Explanation

Explanation

Explanation

Step 1: Determine the truth value of p

p : 4 < 7 is True.

Step 2: Determine the truth value of q

q : 6 > 11 is False.

Step 3: Determine the truth value of p ∨ q

p ∨ q is True if at least one of p or q is True. Since p is True, p ∨ q is True.

Explanation

First we solve bracket:

= 7500 + 25

= 7525

Explanation

In a sequence, each individual number or element is called a term.

Terms can be identified by their position, such as the 1st term, 2nd term, etc.

Explanation

= 8 (11 - 2) - 5 (11 - 2)/3

= 8 (9) - 5 (9)/3

= 72 - 45/3

= 27/3

= 9

Explanation

Explanation

To express 0.8 as a fraction, it can be written as 8/10, which can also be simplified to 4/5.

This is the correct fractional representation of 0.8.

Explanation

A matrix is symmetric if it is equal to its transpose. That means:

$$A = A^T$$

For this 3×3 matrix:

$$A = begin{bmatrix} 5 & x & 3 \ x & 7 & 2 \ 3 & 2 & 9 \ end{bmatrix}$$

We compare element aij​ with $a_{ji}$ The (1,2) element is $x$, and the (2,1) element is also $x$, so they're already equal.
Now, look at element (1,3), which is 3, and element (3,1), which is also 3 — so they match.
Now check (2,3) = 2 and (3,2) = 2 — they also match.

So, the matrix is symmetric if and only if:

• $x=x$ (always true)

• All off-diagonal symmetric pairs match

Given that, the matrix is symmetric already, but if in the original problem the matrix looked like this:

$$begin{bmatrix} 5 & x & 3 \ 11 & 7 & 2 \ 3 & 2 & 9 \ end{bmatrix}$$

Then, to make it symmetric:

• The element at (1,2) must equal the element at (2,1)

• So: $$x=11
  

Explanation

30 ÷ 6 = 5.

30 divided by 6 equals 5, with no remainder.