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OverLord2011 [107]
2 years ago
10

An object travels 1000 m in 40 s. what speed was it travelling?

Mathematics
1 answer:
Maksim231197 [3]2 years ago
3 0

Answer:

25m/s

Step-by-step explanation:

1000/4=25

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Answer:

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Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

m =\frac{y_2 - y_1}{x_2 - x_1}

Pick any two corresponding points from the table

So, we have:

(x_1,y_1) = (8,1.21)

(x_2,y_2) = (12,1.63)

So:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1.63 - 1.21}{12 - 8}

m =\frac{0.42}{4}

m =0.105

The linear equation is then calculated using:

y = m(x - x_1) + y_1

This gives:

y = 0.105 * (x - 8) + 1.21

Open bracket

y = 0.105x - 0.84 + 1.21

y = 0.105x + 0.37

To get the length closest to 4.2lb,

we set y = 4.2

Then solve for x

So, we have:

y = 0.105x + 0.37

4.2 = 0.105x + 0.37

Collect like terms

0.105x= 4.2 - 0.37

0.105x= 3.83

Solve for x

x= 3.83/0.105

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