(3f)

The 3rd selection is appropriate:
  e=±(7√f)/(3f)


______
When written in plain text (not typeset), any denominator containing arithmetic must be enclosed in parentheses. When the expression is typeset, the surd and the division bar do the grouping for you.
  e=\pm \dfrac{7\sqrt{f}}{3f}
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4 years ago
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A diver standing on a boat, 5 ft above sea level, looks straight down and sees coral that is 18 ft below sea level. Let distance
natima [27]
23 for distance and -18 for displacement between them
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4 years ago
In Texas, the coldest temperature ever recorded is -23 F. That's a lot chillier than in Florida, where the coldest recorded temp
beks73 [17]

Answer:

21

Step-by-step explanation:

21+-23=-2

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4 years ago
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Is 0.5 greater than or less than 6/10
Vika [28.1K]
6/10 is equal to 0.6 and 0.6 is greater than 0.5
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3 years ago
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