Which sentence includes a gerund?(1 point)

Question

Responses

Nash has been swimming since he was five years old.
Nash has been swimming since he was five years old.

Graham learned to dive at the community swimming pool.
Graham learned to dive at the community swimming pool.

Swimming in the gulf is Finn's favorite summer activity.
Swimming in the gulf is Finn's favorite summer activity.

While swimming at the beach, Harper found a starfish.
While swimming at the beach, Harper found a starfish.

Answer 1

All of the sentences you provided include gerunds, which are verb forms that end in -ing and function as nouns. However, if you're looking for one with an explicit gerund used as the subject or subject complement, the best choice is:

"Swimming in the gulf is Finn's favorite summer activity."

In this sentence, "Swimming" is a gerund acting as the subject of the sentence.

Answer 2

Use the sentence to answer the question

Traveling offers the opportunity to meet new people and experience exciting cultures.

How is the gerund functioning?

(1 point)
Responses

It is the subject of the sentence.
It is the subject of the sentence.

It receives the action of the verb.
It receives the action of the verb.

It modifies a noun in the sentence.
It modifies a noun in the sentence.

It describes the action of the subject.

Answer 3

In the sentence "Traveling offers the opportunity to meet new people and experience exciting cultures," the gerund "Traveling" is functioning as the subject of the sentence.

So the correct response is:

It is the subject of the sentence.

Answer 4

Which sentence includes a gerund?(1 point)
Responses

The runners are lacing up their shoes.
The runners are lacing up their shoes.

A healthy breakfast of steaming hot biscuits is served.
A healthy breakfast of steaming hot biscuits is served.

My family is impressed by my cooking.
My family is impressed by my cooking.

I am running a marathon this weekend.

Answer 5

In the sentences provided, the one that includes a gerund is:

My family is impressed by my cooking.

In this sentence, "cooking" is a gerund functioning as a noun, specifically as the object of the preposition "by."

Answer 6

Which of the following is an equivalent expression to 59⋅5−13 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses

595−13
Start Fraction 5 superscript 9 baseline over 5 superscript negative 13 baseline End Fraction

1522
Start Fraction 1 over 5 superscript 22 baseline end fraction

154
Start Fraction 1 over 5 superscript 4 baseline end fraction

54

Answer 7

To simplify the expression \( 59 \cdot 5^{-13} \) using the Properties of Integer Exponents, we can combine the terms.

1. Combine the exponents: According to the property \( a^m \cdot a^n = a^{m+n} \), we can express \( 59 \cdot 5^{-13} \) as: \[ 5^{9 + (-13)} = 5^{9 - 13} = 5^{-4} \]

2. Convert to positive exponent: To express \( 5^{-4} \) with a positive exponent, we use the property \( a^{-m} = \frac{1}{a^m} \): \[ 5^{-4} = \frac{1}{5^4} \]

Now, we can compare this result to the answer choices:

• \( 5^{9} \cdot 5^{-13} \) simplifies to \( \frac{1}{5^4} \).

Thus, the equivalent expression with only positive exponents is:

\( \frac{1}{5^{4}} \).

Answer 8

Which property of exponents was used to generate the equivalent expression 314 from 353−9 ?(1 point)
Responses

only the Product Rule of Exponents
only the Product Rule of Exponents

the Property of Negative Exponents and the Product Rule of Exponents
the Property of Negative Exponents and the Product Rule of Exponents

only the Power Rule of Exponents
only the Power Rule of Exponents

only the Property of Negative Exponents

Answer 9

To understand how \( 35^3 \cdot 5^{-9} \) simplifies to \( 3^{14} \), we first need to identify the properties of exponents involved.

1. Using the Product Rule:

   • The Product Rule states that \( a^m \times a^n = a^{m+n} \).
   • In this case, we can write \( 35^3 \cdot 5^{-9} \) as \( 5^{3} \cdot 5^{-9} \).

2. Using the Property of Negative Exponents:

   • The Property of Negative Exponents states that \( a^{-m} = \frac{1}{a^m} \).
   • So, \( 5^{-9} \) can be rewritten as \( \frac{1}{5^9} \).

Combining both steps, we see: \[ 5^{3} \cdot 5^{-9} = 5^{3 + (-9)} = 5^{-6} \] And rewriting \( 5^{-6} \) using the negative exponent property gives us \( \frac{1}{5^6} \).

Thus, the correct response is:

the Property of Negative Exponents and the Product Rule of Exponents.

Answer 10

Which of the following is an equivalent expression to 150 ⋅ 7−2 (−4)−3 with only positive exponents that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses

172 ⋅ (−4)−3
Start Fraction 1 over 7 squared times left parenthesis negative 4 right parenthesis superscript negative 3 baseline End Fraction

72(−4)3
Start Fraction 7 squared over left parenthesis negative 4 right parenthesis cubed end fraction

(−4)372
start fraction left parenthesis negative 4 right parenthesis cubed over 7 squared end fraction

4372

Answer 11

To simplify the expression \( 150 \cdot 7^{-2} \cdot (-4)^{-3} \) using the Properties of Integer Exponents, we can break it down step by step.

1. Rewrite the components: \[ 150 = 1 \cdot 50 \quad (\text{but it seems like a multiplier, let’s disregard it for simplicity since it’s not clear where this number fits. Often interpreted simply as a typo.}) \] The key expression we want to simplify is: \[ 7^{-2} \cdot (-4)^{-3} \]

2. Use the Property of Negative Exponents:

   • The Property of Negative Exponents states that \( a^{-m} = \frac{1}{a^m} \).
   • So we can write: \[ 7^{-2} = \frac{1}{7^{2}} \quad \text{and} \quad (-4)^{-3} = \frac{1}{(-4)^{3}} \]

3. Combine the expressions: Thus, \[ 7^{-2} \cdot (-4)^{-3} = \frac{1}{7^{2}} \cdot \frac{1}{(-4)^{3}} = \frac{1}{7^{2} \cdot (-4)^{3}} \]

Now, let’s examine the choices given:

1. Option 1: \( \frac{1}{7^{2} \cdot (-4)^{-3}} \) - This has a negative exponent in the denominator, this is equivalent before simplification.

2. Option 2: \( 7^{2} \cdot (-4)^{3} \) - This has positive exponents but is incorrect representation based on the original expression.

3. Option 3: \( \frac{(-4)^{3}}{7^{2}} \) - This is a valid rearrangement of terms but incorrect in representational exp.

4. Option 4: \( 4^{3} 7^{2} \) - This expression is also incorrect representation based on the original expression.

Thus the correct equivalent expression with only positive exponents is:

Option 1: \( \frac{1}{7^{2} \cdot (-4)^{3}} \)