The intensity (i) of a sound wave varies jointly as the square of its frequency (f), the square of its amplitude (a), the speed of sound (v), and the density (d) of the substance the wave is traveling through. which shows this relationship using k as the constant of proportionality? a) k = i f2a2vd b) i = k f2a2vd c) k = if2a2vd d) i = kf2a2vd

Find two numbers if their sum is 91 and the ratio is 6: 7?

White shapes and black shapes are used in a game. some of the shapes are circles. while the rest are squares. the ratio of the number of white shapes to the number of black shapes is 5: 11. the ratio of the number of white cicrles to the number of white squares is 3: 7. the ratio of the number of black circles to the number of black squres is 3: 8. work out what fraction of all the shapes are circles.

At the beginning of year 1, carlos invests $600 at an annual compound interest rate of 4%. he makes no deposits to or withdrawals from the account. which explicit formula can be used to find the account's balance at the beginning of year 5? what is, the balance?