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ddd [48]
3 years ago
13

Which of the following is an arithmetic sequence?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0
Answer: Only the second sequence is arithmetic. 

Work:
An arithmetic sequence is a sequence in which there is a common value added or subtracted between each term in the sequence. 
The first option, -2, 4, -6, 8,... is not arithmetic because the terms switch back and forth between positive and negative signs meaning that there is no common value that can be added between each term. 
The second option, -8, -6, -4, -2,... is arithmetic because there is a common difference between each term which is +2.
The third option, 2, 4, 8, 16,... is not arithmetic but is, in fact, geometric. There is no common value that is added or subtracted between each term. 
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A bag contains 5 blue marbles, 2 green marbles, and 3 yellow marbles. What is the probability of choosing one green marble and t
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Answer:

Step-by-step explanation:

Total number of marbles = 5 + 2 + 3 = 10

Probability of choosing 1 green marble = 2/10

Probability of choosing 1 yellow marble = 3/10

Notice (and this is important) that the denominator didn't change. Why?

Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.

So what is the probability of P(green then yellow)?

P(green then yellow) = 3/10 * 2/10 = 6/100

Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.

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3 years ago
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This figure is made up of two rectangular prisms.
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Use the diagram to find the measure of each angle. Enter the number only.
Pavlova-9 [17]

9514 1404 393

Answer:

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

Step-by-step explanation:

Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.

__

Working from the top and from the given angles, ...

  h = 60°

  f = g = 180° -h = 120°

  j = 124°

  k = i = 180° -124° = 56°

  a = 64°

  b = d = 90°

  c = e = 90° -64° = 26°

In summary, measures in degrees are ...

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

7 0
2 years ago
Isaiah has $145 in his savings account. He earns $36 a week mowing lawns.
valentina_108 [34]

Answer:

8 weeks

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Amount saved from mowing lawns = $433 - $145

= $288

Number of weeks to save $288 from $36 a week = 288/36 = 8 weeks

3 0
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