The value of Avogadro's number is 6.02214076 × 10²³. The ratio of the actual mass of an element to its atomic mass is always constant which is known as Avogadro's number.
What is one mole?
One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.
The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.
The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of 6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.
It shows how many atoms or molecules make up one gram of an element's or compound's molecular weight. The value is "6.022 × 10²³" when the atomic mass of an element is divided by the actual mass of its atom.
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The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, on Monday the baker makes 36 blueberry muffin what is the total number of muffins that the baker makes on Monday.
Answer:
90
Step-by-step explanation:
40% is for 36
(100*36)/40
A bird flew from the ground onto a tree branch 5 feet above the ground.What could the bird do next that would make this situation a model of combining a number and its additive inverse
We are given that A bird flew from the ground onto a tree branch 5 feet above the ground.
We are supposed to find What could the bird do next that would make this situation a model of combining a number and its additive inverse
Additive inverse - What you add to a number to get zero is additive inverse.
The negative of a number.
Now we are told What could the bird do next that would make this situation a model of combining a number and its additive inverse
Since it already flew 5 feet above the ground .
Additive inverse of 5 feet is -5 feet
So, to make the situation of combining a number and its additive inverse
Bird has to flew 5 feet return to the ground i.e.-5 feet
So, a model of combining a number and its additive inverse = 5+(-5)
= 0.
Fly down 5 feet and return to the ground.
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Answer:
Fly down 5 feet and return to the ground.
Step-by-step explanation:
have a nice day.
How do you know if 3 lengths will make a triangle?
If three lengths can make a triangle by using the Triangle Inequality Theorem which states . that any two triangle sides added together must exceed the third side If the sum of any two sides is equal to or less than the third side, then the lengths cannot make a triangle.
The Triangle Inequality Theorem can be used to determine if a triangle can be formed from three lengths. According to this theorem, any two triangle sides must add up to more than the third side. To put it to use, add up the lengths of the first two sides and compare them to the third side's length. The lengths cannot form a triangle if the total of the first two sides is more than or equal to the third side. The lengths can form a triangle if the product of the first two sides is bigger than the product of the third side.
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Y=6 and x=-1 parallel or perpendicular line
By plot in graph, we get Y=6 and x=-1 is perpendicular lines.
What is parallel line?Parallel lines are lines in a plane that are always the same distance apart and never intersect. They are coplanar lines that do not intersect each other, and they have the same slope.
What is perpendicular line?Perpendicular lines are lines that intersect at a right angle (90 degrees). In other words, they are lines that are at a 90-degree angle to each other. The slope of perpendicular lines are opposite reciprocals of each other, meaning that if one line has a slope of m, the other line will have a slope of -1/m.
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Tammy already has $565 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account. Let w represent the number of weeks.
Answer:
Since she already has $565, her goal is $665.
5 × 20 = 100
w = 20 weeks
How do you find the length of the third leg of a triangle?
The third side of the triangle can be found out by using the Pythagoras theorem or the Heron's formula.
When there is a right angle triangle (A triangle whose on angle is of 90 degrees) then we use the Pythagoras theorem to find the third side.
The relation says that the sum of the square of the base and perpendicular is equal to the square of the hypotenuse.
In case of the scalene triangle the heron's formula is used to find out the value of the third side of the triangle.
There are several methods also present to find the value of the third side of the triangle.
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If the m<1 = 17x - 30, and the <2 = 7x + 18, what is the value of x?
The value of x is 8.
What are supplementary angles?Angles are formed whenever two or more straight lines intersect. These angles produced thus have individual and some common properties of which some can add up to form complementary angles, or supplementary angles.
Two angles are said to be supplementary if the value of their sum add up to 180^o.
From the given question, we can deduce that;
m<1 + m<2 = 180^o (definition of complementary angles)
(17x - 30) + (7x + 18) = 180^o
17x - 30 + 7x + 18 = 180^o
24x - 12 = 180
24x = 180 + 12
24x = 192
x = 192/ 24
= 8
x = 8
The value of x is 8.
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The shelf life of a dairy product is normally distributed with a mean of 5 days and a standard deviation of 4 days. What is the probability that the product has a shelf life of at least 1 week and at most 2 weeks
The probability that the product will last for at least 1 wee and at most 2 week is 0.30.
What does the probability rule for products mean?This independent transmission of characteristics phenomenon can be explained by the product rule of probability. It claims that multiplying the odds of each event occurring alone will yield the probability of two independent events occurring together.
