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Archy [21]
3 years ago
15

What is the common difference for the arithmetic sequence?

Mathematics
2 answers:
kramer3 years ago
5 0
The common difference is -6.

Because,
14 - 6 = 8
 8 - 6 = 2
 2 - 6 = -4
 -4 - 6 =-10
Artemon [7]3 years ago
3 0

Answer: The common difference= -6


Step-by-step explanation:

Here in the given sequence the first term=a_1=14

The second term=a_2=8

The third term=a_3=2

The fourth term=a_4=-4

The fifth term=a_5=-10

The difference between the consecutive terms=d=a_2-a_1=8-14=-6

d=a_3-a_2=2-8=-6

d=a_4-a_3=-4-6=-6

d=a_5-a_4=-10-(-4)=-6

hence the common difference= -6

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How long will it take for a falling object to reach 108 m/s if its initial velocity is 10 m/s?
defon

Answer:

t=10 s

Step-by-step explanation:

v=u+gt

108=10+9.8t

108-10=9.8t

9.8t=98

t=\frac{98}{9.8} =\frac{980}{98} =10

4 0
1 year ago
James and Gavin purchase two baseball tickets. Tickets cost $8.50 each, drinks cost $3.50 each, and bags of popcorn cost 3.00 ea
Lunna [17]
D = drinks, p = popcorn
17 + 3.50d + 3.00p

variables : a letter in place of an unknown number : (d and p)
coefficients : the number multiplied by the letter : (3.50 and 3.00)
constants : a lone number, no variables attached : (17)
6 0
4 years ago
Mrs. Martz is travelling to 300 miles to Florida
Scrat [10]

Answer:

:)

Step-by-step explanation:

300/60%=180

5 0
4 years ago
Today, both the soccer team and the basket ball team had games (starting on Monday). The soccer team plays every 3 days and the
yarga [219]
I think eight because if you add those days together they will play again in eight days so that they play on the same day.

Sorry if I got it wrong I tried and that's what counts, right?
3 0
3 years ago
Shianne is looking up at the flag on the top of the sailboat she is sailing on. She is sitting 16 feet from the bottom
storchak [24]

Answer:

height of the flag from the bottom of the boat ≈ 32 ft (nearest foot)

Step-by-step explanation:

She is on her boat and the angle of elevation to the top of the flag is 58°. Her eyes her 6 ft above the bottom of the boat she is sailing on. The height of the flag from the bottom of the boat is the sum of the height of the flag and the remaining height from the horizontal line of sight upward to the flag top.

A right angle triangle was formed Shianne line of sight. The angle from her line of sight is 58° from the horizontal. Therefore,

the adjacent side of the triangle formed is 16 ft which is the distance from the boat to the flag.

adjacent side = 16 ft

opposite angle = ?

using tangential ratio

tan 58° = opposite/adjacent

tan 58° = h/16

cross multiply

h = 16 × 1.60033452904

h = 25.6053524647

height of the flag from the bottom of the boat = 25.6053524647  + 6 = 31.6053524647

height of the flag from the bottom of the boat ≈ 32 ft(nearest foot)

7 0
3 years ago
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