Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

If pis inversely proportional to the square of q, and p is 23 when q is 4, determine p
when q is equal to 2.

Sagot :

MrRoyal

Answer:

[tex]p\ =\ 92[/tex]

Step-by-step explanation:

Given

[tex]p\ \alpha\ \frac{1}{q^2}[/tex]

[tex]p =23; q=4[/tex]

Required

Find p, when [tex]q = 2[/tex]

We have:

[tex]p\ \alpha\ \frac{1}{q^2}[/tex]

Express as equation

[tex]p\ =\ \frac{k}{q^2}[/tex]

Make k the subject

[tex]k =pq^2[/tex]

When: [tex]p =23; q=4[/tex]

[tex]k =23 * 4^2[/tex]

[tex]k =368[/tex]

When [tex]q = 2[/tex], we have:

[tex]p\ =\ \frac{k}{q^2}[/tex]

[tex]p\ =\ \frac{368}{2^2}[/tex]

[tex]p\ =\ \frac{368}{4}[/tex]

[tex]p\ =\ 92[/tex]

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.