the energy E posessed by a moving object of mass M and velocity V. varies as it's mass and the square of its velocity. (a)..write down the equation connecting E, M and V..(v)what would be the % change in energy when v us increased by 20% and M is decreased by 15%

Energy of a mass M varies as it's mass, M, times the square of its' velocity, or E=MV�

b. If V is increased by 20%, then E changes by (1+.2)�-1, or +44%. If M is decreased by 15%, then E=((1-.15)M)V�, or E decreases by 15%

Step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)