The Avogadro's number of every element remains is the same. The number of atoms of 1 mole in every element is Avogadro's number. One mole of an element is 6.02214076×10²³ atoms.
What is an atom?
Each atom is made up of a nucleus and one or more electrons that are linked to it. One or more protons and a significant number of neutrons make up the nucleus. Only the most prevalent type of hydrogen is neutron-free. Atoms that are neutral or ionized make up every solid, liquid, gas, and form of plasma.
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.
The number of atoms of one mole substance is 6.02214076 × 10²³ which is Avogadro's number.
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Data on the fuel consumption y of a car at various speeds x is given. Fuel consumption is measured in mpg, and speed is measured in miles per hour. Software tells us that the equation of the least‑squares regression line is ^ y = 55. 3286 − 0. 02286 x
Fuel consumption is 53.957 miles per gallon for a car moving at a speed of 60 miles per hour using least square Regression .
What is Regression ?A statistical word for models that evaluate the connections between variables is regression. A single dependent variable Y and one or more independent variables X are studied using a linear regression model.
A technique for employing a goodness-of-fit criterion to fit a curve—not necessarily a straight line—through a collection of points. Regression that is most frequently used is linear regression. Recursion is occasionally used interchangeably with the word regression.
Y = mX + b, where X is the predictor (independent) variable, m is the estimated slope, and b is the expected intercept, is the formula for simple linear regression.
Calculation of Fuel Consumption in 60 miles per hour.
given the least square regression line is
y = 55.3286 - 0.02286x
so, y = 55.3286 - 0.02286 * 60 = 53.957 miles per gallon.
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Find the value of this:
Suppose that 15 inches of wire costs 90 cents. At the same rate, how many inches of wire can be bought for 72 cents?
Answer:
12 inches-----------------------------
15 inches of wire costs 90 cents, then 1 inch of wire costs:
90/15 = 6 centsThe length of wire for 72 cents:
72/6 = 12 inchesCelia is 2 times Jacque’s age now. Celia was 6 times Jacque’s age 9 years ago. What system of equations can be solved to find their ages?
Group of answer choices
Plz help me with this no links
Answer:
11.7
Step-by-step explanation:
use the distance formula known as pythagorem theorem and plug in the x and y values.
PLS HURRY I HAVE 30 MIN
:)
which shape has the smallest perimeter?
-describe all of your work and how you derived your answers.
Answer:
Circle.among all shapes with the same area, a circle has the shortest perimeter
{what is the area of the shaded region of the parallelogram below?}
plshelp!!
Answer:
J) 924 cm²
Step-by-step explanation:
the shaded area represents a trapezoid and the formula for area is:
1/2 x height x (sum of parallel bases)
A = 1/2(24)(35+42)
A = 12(77)
A = 924
How do you find the X and y-intercept of a function?
To find the x-intercept and y-intercept of a function, one can set the x or y value equal to zero and solve for the other variable.
The x-intercept of a function is the point where the graph of the function crosses the x-axis. To find the x-intercept, one can set the y-value equal to zero and solve for the x-value. For example, if the function is y = 2x + 3, the x-intercept can be found by setting y equal to zero and solving for x. In this case, 0 = 2x + 3, which means x = -3/2. So the x-intercept of this function is (-3/2,0).
The y-intercept of a function is the point where the graph of the function crosses the y-axis. To find the y-intercept, one can set the x-value equal to zero and solve for the y-value. For example, if the function is y = 2x + 3, the y-intercept can be found by setting x equal to zero and solving for y. In this case, y = 2(0) + 3 = 3, so the y-intercept of this function is (0,3).
Knowing the x and y intercepts of a function gives an idea of where the graph will start and the behavior of the function in the x and y-axis.
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What are the actual dimensions of the Books section?
Answer:
b.
Step-by-step explanation:
Sophia buys 11 bottles of pineapple juice at the corner store for a total cost of $9.90. Assume each bottle of juice is the same price. If c represents the total cost in dollars and cents of the juice for any number, j, of bottles of juice, write a proportional equation for c in terms of j that matches the context. How do I do that
The proportion equation for c in terms of j is written as c = 0.9j
How to write the equationIn order to find the proportional equation for c in terms of j that matches the context, what you would have to do would be to divide 9.90 dollars by 11 bottles of pineapple juice.
This would tell us the price that one of the bottles of juice is been sold for.
Hence we would have
9.90 / 11
= 0.9
Hence the equation would be: c = 0.9j
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50PTS 50 PTS (DONT explain just answer please)
Answer: 17
Step-by-step explanation:
Answer:
x = 17°
Step-by-step explanation:
The given angles are,
→ 6x + 8
→ 4x + 2
Now we have to,
→ find the required value of x.
Forming the equation,
→ (6x + 8) + (4x + 2) = 180°
{As two angles in a straight line is 180°}
Then the value of x will be,
→ (6x + 8) + (4x + 2) = 180°
→ 6x + 4x + 8 + 2 = 180°
→ 10x + 10 = 180°
→ 10x = 180° - 10
→ x = 170/10
→ [ x = 17° ]
Hence, the value of x is 17°.
