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3 years ago

Is the sequence 5, 9, 15, an arithmetic sequence? Explain.

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

6 0

Answer:

Step-by-step explanation:

An arithmetic sequence has a common difference between adjacent terms. Here, the differences are ...

9 -5 = 4
15 -9 = 6

The differences are different, not common, so this is NOT an arithmetic sequence.

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A triangular prism container is full of water of 428 cubic cm. The water is 10 cm deep, what is the base area of the container?

Hatshy [7]

<h3>The base area of triangular prism container is 42.8 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The volume of triangular prism is given as:</u></em>

$v = base\ area \times height$

Given that,

A triangular prism container is full of water of 428 cubic cm

The water is 10 cm deep

Therefore,

v = 428 cubic cm

h = 10 cm

<em><u>Substituting the values we get,</u></em>

$428 = base\ area \times 10\\\\base\ area = \frac{428}{10}\\\\base\ area = 42.8\ cm^2$

Thus the base area of triangular prism container is 42.8 cubic centimeter

3 0

3 years ago

A rectangle has a base equal to 10 and height equal to 4 ft what is the perimeter

elena-14-01-66 [18.8K]

The perimeter is 10+10+4+4=28

8 0

3 years ago

Read 2 more answers

Find the square root.<br><br> ±√1.69 = ____ and ____

just olya [345]

Answer:

Step-by-step explanation:

√169 = 13

square root and two digits after dot means the result need to has one digit after dot (number of digits after dot divided by 2 because of square root)

so √1.69 = 1.3

3 0

3 years ago

If there are 20 values in a data set in order from smallest to largest, what is

Natasha_Volkova [10]

Answer:

C The mean of the 10th and 11th values

Step-by-step explanation:

Strike the lowest and largest number until you get 1 or 2:

1, 2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19, 20

2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19

3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18

4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17

5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16,

,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15

,7 8, 9, 10, 11, 12, 13 ,14,

8, 9, 10, 11, 12, 13

9, 10, 11, 12

10, 11,

Finding the Mean:

10+11

21/2

Mean:

10.5

8 0

3 years ago

In how many months will the total cost of both options be the same? What will that cost be?

gregori [183]

If you make yourself a monthly expense chart:
   Months
<u> 1 2    3 4    5    6 7    8    9    10</u>
Opt 1 -80    -30    -30    -30    -30 -30    -30    -30 -30    -30
Opt 2 -40 -40    -40    -40 -40    -40    -40    -40    -40 -40

By month 5 the total amount spent for Opt 1 is $200 and Opt 2 is $200

For part two add up the values for each all the way up to month 9.
Option 1: 80 + 30(8) = 80 + 240 = 320 spent
Option 2: 40(9) = 360 spent

So option 1 is cheaper by month 9

7 0

3 years ago