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valkas [14]
3 years ago
14

Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation,

write an equation to represent the relation. Explain your answer.

Mathematics
1 answer:
kenny6666 [7]3 years ago
6 0

Answer:

Indirect variation

Step-by-step explanation:

If two variables change in inverse proportion, then it is called indirect variation.

xy = k where k is a constant.

5*2 = 10

10*1 =10

15*\dfrac{2}{3}=5*2=10\\\\\\20*\dfrac{1}{2}=10

So, this is indirect variation.

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the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

a_{n} = a_0 + (n-1)d

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_1+a_n)}{2}

ai = ai-1 + 6

This means that d = 6

In this question:

Sum of the first 800 terms, so n = 800

First term is -53, so a_1 = -53

The 880th term is:

a_{880} = -53 + (880-1)*6 = 5221

Sum

S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920

The sum of the first 880 terms in the sequence is 2,273,920.

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What is the area of a sector when r = 2 and 0 = 1.75 radians?​
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Step-by-step explanation:

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What is the area of a triangle having a base of 4 inches and a height of 8 inches?
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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