How do you calculate a product's probability?P(E F) = P(E) P(F) is the product rule, where E and F are independent events. Explain that independence means that the likelihood of one event occurring has no bearing on the likelihood of the other.
The probability that the product will last for at least 1 wee and at most 2 week is 0.30.
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Please help I’m going to fail this grade
The result of the operation between two mixed numbers are listed below:
99 / 104 4 / 3 6 / 5 52 / 25 57 / 53 33 / 100 1 / 2 8 / 5 4 4 / 3How to solve an operation between mixed numbers
Mixed numbers are real numbers with special notation to transform improper fractions into a combination of integers and fractions. That is:
a b / c = a + b / c
Where a, b, c are integers and c is a non-zero number.
The procedure to simplify the operation is described below:
Transform mixed numbers into improper fractions. Divide the resulting two fractions. Simplify the expression.Case 1
1 3 / 8 ÷ 1 4 / 9
(1 + 3 / 8) ÷ (1 + 4 / 9)
(11 / 8) ÷ (13 / 9)
(11 / 8) / (13 / 9)
99 / 104
Case 2
2 1 / 3 ÷ 1 3 / 4
(2 + 1 / 3) ÷ (1 + 3 / 4)
(7 / 3) ÷ (7 / 4)
(7 / 3) / (7 / 4)
28 / 21
4 / 3
Case 3
4 1 / 5 ÷ 3 1 / 2
(4 + 1 / 5) ÷ (3 + 1 / 2)
(21 / 5) ÷ (7 / 2)
42 / 35
6 / 5
Case 4
5 1 / 5 ÷ 2 1 / 2
(5 + 1 / 5) ÷ (2 + 1 / 2)
(26 / 5) ÷ (5 / 2)
(26 / 5) / (5 / 2)
52 / 25
Case 5
9 1 / 2 ÷ 9 4 / 6
(9 + 1 / 2) ÷ (9 + 4 / 6)
(19 / 2) ÷ (58 / 6)
114 / 106
57 / 53
Case 6
2 2 / 10 ÷ 6 2 / 3
(2 + 2 / 10) ÷ (6 + 2 / 3)
(22 / 10) ÷ (20 / 3)
(22 / 10) / (20 / 3)
(66 / 200)
33 / 100
Case 7
2 1 / 4 ÷ 4 1 / 2
(2 + 1 / 4) ÷ (4 + 1 / 2)
(9 / 4) ÷ (9 / 2)
(9 / 4) / (9 / 2)
18 / 36
1 / 2
Case 8
2 2 / 3 ÷ 1 2 / 3
(2 + 2 / 3) ÷ (1 + 2 / 3)
(8 / 3) ÷ (5 / 3)
(8 / 3) / (5 / 3)
8 / 5
Case 9
5 3 / 5 ÷ 1 2 / 5
(5 + 3 / 5) ÷ (1 + 2 / 5)
(28 / 5) ÷ (7 / 5)
(28 / 5) / (7 / 5)
28 / 7
4
Case 10
4 2 / 3 ÷ 3 1 / 2
(4 + 2 / 3) ÷ (3 + 1 / 2)
(14 / 3) ÷ (7 / 2)
(14 / 3) / (7 / 2)
28 / 21
4 / 3
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Select all the pairs of operations that have inverse relationships.
The pair of operations having an inverse relationship are,
Addition and Subtraction, Division and Multiplication.
What are additive and multiplicative inverses?A number's additive inverse is a number that is added to it until the result is zero.
A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.
Addition and subtraction are inverse operations of each other.
Suppose we have 5 and we add 3 to it we get 8.
Now, Subtracting 3 from 8 would result in 5.
Multiplication and division are inverse operations of each other.
Suppose we have 10 and we multiply 2 to it we get 20, Now if we divide 20 by 2 we get back 10 again.
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if you can buy one bunch of cilantro for $1.60 how many can you buy with $38.40?
Answer: 24 bunches of cilantro
Step-by-step explanation:
1. Set a proportion with the given information, which should be 1/1.60 = x/38.40.
2. Cross multiply. Now the equation should 1.60x = 38.40.
3. Divide by 1.60 to get x alone to find out how many bunches of cilantro you can buy with $38.40. This should give you x = 24 bunches of cilantro.
Answer:
24 bunches
Step-by-step explanation:
The person below is correct
The cost of 3 cheese sandwiches and 2 bottles of water is £7. 80. The cost of 5 cheese sandwiches and 4 bottles of water is £14. 20. What is the cost of: (a) one cheese sandwich? (b) one bottle of water?
