Explanation

Explanation

Given the information that the sum of two numbers is 35 and one number is 8 more than the other, we can set up a system of equations to solve for the numbers.

Let's denote the two numbers as  and , where:

 = one of the numbers

 = the other number

Given:

1. The sum of the two numbers is 35: 

x + y = 35

2. One number is 8 more than the other: 

x = y + 8

Substitute the value of  from the second equation into the first equation:

y + y + 8 = 35

2y + 8 = 35 

2y + 8 = 35 

2y = 27 

y = 13.5

Now, substitute the value of y back into:

x = y +8 

x = 13.5 + 8 

x = 21.5

Explanation

To find the value of x  in the equation ( 3x + 7 = 22 ), we need to isolate ( x ).

Here are the steps:

1. Subtract 7 from both sides of the equation to get rid of the constant term on the left side:

[ 3x + 7 - 7 = 22 - 7 ]

[ 3x = 15 ]

2. Divide both sides by 3 to solve for ( x ):

[ frac{3x}{3} = frac{15}{3} ]

[ x = 5]

So, the value of  ( x ) is ( 5).

Explanation

In "Goodbye, Mr. Chips" by James Hilton, Chips saw the great exhibition as a toddling child wobbling.

Explanation

The current produced in a coil due to electromagnetic induction is called an induced current.

The induced current can be positive or negative depending on the direction of the change in magnetic flux and the orientation of the coil

However, the term "induced current" is used to refer to the current that flows

As a result of electromagnetic induction, regardless of its direction being positive or negative

Explanation

A confidence level of 95% corresponds to a significance level of 0.05.

The significance level, often denoted by alpha (α), is the probability of rejecting the null hypothesis when it is true.

 It is the complement of the confidence level.

 Therefore, if the confidence level is 95%, the significance level would be

1- 0.95 = 0.05

Explanation

The theme of the poem "Ozymandias" by Percy Bysshe Shelley

Revolves around the idea of the transience of human achievements and the inevitable decline of power and empires.

The most fitting theme from your options would be "Death levels everything."

Explanation

Colligative properties are properties of solutions that depend on the number of solute particles in a given amount of solvent and not on the nature of the solute particles.

The four main colligative properties are:

• Vapor Pressure Lowering
• Boiling Point Elevation
• Freezing Point Depression
• Osmotic Pressure

Explanation

if the phase of vibration Θ = π/ z radians, and you are saying that a quarter of the cycle is completed

Then we can equate these two conditions to find the value of z.

In Simple Harmonic Motion (SHM), one complete cycle corresponds to 2π radians. Therefore, if  Θ = π/ z radian represented a quarter of the cycle, then we can write:

 Θ = π/ z = 1/ 4 x 2 π

simplifying 

  π/ z =  π/ 2

 Now, to find the value of z, we can cross-multiply

z = 2

So, when the phase of vibration Θ = π/ z radians and a quarter of the cycle is completed, the value of z is 2.

Explanation

God's Attributes is a short poem written by Jalaluddin Rumi,

a great Sufi poet, translated by Dr. Nicholson points out the wonderful , far-reaching and purifying impacts of the sacred names of Allah, Almighty, on the personalities and lives of human-beings.