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Elza [17]
3 years ago
6

1, 1/4, 1/9, 1/16, 1/25.... write the explicit formula for this sequence

Mathematics
2 answers:
Dimas [21]3 years ago
8 0

a_n=\dfrac{1}{n^2}

VMariaS [17]3 years ago
5 0

\bf \stackrel{\frac{1}{1^2}}{1}~~,~~\stackrel{\frac{1}{2^2}}{\cfrac{1}{4}}~~,~~\stackrel{\frac{1}{3^2}}{\cfrac{1}{9}}~~,~~\stackrel{\frac{1}{4^2}}{\cfrac{1}{16}}~~,~~\stackrel{\frac{1}{5^2}}{\cfrac{1}{25}}~\hspace{7em}a_n=\cfrac{1}{n^2}

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Consider the line y = 3/8x + 3
Finger [1]

Answer:

Perpendicular line y = (- 8/3)x - 76/3.

Parallel line y = (3/8)x - 1

Step-by-step explanation:

y = 3/8

x + 3

1) Perpendicular line has negative reciprocal slope.

m = - 8/3

y = (- 8/3)x + b

Point (-8, - 4)

- 4 = (- 8/3)*(-8) + b

-4 - 64/3 = b

b = - 76/3

y = (- 8/3)x - 76/3

2) Parallel line has the same slope.

m = 3/8

y = (3/8)x + b

Point (-8, -4)

- 4 = (3/8)*(- 8) + b

- 4 + 3 = b

b = - 1

y = (3/8)x - 1

6 0
3 years ago
Find Mean, Median, mode and range. Round to the nearest tenth.
stiv31 [10]

Answer:

  • Mean = 26.24
  • Median = 27
  • Mode = 32
  • Range = 38

Step-by-step explanation:

Plotting the original data from leaf plot

9,11,12,12,14,17,25,25,27,32,32,32,33,35,41,42,47

<em><u>Finding Mean:</u></em>

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                                            \mu=\frac{446}{17}

                                                                = 26.24

Therefore, the range = 26.24.

<u>Finding Median:</u>

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47  

So, the median is 27 .

<em><u>Finding Mode: </u></em>

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47

We see that the mode is 32.

<em><u>Finding Range:</u></em>

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

9   11   12   12   14   17   25   25   27   32   32   32   33   35   41   42   47

The lowest value is 9.

The highest value is 47.

The range = 47 - 9 = 38

4 0
3 years ago
Farmer George is painting 3 chicken coops. He started painting this morning. Now he only has 3/4 of a chicken coop left to paint
mariarad [96]
If Farmer George starts painting in the morning, and only has 3/4 of a chicken coop left to paint:
3-3/4=
12/4-3/4=9/4 painting in the morning
To put it in a mixed number,  2 1/4 (aka 2.25)
3 0
3 years ago
Read 2 more answers
In a card game it is possible to have negative score. If Laura starts with a score is 10 what will be her new score if she loses
Ilya [14]

Answer:

28

Step-by-step explanation:

10-38=28

$&#:÷&#&;#&$;'ebsjdkeowkdbs;#&$;'fbxjrbxjr

4 0
3 years ago
21 fewer stars than three times a nymber h
Minchanka [31]
21 fewer stars than three times a number h
21 - (3 x h)

5 0
4 years ago
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