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Margaret [11]
2 years ago
15

What is the missing number in this sequence? 3,7,15, 63, 127

Mathematics
1 answer:
miss Akunina [59]2 years ago
7 0

Answer:

31

Step-by-step explanation:

3 times 2 is 6, plus 1 is 7

7 times 2 is 14, plus 1 is 15

15 times 2 is 30, plus 1 is 31

31 times 2 is 62, plus 1 is 63

63 times 2 is 126, plus one is 127

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.

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earnstyle [38]
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3 years ago
the length of a soccer pitch is 20 m less than twice its width. the area of the pitch is 6000m^2. find its dimensions.
Setler79 [48]
X=width of a coccer pitch
2x-20=length of a soccer pitch
Area (rectangule)=length x width
We suggest this equation:
x(2x-20)=6000
2x²-20x=6000
2x²-20x-6000=0
x²-10x-3000=0
We solve this quadratic equation:

x=[10⁺₋√(100-4*1*-3000)]/2=[10⁺₋√(100+12000)]/2=
=(10⁺₋110)/2
we have two solutions:
x₁=(10-110)/2=-50, invalid solution.
x₂=(10+110)/2=60

x=60
2x-20=2(60)-20=120-20=100

Solution: the length is 100 m, and the width is 60 m.

To check:
Area=100 m*60 m=6000 m²
The twice of width is =2(60 m)=120 m,
20 m less than twice its width is: 120 m-20 m=100 m=the length.


8 0
3 years ago
One inch is what part of one yard?<br><br> F. 1/12<br> G. 1/100<br> H. 1/3<br> J. 1/36
viva [34]

I think the answer is either:

J.1/36 or G.1/100

Because 1 yard is 0.027778 inch. So it has to be a really small fraction.

3 0
3 years ago
Read 2 more answers
All models are reductions of the original object.<br> True<br> False
viktelen [127]

Answer:

true

Step-by-step explanation:

models are a smaller example of an original object

3 0
2 years ago
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Irina18 [472]

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• height = <em>x</em> ² + 2

• thickness = d<em>x</em>

and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.

Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

\displaystyle 2\pi \int_0^5 (5-x)(x^2+2)\,\mathrm dx=2\pi\int_0^5 (10-2x+5x^2-x^3)\,\mathrm dx=\boxed{\frac{925\pi}6}

4 0
2 years ago
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