The three identities below are all called pythagorean identities. the second and third follow from the first, as you
saw in example 1 and the exit ticket.
a. for which values of θ are each of these identities defined?
i. sin2(theta) + cos2(theta) = 1, where the functions on both sides are defined.
ii. tan2(theta) + 1 = sec2(theta), where the functions on both sides are defined.
iii. 1 + cot2(theta) = csc2(theta), where the functions on both sides are defined.
b. for which of the three identities is 0 in the domain of validity?
c. for which of the three identities is

2 in the domain of validity?
d. for which of the three identities is −
4 in the domain of validity?

$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

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.