Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).
Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.
Step-by-step explanation:
Morning Donuts has a variety of donuts for sale.
maple donuts
cake donuts
14
15
cream-filled donuts
9
chocolate frosted donuts 11
What is the probability that a randomly selected donut will be a maple donut?
Write your answer as a fraction or whole number.
P(maple donut)
=
Answer:
here are a total of 14 + 15 + 9 + 11 = 49 donuts.
The probability of selecting a maple donut is the number of maple donuts divided by the total number of donuts:
P(maple donut) = 14/49
So the probability of selecting a maple donut is 14/49, which can also be written as a fraction in simplest form: 2/7.
please fill out the steps
The simplified form of a rational equation [x + 1 / (x - 2)] / [x² / (x - 2) + 1] is equivalent to (x - 1) / (x + 2).
How to simplify a rational equation
In this problem we need to determine the simplified form of a rational equation, whose form is:
R(x) = P(x) / Q(x)
Where:
P(x) - Polynomic numerator.Q(x) - Polynomic denominator.
The simplification process can be done by means of algebra properties. First, write the rational equation:
[x + 1 / (x - 2)] / [x² / (x - 2) + 1]
Second, expand the numerator and the denominator:
[(x² - 2 · x + 1) / (x - 2)] / [(x² + x - 2) / (x - 2)]
Third, simplify the fraction by algebra properties:
[(x² - 2 · x + 1) · (x - 2)] / [(x² + x - 2) · (x - 2)]
(x - 1)² / [(x + 2) · (x - 1)]
(x - 1) / (x + 2)
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pls help me my homework is due tmrw and me and my mom are stumped.
Answer:
Step-by-step explanation:
A refrigerator is a cuboid, so W=3ft, L= 2.5ft, and H=6ft,
the volume of the refrigerator =W x L x H=3x2.5x6=45ft^3
The walls and other parts have 20ft^3 volume, so we have to minus them, so
volume left for food =45-20=25ft^3
Answer:
Step-by-step explanation:
Volume of the fridge = 3 × 2.5 × 6 = 45 ft³
then subtract the 20 ft³
45 - 20 = 25 ft³
Pythagorean Theorem. I have to turn this in by Friday
Answer:
1. b = [tex]\sqrt{20}[/tex]
2. c = [tex]\sqrt{2[/tex]
3. b = [tex]\sqrt{105}[/tex]
4. c = [tex]\sqrt{113}[/tex]
5. c = [tex]\sqrt{52}[/tex]
6. b = [tex]\sqrt{80}[/tex]
7. b = [tex]\sqrt{130}[/tex]
8. a = [tex]\sqrt{48}[/tex]
9. c = [tex]\sqrt{149[/tex]
10. c = [tex]\sqrt{5}[/tex]
Example:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]8^{2}[/tex] + [tex]b^{2}[/tex] = [tex]12^{2}[/tex]
64 + [tex]b^{2}[/tex] = 144
64 + [tex]b^{2}[/tex] = 144 - 64
[tex]b^{2}[/tex] = 80
[tex]\sqrt{b}[/tex] = [tex]\sqrt{80}[/tex]
Find the area of a triangle with a height of 5x7y2 and a base of 4x3y
The area of the triangle is A = 10x¹⁰y³
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Let the area of the triangle be represented as A
Now , the base of the triangle is = 4x³y
Let the height of the triangle be = 5x⁷y²
And , The area of the triangle = ( 1/2 ) x Length x Base
Substituting the values in the equation , we get
Area of Triangle = ( 1/2 ) ( 4x³y ) ( 5x⁷y² )
On simplifying the equation , we get
Area of Triangle A = 10x¹⁰y³
Hence , the area of the triangle is A = 10x¹⁰y³
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the point (3,W) is on the graph of y= 2x +7. What is the value of W
Answer:13
Step-by-step explanation:
y=2x+7
x=3
2*3+7=13?
The solution is, the value of w is 13.
Here, we have,
We are given that the point (3,w) lies on the line y = 2x + 7.
This means that if we substitute x = 3 into the equation y = 2x + 7,
we will get the value of y at x = 3, which is equal to w.
so, we get,
Substituting x = 3 into the equation y = 2x + 7, we have:
y = 2(3) + 7
y = 6 + 7
y = 13
So, after simplification we get, w = 13
Therefore, the value of w is 13.
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Word problem with multiple decimal operations
Maria sells beaded necklaces. Each large necklace sells for $4.50 and each small necklace sells for $3.90. How much will she
earn from selling 1 large necklace and 4 small necklaces?
Answer: $20.10
Step-by-step explanation: If you multiply 3.90 by 4 and add 4.50 you get 20.10
Answer:
!20.1
Step-by-step explanation:
I got here by multiplying $3.90 by four and adding $4.50. This equals $20.1
Hence the answer is: She will earn $20.1
Brainliest Please
What is 71 degree F in C?
