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lyudmila [28]
3 years ago
7

Q varies inversely as the square of p, and Q = 36 when p = 7. Find Q when p = 6.

Mathematics
1 answer:
snow_lady [41]3 years ago
4 0

Answer:

49

Step-by-step explanation:

1. Calculate the constant of proportionality

Q = k/p²

k = Qp²     Multiplied each side by p²

  = 36 × 7²

  = 36 × 49

  = 1764

2. Calculate the new value of Q

Q = 1764/p²

  = 1764/36

Q = 49

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M. Score: 0 of 1 pt
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_____

* If this were not prime, it would be divisible by a prime less than its square root. √53 ≈ 7.3. We know it is not divisible by 2, 3, or 5. We also know the closest multiples of 7 are 49 and 56, so it is not divisible by 7. Hence 53 is prime.

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