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laiz [17]
3 years ago
8

Determine if the sequence below is arithmetic or geometric and determine the

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

∵ The first 3 terms are 12, 6, 3

∵ 6 - 12 = -6

∵ 3 - 6 = -3

∵ There is no common difference between the consecutive terms

∴ The sequence is not an arithmetic sequence

∵ 6 ÷ 12 = 0.5

∵ 3 ÷ 6 = 0.5

∴ There is a common ratio between each two consecutive terms

∴ The sequence is a geometric sequence

∴ The common ratio is 0.5

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3 years ago
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Answers: 
<u>Question 19:</u> 177 bpm
<u>Question 20:</u> 95˚F

Explanations:
<u>Question 19:</u>
You had the formula set up properly like this:
R =  \frac{885 \sqrt{25} }{25}  =  \frac{885(5)}{25}  =  \frac{4425}{25} 
This is where you went wrong - I don't know exactly what you did, but your division of 4425 ÷ 25 is wrong. You should have ended up with 177 which is the correct answer. 
<u>Question 20:</u>
You had the formula set up correctly again, and merely used the wrong sign when adding 32. 
F =  \frac{9(35)}{5} + 32 =  \frac{315}{5} + 32
This is where you went wrong. You subtracted 32 from 63 when you should have added it. (See red circle on your subtraction.)
63 + 32 = 95˚F
7 0
3 years ago
43ones x3 tens=how many tens
KATRIN_1 [288]
There are 129 tens because 43x30 (3 tens) is 1,290
7 0
3 years ago
Find the surface area of each figure (spheres and hemispheres)
xenn [34]

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

= 1,847.25 mi²

8 0
3 years ago
The length of a square tile is 3w centimeters. Alice places 4 square tiles in a row to form a rectangle. Find the perimeter of t
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12,3x4=12
w=12
hope i helped you
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4 years ago
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