What is the price per ounce of a 32‑ounce box of cereal priced at $4.16?
11 cents / ounce
12 cents / ounce
13 cents / ounce
14 cents / ounce
Answer:
13 cents / ounce
Step-by-step explanation:
$4.16÷32= $0.13 cents/ounce.
The steps to solve an equation are shown below. Choose the reasons that are listed in the correct order to justify the steps in the solving process.
A- 1. Given, 2. Division Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality
B- 1. Given, 2. Multiplication Property of Equality, 3. Subtraction Property of Equality, 4. Division Property of Equality
C- 1. Given, 2. Division Property of Equality, 3. Addition Property of Equality, 4. Multiplication Property of Equality
D- 1. Given, 2. Multiplication Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality
The steps to solve the equation (5y - 1)/2 = 7 are assigned and attached
D- 1. Given, 2. Multiplication Property of Equality, 3. Addition Property of Equality, 4. Division Property of EqualityHow to solve the given equationThe expression in the problem is (5y - 1)/2 = 7
Clearing the fraction
The fraction is cleared by applying the Multiplication Property of Equality
(5y - 1)/2 = 7
5y - 1 = 14
Adding 1 to both sides of the equation is done using Addition Property of Equality
5y - 1 + 1 = 14 + 1
5y = 15
Making y the subject of formula Division Property of Equality is applied
5y / 5 = 15 / 5
y = 5
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Rewrite 14x4y3 − 42x3y4 using a common factor.
The expression 14x⁴y³ - 42x³y⁴ is rewritten to 14x³y³(x - y)
What is an algebraic expression?
An algebraic expression can be described as a mathematical expression that is made up of terms, coefficients, variables, factors and constants.
They are also made up of some arithmetic operations, such as;
SubtractionMultiplicationDivisionBracketParenthesesAddition, etcFrom the information given, we have the algebraic expression;
14x⁴y³ - 42x³y⁴
Now, factor the common numbers, we have;
14(x⁴y³ - 3x³y⁴)
Factor the common variables, we get;
14x³y³(x - y)
Hence, the expression is 14x³y³(x - y)
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Determine whether the graph of the given equations are parallel, perpendicular, or neither
Answer:
7) perpendicular
8) perpendicular
Step-by-step explanation:
If the equations are in the form:
y = mx + b
(they all are in this form in these questions)
the m, the number in front of the x, is the slope.
If the slopes are the "negative reciprocals" (opposite signs and flipped over from each other) of each other, then the lines are perpendicular.
You can also do a quick check by, if the m values are multiplied together you should get -1.
1/3 • - 3 = -1
1 • -1 = -1
1/3 and -3 have opposite signs and are reciprocals (flipped over)
1 and -1 are opposite signs. It isn't very obvious maybe that they are reciprocals, but they are. Like 1/1 flipped over is 1/1.
Is it possible for two lines with negative slopes to be perpendicular? Justify your answer.
Answer:
No
Step-by-step explanation:
The slopes of perpendicular lines must always be the negative reciprocal of each other. If one slope is negative, for the other to be perpendicular to it, it must be positive, and vise versa.
Answer:
No
Step-by-step explanation:
Interesting question. Subtle.
The formula for two lines to be perpendicular is m1 * m1 = -1 That means that two lines cannot be minus -- only 1 of them can be. The reason is that if both were minus when multiplied together would give a positive result -- not minus one. For example, suppose you have
y = x + 2
y = 2x + 3.
These 2 lines will cross and they are not parallel, but neither are they perpendicular. I'm not going to solve this to find out where they cross -- that's not what you are asking.
Now suppose you have two other lines
y = - 2x + 3
y = 1/2 x + 1
These two lines should be perpendicular
-2 * 1/2 = - 1 which is the condition of perpendicular.
Separate graphs have been uploaded to help you understand.
Sarah has £135
gemma has £70
beth has £35
sarah gives some of money to gemma and beth.
the ratio of the amount of moneu sarah, gemma and beth have now is 3:2:1.
How much money did sarah give to gemma???
pls help i so stuck and i need the answer quick!
Answer:
£10 pounds
Step-by-step explanation:
135+70+35 = 240 pounds between all 3
3:2:1 ratio means 6x represents all of them
6x=240
x=£40 each 1
3(40) = £120 Sarah
2(40) = £80 Gemma
1(40+ = £40 Beth
Gemma received 10 pounds.
There are 30 students in an art class. Fourteen of the students are girls.
What is the ratio of boys to girls?
A.7:8
B.8 :7
C.8:15
D.14:40
E.30:14
Answer: B
Step-by-step explanation: To get the boys part of the ratio you will have to subtract 30 students and 14 students that are girls because all together there are 30 students and since we only know that 14 of them are girls that leaves the rest of the students boys. 30 - 14 = 16 so now we know how many boys there are. 16:14 can be reduced by 2 and that equals to 8:7.
