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rewona [7]
3 years ago
6

Question 1

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

Answer:

<em>T5 = 512</em>

Step-by-step explanation:

Given the sequence

2,8, 32, 128,...

The sequence is a geometric progression

nth term of a geometric progression is expressed as:

Tn = ar^n-1

a is the first term = 2

n is the number of terms = 5 (next term is the 5th term)

r is the common ratio = 8/2 = 32/8 = 4

Substitute and get the fifth term

T5 = 2(4)^5-1

T5 = 2(4)^4

T5 = 2*256

<em>T5 = 512</em>

<em>Hence the next term is 512</em>

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four students have to give a speech in class today. In how many different orders can they give their speeches?
bulgar [2K]

Answer:

There are 24 possible outcomes.

Step-by-step explanation:

1. 1-2-3-4

2. 1-4-3-2

3. 1-4-2-3

4. 1-2-4-3

5. 1-3-2-4

6. 1-4-3-2

7. 2-4-3-1

8. 2-1-3-4

9. 2-1-4-3

10. 2-4-1-3

11. 2-3-1-4

12. 2-3-4-1

13. 3-2-1-4

14. 3-2-4-1

15. 3-1-2-4

16. 3-1-4-2

17. 3-4-1-2

18. 3-4-2-1

19. 4-3-2-1

20. 4-3-1-2

21. 4-2-3-1

22. 4-2-1-3

23. 4-1-2-3

24. 4-1-3-2

Hope this helps!!


5 0
3 years ago
Please help I don’t want to give up it’s getting hard
Svetradugi [14.3K]

Answer:

144 goes with 12, 36 goes with 6, 9 goes with 3, and 121 goes with 11.

Step-by-step explanation:

The second number stated in each phrase is time itself to create the first number. For example, 144. If we take the second number in the number phrase (12) and time it by itself (12 * 12) it equals 144. This applies to each number phrase.

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3 years ago
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Dafna1 [17]

Answer:

2

Step-by-step explanation:

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4 0
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Tpy6a [65]

Answer:

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Step-by-step explanation:

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3 years ago
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9514 1404 393

Answer:

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Step-by-step explanation:

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_____

You recall that quadrants are numbered 1 to 4 counterclockwise, starting from upper right.

8 0
3 years ago
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