True or False:

Primary emotions are learned.
(1 point)
Responses

true
true

false

false

Students often pick on Tito, but he says that this behavior is a sign that the other students like him. What defense mechanism is Tito displaying?

(1 point)
Responses

regression
regression

denial
denial

compensation
compensation

rationalization

True or False:

You feel anger not only mentally and emotionally, but also physically.
(1 point)
Responses

true
true

false

true

Which of the following defense mechanisms is Marissa using when she says “So what if I broke her stupid toy? She’s always bothering me when I want to play video games and no one should have to put up with that all the time.”

(1 point)
Responses

compensation
compensation

denial
denial

reaction formation
reaction formation

projection

projection

What is NOT a healthy way to deal with anger?

(1 point)
Responses

Run around the block a few times.
Run around the block a few times.

Yell at the person who made you angry.
Yell at the person who made you angry.

Accept your feelings.
Accept your feelings.

Remember what made you angry this time so you can avoid it in the future.

Yell at the person who made you angry.

Use the paragraph to answer the question.

The platypus is an Australian mammal that does not fall neatly into a classification. It is one of only two mammals (the other being the echidna) that bear young by laying eggs. In some respects, the platypus resembles a duck; both have webbed feet and bills. The platypus has a tail like a beaver’s and a furry body similar to an otter’s. Its unusual hybrid of body parts makes it well-suited for its largely aquatic life. The platypus uses its webbed feet to paddle through water, and its tail serves as a kind of rudder for steering. While underwater, the platypus uses its bill to scoop up bits of food, such as insects and shellfish, from the water’s bottom. The platypus also scoops up bits of gravel, which grind up the food, as the platypus is toothless. The platypus stores the food and gravel in its cheeks until it reaches the water’s surface. Once the platypus surfaces, it consumes its meal.

Which idea from the paragraph is important to include in a summary?

(1 point)
Responses

The platypus collects food such as insects and shellfish.
The platypus collects food such as insects and shellfish.

The platypus is a fascinating animal.
The platypus is a fascinating animal.

The platypus paddles through water.
The platypus paddles through water.

The platypus is a rare type of mammal that bears its young by laying eggs.
The platypus is a rare type of mammal that bears its young by laying eggs.
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The platypus is a rare type of mammal that bears its young by laying eggs.

Summarizing Quick Check

3 of 43 of 4 Items

Question
What should summaries always include?(1 point)
Responses

important details and interesting details
important details and interesting details

important details and the writer's opinions
important details and the writer's opinions

main idea and writer's thoughts and feelings
main idea and writer's thoughts and feelings

main idea and important details

main idea and important details

Use the paragraph to answer the question.

While the invention of the steamboat is often attributed to American inventor Robert Fulton, credit should really go to John Fitch. Fitch built four steamboats in the late eighteenth century. These boats traveled successfully on lakes and rivers and proved that steam could be used to propel boats. Fitch’s boats included more traditional elements as well, such as paddle wheels and screw propellers. By blending tried and true methods of propulsion with new technology, Fitch created functioning steamboats. He forfeited his place in American memory due not to any mechanical failings, but to financial ones. His production and operating costs were too high to make steam travel economically feasible. As a result, many people have forgotten his role in the invention of the steamboat. It wasn’t until after his death that Robert Fulton created a commercially successful steamboat and became known as “the father of steam navigation.”

Which of the following sentences should be included in a summary of the text?

(1 point)
Responses

I think that it would be fun to ride on a steamboat someday.
I think that it would be fun to ride on a steamboat someday.

Fitch's boats cost too much to make.
Fitch's boats cost too much to make.

It wasn’t until after his death that Robert Fulton created a commercially successful steamboat and became known as “the father of steam navigation.”
It wasn’t until after his death that Robert Fulton created a commercially successful steamboat and became known as “the father of steam navigation.”

John Fitch combined old methods of constructing boats with new technology to create the first steamboats.
John Fitch combined old methods of constructing boats with new technology to create the first steamboats.
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John Fitch combined old methods of constructing boats with new technology to create the first steamboats.

5.5¯¯¯ as a rational number.

5.5 as a rational number is 11/2.

Four people have found the distance in kilometers across a small bridge using different methods.

Their results are given in the table. Order the distances from least to greatest.

