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Kisachek [45]
3 years ago
5

What is the 6th term in the sequence below? 4,-8, 16, -32,

Mathematics
2 answers:
AURORKA [14]3 years ago
4 0

Answer:

−128

Step-by-step explanation:

BartSMP [9]3 years ago
4 0

<em>Assuming the pattern continues...</em>

Answer:

128

Step-by-step explanation:

We see that this is a geometric series with common ratio -2.

So, the 6th term is the 4th term times (-2)^2=2^2=4.

So, the answer is 4(-32)=\boxed{128} and we're done!

Note:

The closed form for this geometric series is 4*(-2)^{n-1}, which means the nth term is always 4*(-2)^{n-1}.

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What are the more appropriate measures of center and spread for this data set?<br> 5 8 10 14 24
julia-pushkina [17]

Answer:

B. and D. is the answer.

5 0
2 years ago
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Which number is closest to - 102 (square root)?<br> A. -11.5<br> B. -10.0<br> C. -9.7<br> D. -11.1
andre [41]

Answer:

B. -10.0

Step-by-step explanation:

-10.0² = -100

thus= -10.0 is the closest to -102 (square root)

3 0
2 years ago
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(3x+1)/(3x+2) = (x+2)/(x-5)
jonny [76]

Answer:

x = -9/22 or -0.409 to the nearest thousandth.

Step-by-step explanation:

Cross multiplying we get:

(3x + 1)(x - 5) = (3x + 2)(x + 2)

3x^2 - 14x - 5 = 3x^2 +8x + 4

3x^2 - 3x^2 - 14x - 8x = 4 + 5

-22x = 9

x = -9/22

6 0
2 years ago
What is the equation of the line that is perpendicular to y, =, 1 over 3 x, 4. And contains the point negative 2, negative 5,?.
Anit [1.1K]

The equation of the line is, \rm y = 3x + 1.

Given that,

The equation of the line is,

\rm y = \dfrac{1}{3} x+4\\

And contains the point (-2, -5).

We have to determine,

What is the equation of the line that is perpendicular to the given line?

According to the question,

The equation of the line is,

\rm = \dfrac{1}{3}x + 4\\

On comparing with the standard equation of the line y = mx +c.

The slope of the line m_1 is 1/3.

When two lines are perpendicular the relation between these slopes is,

\rm m_1\times m_1 = {-1}\\\\\dfrac{-1}{3} \times m_2 = -1\\\\-1 \times m_2 = -1 \times 3\\\\-m_2 = -3\\\\m_2 = 3

And line contains the point (-2, -5).

Then,

\rm y = mx +c \\\\-5 = 3 (-2) + c\\\\-5 = -6+c \\\\c = 6-5 \\\\c = 1

Therefore,

The equation of the line that is perpendicular to the given line and contains the point (-2, -5) is,

\rm y = mx +c \\\\y = 3x +1

Hence, The required equation of the line is, \rm y = 3x + 1.

For more details refer to the link given below.

brainly.com/question/14388443

7 0
2 years ago
What is the precent of 2 is 8?
Vlad [161]
2 * x/100 = 8

x/100 = 4

x = 400

400%
3 0
3 years ago
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