Over the universe of positive integers,

define p(n): n is prime and n < 32.

q(n): n is a power of 3.

r(n): n is a divisor of 27.

explain if possible, !

Answer and explanation:

Over the universe of positive integers,  define the following.

The universe of discourse is i.e. set of positive integer.

a) p(n) : n is prime and n < 32.

The set form in which all numbers are prime and less than 32.

So,

b) q(n): n is a power of 3.

The set form in which all numbers which has power of 3.

So,

c) r(n): n is a divisor of 27.

The set form in which all numbers which is factor of 27

So,

the answer is 150.6

step-by-step explanation:

you multiply .02 by 30 and get .6.

and then you multiply 5.00 by 30 and get 150.

hope this !

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)