Question

# Complete the following sentence with a co-ordinating conjunction.

Would you rather have cheese _______bologna on your sandwich?

- For
- Nor
- Or
- So

## The correct answer is: Or

### Explanation-Co-ordinating conjunctions co-ordinate or join two or more sentences, main clauses, words or other parts of speech which are of same syntactic importance. Among the given options ‘OR’ is the co-ordinating conjunction that is joining the two sentences. Hence opt c is the correct answer.

### Related Questions to study

### Identify synonym for the word ‘reflexive’.

### Identify synonym for the word ‘reflexive’.

### Which of the following words is an example of three letter consonant blend.

### Which of the following words is an example of three letter consonant blend.

### Identify synonym for the word ‘drawing out’.

### Identify synonym for the word ‘drawing out’.

### Choose the word from the following that starts with “Un”.

### Choose the word from the following that starts with “Un”.

### Identify the adjective that starts with letter ’I’ among the following.

### Identify the adjective that starts with letter ’I’ among the following.

### Identify the word that starts with ‘I’

### Identify the word that starts with ‘I’

### Identify antonym for the word ‘dismantle’.

### Identify antonym for the word ‘dismantle’.

### Identify singular noun among the following

### Identify singular noun among the following

### Select the most appropriate synonym of the given word ASSERTION

### Select the most appropriate synonym of the given word ASSERTION

### Select the most appropriate synonym of the given word ASSERTION

### Select the most appropriate synonym of the given word ASSERTION

### Prove that is an irrational number.

Step 1 of 2:

If is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.

SO,

Squaring both sides

...... (1)

This means can be divided by 5

Step 2 of 2:

So if can be divided by 5, then can also be divided by 5

So, let’s say

Squaring both sides

Putting the value of in equation (1)

So, this means q² is divisible by 5 and so q is also divisible by 5.

Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that is a rational number. So, we conclude that is an irrational number.

### Prove that is an irrational number.

Step 1 of 2:

If is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.

SO,

Squaring both sides

...... (1)

This means can be divided by 5

Step 2 of 2:

So if can be divided by 5, then can also be divided by 5

So, let’s say

Squaring both sides

Putting the value of in equation (1)

So, this means q² is divisible by 5 and so q is also divisible by 5.

Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that is a rational number. So, we conclude that is an irrational number.

### Prove that is an irrational number.

The real numbers which cannot be expressed in the form of p/q(where p and q are integers and q ≠ 0) are known as irrational numbers. In the given question we are asked to prove if is irrational number. To do so we use the method of contradiction.

Solution

Let's assume that is a rational number.

Step 1 of 2:

If is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.

So,

q = p

Squaring both sides,

5q^{2 }= p^{2}

q^{2}=

This means p^{2} can be divided by 5

Step 2 of 2:

So if p^{2} can be divided by 5, then p can also be divided by 5

So, let’s say

p=5r

Squaring both sides

Putting the value of p^{2} in eq-1

So, this means q² is divisible by 5 and so q is also divisible by 5.

Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that is a rational number. So, we conclude that is an irrational number.

### Prove that is an irrational number.

The real numbers which cannot be expressed in the form of p/q(where p and q are integers and q ≠ 0) are known as irrational numbers. In the given question we are asked to prove if is irrational number. To do so we use the method of contradiction.

Solution

Let's assume that is a rational number.

Step 1 of 2:

If is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.

So,

q = p

Squaring both sides,

5q^{2 }= p^{2}

q^{2}=

This means p^{2} can be divided by 5

Step 2 of 2:

So if p^{2} can be divided by 5, then p can also be divided by 5

So, let’s say

p=5r

Squaring both sides

Putting the value of p^{2} in eq-1

So, this means q² is divisible by 5 and so q is also divisible by 5.

Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that is a rational number. So, we conclude that is an irrational number.

### State if 0.24758326…. is a rational number or irrational number with a suitable explanation.

Step 1 of 2:

In this step, we will check if the given is non-terminating or not and if the number is not non-terminating then it is a rational number. As the given number 0.24758326…. is non-terminating so let's proceed to our next step.

Step 2 of 2:

In this step, we will check if the given is non-repeating or not and if the number is not non-repeating then it is a rational number. An example of a repeating number is 0.333333…… So, the given number 0.24758326…. is non-repeating.

