Given the following equations, determine p as a function of z for each case (i. e. at p_2 = assume at z = z_1, p = p_1 and at z = z_2, p = p_2. answers without work will receive zero credit.
(a) dp/dz = - gamma where gama is a constant
(b) dp/dz = - gp/rt where g, r and t are constants
(c) dp/dz = - gp/r(a - bz) where g, r and t are constants
(d) dp/dz = - gp/r(a - bz) where g, r, a and b are constants

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720

step-by-step explanation:

*calories burned = (weight)(calorie factor)*

calories burned = 180 (0.65)

calories burned = 117

the calories he used up is 117, which is 65% of his weight.