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NemiM [27]
3 years ago
11

A car's velocity changes at a rate of 36 miles per hour in 0.5 hour.

Mathematics
1 answer:
kotegsom [21]3 years ago
7 0

Answer:

72

Step-by-step explanation:

In order to find the acceleration we need first to defined it, so:

acceleration=((final velocity)-(initial velocity))/time interval

a=(vf-vi)/dt

But (vf-vi) actually represents the velocity change, so (vf-vi)/dt represents the velocity change rate. This means that in our case:

a=(36miles/hour)/(0.5hours)

a=72miles/hour^2

In conclusion the acceleration is a=72miles/hour^2, without units just 72.

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Write the next three terms of the arithmetic sequence.
JulijaS [17]

The next three terms are: 1/6 , 0 and -1/6

Step-by-step explanation:

Given sequence is:

\frac{5}{6} , \frac{2}{3} ,\frac{1}{2}, \frac{1}{3} ...

First of all, we have to find the common difference

here\\a_1 = \frac{5}{6}\\a_2 = \frac{2}{3}\\a_3 = \frac{1}{2}\\a_4 = \frac{1}{3}\\d = a_2-a_1 = \frac{2}{3} -\frac{5}{6} = \frac{4-5}{6} = -\frac{1}{6}\\d = a_3 - a_2 = \frac{1}{2} - \frac{2}{3} = \frac{3-4}{6} = =\frac{1}{6}

The common difference is -1/6

We can simply add -1/6 to the previous term to find the next terms so,

Adding -1/6 to 1/3

\frac{1}{3} - \frac{1}{6} = \frac{2-1}{6} = \frac{1}{6}\\\frac{1}{6} - \frac{1}{6} = 0\\0-\frac{1}{6} = -\frac{1}{6}

Hence,

The next three terms are: 1/6 , 0 and -1/6

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/2495851
  • brainly.com/question/2491745

#LearnwithBrainly

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Add the two equations.
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Divide by 3 on both sides.
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Your answer is 48\frac{2}{3}.
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