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DochEvi [55]
2 years ago
12

What is the 11th term of the sequence 1, 2, 4, 8, 16, ...?

Mathematics
1 answer:
iris [78.8K]2 years ago
5 0

Answer:

1024

Step-by-step explanation:

16x2=32

32x2=64

64x2=128

128x2=256

256x2=512

512x2=1024

x= previous term multiplied by 2

hopefully this helps :)

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The sum of the digits of a two-digit number is 8. If the digits are interchanged ,new number is 10 more than double the original
vova2212 [387]

Answer:

Original number 26.

Step-by-step explanation:

xy - two-digit number

1) x + y = 8

2) Original two-digit number can be written as

10*x + y

3) If the digits interchanged yx,

then the new number can be written as

10*y + x

4)  Double the original number is

2*(10*x + y)

5) New number is 10 more than double the original number

(10*y + x) - (2*(10*x + y)) = 10

6) Now we have the system of 2 equations:

x + y = 8

(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10

x = 8 - y

8y - 19(8 - y) = 10

8y - 152 +19y = 10

27y = 162

y = 6

x = 8 - y = 8 - 6 = 2

x = 2

So, x =2, y = 6.

Original number 26.

Check:

Original number 26.

New number 62.

Double of the original number = 2*26= 52.

New number is 10 more than double the original number :

62 - 52 = 10 True

6 0
3 years ago
Four Representations: Equations, Tables, Words,
andrey2020 [161]

1) C

2) Graph 1

3) a= 3

4) b= 0

Youre welcome :)

5 0
3 years ago
Jessica and Josh are selling Entertainment Books to raise money for the art room at their school. One book sells for $15. Jessic
Nata [24]

Answer: Josh sold 11 book shows and Jessica sold 198 books.

Look at the attachment for the work.

3 0
3 years ago
There are tickets numbered 1 to 20 that are mixed up and drawn at random. What is the probability that the ticket drawn is numbe
Travka [436]

Answer:

2/20

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20,

6 0
3 years ago
Read 2 more answers
suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordin
Readme [11.4K]

The quadratic regression equation for the stream of water is y=-0.139x^{2} +1.667x {parabola}

     

Given that the water stream produced by fountain is parabola

Vertex of parabola is (6,5) , parbola is facing downward,axis of symmetry of parabola is x=6 and parabola passes through (0,0)

according to symmetry the third point on the parabola is (12,0)

General equation for a parabola⇒ Y=-4aX^{2}

⇒(y-5)=-4a(x-6)^{2}    { as the Vertex of parabola is (6,5) }

⇒(y-5)=-4a(x^{2} +36-12x)

subtituting (0,0) in the equation to get the value of a

⇒-5=-4a(36)

⇒ a=\frac{-5}{144}                      

equation of parabola⇒(y-5)=-4( \frac{5}{144})(x-6)^{2}

Therefore,The quadratic regression equation for the stream of water is y=-0.139x^{2} +1.667x

Learn more about parabola here:

brainly.com/question/21685473

#SPJ4              

                                 

                                       

3 0
2 years ago
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