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Georgia [21]
3 years ago
15

An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

Mathematics
1 answer:
Allisa [31]3 years ago
4 0

Answer:

329.5

Step-by-step explanation:

From the table we see that the common difference d = 0.5 - (-6.5)

= 7, and 7.5 - 0.5 = 7. Also 14.5 - 7.5 = 7.

The first term a1 = -6.5.

The nth term = a1 + (n - 1)d  so for our sequence we have:

49th term =  -6.5  + (49 - 1)7

= -6.5 + 48 * 7

= -6.5 + 336

= 329.5   (answer).

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Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3
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Answer:

Step-by-step explanation:

4/x + 4/(x²-9) = 3/(x - 3) 

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Restrictions : x ≠ 0,  x ≠ - 3 ,  x ≠ 3;

4 ( x + 3 ) ( x - 3 ) + 4 x = 3 x ( x + 3 )

4 ( x² - 9 ) + 4 x = 3 x² + 9 x

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4 0
3 years ago
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3 0
3 years ago
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A bicyclist rides 1/5 mile in 1/65 hour. Write this rate as a unit rate.
andrey2020 [161]
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4 0
3 years ago
Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walk
yuradex [85]

Answer:

slow hiker rate= 1.1mph and fast hiker rate= 5.5 mph

Step-by-step explanation:

lets consider the Speed of the slow hiker =x

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As we know that distance is the product of speed and time

therefore,

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As they are are 33 miles apart , therefore

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6 0
3 years ago
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