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Black_prince [1.1K]
3 years ago
6

What is the next term in the geometric sequence? 54,36,24

Mathematics
2 answers:
katovenus [111]3 years ago
8 0
I think 16...............
vodomira [7]3 years ago
7 0

Answer: 16

Step-by-step explanation:

The formular for calculating the nth term of a geometric progression is arⁿ⁻¹

WHERE a= first term, r = common ratio and n= number of term

a = 54

since we are looking for the fourth term n = 4

To get our common ratio; we simply divide a number by its preceding number

r = 36/54 = 2/3

our fourth term is;

Tn = arⁿ⁻¹

T₄ = 54 (2/3)⁴⁻¹

= 54 (2/3)³

=54(8/27)

= 432/27

=16

Therefore the next term is 16

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From a set of 27 ​marbles, 4 white​, 12 black​, and 11 green​, we choose one at random. What are the odds in favor of choosing a
garik1379 [7]

Answer:

4/27 chance of getting a white marble.

Step-by-step explanation:

There are 4 white marbles but there are 27 marbles in total. If you wanted a percentage, then divide 4 by 27 and place the decimal two places to the right once you founded your answer.

(sorry if it's a bad explanation)

6 0
3 years ago
An air conditioning system can circulate 320 cubic feet of air per minute. How many cubic yards of air can it circulate per minu
Agata [3.3K]

Step-by-step explanation:

It is given that, an air conditioning system can circulate 320 cubic feet of air per minute. We need to find how many cubic yards of air can it circulate per minute?

1 yard = 3 foot

1 feet = (1/3) yard

320 feet = 106.66 yard

320\ \text{feet}^3=320\times( \dfrac{1}{3})^3\ \text{yard}^3\\\\=11.85\ \text{yard}^3

So, it will circulate 11.85 cubic yard of air per minute.

5 0
3 years ago
Please help me ASAP!!!<br> Solve for y.<br> −4.2y+2.1&gt;−2.52
Maru [420]

Answer:

hope it helps you

Step-by-step explanation:

https://mathsolver.microsoft.com/en/solve-problem/-4.2y%2B2.1%20%3E%20%20-2.52

5 0
2 years ago
Read 2 more answers
What is the scientific notation for 0.000006
zaharov [31]
6*10^-6 is the answer
3 0
3 years ago
Can I get help finshing all these qustions 1. -4(6) 2. -21-8) 3. 121-4) 4. -6(5) 5. -10(-9) 6. -(5) 7. (-5) 8. -30(5) 9. 20(-6)
Papessa [141]

Answer:

1. -4(6)= -24

2.-21-8= -29

3. 121-4 =117

4. -6(5) =-30

5. -10(-9)= 90

6. (-5)7= -35

7. (-5)8= -40

8. -30(5)= -150

9. 20(-6)= -120

10. -14(6)= -84

11. (-13)2 = -26

12. –7(15) = -105

13. -3(4) = -12

14. 7(-3) = -21

15. 3(-3) = -9

16. -2(-10) = 20

17. (-5)(-3)(4) = 60

18. -3(-3)(4)= 36

19. -3(-5) = 15

20. 5(-3) = -15

21. 7(-5)(4) = -140

22. -2(-5)(-3)= -30

23. – 10(-3)=30

24. -21-3= -24

Explanation:

We have followed the rules in adding and subtracting negative as well as positive values on the number line.

When adding two negative values, the result is a negative value.

When adding a negative and positive value, the result is either a positive or negative value depending on if the negative value is bigger or smaller than the positive value

When multiplying two negative values, the result is a positive value

When multiplying one negative and one positive value, the result is a negative value

To make you understand addition and subtraction of negative and positive numbers better, let us use a simple analogy. Assuming you are owing five oranges(-5) and you are only able to give two oranges(+2), you will still be owing 3 oranges(-3). Assuming also that you are owing 6 oranges(-6) and you are able to give 8 oranges(+8), you would have given excess oranges and would be owed two oranges(+2). Hence the results above.

8 0
3 years ago
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