One cheese sandwich costs $1.4 and one bottle of water costs $1.8.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Let x be the cost of cheese sandwiches and y be the cost of one bottle of water.
3x+2y=7.8
5x+4y=14.2
(3x+2y=7.8)*2
6x+4y=15.6
5x+4y=14.2
x=$1.4
y=$1.8
The cost of one cheese sandwich is $1.4 and that of one bottle of water is $1.8.
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What is the value 8?
The value 8 is a numerical value that represents the quantity of eight. It is the natural number following seven and preceding 9. It is an even number and can be written as the sum of two squares: 8 = 3^2 + 2^2 = 4^2. In binary, it is 1000.
Eight is in the first position and has a place value of 8. Understanding the place value of digits in numbers aids in number comparison. It also aids in the composition of numbers in their enlarged form. For example, the extended version of the previous number, 13,548, is 10,000 + 3,000 + 500 + 40 + 8.
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A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250. What is the population
On solving the provided question, we can say that by mean score the population will be 20192
What is mean?A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate:Divide by how many digits there are after adding up all the digits. the total divided by the count.
A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250
200/4
= 50
50*e^{-2}
the population will be 20192
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Which ordered pairs are in the solution set of the system of linear inequalities?
y2-3x+2
y < 2x + 3
-6-5
-3-
(2. 2) (3. 1) (42)
The ordered pairs that are in the solution set of the system of linear inequalities are (2 ,2), (3 , 1) and (4 , 2).
What is system of equations?A finite collection of equations for which we searched for the common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system.
Given the system of linear inequalities:
y > -3x + 2
y< 2x + 3
Substitute the value of x and y for each given ordered pair.
For (2, 2) x=2 and y =2:
y > -3x + 2
2 > -3(2) +2
2> -4 True.
y< 2x + 3
2 < 2(2) +3
2< 7 True
For (3, 1) x=3 and y=1:
1 > -3(3) + 2
1 > -7 True
y< 2x + 3
1 < 2(3) + 3
1< 9 True
For (4 , 2) x=4 and y =2
y > -3x + 2
2 > -3(4) +2
2 > -10 True.
y< 2x + 3
2 < 2(4) + 3
2 < 11 True.
Hence the ordered pairs (2 ,2), (3 , 1) and (4 , 2) are in the solution set of the system of linear inequalities.
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One angle of a triangle meaure 140°. The other two angle are in a ratio of 3:5. What are the meaure of thoe two angle
One angle of a triangle measure 140°. The other two angles are in a ratio of 3:5.The smaller angle would measure 84°, and the larger angle would measure 56°. This can be found through the use of basic trigonometry.
A triangle is a three-sided polygon with three angles that add up to 180°. Since one of the angles is already known, the remaining two angles can be calculated by subtracting 140° from 180°, which equals 40°. This 40° can then be divided by the ratio 3:5, which is 8° and 32°.
If 8° is the smaller angle, then 32° must be the larger angle. To convert 8° and 32° to the final answer of 84° and 56°, 8° must be multiplied by 10 and 32° must be multiplied by 5. This gives a total of 84° and 56° for the other two angles.
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One angle of a triangle measures 140°. The other two angles are in a ratio of 3:5. What are the measures of that two angles?
What is the length of the hypotenuse of a 45 45 90 triangle with a leg of 12?
It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as 12/√2
since the hypotenuse is one of the legs multiplied by √2.
dividing the hypotenuse by √2 will get the length of one leg. since it is a 45 45 90 triangle, the length of the two legs are the same.
It is given that a 45-45-90 triangle whose each leg is 12 cm, then the length of the hypotenuse can be found out as:
By using the Pythagoras theorem, we have
a^2+b^2= c^2
Substituting the given values, we have
12/√2
Thus, the length of the hypotenuse will be
12/√2
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Answer the questions. If you get stuck, consider using pattern blocks.
a. How many1/2s are in 4?
b.How many 2/3s are in 2?
c.How many 1/6s are in 1?
Eight 1/2s are in 4. This can be visualized with pattern blocks, as four triangles (each triangle is 1/2) would be needed to make up a square (4).
