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Marysya12 [62]
3 years ago
8

An industrial laser cuts steel plates that are 11.93 meters long. The laser can have an error value of at most 0.02 meters.

Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

Answer:

  • | x - 11.93 | ≤ 0.02
  • 11.91 ≤ x ≤ 11.95

Step-by-step explanation:

Error is the difference from the nominal value, hence the nominal value is what is subtracted from x. We want the magnitude of that difference, | x-11.93 |, to be less than the maximum error value, 0.02, so the inequality is ...

  |x -11.93| ≤ 0.02

__

We can solve this by "unfolding" it, then adding 11.93:

  -0.02 ≤ x -11.93 ≤ 0.02

  11.91 ≤ x ≤ 11.95

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eduard

Answer:

S₁₅ = 127.5

Step-by-step explanation:

the nth term of an arithmetic progression is

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where a₁ is the first term and d the common difference

given a₃ = 1 and a₇ = 7 , then

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with a₁ = - 2 and d = 1.5 , then

S₁₅ = \frac{15}{2} [ (2 × - 2) + (14 × 1.5) ]

     = 7.5(- 4 + 21)

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