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kondaur [170]
3 years ago
13

The velocity of a car increases from 4 m/s at 2 sec. To 32 m/s at 9 sec. What is the car’s average acceleration?

Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0

Answer:

a=4\ m/s^2

Step-by-step explanation:

Given that,

The velocity of a car increases from 4 m/s at 2 sec to 32 m/s at 9 sec.

We need to find the car's average acceleration. It can be given by the change in velocity divided by the change in time. So,

a=\dfrac{v-u}{t_2-t_1}\\\\a=\dfrac{32-4}{9-2}\\\\a=4\ m/s^2

So, the car's average acceleration is equal to 4\ m/s^2.

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24 watts are used on a day when no parts are manufactured
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I have 4 factors. Three of my factors are 1,2 and 10. What is my fourth factor?
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The fourth factor is 20.
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Please show full solutions! WIll Mark Brainliest for the best answer. <br><br> SERIOUS ANSWERS ONLY
Ierofanga [76]

Answer:

  • vertical scaling by a factor of 1/3 (compression)
  • reflection over the y-axis
  • horizontal scaling by a factor of 3 (expansion)
  • translation left 1 unit
  • translation up 3 units

Step-by-step explanation:

These are the transformations of interest:

  g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k

  g(x) = f(x) +k . . . . vertical translation by k units (upward)

  g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis

  g(x) = f(x-k) . . . . . horizontal translation to the right by k units

__

Here, we have ...

  g(x) = 1/3f(-1/3(x+1)) +3

The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:

  • vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
  • reflection over the y-axis . . . 1/3f(-x)
  • horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
  • translation left 1 unit . . . 1/3f(-1/3(x+1))
  • translation up 3 units . . . 1/3f(-1/3(x+1)) +3

_____

<em>Additional comment</em>

The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.

The horizontal transformations could also be described as ...

  • translation right 1/3 unit . . . f(x -1/3)
  • reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)

The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

The surface area of a cube is denoted by: A = 6s², where s is the side length.

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294 = 6s²

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Thus, the answer is 7 inches.

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3 years ago
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