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Molodets [167]
3 years ago
7

Identify a pattern in the given list of numbers. Then use this pattern to find the next number. 4,16,64,256,1024

Mathematics
2 answers:
lawyer [7]3 years ago
4 0
This is a pattern of 4^1, 4^2, etc.
4^1 = 4
4^2 = 16
4^3 = 64
4^4 = 256
4^5 = 1024
The next term would be
4^6 = 4096
FromTheMoon [43]3 years ago
3 0
The pattern is multiply by 4. so the next number is 4096
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Three runners are training for a marathon. One day, they all run about ten miles, each at their own constant speed. Which of the
kotykmax [81]

Answer:

Runner 1 has the fastest pace

Step-by-step explanation:

The first one we need to find the slope

m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile

The second  is 8.5 minutes per mile

The third we need to find the slope

m = (y2-y1)/(x2-x1) = (90-72)/(10-8) =18/2 = 9 minutes per mile

6 0
3 years ago
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The cost of a council tax bill increased by 5%.
andreyandreev [35.5K]

The council tax bill before the increase is £1240

The equation that represents the percentage increase in council tax bill is :

percentage increase x t = £62

Where t represents the initial council tax bill - council tax bill before the 5% increase

5% x t = £62

0.05 x t = £62

Divide both sides of the equation by 0.05

t = £62 / 0.05 = £1240

To check if the answer derived is correct : 5% x 1240 = 62.

A similar question was answered here: brainly.com/question/12066598?referrer=searchResults

5 0
3 years ago
To convert 5.25 minutes to seconds, you would use the ratio =
vivado [14]

Answer:

A. True

Step-by-step explanation:

To convert 5.25 minutes to seconds, you would use the ratio =  seconds, you would use the ratio 1 second  60 minutes.

7 0
3 years ago
Solve for x using figure to the right. Pls answer this it is urgent
goldenfox [79]

Answer:

Therefore the value of x = 10 units

Step-by-step explanation:

Let label the Triangles first,

Δ ABC a right triangle at ∠ A =90°

Δ ADB andΔ ADC a right triangle at ∠ D =90°

Such that

AD = x

BD = 50

CD = 2

∴ BC = BD + DC = 50 + 2 = 52

To Find:

x = ?

Solution:

In right triangle  By Pythagoras Theorem,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

In right triangle Δ ADB andΔ ADC  By Pythagoras Theorem we will have,

AB² =  BD² + AD²

AB² = 50² + x²            ..................equation ( 1 )

and

AC² = DC² + AD²

AC² = 2² + x²             ...................equation ( 2 )

Now in right triangle Δ ABC,

BC² = AB² + AC²

Equating equation  (1 ) and ( 2 ) and the given value we get

52² = 50² + x² + 2² + x²

∴ 2x² = 2704 - 2504

∴ 2x² =200

∴ x^{2} =\frac{200}{2}\\\\\therefore x=\pm\sqrt{100} \\\\ \textrm{x cannot be negative}\\\therefore x= 10\ unit

Therefore the value of x = 10 units

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3 years ago
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