How many electrons does a Carbon atom have in its outer shell? (1 point)
Responses
1
4
A carbon atom has 4 electrons in its outer shell.
What is a hydrocarbon?(1 point)
Responses
Large molecules that are produced by living things..
A large chain of carbons and hydrogens bonded together.
A hydrocarbon is a large chain of carbons and hydrogens bonded together.
What do ALL biomolecules have in common?(1 point)
Responses
They are used to make proteins
They are made of carbon, oxygen, and hydrogen
They are made of carbon, oxygen, and hydrogen.
What makes amino acids unique from one another?(1 point)
Responses
The R-Group
The amino groups
The R-Group makes amino acids unique from one another.
What kind of biomolecule is starch?(1 point)
Responses
Lipid
Carbohydrate
Starch is a carbohydrate.
Which compound contains nitrogen(1 point)
Responses
Water
Amino Acid
Amino Acid contains nitrogen.
During a chemical reaction, the number of atoms always(1 point)
Responses
changes.
stays the same.
During a chemical reaction, the number of atoms always stays the same.
Reliability refers to(1 point)
Responses
expertise
consistency
Reliability refers to consistency.
What is an exothermic reaction?(1 point)
Responses
A reaction that releases heat, so it becomes hot.
A reaction that doesn't require any energy.
An exothermic reaction is a reaction that releases heat, so it becomes hot.
What biomolecule is used to make DNA? (1 point)
Responses
Fatty Acids
Nucleotides
Nucleotides are used to make DNA.
Why are enzymes helpful?(1 point)
Responses
They increase activation energy required for a chemical reaction.
They speed up (catalyze) chemical reactions.
@bot
Apologies for the incorrect response. Enzymes are helpful because they speed up (catalyze) chemical reactions.
Which statement is true about the relationships between the number sets?(1 point)
Responses
All rational numbers are also integers.
Some irrational numbers are also integers.
Not all natural numbers are real numbers.
Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.
Which of the following is true about −9?(1 point)
Responses
It is an integer but not a whole number.
It is a whole number but not an integer.
It is an integer but not a rational number.
It is both an integer and a whole number.
It is both an integer and a whole number.
Which set of numbers is always rational?(1 point)
Responses
decimals
positive numbers
fractions
integers
Fractions are always rational numbers.
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 700 feet on a side?(1 point)
To find the length from one corner to the opposite corner of a square park, we can use the formula mentioned:
diagonal = (2 - √2) * side length
Given that the side length of the square park is 700 feet, we can substitute this value into the formula:
diagonal = (2 - √2) * 700
Now, let's substitute √2 as 1.4:
diagonal = (2 - 1.4) * 700
diagonal = (0.6) * 700
diagonal = 420
Therefore, the approximate length from one corner to an opposite corner of the square park is 420 feet.
The height of an equilateral triangle equals √3/2 times the side length. Using 7/4 for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?(1 point)
To find the height of an equilateral triangle, we can use the formula mentioned:
height = (√3/2) * side length
Given that the side length of the equilateral triangle is 8 meters, we can substitute this value into the formula:
height = (√3/2) * 8
Now, let's substitute √3 as 7/4:
height = (7/4 * 8) / 2
height = (14/4) * 8 / 2
height = (14 * 8) / (4 * 2)
height = 112 / 8
height = 14
Therefore, the approximate height of the equilateral triangle is 14 meters.
Using a number line, what whole number and rational number to the nearest half is √40 between
To identify the whole number and rational number to the nearest half that √40 lies between, let's calculate the square root of 40 to determine its approximate value:
√40 ≈ 6.324
Now, let's consider the nearest whole number and its respective halves:
5 and 5.5
Since √40 is approximately 6.324, it lies between the whole number 6 and the rational number 6.5 (which is the nearest half).
Therefore, √40 is between 6 and 6.5 on the number line.
Using a number line, what whole number and rational number to the nearest half is 58−−√ between?(1 point)
Responses
between 7.5 and 8
between 7 and 7.5
between 8.5 and 9
between 8 and 8.5
To find the whole number and rational number to the nearest half that √58 lies between, let's calculate the square root of 58 to determine its approximate value:
√58 ≈ 7.616
Now, let's consider the nearest whole number and its respective halves:
7 and 7.5
Since √58 is approximately 7.616, it lies between the whole number 7 and the rational number 7.5 (which is the nearest half).
Therefore, √58 is between 7 and 7.5 on the number line.
Using rational approximations, what is an inequality statement comparing √81 and √88? Enter <, >, or =.(1 point)
To compare the square root of 81 (√81) and the square root of 88 (√88) using rational approximations, let's calculate their approximate values:
√81 = 9
√88 ≈ 9.380
Therefore, the inequality statement is:
√81 < √88
Express 8/11 as a repeating decimal. Mark the cycle of repeating digits with a bar.(1 point)
To express 8/11 as a repeating decimal, we perform long division:
```
0.72
----------
11| 8.00
77
----
30
22
----
80
77
----
30
22
----
80
77
----
30
```
The remainder repeats after the division, which means the decimal representation of 8/11 is 0.72 with a repeating cycle of 72. So, we can write it as:
8/11 = 0.72̅
Convert 0.72¯¯¯¯¯ to a rational number in simplest form.(1 point)
To convert the repeating decimal 0.72̅ to a rational number, we can set it up as a fraction and solve for it.
Let's represent the repeating decimal as variable x:
x = 0.727272...
Multiply both sides of the equation by 100 to shift the repeating part to the left side of the decimal point:
100x = 72.727272...
Subtract the original equation from the equation multiplied by 100:
100x - x = 72.727272... - 0.727272...
99x = 72
Divide both sides of the equation by 99:
x = 72/99
We can simplify this fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 9:
x = (72/9) / (99/9)
x = 8/11
Therefore, the rational representation of 0.72̅ is 8/11.
Which of the following is a rational number between 5 and 514?(1 point)
Responses
5 1/3
5 1/7
√26
5 2/5
The rational number between 5 and 514 is 5 1/3.
What is a rational number with a denominator of 7 that is between √7 and √8. Write your answer as an improper fraction.(1 point)
To find a rational number with a denominator of 7 between √7 and √8, we can consider the fractions with a denominator of 7 and test their values in comparison to √7 and √8.
Let's start with the fraction 1/7 and compare:
√7 ≈ 2.645
√8 ≈ 2.828
1/7 ≈ 0.142
Since 0.142 is less than √7, we can try the next fraction, 2/7:
2/7 ≈ 0.285
Still, 0.285 is less than √7. So, we can proceed to the next fraction, 3/7:
3/7 ≈ 0.428
Now, 0.428 is greater than √7 but less than √8. Therefore, the rational number with a denominator of 7 that lies between √7 and √8 as an improper fraction is:
3/7