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lys-0071 [83]
2 years ago
8

I need help fast pls

Mathematics
1 answer:
mash [69]2 years ago
6 0

Answer:

1.  no

2. no

3. no

4.yes

Step-by-step explanation:

1. if you solve this you will get -11/120 and you want 3/7

2. no because you will get 5/16 and you want 5/8

3. no because you will get 3/8 and you want 5/8

4. yes because you will get 5/8

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What are all values of x for which the series shown converges? ​
adoni [48]

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}

We can write this as:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}

Then we have the inequality

1 > (x - 2)/3

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

5 0
3 years ago
What is the measure of the angle of rotation for the polygon?
m_a_m_a [10]

Answer:

360 degrees divided by that order

7 0
3 years ago
What is the value of z?
VashaNatasha [74]

Answer:

z = 61

Step-by-step explanation:

The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:

z + z - 11 = z + 50

Add like terms, which would be the 2 "z's" on the left side:

2z - 11 = z + 50

Then subtract the z on the right side from both sides:

2z - 11 = z + 50

-z          -z

___________

z - 11 = 50

Add 11 to both sides:

z - 11 = 50

  + 11    +11

________

z = 61

6 0
3 years ago
Volume of triangular prism
galina1969 [7]

Answer:

216

Step-by-step explanation:

9 * 6 = 54

54 * 8 = 432

432/2 = 216 is the answer

5 0
3 years ago
Read 2 more answers
The following table gives the outside temperature in degrees Fahrenheit on a summer afternoon:
makvit [3.9K]
A.
For 12 - 1,
82 - 78 = 4 degrees per hour

For 1 - 3:15,
(88 - 82) / 2.25 = 2.67 degrees per hour

For 3:15 - 4:30,
(93 - 88) / 1.25 = 4 degrees per hour

For 4:30 to 6,
(91 - 93) / 1.5 = 1.33 degrees per hour

The time intervals 12 to 1 and 3:15 to 4 had the fastest rate of change
7 0
3 years ago
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