71 degrees Fahrenheit is equal to approximately 21.7 degrees Celsius using the conversion method formula.
To convert Fahrenheit to Celsius, you can use the following formula:
Celsius = (Fahrenheit - 32) x 5/9
Plugging in 71 degrees Fahrenheit, we get:
Celsius = (71 - 32) x 5/9
Celsius = 39 x 5/9
Celsius = 195/9
Celsius ≈ 21.7
Therefore, 71 degrees Fahrenheit is approximately 21.7 degrees Celsius.
The Celsius scale is also known as the centigrade scale, because it is divided into 100 degrees between the freezing and boiling points of water at standard atmospheric pressure.
On the Fahrenheit scale, there are 180 degrees between the freezing and boiling points of water. Therefore, each degree on the Fahrenheit scale is equivalent to 5/9 of a degree on the Celsius scale.
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Select "Rational" or "Irrational" to classify each number.
2/3
π
400−−−
√36/2
The answer is:
2/3 - Rationalπ - Irrational400−−− - Rational√36/2 - RationalBecause it can be written as the ratio of two integers, 2/3 is a rational number (2 and 3).Since it has an unlimited number of non-repeating decimals after the decimal point and cannot be written as a finite or repeating decimal, is an irrational number.400 can be written as a ratio of two integers, making it a rational number (400 and 1).Because it reduces to 3, which is a ratio of two integers, 36/2 is a rational number (3 and 1). So, 36/2 makes sense.To know more about Rational and Irrational visit:
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What is Van t Hoff law explain?
Van 't Hoff's law, also known as the law of osmotic pressure, states that the magnitude of the osmotic pressure is directly proportional to the concentration of solute particles in a solution at a given temperature.
Van 't Hoff's law is an important concept in chemistry and thermodynamics. It explains the relationship between osmotic pressure and the concentration of solute particles in a solution. According to the law, the osmotic pressure of a solution is directly proportional to the number of solute particles in the solution, regardless of the type of solute. This means that if the concentration of solute particles in a solution increases, the osmotic pressure also increases, and vice versa. This law has numerous applications, particularly in the field of biology, where it is used to explain the movement of water and nutrients in and out of cells. For example, when a plant cell is placed in a hypertonic solution, water moves out of the cell, causing it to shrink. On the other hand, when a plant cell is placed in a hypotonic solution, water moves into the cell, causing it to expand. Understanding Van 't Hoff's law is therefore critical in many fields of science, particularly in biology, chemistry, and chemical engineering.
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Gina is making a square tablecloth. How much fabric does she need?
Answer:
Step-by-step explanation:
You need the area.
If this is a square - it is 54 × 54 = 2916 inches squared
2) The school that Imani goes to is selling tickets to the annual dance competition. On the first day
of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $252.
The school took in $98 on the second day by selling 6 senior citizen tickets and 1 student ticket.
What is the price each of one senior citizen ticket and one student ticket?
The price of each ticket is given as follows:
Senior: $14.Student: $14.How to obtain the prices?The prices for each type of ticket are obtained via a system of equations, for which the variables are given as follows:
Variable x: price of a senior ticket.Variable y: price of a student ticket.On the first day of ticket sales the school sold 12 senior citizen tickets and 6 student tickets for a total of $252, hence:
12x + 6y = 252
2x + y = 42 (simplifying by 6).
y = 42 - 2x.
The school took in $98 on the second day by selling 6 senior citizen tickets and 1 student ticket, hence:
6x + y = 98
y = 98 - 6x.
Equaling the two equations, the value of x is obtained as follows:
42 - 2x = 98 - 6x
4x = 56
x = 56/4
x = 14.
Then the value of y is of:
y = 98 - 6(14)
y = 14.
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The _______ of a probability experiment is the collection of all possible outcomes. a. outcome b. sample space c. event d. unusual event e. experiment
Answer:B.Sample space
Step-by-step explanation:
Find the coordinates of the centroid of the triangle with the vertices s(2, 5), t(6, 5), and r(10, 0).
The centroid of this triangle is located at the point (6, 3).
The centroid of a triangle is the point where the three medians of a triangle intersect. Medians are the line segments that connect each vertex of the triangle to the midpoint of the opposite side.
The centroid is the "center of mass" or the "balance point" of the triangle. In other words, if the triangle were made of a solid material and suspended by a string attached to the centroid, it would balance.
To find the coordinates of the centroid of a triangle, we will use the following formula:
G = (x1 + x2 + x3)/3, (y1 + y2 + y3)/3
Where G is the centroid, and (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the triangle's vertices.
