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Vlad [161]
3 years ago
10

You are having a discussion about sequences with your classmate. She insists the the sequence 2,3,5,8,12 must be either arithmat

ic or geometric. Is she correct or incorrect? Explain.
Mathematics
1 answer:
IgorC [24]3 years ago
4 0
The sequence is, in fact, quadratic. It is described by the equation
.. a[n] = (n*(n -1))/2 +2

First differences are increasing, so the sequence will not be arithmetic. An arithmetic sequence has constant first differences.

Second differences are constant, so the sequence will not be geometric. A geometric sequence will have first-, second-, third-differences, and those to any level, that have the same constant ratio as the terms of the original sequence.
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Anna spends her entire allowance one month. she spends 1/2 on new clothes, 1/6 on food, 1/9 on movies and 2/9 on music. how much
BabaBlast [244]

Answer:

b. 7/18.

Step-by-step explanation:

That would be 1/2 - 1/9

= 9/18 - 2/18

= 7/18.

8 0
3 years ago
Read 2 more answers
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27,
Tanya [424]

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

y=\frac{27}{3}x\\y=9x

The constant of proportionality between y and x  is 9.

We want to determine which relationships have the same constant of proportionality 9.

<u>Option A</u>

y=9x

The constant of proportionality is 9.

<u>Option B</u>

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

<u>Option C</u>

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

<u>Option D</u>

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

<u>Option E</u>

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

4 0
3 years ago
The cheerleading squad at Oxford High School had 20 members with the old coach. Now, with the new coach, there are 25 members on
Iteru [2.4K]
(I’m not completely sure)

(25 - 20) (divided by) 20 x 100
Is the formula for percentage increase

The answer would be 25%

3 0
3 years ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8
svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0
2 years ago
(7x + 5)(2.13 – 412 + 9.1 – 3)
GREYUIT [131]

Answer-14131.95

Step-by-step explanation:

4 0
2 years ago
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