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hey! my question is [(a+b)/2]^3 </= (a^3 + b^3)/2 thx :)

it's question 7 e) from last year's HSC paper. this is the worked solution for that part. it says to multiply each term by 2h/gt1t2 but i dont think it's right because LHS wont equal RHS someone please help me thx =)

hey! i need an estimate ATAR. these are the ranks and subjects i do. Biology 3/46 Chemistry 2/23 Physics 4/26 Ext 1 Maths 1/48 Ext 2 Maths 3/10 English Standard 21/59 (how i wish english wasn't counted) School Rank 08: 56 and i need advice on how to improve on my english mark!! thank you!

hey guys. i'm helping a friend look for the best undergrad psychology course in australia.. any thoughts? and why so too? thx!:)

a,b,c,d are positive real numbers, each strictly less than pie/2. i) Show that cos a cos b< or = {cos 1/2 (a+b)}^2 ii) Hence show that cosa cosb cosc cosd < or = {cos 1/4 (a+b+c+d)}^4 i cant solve the second part. thx!=D

T(ct,c/t) is a point on the rectangular hyperbola xy=c^2. The point M is the foot of the perpendicular drawn from the origin O to the tangent to the hyperbola at T. i) Show that the tangent to the hyperbola at T has equation x+t^2 y-2ct=0 ii) Find the coordinates of M. iii) Find the...

i dont quite get this example in the cambridge textbook. it's on page 134, example 19. can someone please explain it? thx! i dont quite get how you find the argument = pie/4

i recently read the FAQs for MBBS at UNSW. And it tells us about the UAI and ATAR scores required to gain an interview. Im not sure is whether or not the UMAT scores stated on the table are the raw marks (compared to the number of questions) or are those scaled already? THX

what strong acid and weak base form zinc sulfate and copper sulfate? and also, which strong base and weak acid form magnesium sulfate? i cant seem to find any =[ thx!

I need help, please someone.... a A 2.3 × 10–4 mol/L solution of sulfuric acid is completely dissociated. Calculate its pH. b The pH of an 0.020 mol/L solution of sulfuric acid was 1.58. What can you deduce about the extent of ionisation of the HSO4 – ion in this solution? answers: a) 3.34...

Hydroxide ions are formed when a hydrogen ion is removed from water. Can a Hydrogen ion be added to an Oxygen atom to from the hydroxide ion? Or it just doesnt happen?

Do enzymes denature when they aren't in their optimum pH? Say pepsin, it is most active at a very low pH. Does it mean that it would denature if it was placed in a basic or neutral condition?

why is it when bromine water is added to a testube filled with cyclohexane, the bromine water initially sets at the bottom but after a while, the bromine water settles on top of the cyclohexane?

Need help on this question: Describe the circumstances where would it be necessary to detect radiation. Thx!

does anyone know what the chemical properties of cobalt-60 (radiotherapy) and caesium-137 (thickness gauges in industry) are???