If x is a positive integer, how many positive integers less than x are divisors of x ? x2 is divisible by exactly 4 positive integers less than x2. 2x is divisible by exactly 3 positive integers less than 2x.

"x ^ 2 is divisible by exactly 4 positive integers less than x ^ 2"

Step-by-step explanation:

Let's review each statement:

"x ^ 2 is divisible by exactly 4 positive integers less than x ^ 2"

This means that:

x ^ 2 = a ^ 4,

Where a is a prime number.

The reason is that the number of factors of a ^ 4 = 4. For example, say a ^ 4 = 2 ^ 4 = 16. The no. of the factors of 16 are 1, 2, 4 and 8. 16 is not counted because they mention everything less than x ^ 2, that is, everything except ^ 4 and 2 ^ 4 is 16, therefore it is not included.

So we already know that the first statement is fine, therefore it is the correct answer.

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47