(1 point)
Responses

5 1/2, 28−−√, 5.5¯¯¯, 23/4
5 1/2, 28−−√, 5.5¯¯¯, 23/4

28−−√, 5 1/2, 5.5¯¯¯, 23/4
28−−√, 5 1/2, 5.5¯¯¯, 23/4

28−−√, 5.5¯¯¯, 23/4, 5 1/2
28−−√, 5.5¯¯¯, 23/4, 5 1/2

23/4 , 5.5¯¯¯, 28−−√, 5 1/2
23/4 , 5.5¯¯¯, 28−−√, 5 1/2

23/4 , 5.5¯¯¯, 28−−√, 5 1/2

could you break that down for me please

Sure! Let's break down the distances given in the table:

1. The first distance is 23/4, which is equivalent to 5 3/4 or 5.75.

2. The second distance is 5.5¯¯¯, which is the same as 5.5 or 5 1/2.

3. The third distance is 28−−√, which represents the square root of 28. Without knowing the exact value of the square root, we can say that it is approximately 5.29.

Therefore, the correct order from least to greatest distance is:

1. 23/4 or 5.75
2. 5.5¯¯¯ or 5.5
3. 28−−√ or approximately 5.29
4. 5 1/2 or 5.5

how is The second distance 5.5¯¯¯, the same as 5.5 or 5 1/2?

I apologize for the confusion. The second distance, 5.5¯¯¯, actually represents a repeating decimal which means it does not have an exact decimal or fraction equivalent. Therefore, it cannot be represented as 5.5 or 5 1/2.

In that case, the correct order from least to greatest distance would be:

1. 23/4 or 5.75
2. 28−−√ or approximately 5.29
3. 5.5¯¯¯

you were right, i just want you to break it down for me.

I apologize for the confusion in my previous response. Let's break down the second distance, 5.5¯¯¯, into decimal and fraction form:

5.5¯¯¯ represents a repeating decimal in which the digit 5 repeats indefinitely. To convert it to decimal form, you can represent it as 5.5555... or 5.5 with a bar above the 5 indicating that it repeats. However, this repeating decimal does not terminate or have a finite representation.

To convert it to fraction form, we can set it up as follows:

Let x = 5.5¯¯¯
Multiply both sides by 10 to move the decimal point:
10x = 55.5¯¯¯

Subtract the original equation from the second equation to eliminate the repeating decimal:
10x - x = 55.5¯¯¯ - 5.5¯¯¯
9x = 50

Divide both sides by 9:
x = 50/9

Therefore, the second distance, 5.5¯¯¯, can be represented as the fraction 50/9.

Now, let's rearrange the distances from least to greatest:

1. 23/4 or 5.75
2. 28−−√ or approximately 5.29
3. 50/9 or approximately 5.5555...

I apologize again for any confusion caused by the initial incorrect response.

The diagonal of a square equals 2–√

times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 70 feet on a side?(1 point)

To find the length from one corner to an opposite corner of a square park, we need to calculate the diagonal of the square.

Given that the diagonal equals 2–√ times the side length, and we are given the side length as 70 feet, we can substitute these values into the formula.

Diagonal = (2–√) * Side length

Diagonal = (2 * 1.4) * 70

Diagonal = 2.8 * 70

Diagonal ≈ 196 feet

Therefore, the approximate length from one corner to an opposite corner of the square park is 196 feet.

Using a number line, what whole number and rational number to the nearest half is 30−−√

between?(1 point)

To determine the whole number and rational number to the nearest half that 30−−√ is between, we can approximate the value of 30−−√.

Using a calculator, we find that 30−−√ is approximately 5.48.

To the nearest half, 5.48 is between 5 and 5.5.

Therefore, the whole number and rational number to the nearest half that 30−−√ is between is 5 and 5.5.

Using a number line, what whole number and rational number to the nearest half is 68−−√

between?

To find the whole number and rational number to the nearest half that 68−−√ is between, we can estimate its value using a number line.

To begin, we can find the whole number that is closest to 68−−√. Since the square root of 68 falls between 8 and 9, we can say that the whole number part of 68−−√ is 8.

Next, we can determine the nearest half by looking at the decimal portion of 68−−√. Let's calculate the exact value:

68−−√ ≈ 8.24621125

The decimal value falls between 8 and 8.5, but it is closer to 8.5.

In summary, the whole number and rational number to the nearest half that 68−−√ is between are 8 and 8.5.

Convert 0.09¯¯¯¯¯

to a rational number in simplest form.

To convert the repeating decimal 0.09¯¯¯¯¯ to a rational number in simplest form, we can set it up as follows:

Let x = 0.09¯¯¯¯¯

Multiply both sides of the equation by 1000 (because there are three repeating digits):

1000x = 90.09¯¯¯¯¯

Subtracting the original equation from the new equation, we get:

1000x - x = 90.09¯¯¯¯¯ - 0.09¯¯¯¯¯

999x = 90

Dividing both sides by 999:

x = 90/999

We can further simplify this fraction by finding the greatest common divisor (GCD) of 90 and 999, which is 9:

x = (90/9) / (999/9)

x = 10/111

Therefore, the rational number in simplest form that is equivalent to 0.09¯¯¯¯¯ is 10/111.

but there are only two repeating digits.

