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Digiron [165]
3 years ago
10

Which rational number will result in a repeating decimal?

Mathematics
1 answer:
natita [175]3 years ago
5 0

Answer:

D. 158/6

Step-by-step explanation:

If you divide 158/6 you get 26.3333333333 which is a repeating decimal, and makes it a rational number.

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Evaluate the summation of 3 times negative 2 to the n minus 1 power, from n equals 1 to 5. A) −93. B) −33. C) 33. D) 93
lions [1.4K]
∑ ( from n = 1 to n =5 ) 3 · ( -2 ) ^( n -1 )
a 1 = 3 · ( -2 ) ^0 = 3
a 2 = 3 · ( - 2 ) = - 6
a 3 = 3 · 4 = 12
a 4 = 3 · ( - 8 ) = - 24
a 5 = 3 · 16 = 48
3 - 6 + 12 - 24 + 48 = 33
Answer: C ) 33
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What to do managers analyze to understand the behavior and attitude of other team members?
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Which lengths could be the sides LKM of the triangle, respectively?
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Answer:B

Step-by-step explanation:

Using what is known as the "Triangle Inequality Theorem" a+b can not be less than c or else it is not a triangle. (A and B are the smallest sides of the triangle).

A) 6cm + 15cm = 21cm which is less than 23cm: Not a triangle

B) 5cm + 9cm  = 14cm which is greater than 13cm: This makes a triangle and therefore the answer is B

C) 5cm + 8cm = 13cm which is less than 13cm: Not a triangle

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I need help on #10
Ede4ka [16]
D = sq.root of((x2 - x1)^2 + (y2 - y1)^2)
sq.root of 13 = sq.root of((x - (-2))^2 + (1 - 3)^2)
= sq.root of((x + 2)^2 + (-2)^2)
= sq.root of (x^2 + 4x + 4 + 4)
= sq.root of (x^2 + 4x + 8)

Now if we square both sides:
x^2 + 4x + 8 = 13
x^2 + 4x - 5 = 0
(x + 5)(x - 1) = 0
x = -5 or x = 1
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Is 16.45 equal to 16.454
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No if it it was 16.450 then it would be equal to 16.45
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