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Rina8888 [55]
3 years ago
7

Fill in the gaps in this sequence: -8, -19, -30, _ , _. (Geometric and arithmetic sequences)

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

-8, -19, -30, -49 , -60

<u>Step-by-step explanation:</u>

Here we have the following sequence :

-8, -19, -30, _ , _

  • First term of sequence is -8 .
  • Second term of sequence is -19 : -8-11 = -19
  • Third term of sequence is -30 : -19-11 = -30
  • Fourth term of sequence is : -30-11 = -49
  • Fifth term of sequence is : -49-11 = -60  

Following sequence was an AP( Arithmetic Progression ) with first term as -8 i.e. a = -8 and common difference d = -11 having general equation as : -8 -11n .

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3 0
3 years ago
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What are the coordinates of the midpoint between (3, -5) and (-7, 2)?
Dahasolnce [82]

Answer:

(-2,-3/2)

Step-by-step explanation:

Midpoint formula=(x1+x2/2, y1+y2/2)

So...

(3+-7/2, -5+2/2) =

(-2, -3/2)

5 0
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You are downloading songs to your MP3 player. The ratio of pop songs to rock songs is 5 : 4. You download 40 pop songs. How many
Bond [772]

Answer:

You download 32 rock songs.

Step-by-step explanation:

*im a 7th grader so dont trust me with this answer lol*

The ratio 5 : 4 can also be written as the fraction 5/4.

The ratio pop songs, 40 : rock songs, r can be written as the fraction 40/r

Set an equation:

40/r = 5/4

Cross Multiply:

5r = 160

Divide 5 from both sides:

r = 32

There you have it, the amount of rock songs downloaded! Hopefully this helps!

7 0
3 years ago
2 Points<br> if f(x) = x2 + 3x + 5, what is f(3 + h)?
r-ruslan [8.4K]

Answer:

h² + 9h + 23

Step-by-step explanation:

Given

f(x) = x² + 3x + 5

To evaluate f(3 + h) substitute x = 3 + h into f(x), that is

f(3 + h) = (3 + h)² + 3(3 + h) + 5 ← expand (3 + h)² using FOIL

            = 9 + 6h + h² + 9 + 3h + 5 ← collect like terms

            = h² + 9h + 23

3 0
4 years ago
36 ft 41 1/2 ft find the area
Likurg_2 [28]
36*41.5=1494
1494 is the area


4 0
3 years ago
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