So for the triangle with the vertices s(2, 5), t(6, 5), and r(10, 0), we have:
G = (2 + 6 + 10)/3, (5 + 5 + 0)/3
G = (18/3, 10/3)
G = (6, 3.333...), which we can round to (6, 3)
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A process in which a number is changed, such as by adding, subtracting, dividing, or multiplying.A. operation.B. smart.C. super cool.
Arithmetic operations consists primarily of operations such as addition, subtraction, multiplication, and division. So the option A is correct.
The process of adding things together is known as addition. The '+' sign represents the addition process. It entails combining two or more numbers into a single expression.
The difference between two numbers is calculated using the subtraction operation. The '-' sign represents subtraction. It is nearly identical to addition, but it is the conjugate of the second term.
Multiplication is also referred to as repeated addition. It is indicated by " or '*'. It can also be combined with two or more values to produce a single value.
Division is the inverse of multiplication and is usually denoted by ". It is made up of two terms, dividend and divisor, and the dividend is divided by the divisor to yield a single term value.
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what is the value of 10 ml in teaspoon?
10 ml is equal to 2 teaspoons. This is because 1 teaspoon is equal to 5 ml. To calculate the number of teaspoons in 10 ml, you must divide 10 ml by 5 ml. 10 ml divided by 5 ml equals 2 teaspoons.
To convert milliliters to teaspoons, you must use the conversion factor of 1 teaspoon = 5 ml. This means that for every 1 teaspoon, there are 5 milliliters. To figure out the number of teaspoons in 10 ml, you must take 10 ml and divide it by 5 ml. This will give you the number of teaspoons in 10 ml.When converting from milliliters to teaspoons, it is important to use the correct conversion factor. If you use the wrong conversion factor, you will end up with incorrect results. For example, if you use 1 teaspoon = 4 ml instead of 1 teaspoon = 5 ml, you will end up with an incorrect result.In addition to using the conversion factor, it is also important to keep in mind that a teaspoon is a measure of volume, not weight. This means that the amount of liquid in a teaspoon may vary depending on the density of the liquid. For example, a teaspoon of water will contain more liquid than a teaspoon of honey.
In conclusion, 10 ml is equal to 2 teaspoons. To convert milliliters to teaspoons, you must use the conversion factor of 1 teaspoon = 5 ml. It is important to remember that a teaspoon is a measure of volume, not weight, and the amount of liquid in a teaspoon may vary depending on the density of the liquid.
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Preview
-116. Solve the following systems of equations using any method (graphing, elimination, substitution). Check each
solution, if possible.
a. - 2x + 3y = 1
2x+6y= 2
c. 3x - y = 7
y = 3x - 2
b. y = x + 4
x = -3y
d. x + 2y = 1
3x + 5y = 8
The equations are solved using graphing, elimination, substitution methods.
What is system of equation?A system of equations are the set of equations where the solution for these equations are the intersecting point between the equations.
The systems of equations are given below are given below,
(a) -2x + 3y = 1(using elimination method)
2x+6y= 2
eliminating x term we get,
9y = 3
⇒y=3.
(b) y = x + 4 ---(1)(using substitution method)
x = -3y---(2)
Substitute (2) in (1) we get,
y = -3y+4
⇒4y=4 ⇒y=1
(c) 3x - y = 7 (using graphing method)
y = 3x - 2
This system has no intersection point
So this system has no solution.
( The graph is attached below.)
(d) x + 2y = 1-----(1) (using elimination method)
3x + 5y = 8-----(2)
For eliminating x we have to the multiply equation(1) by 3,
we get 3x+6y=3
eliminating 3x we get, y=-5/3 substitute y in (1) we get x=49 /3
Hence, the equations are solved using graphing, elimination, substitution methods.
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|
(3v 8w+19)+ (6w-6)
Answer:
3v + 14w + 13
Step-by-step explanation:
The expression can be simplified as follows:
(3v + 8w + 19) + (6w - 6)
Combining like terms, we have:
(8w + 6w) and (19 - 6)
3v + 14w + 13
So the simplified expression is equal to 3v + 14w + 13.
Six pizzas were shared among 8 groups of children. Each child got 3/8 of a pizza. How many children were there in the group?.
There are 24 children in the group.
To divide something into equal groups or to determine how many equal groups there are, use the division procedure. When equal groups are combined to find a total in multiplication, division is the opposite process.
If 6 pizzas were shared among 8 groups of children, each group would receive 6/8 = 3/4 of a pizza.
If each child got 3/8 of a pizza, then in a group of children each group would have 8 * 3/8 = 3 children.
Therefore, in total, there were 8 * 3 = 24 children.
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What is the value of 45 out of 50 percent?
Answer:
22.5%
Step-by-step explanation:
45×50/100 gives you the answer using BODMAS
a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints. True/False?