Final Answer:

As the given number 0.24758326…. is non-repeating and non-terminating. Hence, 0.24758326…. is an irrational number.

### State if 0.24758326…. is a rational number or irrational number with a suitable explanation.

Step 1 of 2:

In this step, we will check if the given is non-terminating or not and if the number is not non-terminating then it is a rational number. As the given number 0.24758326…. is non-terminating so let's proceed to our next step.

Step 2 of 2:

In this step, we will check if the given is non-repeating or not and if the number is not non-repeating then it is a rational number. An example of a repeating number is 0.333333…… So, the given number 0.24758326…. is non-repeating.

Final Answer:

As the given number 0.24758326…. is non-repeating and non-terminating. Hence, 0.24758326…. is an irrational number.

### Prove that is an irrational number.

The real numbers which cannot be expressed in the form of p/q(where p and q are integers and q ≠ 0) are known as irrational numbers. In the given question we are asked to prove if is irrational number. To do so we use the method of contradiction.

Solution

Let's assume that is a rational number.

Step 1 of 2:

If is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.

So,

q = p

Squaring both sides,

5q^{2 }= p^{2}

q^{2}=

This means p^{2} can be divided by 5

Step 2 of 2:

So if p^{2} can be divided by 5, then p can also be divided by 5

So, let’s say

p=5r

Squaring both sides

Putting the value of p^{2} in eq-1

So, this means q² is divisible by 5 and so q is also divisible by 5.

Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that is a rational number. So, we conclude that is an irrational number.

### Prove that is an irrational number.

The real numbers which cannot be expressed in the form of p/q(where p and q are integers and q ≠ 0) are known as irrational numbers. In the given question we are asked to prove if is irrational number. To do so we use the method of contradiction.

Solution

Let's assume that is a rational number.

Step 1 of 2:

If is rational, that means it can be written in the form of p/q, where p and q integers that have no common factor other than 1 i.e. they are coprime than 1 and q ≠ 0.

So,

q = p

Squaring both sides,

5q^{2 }= p^{2}

^{2}=

This means p^{2} can be divided by 5

Step 2 of 2:

So if p^{2} can be divided by 5, then p can also be divided by 5

So, let’s say

p=5r

Squaring both sides

Putting the value of p^{2} in eq-1

So, this means q² is divisible by 5 and so q is also divisible by 5.

Final Answer: p and q both are divisible 5 but we assumed that p and q are coprime and this contradiction has arisen because of our incorrect assumption that is a rational number. So, we conclude that is an irrational number.

The line in the xy-plane above represents the relationship between the height h(x), in feet, and the base diameter x , in feet, for cylindrical Doric columns in ancient Greek architecture. How much greater is the height of a Doric column that has a base diameter of 5 feet than the height of a Doric column that has a base diameter of 2 feet?

- We have given a graph that relates the height of the cylinder with the diameter of the base.
- We have to find the difference between the height of the cylinder when the diameter is 2 feet and 5 feet
- First, we will check the height of the cylinder at both given base diameters using the graph. And then we will find the height difference.
- Step 1 of 1:

The given graph is - According to the graph, when the base diameter is 2 feet, the height is 14 feet
- And, when the diameter is 5 feet, the height is .35 feet
- So, The difference between the height is
- =35-14
- =21 feet
- Hence, Option C is correct.

The line in the xy-plane above represents the relationship between the height h(x), in feet, and the base diameter x , in feet, for cylindrical Doric columns in ancient Greek architecture. How much greater is the height of a Doric column that has a base diameter of 5 feet than the height of a Doric column that has a base diameter of 2 feet?

- We have given a graph that relates the height of the cylinder with the diameter of the base.
- We have to find the difference between the height of the cylinder when the diameter is 2 feet and 5 feet
- First, we will check the height of the cylinder at both given base diameters using the graph. And then we will find the height difference.
- Step 1 of 1:

The given graph is - According to the graph, when the base diameter is 2 feet, the height is 14 feet
- And, when the diameter is 5 feet, the height is .35 feet
- So, The difference between the height is
- =35-14
- =21 feet
- Hence, Option C is correct.