Get an answer in 5 minutes

We'll notify as soon as your question has been answered.

Plus iconAsk a question to our educators
MATHS
Asked by Yeeun

P is inversely proportional to the square of Q(P,Q > 0). When P=3, Q=4. Find an equation for P in terms of Q and find the exact value of Q when P=8?

An inverse proportionality means that the two variables are related in a manner like: P=b/Q^2 or P(Q^2)=b where b is a constant of proportionality. If you now substitute the known values for P and Q you will get the value of b: 3*(4^2)=3*16=48. Therefore b=48. So the equation of P in terms of Q is: P=48/Q^2. To find Q when P is 8, you should now solve the equation for Q, so you get: Q^2=48/8=6 therefore Q=sqrt(6). Notice here you take only the positive value of the square root as P,Q are both positive.

Fotios's profile picture
Verified
Fotios Tsitsos
·

6.7k students helped

Similar Maths questions

Maths

Asked by Harvey is a

Simplify 3x-9d+7c+5d

Maths

Asked by Mia

8n-5

What is Q&A on Scoodle?

At Scoodle we understand that everyone learns in a different way. Some people learn through practice, using essays and notes; others prefer video lessons to watch and learn, some just need help with a specifically hard question, while some learn best 1-on-1 tutoring sessions. At Scoodle we cater for all types of learning styles and needs. From GCSE Maths video lessons to A-level English essays and specialist educators in every subject - we’ve got you covered.

Faces of students on ScoodleFaces of students on ScoodleFaces of students on Scoodle
Scoodle has helped over 131,000 students so far

5 Maths tutors available now

Faith's profile picture
Verified
Verified

Faith Lee

Online lessons

Enthusiastic tutor in chemistry and maths

I have graduated from high school in the UK and am currently studying Medicine at UCL. I am very interested in science subjects, and have taken them in A levels, receiving 3A*s. I would therefore like to share my ways of studying as well as exam techniques. I am a curious and enthusiastic individual who is particularly interested in Chemistry. I have been involved in Chemical Analytical Challenges and Symposiums. At school, I have also given biology presentations, including topics of epilepsy and effects of chocolate on the brain. I enjoy learning about the human system as it allows me to understand fully on how our body responds to different situations. I also had the experience of teaching Mathematics, alongside sciences. I have achieved A* within a year in A level maths, with UMS 581/600. I relish the logical thinking in Maths and have tutored several students, giving them advice on how to approach a question when prompted. From past experiences, I adopted a wide range of teaching styles, ranging from interactive whiteboards during online tutoring, to providing quizzes and exercises during face-to-face tutoring. I believe that this interaction will enhance visual learning and enable students to retain knowledge and be more interested in the subject. I am a native Chinese speaker and have taken Chinese GCSE and AS level. In my free time, I am an avid violinist and was the leader of Symphony Orchestra. I have taken music as one of my GCSEs before and I particularly enjoyed the classical pieces studied during the course. I hope to connect with more people and influence students with my passion for the subjects through teaching. Please contact me if interested. Thank you very much.

£35Per hour
350Tutor score
8611Students helped

Need help with Maths?

Getting expert help from a tutor is a great way to improve your Maths grades.

Badge showing the text 'New'Discover learning resources by tutors

Learn Maths with Video Lessons
GCSE Maths - Numbers
1hr 28m · 8 videos
Paja's profile picture
Paja Kruzikova
·

649 students helped

GCSE Maths - Numbers
Quadratic Inequalities
28m · 3 videos
Iqbal's profile picture
Iqbal Lokman
·

1.4k students helped

Quadratic Inequalities
GCSE Maths - Ratios
1hr 32m · 9 videos
Paja's profile picture
Paja Kruzikova
·

649 students helped

GCSE Maths - Ratios
GCSE Maths - Algebra A
56m · 6 videos
Paja's profile picture
Paja Kruzikova
·

649 students helped

GCSE Maths - Algebra A
GCSE Maths - Algebra B
1hr 14m · 7 videos
Paja's profile picture
Paja Kruzikova
·

649 students helped

GCSE Maths - Algebra B
GCSE Maths - Algebra C
1hr 27m · 9 videos
Paja's profile picture
Paja Kruzikova
·

649 students helped

GCSE Maths - Algebra C