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mariarad [96]
4 years ago
10

What is the absolute value of five

Mathematics
2 answers:
Ksenya-84 [330]4 years ago
3 0
The absolute value of 5 is 5.

nadezda [96]4 years ago
3 0
The absolute value of 5 is 5
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y=91

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The radius of a circle is 7 cm. Find its area in terms of \piπ.
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153.94cm²

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Draw a Hasse diagram of the partial order << of the set {2,3,4,6,8,9,10,12} where a << b iff b is divisible by a.
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Step-by-step explanation:

Consider the provided set {2,3,4,6,8,9,10,12}

Let the set is A.

A={(2 \prec 4), (2 \prec 6), (2 \prec 8), (2 \prec 10), (2 \prec 12), (3 \prec 6), (3 \prec 9), (4 \prec 8), (4 \prec 12), (6 \prec 12)}

Hence the required Hasse diagram is shown in figure 1:

In the Hasse diagram 2 and 3 are on the same level as they are not related.

The next numbers are 4, 6, 9, and 10. 4, 6 and 10 are divisible by both 2. 6 and 9 are divisible by 3. Then 8 and 12 are divisible by 4 also 12 is divisible by 6.

Hence, the required diagram of the partial order of the set {2,3,4,6,8,9,10,12} is shown in figure 1.

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Please help me with this question
jok3333 [9.3K]

9514 1404 393

Answer:

  -3/8 × (first term)

Step-by-step explanation:

The general term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Then the ratio of interest is ...

  (7th term)/(9th term) = 5/8

  (a1 +6d)/(a1 +8d) = 5/8

Multiplying by 8(a1 +8d) we get ...

  8(a1 +6d) = 5(a1 +8d)

  8a1 +48d = 5a1 +40d . . . . . . eliminate parentheses

  8d = -3a1 . . . . . . . . . . . . . . subtract 40d+8a1

  d = (-3/8)a1 . . . . . . . . . . divide by 8 to find the common difference

The common difference is -3/8 times the first term.

__

<u>Example</u>

Let the first term be -16. Then the common difference is (-3/8)(-16) = 6. The first 9 terms of the sequence are ...

  -16, -10, -4, 2, 8, 14, 20, 26, 32

The ratio of the 7th and 9th terms is ...

  20/32 = 5/8 . . . . as required

__

In the general case, the ratio of terms would be ...

  (a1 +(-3/8a1)(7 -1))/(a1 +(-3/8a1)(9 -1)) = (1 -6(3/8))/(1 -8(3/8)) = (-10/8)/(-16/8) = 5/8

8 0
3 years ago
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