Explanation

To find two consecutive even integers whose sum is 46, let's set up the equation:

Let the first integer be x. Then the next consecutive even integer is 

x+2.

The equation is:

x+(x+2)=46

Simplify and solve for 

2x+2=46

2x=44

x=22

So, the two consecutive even integers are 22 and 24.

Explanation

Torricelli's theorem is specifically used to find the velocity of efflux.

It states that the velocity of fluid flowing out of an opening (such as a small hole in a container) can be found using the equation:

v=  under root 2gh

where:

 𝑣 is the velocity of efflux,

𝑔  is the acceleration due to gravity (approximately 9.81 m/s²),

ℎ  is the height of the fluid above the opening.

This theorem is particularly useful in situations involving the flow of liquids through openings or nozzles.

Explanation

The recipe calls for 2 cups of sugar, but Sarah has only 1/2 cup.

To find out how much more sugar she needs, subtract the amount she has from the amount required:

2cups - 1/2 cup = 1/2 cups - 1/2 cup = 3/2 cups

So, Sarah needs 1 1/2 cups (or 3/2 cups) more sugar.

The correct answer is: 3/2 cup

Explanation

Explanation

The semi-digested food in a cockroach is temporarily stored in the crop.

The crop is an organ found in the digestive system of many insects, including cockroaches.

The crop allows insects to store food temporarily, which can be advantageous for survival in various environmental conditions.

Explanation

Given equation: 3x - 2y = 9

Substitute x = 5 into the equation:

3(5) - 2y = 9

15 - 2y = 9

Subtract 15 from both sides to isolate -2y:

-2y = 9 - 15

-2y = -6

Divide by -2 to solve for y:

y = -6 / -2

y = 3

Explanation

The best synonym for "FEW AND FAR BETWEEN" in the given sentence is sometimes.

few and far between   کم و بیش کے درمیان

sometimes کبهی کبهی

Explanation

The capacitance  𝐶 is defined as the charge  𝑄 stored per unit voltage  𝑉 

Mathematically, it's represented as:

𝐶 =𝑄/𝑉

So, 1 farad (F) is equal to 1 coulomb (C) per volt (V), but the equation doesn't imply that 

1C=1V.

Instead, it means that a capacitor has a capacitance of 1 farad if it can store 1 coulomb of charge when a voltage of 1 volt is applied across it.

Explanation

The synonym for the underlined word "HARMONY" would be Peace.

harmony  ہم آہنگی

peace امن

Explanation

The substitution of a hydrogen atom (−H) by a nitro group (−NO2) on a benzene ring is called nitration.

Nitration is typically carried out using concentrated nitric acid (HNO3) and sulfuric acid (H2SO4).

The sulfuric acid acts as a catalyst and generates the nitronium ion (NO2+), the electrophile that reacts with the benzene ring.

The overall reaction can be represented as:

C6H6 + HNO 3 → C 6H5NO2 +H2O

Here, benzene (C6H6) is converted to nitrobenzene (C6H5NO2).

This is a key reaction in organic chemistry, especially in the synthesis of various aromatic compounds.