I apologize for the mistake in my previous response. You are correct that there are only two repeating digits in the original number 0.09¯¯¯¯¯.

To convert 0.09¯¯¯¯¯ to a rational number in simplest form, we can set it up as follows:

Let x = 0.09¯¯¯¯¯

Multiplying both sides of the equation by 100 (because there are two repeating digits):

100x = 9.09¯¯¯¯¯

Subtracting the original equation from the new equation, we get:

100x - x = 9.09¯¯¯¯¯ - 0.09¯¯¯¯¯

99x = 9

Dividing both sides by 99:

x = 9/99

We can further simplify this fraction by finding the greatest common divisor (GCD) of 9 and 99, which is 9:

x = (9/9) / (99/9)

x = 1/11

Therefore, the rational number in simplest form that is equivalent to 0.09¯¯¯¯¯ is 1/11.

Convert 0.7¯¯¯

to a fraction.

To convert the repeating decimal 0.7¯¯¯ to a fraction, we can set it up as follows:

Let x = 0.7¯¯¯

Multiplying both sides of the equation by 10 (because there is one repeating digit):

10x = 7.7¯¯¯

Subtracting the original equation from the new equation, we get:

10x - x = 7.7¯¯¯ - 0.7¯¯¯

9x = 7

Dividing both sides by 9:

x = 7/9

Therefore, the fraction equivalent of 0.7¯¯¯ is 7/9.

Which of the following is an irrational number between 4 and 8?(1 point)

Responses

12−−√
square root of 12

17−−√
square root of 17

8–√
square root of 8

5–√

The correct irrational number between 4 and 8 is the square root of 5, written as √5.

Therefore, the correct response is: 5–√

explain that please

To determine the irrational number between 4 and 8, we need to consider the square root of numbers within that range. Recall that an irrational number is a number that cannot be expressed as a ratio of two integers, and the square root of a non-perfect square number is typically an irrational number.

Considering the given options:

1. The square root of 12 is not between 4 and 8. Approximately, it is about 3.464.

2. The square root of 17 is also not between 4 and 8. Approximately, it is about 4.123.

3. The square root of 8 is not between 4 and 8 either. Approximately, it is about 2.828.

However, the square root of 5, which is approximately 2.236, does fall between 4 and 8.

Hence, the correct irrational number between 4 and 8 is the square root of 5, represented as 5–√.

4.1 is between 4 and 8

You are correct, and I apologize for the oversight in my previous response. 4.1 is indeed a number between 4 and 8.

However, in the given options, all the choices represent square roots and none of them are equal to 4.1. Therefore, none of the options provided in the given responses are the correct answer.

17√ is between 4 and 8

I apologize for the confusion caused by the previous response. You are correct. 17√ is a valid irrational number between 4 and 8.

Thank you for pointing out the error.

Which type of connection shows how ideas are similar or different?(1 point)

Responses

problem and solution
problem and solution

chronological order
chronological order

comparison and contrast
comparison and contrast

cause and effect

comparison and contrast

Analyzing Connections Quick Check

2 of 42 of 4 Items
Question
Use the sentence to answer the question.

Like real coral reefs, artificial reefs create homes for marine life.

Which two things are compared in this sentence?

(1 point)
Responses

homes and artificial marine life
homes and artificial marine life

real coral reefs and artificial reefs
real coral reefs and artificial reefs

artificial reefs and homes
artificial reefs and homes

real coral reefs and marine life

real coral reefs and artificial reefs

Analyzing Connections Quick Check

3 of 43 of 4 Items

Question
Use the sentences to answer the question.

Large waves cause erosion of shorelines. Seawalls constructed of concrete can protect shorelines from this erosion.

Which type of connection is made between the ideas in these sentences?

(1 point)
Responses

problem and solution
problem and solution

cause and effect
cause and effect

description
description

contrast

cause and effect

Analyzing Connections Quick Check

4 of 44 of 4 Items

Question
Use the sentence to answer the question.

Although his younger students greeted the new practice with enthusiasm, the “old guard” had staked their reputations on the belief in miasmas.

Which type of connection does the author make between the ideas in this sentence?

(1 point)
Responses

comparison
comparison

cause and effect
cause and effect

problem and solution
problem and solution

contrast

rationalization