The statement "a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints." is True because a line segment is defined as a part of a line that is bounded by two distinct end points and contains all the points on the line between those endpoints.
A line segment is a part of a line that has two endpoints and connects them. It is the shortest distance between two points and has a definite length, but no width or height. A line segment can be part of a straight line or a curved line.
A line segment is a section of a line that is defined by two distinct end points and includes every point on the line between them. It is the basic building block of geometry and can be used to measure distances, angles, and shapes.
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Write an equation for the table.
Pls help!
Answer:
Step-by-step explanation:
its 3.02
what is 18% of 45 help please
Answer:
8.1
Step-by-step explanation:
100%= 45
1%= 45÷100
= 0.45
18%= 0.45×18
= 8.1
hi guys can u guys answer this question
Answer:
a= 77, b= 77, c= 103.
Step-by-step explanation:
a= 77 (vertically opposite)
b= a= 77 (corresponding angles)
c= 180-77
= 103 (angles on a straight line)
sams monthly gross income is 6000$ if sams federal tax rate is 10.5% and his state tax rate is 4.25%
A)how much money does sam bring home annually
B)How much social security tax does Sam pay monthly
C)How much Medicare tax does Sam pay annually
Please somebody help me
Using mathematical operators, the value of the expression is 23
What is simplification of expressionSimplification of an expression is the process of reducing a mathematical expression to its simplest form while retaining the same value. This is done by using various rules and techniques, such as combining like terms, using the distributive property, and applying the order of operations.
The goal of simplification is to make the expression easier to work with and understand. It also helps to avoid errors when solving problems or simplifying more complex expressions.
In this expression given;
3(x + 2y) - 2x + 10 = ?
x = 1, y = 2
3(1 + 2(2)) - 2(1) + 10 = 23
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Which equation represents the graph?(picture below)
1. Y= - 3/2 x + 5
2. Y= - 2/3 x + 3
3. Y= 2/3 x - 3
4. Y= 3/2 x - 5
an object has a mass of 8.1kg what is its weight
The weight of the object is 79.461 newtons.
How to determine the weightThe standard value for the acceleration due to gravity is approximately 9.81 m/s^2 near the Earth's surface.
To find the weight of an object with a mass of 8.1 kg, we can use the formula:
Weight = mass x acceleration due to gravity
So, the weight of the object is:
Weight = 8.1 kg x 9.81 m/s^2
Weight = 79.461 N (newtons)
Hence, the weight is 79.461 newtons.
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Help please I’m stuck on a question and I’d greatly appreciate it
The value of the missing part of triangle DFC which is FD would be = 12.
How to calculate the missing part of the triangle?Triangle ACD is congruent to triangle DFC
ED/AD = BC/AC
where;
ED = 9
AD = 15
BC= 12
AC=?
Make AC the subject of formula;
AC= 12×15/9
AC= 180/9
AC = 20
Using the adjacent values of the new and original sides of the triangle to calculate the scale factor.
That is ;
AD is congruent to FC = 15 = 9
But Scale factor = Dimension of the new shape ÷ Dimension of the original shape
Scale factor = 15/9= 1.67
To calculate FD using the scale factor;
1.67= 20/FD
FD= 20/1.67
FD= 12 (approximately)
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By proportion formulas and Pythagorean theorem, the length of side FD is approximately equal to 26.571.
How to determine the lengths of missing sides in a geometric system
Herein we find a geometric system formed by two similar right triangles (ΔABE, ΔACD) and a third distinct right triangle (ΔCDF). Two triangles are similar when both have congruent interior angles and sides that are not congruent though proportional.
Then, the system of similar triangles can be defined by following proportion formula:
AB / AE = AC / AD
x / 6 = (x + 12) / 15
15 · x = 6 · (x + 12)
15 · x = 6 · x + 72
9 · x = 72
x = 8
AB = 8
Now we determine the length of side CD by Pythagorean theorem:
CD = √(AC² - AD²)
CD = √[(x + 12)² + 15²]
CD = √(20² + 15²)
CD = 25
And the side FD is finally found by Pythagorean theorem:
FD = √(CD² + CF²)
FD = √(25² + 9²)
FD = √706
FD ≈ 26.571
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Calculate the value of each expression. (-8) x 2/3. (-8) x (-2/3). -18/3. 18/(-3). (-18)/(-3)
The values of the given expressions are respectively, -5.33, 5.33, -6, -6, 6
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Here are the calculations for each expression:
1. (-8) x 2/3
= (-8) x 2/3
= -16/3
= -5.33
2. (-8) x (-2/3)
= (-8) x (-2/3)
= 16/3
= 5.33
3. -18/3 = -6
4. 18/(-3) = -6
5. (-18)/(-3) = 18/3
= 6
So, the values of each expression are -5.33..., 5.33..., -6, -6, and 6, respectively.
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