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Lady_Fox [76]
3 years ago
11

Given the following geometric sequence, find the common ratio: {16, 64, 256, ...}.

Mathematics
2 answers:
Anettt [7]3 years ago
8 0

Answer:

The common ratio is 4

Step-by-step explanation:

We need to divide a term by the previous term to find the common ratio in a geometric sequence:

64 ÷ 16 = 4

256 ÷ 64 = 4

By doing it twice we can confirm that the common ratio is 4

rosijanka [135]3 years ago
4 0

Given the following geometric sequence, the common ratio would be 4.

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Mike and Beth both write the decimal 0.8 (0.88888...)as a fraction. Mike: 45 Beth: 89 Which student wrote the correct fraction?
fenix001 [56]

Answer:

see the explanation

Step-by-step explanation:

we have

0.888...

This is a <u>repeating decimal</u> (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)

Convert to fraction number

Let

x=0.888...

10x=8.888...

Subtract 0.888... from 8.888... to remove the decimal

10x-x=8.888...-0.888...

9x=8

Solve for x

x=8/9

therefore

Mike fraction is incorrect

because 4/5=0.8

0.8 is a <u>terminating decimal </u>(It's a decimal with a finite number of digits)

Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal

Beth is correct

because

If you divide 8/9

the result is 0.8888888...

3 0
2 years ago
Write a number using the following clues:
Korvikt [17]

Answer:

Theres a lot of numbers you can choose from 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96,

Step-by-step explanation:

6 0
2 years ago
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I'll mark you the brainiest if you get this right<br> thx x
GenaCL600 [577]
A) triangle c, has the largest area
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6 0
2 years ago
Louren measures the distance around her circular mirror to
Veseljchak [2.6K]

Answer:

53 cm.

Step-by-step explanation:

Circumference = pi times diameter

We are trying to find diameter so rearrange

Circumference/pi = diameter

166.5/pi = 52.998596

Approximately 53 centimeters of lace

3 0
3 years ago
The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either
kifflom [539]

Hey there,

To solve this problem, let us first define what is mean and median. Mean is the average of all the numbers in the data set while the median is the number in the middle of the data set in ascending order. If we create a box plot for the data of Rome and New York, we can see that there is an outlier in the data for New York. Since New York has an outlier, so the mean is not a good representation on the central tendency of the data. The mean is skewed (distorted) by the outlier. So in this case it is better to use the median. While the Rome data is nice and symmetrical, it does not seem to have an outlier,  so we can use the mean for this data set.

Therefore the answer is:

The Rome data center is best described by the mean. The New York data center is best described by the median

Hoped I Helped

6 0
3 years ago
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