Which of the following describes collaboration?(1 point)
Responses
taking notes
taking notes
researching an idea
researching an idea
using technology
using technology
working with others
working with others
What is the best way to support a statement made in a discussion?(1 point)
Responses
asking a question
asking a question
offering a personal opinion
offering a personal opinion
providing evidence from research
providing evidence from research
changing the subject
providing evidence from research
In a discussion with her parents, Rylie states that getting a new computer will help her do better in school. Which piece of evidence best supports her statement?(1 point)
Responses
Rylie found a computer with features her dad would like.
Rylie found a computer with features her dad would like.
All of Rylie's friends have newer computers than her.
All of Rylie's friends have newer computers than her.
Rylie's mom wants to learn how to build websites.
Rylie's mom wants to learn how to build websites.
A faster computer will help Rylie complete her homework.
A faster computer will help Rylie complete her homework.
The circumference of a circle equals pi times the diameter. Using 3.14 to approximate pi, what is the approximate circumference in inches of a circle with a diameter of 12 in.?
The approximate circumference of a circle with a diameter of 12 inches can be calculated using the formula:
Circumference = π x Diameter
Using the approximation of π as 3.14, we can substitute the values:
Circumference ≈ 3.14 x 12 in.
Circumference ≈ 37.68 inches
The circumference of a circle equals pi times the diameter. Using 3.14 to approximate pi, what is the approximate circumference in inches of a circle with a diameter of 1/2 in.?
The approximate circumference of a circle can be calculated using the formula:
Circumference = π x Diameter
Given that the diameter is 1/2 inch, we can substitute the values:
Circumference ≈ 3.14 x (1/2) in.
Circumference ≈ 3.14/2 in.
Circumference ≈ 1.57 inches
9/4 is close to the square root of what integer?(1 point)
The square root of an integer close to 9/4 can be calculated by finding the square roots of nearby integers and comparing them.
The square root of 2 is approximately 1.414.
The square root of 3 is approximately 1.732.
The square root of 4 is 2.
The square root of 5 is approximately 2.236.
Since the square root of 2 is less than 9/4 and the square root of 3 is greater than 9/4, we can conclude that the square root of 2 is the closest integer to 9/4.
thats not the answer
Apologies for the incorrect response. Let's try again.
To find the square root of the fraction 9/4, we need to simplify it first. The fraction 9/4 can be written as 2.25.
Now, we can find the square root of 2.25. The square root of 2.25 is 1.5.
Therefore, the square root of 9/4 is approximately equal to the integer 1.5.
thats still not the answer
Apologies for the confusion. I made an error in my previous response. Let's try again.
To find the square root of the fraction 9/4, we can simplify it first. The fraction 9/4 is equivalent to the decimal 2.25.
Now, we want to find an integer whose square is close to 2.25. By evaluating the square root of several integers, we can determine the closest integer:
The square root of 1 is 1.
The square root of 2 is approximately 1.414.
The square root of 3 is approximately 1.732.
The square root of 4 is 2.
Comparing these values, we can see that the square root of 2 is the closest integer to 2.25.
Therefore, the square root of the integer closest to 9/4 is approximately 2.
Identify which condition is necessary for a number to be rational.(1 point)
Responses
It must be written as a fraction.
It must be written as a fraction.
It must be able to be expressed as an integer divided by a nonzero integer.
It must be able to be expressed as an integer divided by a nonzero integer.
It must not be negative.
It must not be negative.
It must not be an endless decimal.
It must not be an endless decimal.
The condition necessary for a number to be rational is that it must be able to be expressed as an integer divided by a nonzero integer.
Which of the following is irrational?(1 point)
Responses
3√4
Start Fraction Start Root 3 End Root over 4 End Fraction
52.781654292
52.781654292
3.6363636363636363...
3.6363636363636363...
−7837
The irrational number among the given options is:
3√4, which is the cube root of 4.
Estimate the value of 6×2–√. Which of the following choices is the best estimate?(1 point)
Responses
7.1
7.1
6.4
6.4
9.8
9.8
8.4
To estimate the value of 6×2–√, we can simplify the expression:
6×2–√ = 6×(2)^(1/2) = 6√2 ≈ 6×1.414 ≈ 8.484
Among the given choices, option 8.4 is the best estimate.
Which statement is true about the square root of 28?(1 point)
Responses
It is between 5 and 6, probably closer to 6.
It is between 5 and 6, probably closer to 6.
It is between 4 and 5, probably closer to 5.
It is between 4 and 5, probably closer to 5.
It is between 6 and 7, probably closer to 6.
It is between 6 and 7, probably closer to 6.
It is between 5 and 6, probably closer to 5.
The closest integer to the square root of 28 is between 5 and 6. However, since the square root of 28 is approximately 5.29, it is more accurate to say that it is between 5 and 6, probably closer to 6.
Therefore, the statement "It is between 5 and 6, probably closer to 6" is true about the square root of 28.
Which statement is true about the integer fraction that equals the square root of 2?(1 point)
Responses
It is equal to 1.
It is equal to 1.
It requires a computer to find it.
It requires a computer to find it.
It involves large numbers.
It involves large numbers.
It does not exist.
The statement that is true about the integer fraction that equals the square root of 2 is:
It does not exist.
The square root of 2 is an irrational number, which means it cannot be expressed as a fraction of two integers. It is not possible to find an exact integer fraction that is equal to the square root of 2.