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harkovskaia [24]
3 years ago
13

Determine whether the series converges: sum(k=1 -> infinity) [1/(1+lnk)]

Mathematics
1 answer:
fgiga [73]3 years ago
3 0
Series is strictly decreasing so apply Integral test.
Limit test is also applicable, it implies it may converge.
Integrate 1/(1+lnx) you may need product rule.
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Which relation describes a function?
Kisachek [45]

Answer:

{(-2, -3), (-3, -2), (2,3), (3, 2)}

Step-by-step explanation:

A function is a set of ordered pairs in which <u>no two pairs have the same first number</u>.

In other words, an <em>x</em> cannot be paired with two <em>y</em>'s.

A function takes an <em>x</em> and pairs it with one and only one <em>y</em>.

{(0,0), (0, 2), (2.0), (2, 2)} is not a function because it pairs 0 with both 0 and 2.

{(2,-1), (2, 1), (3,-1), (3, 1)} is not a function because it pairs 2 with both -1 and 1.

{(2, 2), (2, 3), (3, 2), (3, 3)} is not a function because it pairs 2 with both 2 and 3.

8 0
3 years ago
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A pentagonal prism has dimensions that are four times the dimensions of a similar pentagonal prism. So its volume is (8, 16, 64,
enyata [817]
Scale factor for volume = A^3:B^3

(1:4)^3 = 1:64. The volume is 64x bigger.
3 0
3 years ago
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X=-3 which is a positive value? A x B x^2 C x^3 D x+3​
Gemiola [76]

Answer:

B. X squared is -3 times -3, which is equal to 9.

Step-by-step explanation:

5 0
3 years ago
The product of the roots of the equation x2 + x=2 is:<br> 0-2<br> 01
gregori [183]

Answer:

-2

Step-by-step explanation:

x^2 + x=2

Subtract 2 from each side

x^2 + x-2=2-2

x^2 + x-2=0

Factor

What 2 numbers multiply to -2 and add to 1

2*-1 = -2

2+-1 =1

(x-1)(x+2)=0

Using the zero product property

x-1 = 0  x+2 = 0

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Product of the roots

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5 0
2 years ago
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anzhelika [568]

The slope is the change in Y over the change in X:

Slope = (3 -12) / (4-0)

Slope = -9/4

The answer is the 3rd choice.

7 0
3 years ago
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