Explanation

• Sum of two numbers: $-3 + (-5) = -8$
  

• Product: $(-3) times (-5) = +15$
  

Let’s now write an algebraic expression where the sum is $-8$and the product is $+15$.

This is a quadratic expression of the form:

$$x^2 + 8x + 15$$

Explanation

$$(44x+35y)+(34x-25y)$$

$$=(44x+34x)+(35y-25y)$$

$$=78x+10y$$

Explanation

The common difference is $-3$, so the sequence becomes:
$18, 15, 12, 9, 6, 3$
The 3rd mean is the 4th term: 9.

Explanation

Step 1: Multiply the coefficients

$$-5\times 10=-50$$

Step 2: Multiply the variables

• $x cdot x = x^2$
  

• $y cdot y = y^2$
  

• $z cdot 1 = z$
  

• $a$ appears once

• $b$ appears once

Step 3: Combine all parts

$$-50abx^2y^2z$$

Explanation

The first 6 odd numbers are:

$$1,3,5,7,9,11$$

Now calculate their sum:

$$1 + 3 + 5 + 7 + 9 + 11 = 36$$

Now divide by 6 (the number of terms):

$$text{A.M.} = frac{36}{6} = 6$$

Explanation

To find the greatest number among the fractions 34, 3.5, 3.2, let's compare their decimal equivalents:

3/4​=0.75

3/5 = 0.6 

3/2 =1.5

3/2 =1.5  is the greatest.

Explanation

The United States and Vietnam established a "Comprehensive Strategic Partnership" in 2023

The USA and Vietnam have a long history, including a Bilateral Trade Agreement (BTA) and a Comprehensive Strategic Partnership.

The BTA, signed in 2000 and implemented in 2001

Explanation

This type of agreement is typically part of peace-building and conflict resolution efforts coordinated by the United Nations, especially considering Yemen's ongoing humanitarian and security crisis.

Explanation

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The most pressing issue is poor GDP growth

Australia faces multifaceted challenges, including declining productivity, structural budget issues, and external economic pressures.

Explanation

Poland has received significant amounts of funding from the European Union.

These funds are often for managing various aspects of the country's affairs

Other European countries like Italy and France also receive EU funds,

But Poland is often highlighted as a major recipient