A and b are positive integers and a–b = 3. Evaluate the following:
URGENT WITH SOLUTIONS BY 2:00 PM
a) (9^(0.5b))/3a
b) (27^(1/3b)) /(9^(0.5b))
c) ( 125^(1/3a))/(25^(1/2b))

a) 1/27

b) 1

c) 125

Step-by-step explanation:

a) (9^(0.5b))/(3^a)

(3²)^(0.5b) ÷ (3^a)

(3^b) ÷ (3^a)

3^(b - a)

a - b = 3

b - a = -3

3^(-3)

1/27

b) (27^(1/3b)) /(9^(0.5b))

(3³)^(b/3) ÷ (3²)^(0.5b)

(3^b) ÷ (3^b)

1

c) ( 125^(1/3a))/(25^(1/2b))

(5³)^(a/3) ÷ (5²)^(b/2)

5^a ÷ 5^b

5^(a - b)

5³

125

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice