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adelina 88 [10]
2 years ago
8

Find the value of a given 5^a = ...the rest is in the document , I'll give brainliest

Mathematics
1 answer:
Monica [59]2 years ago
5 0

Answer:

a=2/3 or 0.66666666...

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  b. 8.75 N

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<h3>(a)</h3>

Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...

  f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)

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Then the equation of interest is ...

  f = 17.5/c . . . . . . . where c is in cm, and f is in newtons

__

<h3>(b)</h3>

Using the above equation, we find the force to be ...

  f = 17.5/2 = 8.75 . . . . newtons

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<em>Additional comment</em>

We often look at several different kinds of proportionality:

  • y = kx . . . . direct
  • y = k(1/x) . . . . inverse
  • y = kx² . . . . proportional as the square
  • y = kx·z . . . . jointly proportional to x and z

and there are combinations of these, such as ...

  • y = kr²h . . . . jointly proportional to h and the square of r

You may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x  ⇒  xy = k

__

We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.

  f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel

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2 years ago
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