Explanation

• Donald Trump described the US operation in Venezuela in 2025–26 as a modern update of the Monroe Doctrine.

Additional information:

• The Monroe Doctrine was first articulated in 1823.
• It was by President James Monroe to oppose European interference in the Western Hemisphere.

Last verified on 10-02-2026

Explanation

Begum Khaleda Zia

• Bangladeshi politician; leader of Bangladesh Nationalist Party (BNP)
• Prime Minister: 1991–1996, 2001–2006
• First female PM of Bangladesh
• Second female PM in Muslim world (after Benazir Bhutto)
• Born: 15 August 1945
• Died: 30 December 2025
• Age: 80 years

Last verified on 10-02-2026

Explanation

• Total IMF deal: $7 billion
• First disbursement: $1 billion
• Program length: 37 months
• Type: Extended Fund Facility (EFF)
• Year approved: 2024

Last verified on 10-02-2026

Explanation

y - 3x ≥ 5

A. (3, 8): 8 - 3(3) = 8 - 9 = -1 < 5

B. (1, 10): 10 - 3(1) = 7 ≥ 5 TRUE

C. (2, 1): 1 - 3(2) = -5 < 5

= (1, 10)

Last verified on 10-02-2026

Explanation

f(x) = x³ - 6x² + 11x - 6 = 0

Try simple values:

f(1) = 1 - 6 + 11 - 6 = 0

=> x = 1 is a root

Last verified on 10-02-2026

Explanation

Length = 12 km, Width = 5 km

Diagonal² = Length² + Width²

= 12² + 5²

= 144 + 25

= 169

Diagonal = √169 = 13 km

Last verified on 10-02-2026

Explanation

4 workers take 9 hours

=> Total work = 4 × 9 = 36 worker-hours

6 workers => time = Total work / workers

= 36 / 6

= 6 hours

Last verified on 10-02-2026

Explanation

A(3, 10) B(3, 2)

Distance = √[(x2-x1)² + (y2-y1)²]

= √[(3-3)² + (2-10)²]

= √[0 + (-8)²]

= √64

= 8

Last verified on 10-02-2026

Explanation

Area = x³ - 7x² + kx - 8

Length = x - 2

Width = Area / Length

(x-2) is a factor, so remainder = 0 when x = 2

=> 2³ - 7(2)² + k(2) - 8 = 0

=> 8 - 28 + 2k - 8 = 0

=> 2k = 28

=> k = 14

Last verified on 10-02-2026

Explanation

156 Yen = 1 USD

23,400 Yen = 23,400 / 156 USD

= 150 USD

Last verified on 10-02-2026