Hope this helps!
The ratio of boys to girls is equal to: B. 8 :7
Given the following data:
Total students = 30 studentsNumber of girls = 14 studentsTo calculate the ratio of boys to girls:
How to calculate ratio.First of all, we would determine the number of boys in the art class by subtracting the number of girl students from the total number of students in this class.
[tex]Total \;students = boys + girls\\\\30=boys + 14\\\\Boys =30-14[/tex]
Boys = 16 students.
For the ratio:
[tex]B:G=16:14[/tex]
Dividing by 2, we have:
[tex]B:G=8:7[/tex]
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The experimental calculation of the specific heat of aluminum was found to be. 156 cal/g °C, but the actual value was given as. 185 cal/g °C. What is the percent error?
The percentage error is 16%
We know that the formula for the percentage error.
E = (absolute error / actual value) × 100
The formula for the absolute error is:
A = |actual value - experimental value|
A = |V1 - V2|
where V1 is the actual value
V2 is the experimental value
E is the percentage error
A is the absolute error
In this question, the experimental calculation of the specific heat of aluminum = 156 cal/g °C
And the actual specific heat of aluminum = 185 cal/g °C
Using above formula of absolute error,
A = |185 - 156|
A = 29 cal/g °C
And the percent error would be,
E = (absolute error / actual value) × 100
E = (29 / 185) × 100
E = 0.16 × 100
E = 16%
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Hay can some one help me I need the answers
Answer:
check: 2,3,5,8
Step-by-step explanation:
HELP. TRUE OR FALSE?
later surface area means you do not includes the bases of the figure
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.
In 33,291 how is the value of the three in the 10,000s place related to the value of the three in the thousands place
The place value of 3 in 10,000s place is the product of 10 with the place value of 3 in thousands place.
What is Place Value?Every digit in a number has it's own place value. Place value is the position of a digit in a number.
For example, in the number 3456, 6 is in the ones place, 5 is in the tens place, 4 is in the hundreds place and 3 is in the thousands place.
Given the number 33,291.
Place value of 1 = 1
Place value of 9 = 90
Place value of 2 = 200
Place value of 3 in thousands place = 3000
Place value of 3 in ten thousands place = 30,000 = 3000 × 10
That is, place value of 3 in 10,000s place is the product of ten with the place value of 3 in thousands place.
Hence the place value of 3 in thousands place multiplied to 10 gives the place value of 3 in 10,000s place.
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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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We have x tables and y chairs available for prom.
If we put 12 chairs at each table there will be 4 extra chairs with no table.
If we put 14 chairs at each table, one whole table will be empty and another will only have 6 chairs.
How many available tables and chairs do we have available for the prom.
Answer:
looool
Step-by-step explanation:
In a middle school orchestra, there are 6 sixth graders, 11 seventh graders, and 8 eight graders. If one student is randomly chosen to complete a solo, what is the probability that a seventh grader is chosen?
Answer:
11/25
Step-by-step explanation:
total number of students to selet from is 6+11+8=25
number of seventh graders is 11
=11/25
what 3 numbers multiplied equal 36
Answer: 3 times 4 times 3
Step-by-step explanation:
Answer:
6 x 3 x 2 = 36
Step-by-step explanation:
Find the missing length of the right triangle.
can someone please help me with these two questions I would really appreciate it they go together LINKS WILL GET REPORTED !
Here is your answer :
Answer 1 :
Volume of the Cylinder = πr²h
Therefore, The Volume of the Cylinder is 50.27 Feet
By Rounding, 50 Units/Feet
Answer 2 :
So, volume is always cubed since you have l x w x h.
A cubic ft is 12 in x 12 in x 12 in = 1728 in3.
35328.78/1728 = 20.44
20.44 x 7.48 = 152.89
About 153 gallons
HOPE IT HELPS
your uncle is 2 years older than your 3 times your age. a. you are x old. write an expression to describe your uncle's age. b. you are 12 years old. how old is your uncle
The age of your uncle is modeled by:
y = 2 + 3*x
Evaluating it, we can see that when you are 12 years old, your uncle will be 38 years old.
How to find the equation for your uncle's age?Let's define the variables: y as your uncle's age and x as your age.
Here we know that your uncle is 2 years older than 3 times your age, so we can write the linear equation:
y = 2 + 3*x
This is the equation we needed to find.
b) If you are 12 years old, then we can write x = 12 in the equation above, then we will get:
y = 2 + 3*12
y = 2 + 36
y = 38
That's the age of your uncle.
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Trey and three of his friends are ordering a pizza. They plan to split the cost, and the want to spend at most $3.50 per person. Write and solve an inequality to find the cost of the pizza they should order.
The inequality to find the cost of the pizza they should order is c ≤ 14. The cost is at most $14.
How to express the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
Since Trey and three of his friends are ordering a pizza and they want to spend at most $3.50 per person. An inequality to find the cost of the pizza they can order is:
c ≤ (3.50 × 4)
c ≤ 14
The cost will be at most $14.
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