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densk [106]
3 years ago
12

If p is inversely proportional to the square of q, and p is 16 when q is 11, determine p

Mathematics
2 answers:
user100 [1]3 years ago
8 0

Answer:

p= 121

Step-by-step explanation:

p\alpha \frac{1}{q^{2} }

p=k/q^{2}

k=pq^{2}

Get the value of your constant k

k=(16)(11^{2})

k= 1936

p= \frac{1936}{q^{2} }

When q=4

p=  \frac{1936}{4^{2} }

p= 121

Blizzard [7]3 years ago
5 0

Answer:

p = 121

Step-by-step explanation:

inveresly proportional

pq² = k

find k the constant of proportionality

p is 16 when q is 11,

16 * 11² = k

k = 1,936

----------------------------

pq² = 1,936

determine p when q is equal to 4.

p * 4² = 1,936

16p = 1,936

p = 1,936/16

p = 121

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