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Sholpan [36]
3 years ago
12

12. Write the first five terms of two different sequences that have 10 as the

Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0

Answer:

a)  The arithmetic sequence with common difference 2 that has 8 as the first term.

b) The arithmetic sequence of common difference -5 and first term 15.

Step-by-step explanation:

Let's use for example the arithmetic sequence with common difference 2 that has 8 as the first term. Then the first two terms of this sequence are:

8, and (8+2) = 10 Therefore the second term is 10.

Another arithmetic sequence of common difference -5 and first term 15. The firs two terms of this sequence are:

15, and  (15 - 5)  = 10. Therefore again a 10 as second term.

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carmen rides her bicycle at a constant rate to the market. when she rides her bicycle back home along the same route, she bikes
sergeinik [125]
The answer is 28.
Check: 28-12= 16
1/4 of 16= 4
3/4 of 16= 12
so Carmen takes 3/4 more time of the trip to the market when she return s home.
7 0
2 years ago
Tabitha decided to start saving pennies for a stretch of two months and initially started with 2 pennies. A table showing the nu
svetoff [14.1K]

Answer:

  • after week 7: 4374 pennies
  • 486 pennies: after week 5

Step-by-step explanation:

The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...

  an = 6·3^(n-1)

This can be rearranged to ...

  an = 2·3^n

__

When n=7, the value is ...

  a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks

__

To find when there are 486 pennies saved, we can solve the equation ...

  486 = 2·3^n

  243 = 3^n

  log(243) = n·log(3) . . . . . . . take the logarithm

  log(243)/log(3) = n = 5 . . . . divide by the coefficient of n

Tabitha will have saved 486 pennies after 5 weeks.

7 0
3 years ago
Quinn is flying a kite. The angle of elevation formed by the kite string and the ground is 40°, and the kite string forms a stra
emmasim [6.3K]

The distance between the ground and the kite to the nearest foot is 64 ft.

<h3>What is a right angle triangle?</h3>

A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms a right angle triangle.

Hence,

The length of the kite string is the hypotenuse side of the triangle formed.

The height between the ground and the kite is the opposite side of the triangle formed.

Therefore, using trigonometric ratio,

sin 40 = opposite / hypotenuse

sin 40 = h / 100

cross multiply

h = 100 sin 40

h = 100 × 0.64278760968

h = 64.2787609687

h = 64 ft

Therefore, the distance between the ground and the kite to the nearest foot is 64 ft.

learn more on right triangle here: brainly.com/question/27482803

#SPJ1

7 0
2 years ago
Plzz help....Calculate the length of the corresponding sides for FGHIJ and ABCDE. You will need to use the distance formula
GaryK [48]

Answer:

PLATO Explanation in the image below :)

5 0
3 years ago
Read 2 more answers
Is (4,-5), (0,-5), (11,30), (17,10) a function
Ratling [72]

Answer:

Yes, it is a function

Step-by-step explanation:

A function is a set of ordered pairs where there is no two of the same domain. The domain is the first coordinate which is x. In this case, the x coordinates are 4, 0, 11, 17. There is no two of the same domain so this is a function.

Hope This Helps :)

4 0
3 years ago
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