Explanation

Put 2 in the place of x

4(2)-6=2

8-6=2

2=2

Explanation

The greater than symbol is >. So, 10>9 is read as '10 is greater than 9'.

Explanation

January    31

July            31

March         31

February    28

Explanation

Given:

n = (3/2) / (1/4)

To divide by a fraction, we multiply by its reciprocal:

n = (3/2) × (4/1)

= (3 × 4) / 2

= 12 / 2

= 6

So, n = 6.

The answer is 5 and 7.

Explanation

Given:

x = 0.3

The expression is:

(x^0.5 ∗ x^0.2 ∗ x^0.3) / x

Using exponent rules:

= x^(0.5 + 0.2 + 0.3) / x

= x^1 / x

= x / x

= 1

Explanation

To evaluate this expression, we need to follow the order of operations (PEMDAS):

• Divide 28 by 7: 28 ÷ 7 = 4
• Multiply 4 by 2: 4 × 2 = 8
• Add 9 to 8: 9 + 8 = 17

So, the correct answer is: 17

Explanation

35 ÷ 7 = 5.

35 divided by 7 equals 5, with no remainder.

Explanation

2 is an even number.

As it is divisible by 2 without leaving a remainder.

Unlike 9, 7, and 3, which are odd numbers.

Explanation

The set of nth roots of unity, denoted by {ω₀, ω₁, ..., ωₙ₋₁}, forms a group under the operation of multiplication.

Explanation

• 997 is a prime number, while 996, 998, and 999 are not.
  • 996 is divisible by 2, 3, 6, 12, ..., and is therefore not prime.
  • 998 is divisible by 2, 7, 14, ..., and is therefore not prime.
  • 999 is divisible by 3, 9, 27, ..., and is therefore not prime.

• So, the greatest 3-digit prime is 997.