What is visualized?Visualization is the process of creating graphical representations of data and information. It can take the form of charts, graphs, diagrams, maps, and other visual representations of data and patterns. Visualization can be used to explore, analyze, and communicate data in an effective and meaningful way, helping to make complex data more accessible and easier to understand. Visualization can also help to uncover trends and relationships that might otherwise be difficult to detect.
b. Three 2/3s are in 2. This can be visualized with pattern blocks, as three hexagons (each hexagon is 2/3) would be needed to make up a rectangle (2).
c. Six 1/6s are in 1. This can be visualized with pattern blocks, as six rhombuses (each rhombus is 1/6) would be needed to make up a hexagon (1).
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A plumber charges a flat fee of $73 to visit a home and examine a clogged drain. The plumber charges an additional $25 per hour spent fixing the drain. The total cost, C (in dollars), for fixing a drain that takes h hours is given by the following. C=25h+73 (a) What is the total cost for fixing a drain that takes 5 hours? (b) If the plumber charged a total of $398, how many hours did he spend fixing the drain?
Answer:
a. The total cost of fixing the drain is $198
b. The plumber spend 13 hours fixing the drain
Step-by-step explanation:
We know the equation is
C=25h+73
C = the total cost
h = the number of hours
Let's solve question a by putting 5 in for h
C=25(5)+73
C = 125 + 73
C = $198
So, the total cost of fixing the drain is $198
Let's solve question b by butting 398 in for c
398=25h+73
325 = 25h
h = 13 hours
So, the plumber spend 13 hours fixing the drain
If you can, please give me a Brainliest; thank you!
Helllllp please ????
The linear relation y = |2x - 5| is a function which has it's domain along (-∞, ∞) and it's range at [0, ∞)
What is a Linear RelationA linear relation is a relationship between two variables (x and y) in which the points, when plotted on a graph, form a straight line. This means that for a given change in the independent variable (x), there will be a corresponding, predictable change in the dependent variable (y).
In this given relation, we can graph the absolute function and determine it's range and domain.
Using a graphing calculator;
y = |2x - 5|
The x-intercept of the relation is 2.5 and it's y-intercept is 5
The domain of the relation is (-∞, ∞)
The range of the relation is [0, ∞)
The relation y = |2x 5| is a function which is known as an absolute function
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What does =] mean in text?
It typically means that the person is being friendly and is in a good mood.The expression =] is often used as an emoticon to express friendliness, positivity, and happiness. It can be used as a stand-alone expression or as part of a longer sentence.
The expression =] is commonly used in text conversations as an emoticon to express friendliness, positivity, and happiness. It is typically used when a person wants to convey a feeling of warmth and good cheer. The expression can be used as a stand-alone expression or as part of a longer sentence. When used alone, it has a meaning similar to a smiley face and can be used to respond to a message in a positive way. When used as part of a longer sentence, it can be used to express a feeling of contentment. As an emoticon, it has no specific meaning, but it can be used to show that the person is in a positive and good mood. Using this expression can be a way to show that you are happy and in a friendly mood.
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Circle of circumstances
The circumference of the circle is 2πr.
What is circumference of a circle?The circumference of a circle is the distance around the outside of the circle. It is given by the formula C = 2πr, where C is the circumference, π is the mathematical constant approximately equal to 3.14 and r is the radius of the circle. In other words, the circumference is equal to the diameter times pi.
For the given question,
The formula of the circumference of the circle,
C = 2πr
where r is the radius of the circle.
Hence we can conclude that the circumference of the circle is 2πr.
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WILL GIVE BRAINLIEST PLEASE HELP
The following triangular prism has a base that is a right triangle.
A. Draw or describe the net of this triangular prism. Make sure to include the dimensions of each part of the net.
B. Use your net to calculate the surface area of the prism.
A. The net of a triangular prism is a flattened version of the prism that shows all the faces of the prism.
The prism's base is a right triangle with a base of 3 units and a height of 4 units. The prism is six units tall. The net of the triangular prism would look like a rectangle with a length of 3 units and a width of 4 units. On top of this rectangle, there would be two smaller triangles, each with a base of 3 units and a height of 6 units.
B. To calculate the surface area of the prism, we need to add the area of all the faces.
The base of the prism is a right triangle with an area of (1/2) (3 units) (4 units) = 6 square units.
The two triangular faces have an area of (1/2) (3 units) (6 units) = 9 square units each.
The rectangular face has an area of (3 units) (6 units) = 18 square units.
So, the total surface area of the prism is:
6 square units (base) + 9 square units (triangular face) + 9 square units (triangular face) + 18 square units (rectangular face) = 42 square units.
