Explanation

The odd one out is: final velocity = initial_velocity + (2 x acceleration x distance moved)

The other three equations are the standard equations of uniformly accelerated motion:

• 1. v = u + at (final velocity = initial velocity + acceleration x time)
• 2. s = ut + 0.5at² (distance moved = initial velocity x time + 0.5 x acceleration x time²)
• 3. v² = u² + 2as (final velocity² = initial velocity² + 2 x acceleration x distance moved)

Explanation

• The correct answer is: 6^C2

This is because:

• 5^C2 = 10
• 5^C1 = 5
• 10 + 5 = 15

And:

• 6^C2 = 15
• So, 5^C2 + 5^C1 = 6^C2.

Explanation

• Stoichiometry is a term derived from the Greek words "stoicheion" (element) and "metron" (measure).
• It refers to the study of the quantitative relationships between reactants and products in chemical reactions, and is a fundamental concept in chemistry.

Explanation

• The negation of a given number is a unary operation, as it takes only one operand (the number itself) and returns its negative value.
• Unary operations are operations that take only one argument or input, unlike binary operations, which take two arguments or inputs.
• In this case, the negation operation (-) takes a single number as input and returns its negative value, making it a unary operation.

Explanation

• In the simplex method, the slack, surplus, and artificial variables are restricted to be non-negative.
• This means that their values must be greater than or equal to zero.

Explanation

Explanation

• Prokaryotic cell membranes, such as those found in bacteria, are composed of a thin layer of phospholipids, primarily phosphatidylethanolamine and phosphatidylglycerol, and embedded proteins.
• The phospholipid bilayer forms a semi-permeable membrane that regulates the entry and exit of materials, while the proteins perform various functions such as transport, enzymatic activity, and cell signaling.

Explanation

• The statement that is wrong is: Mycobacterium tuberculosis stains blue because of the thick lipid layer.
• Mycobacterium tuberculosis actually stains red or pink, not blue, due to its unique cell wall composition, which includes a waxy substance called mycolic acid. This makes it resistant to the Gram stain and causes it to appear red or pink.

The other statements are correct:

• Streptococcus pyogenes stains blue because of its thick peptidoglycan layer, which retains the crystal violet dye.
• Escherichia coli stains pink because of its thin peptidoglycan layer, which allows the safranin counterstain to dominate.
• Mycoplasma pneumoniae is not visible in the Gram stain because it lacks a cell wall, making it unable to retain the dyes.

Explanation

• A periscope requires a prism that can reflect light by 90 degrees, allowing the user to see around obstacles or over walls.
• An isosceles right-angled prism, also known as a 45-degree prism, is ideal for this purpose.
• It has two equal sides and a 90-degree angle between them, which allows for total internal reflection and a clear image.

Explanation

"Burn the candle at both ends" means دولت ضائع کرنا 

For example: Young people like to enjoy life and they often burn the candle at both ends.