Explanation

Original statement: p → q

Contrapositive:  ¬q → ¬p

Converse of contrapositive: Swap it → ¬p → ¬q

Explanation

Solution:

The ratio of two numbers is 

35:49

5:7

and the sum of two numbers is 

35+49=84

if if 5 subtracted from the sum of these two numbers

84-5=79

Explanation

Let's convert the binary numbers to decimal:

(1000)₂ = 1 × 2³ = 8

(0010)₂ = 0 × 2³ + 1 × 2¹ = 2

Now, multiply:

8 × 2 = 16

Explanation

A subset is a set whose elements are all contained within another set.

Given the set {b, c, d}, both {b} and {} (the empty set) are subsets of {b, c, d}.

Explanation

Explanation

To simplify the expression (3⁸ × 3⁹)¹⁰:

Step 1: Apply the rule of exponents for multiplication.

3⁸ × 3⁹ = 3⁸⁺⁹ = 3¹⁷

Step 2: Apply the power rule of exponents.

(3¹⁷)¹⁰ = 3¹⁷⁰

Explanation

The factorial of a number in mathematics is the product of all the positive numbers less than or equal to a number.

But there are no positive values less than zero, so the data set cannot be arranged, which counts as the possible combination of how data can be arranged (it cannot).

Thus, 0! = 1

Explanation

900 × 3 = 2700

Explanation

Solutions

Explanation

In a group (G, *), the binary operation * is defined in such a way that the result of combining any two elements is always an element in the group. Therefore, if a, b ∈ G, then a * b ∈ G.