Alan

2(4z-1)=3(z+2)

8z - 2 = 3z + 6

Subtract 3z from both sides

5z - 2 = 6

Add 2 to both sides

5z = 8

Divide both sides by 5

z = 8/5

It's the input side of a function.  If you have y = f(x) where f is a function then the domain is all the valid values of x that can be used.  The range is all the valid values of y.   

Since sin^-1 reverses the operation of sin then sin-1(sin(2pi/3)) is 2pi/3 radians (or 120°)

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The graph below might help show that w is indeed -4

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n⁶ means n*n*n*n*n*n  i.e. there are 6 n's all multiplied together.

Since 30min = 0.5° this is sin(29.5°). Using the calculator on the home page we get:

Meat!

Per cent increase = 100*(9.75 - 8.75)/8.75 % = 11.43%

Use s = u*t + (1/2)*a*t^2 where s = distance, u = initial velocity = -3 ft/s, t = 3 s and a = +2 ft/s²

i.e. acceleration is positive to the right as labby wrote.

5t +8 = -18

Subtract 8 from both sides

5t = -26

Divide both sides by 5

t = -26/5  or  t = -5.2