Explanation

30% = 30/100 = 0.3

Explanation

The set {0, ±1, ±2, ±3, ±4, ...} includes all positive, negative integers, and zero.

This set is called the set of integers.

Explanation

The multiplicative identity is the number which, when multiplied by any rational number, leaves it unchanged.

For rational numbers, that number is 1 because a × 1 = a.

Explanation

3/8 of 40 = (3/8) × 40 = 120/8 = 15

Explanation

Let's calculate the total work hours:

195 men * 10 hours/day * 20 days = 39,000 man-hours

To finish the job in 15 days working 13 hours/day:

Let x be the number of men needed:

x men * 13 hours/day * 15 days = 39,000 man-hours

195 * 10 * 20 = x * 13 * 15

39,000 = 195x

x = 39,000 / 195

x = 200

The number of men is 200.

Explanation

Perimeter = AB + BC + AC = 4 + 5 + 3 = 12 cm.

Explanation

The multiplicative inverse of a number is the number that, when multiplied by the original number, gives a product of 1.

The multiplicative inverse of 0 does not exist, because:

0 × x = 0 ≠ 1

for any real number x.

The correct answer is: 0

Explanation

The type of partial fractions you get depends on how the denominator factors (e.g., linear or quadratic factors).

The numerator is adjusted based on the denominator’s factors, but the process primarily depends on the denominator.

Explanation

To simplify the expression, follow the rules of exponents:

(x⁴)³ = x^(4×3) = x¹²

Now, divide x¹² by x⁻⁴:

x¹² ÷ x⁻⁴ = x¹² × x⁴ (since dividing by x⁻⁴ is the same as multiplying by x⁴)

= x^(12+4)

= x¹⁶

Explanation

The expression 2x² + 3x + 2 has three separate terms: 2x², 3x, and 2.

Terms are separated by plus or minus signs.