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Adrian and Rory started comic book collections at the same time. Adrian started with 12 comic books and buys 4 more each month. Will they ever have the same number of comic books ? If so after how many months ? Use an equation to justify your answer
No, Both will not have the same amount of comic books because they add the same number each month.
What is an Equations?Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Adrian started with 12 comic books and buys 4 more each month.
Rory started with 8 comic books and buys 4 more each month.
let x be the number of books.
A(x) = 4x+12
Rory starts with 8 comic books and add 4 comic books each month.
R(x) = 4x+8
Hence, Both will not have the same amount of comic books because they add the same number each month. There will be 4 additional comic books for Adrian.
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35PTS 35PTS answer the whole question, don’t explain.
The equation of the straight line in slope - intercept form will be y = (1/4)x - 2.
What is the slope - intercept form of a line?The slope - intercept form of a line is -
y = mx + c ... { 1 }
where -
{m} is slope of line.
{c} is y - intercept of the line.
Given is the slope of the line as {m} = 1/4 and the y - intercept as {c} = -2.
From Eq { 1 }, we can write the slope - intercept form as -
y = mx + c
y = (1/4)x - 2
Therefore, the equation of the straight line in slope - intercept form will be y = (1/4)x - 2.
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(PLS HELP, URGENT, IT'S DUE IN 12 MINUTES!!!!)
Kara can run 3 miles in 25.5 minutes. At this rate, how long would it take her to run 2 miles? Diana's answer: If I subtract 1 mile from 3 miles, I get 2 miles, so if I subtract 1 minute from 25.5 minutes, I get 24.5 minutes. Kara takes 24.5 minutes to run 2 miles. Is Diana's answer correct? Explain pls!
Answer:25.5 divided by 3= answer I think
Step-by-step explanation:
answer this question for me.
The angle measure of m∠CAF = 23°.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
The angle measures,
m∠EBG = 23°
m∠CAE = 52°
From the figure,
m∠EBG = m∠FAE = 23°
So, from the figure,
m∠CAE = m∠CAF + m∠FAE
Substituting the angle measures,
52 = m∠CAF + 23
m∠CAF = 52 - 23
m∠CAF = 22°
Therefore, 23° is the angle measure of m∠CAF.
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HELP PLEASE QUICK!!
Use the graph of the equation to answer the question.
Part A: What is the domain of the equation?
A. All real numbers
B. x≤2
C. x≥-4
D. x≥2
Part B: What is the range of the equation?
A. y≥-4
B. All real numbers
C. y≤-4
D.y≥2
The domain of the equation is (A) All real numbers and the range of the equation is (A) y≥-4.
What is the domain and range of the equation?The range of values that can be plugged into a function is known as its domain. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).
The domain of the equation is (A) All real numbers because the value of x is all real numbers.
and the range of the equation is (A) y≥-4, because the value of variable y is greater than and equal to -4 for all values of x.
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Helen delivers parcels on tuesday helen delivered 20% more parcels than on monday.
On Wednesday, helen delivered 50% fewer parcels than on Tuesday.
On Wednesday, helen delivered 72 parcels
calculate the number of parcels that helen delivered on monday
So the number of parcels that Helen delivered on Monday is 120 parcels.
Define Percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Proportion.An equality of two ratios is a percentage. We use proportions to construct comparable ratios and find solutions to problems involving unknown numbers.
If on Wednesday Helen delivered 50% fewer parcels than on Tuesday, then on Tuesday Helen delivered 72 / (1 - 0.5) = 72 * 2 = 144 parcels.
On Tuesday Helen delivered 20% more parcels than on Monday, so the number of parcels Helen delivered on Monday is (144 / 1.2) = 120
So Helen delivered 120 parcels on Monday.
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Your friend has read 6 more than twice as many pages as your
sister has read. Let 4
be the number of pages that your sister has
read. Write an expression for the number of pages that your friend
has read
Answer:
Expression: 2s + 6
# of Pages Friend Read: 14 pages
Step-by-step explanation:
Let's call the number of pages your sister has read, s, and the number of pages your friend has read, f. We will make our equation first. If your friend has read 6 more than twice as many pages as your sister has, your equation would look like this:
f = 2s + 6
That is your equation for how many pages your friend read, your expression would be just 2s + 6. Now, we will substitute in 4 for s, and we get:
f = 2 * 4 + 6
Multiplying gives:
f = 8 + 6 = 14
So your friend has read 14 pages.
Hope this helped!