How do you remember commutative and associative property?
The commutative property of addition states that a + b = b + a and the commutative property of multiplication states that a × b = b × a and the associative property of addition states that (a + b) + c = a + (b + c) and the associative property of multiplication states that: (a × b) × c = a × (b × c).
Commutative Property - The Commutative Property is derived from the word commute, which means to move. It states that the product or sum of two numbers do not change even if the places of numbers are changed or if the numbers move from one place to another. The commutative property of addition states that a + b = b + a and the commutative property of multiplication states that a × b = b × a.
Associative Property - It is related with the grouping of numbers. It states that the product or sum of three numbers do not change even if the grouping of numbers are changed. The associative property of addition states that (a + b) + c = a + (b + c) and the associative property of multiplication states that: (a × b) × c = a × (b × c).
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what is the partial-fraction expansion of the rational function f(s)=7s2+30s+27s3+9s?
The partial fraction expansion of the rational function
f(s) = 7s²+30s+27s/3+9s is 7s/9 - 164/81s + 27 + 164/27
In math the term partial fraction is defined as a method that is used to split the complicated fraction into a simpler form.
Here we have given the rational function f(s) = 7s²+30s+27s/3+9s.
And we have to find the partial fraction expansion for the function.
While we looking into the given rational function, for the given function we have to perform the partial fraction decomposition of
=> f(s) = 7s²+30s+27s/3+9s.
And it can be simplified as,
=> f(s) = 7s²+57s/3+9s.
Take s as common on the numerator, then we get
=> f(s) = s(7s + 57) / 3 + 9s
Since the degree of the numerator is not less than degree of the denominator, perform synthetic division, then we get the result as
=> f(s) = 7s/9 + 164/27 + [-164/9]/9s + 3
When we further simplify this expression, then we get,
=> f(s) = 7s/9 + 164/27 - 164/81s + 27
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Where accurate measurement is necessary?
While measuring mass of precious substances, such as gold, silver, etc., we need to be accurate in our measurement. in competitions and events, a difference of second can make you lose or win the game. Thus, accurate time measurement in such cases is very important.
Precision measures the reproducibility of measurements, even when they are far from the acceptable value, whereas accuracy measures how near a measurement is to a known or accepted value. Repeatable measurements that are reliable and precise are extremely near to the real values.
How closely a measured value resembles the real (or "true") value is referred to as accuracy. For instance, an accurate reading for the weight would be as near to 100g as feasible if you weighed a typical 100g weight on a scale.
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is the integer r divisible by 3 ? (1) r is the product of 4 consecutive positive integers. (2) r < 25
Yes, the integer is divisible by 3.
To determine if r is divisible by 3, we must first determine the value of r. According to statement 1, r is the product of 4 consecutive positive integers.
This means that the 4 integers must be increasing by 1 each time. The smallest integer must be 1, and the 4th integer must be 4 higher than the first, making it 5.
The product of these 4 integers is 1 x 2 x 3 x 4 = 24, which is less than 25.
Since 24 is divisible by 3, r is also divisible by 3.
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What are the median of 5 7 10 12 11?
The Median of the following observation set 5 7 10 12 11 will be 10.
One measure of central tendency is the median. The median is the number that lies in the middle of the specified range of integers. It separates the higher half from the lower half of a particular data sample. At least half of the observations are above or equal to the median, and at least half of the observations are below the median.
The median can be calculated as follows when there are odd numbers of observations in a data collection:
First, arrange the data in ascending or descending order.
Step 2: If the number of observations (let's say n) is odd, the middle observation is the median of the given data.
Median = [tex](\frac{n+1}{2} )^{th}[/tex] Observation.
Here n = 5, So median will be 3rd term that is 10.
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Does (7, –5) make the equation y = x + –2 true?
Answer:
no
Step-by-step explanation:
-5 = 7 + -2
7 + -2 = 5
no
Answer:
No
Step-by-step explanation:
7,-5 is not a point on the line
-5, -7 is on the line
What are the roots of quadratic equation x 5 )( x 2 )= 0 *?
The roots of the quadratic equation x^5 - x^2 = 0 are x = 0 and x = ±√2, which can be found by factoring and setting each factor equal to 0. The quadratic can be factored into (x^2)(x^3 - 1) = 0 and then the factors can be set equal to 0, resulting in x = 0 and x = ±√2.
To find the roots of the quadratic equation x^5 - x^2 = 0, first we must factor the equation. To do this, we can recognize that there are two terms, x^5 and x^2, and that the exponents are both greater than 1, so we can factor out an x^2 from both terms. When we do this, we get (x^2)(x^3 - 1) = 0. Now we can set each factor equal to 0, so that x^2 = 0 and x^3 - 1 = 0. Solving for x in the first equation, we get x = 0. To solve for x in the second equation, we can add 1 to both sides, so that x^3 = 1. Taking the cube root of both sides, we get x = ±√2. Therefore, the roots of the quadratic equation x^5 - x^2 = 0 are x = 0 and x = ±√2.
x^5 - x^2 = 0
x^2(x^3 - 1) = 0
x^2 = 0 → x = 0
x^3 - 1 = 0 → x^3 = 1 → x = ±√2
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endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hr. and a standard deviation of 40 hr. what is the probability that an endure all battery selected at random will last more than 550 hours? a) exam image b) exam image c) exam image d) exam image e) exam image f) none of the above.
Therefore , the probability that an endure all battery selected at random will last more than 550 hours is 0.0301.
What is the process of probability?Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range. If an event has a probability of 1, it is very certain to occur; if it has a probability of 0, it has no chance of occurring. There are 45 chances out of 100 that an event will occur when its probability is 0.45 (45%).
Here,
let say this variable is X.
so we have to find P(X>575)
=> P((X-500)/40 > 1.88)
=> P(Z>1.88)
=> 1 - P(Z<1.88) = 0.0301
Therefore , the probability that an endure all battery selected at random will last more than 550 hours is 0.0301.
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What are the actual parameters in C++ Mcq?
Actual parameters are those that are supplied into a function when it is called or those that are used to make a function call.
Using parameters, subprograms pass information. The variables or expressions listed in a subprogram call's parameter list are the real parameters.
For instance, the procedure call that follows lists the two real parameters amount and emp num:
raise_salary(emp_num, amount);
The parameters that are used when calling a function at any point in the code are the actual parameters. It is the real value that a caller has given the process. When a subroutine like Functions is invited, the parameters are what you decide.
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The area of a right triangle is 44 m². Find the lengths of its legs if one of the legs is 3 m longer than the other.
Answer:
[tex]Lengths:8m and 11m[/tex]
Step-by-step explanation:
Area of a triangle is [tex]\frac{1}{2}bh[/tex]
[tex]44=\frac{1}{2} (x+3)(x)\\[/tex]
[tex]44=\frac{1}{2} (x_{2 +3x)[/tex]
[tex]88=x^{2} +3x[/tex]
[tex]x^{2} +3x-88=0[/tex]
[tex](x+11)(x-8)=0[/tex]
[tex]x=8[/tex]
[tex]Lengths:8m and 11m[/tex]
What is the value of the following expression 20 19 − 5 7?
The value of the expression after simplification is found as 415.
What is meant by the term simplification?To simplify simple means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler.
Calculations and problem-solving techniques simplify the issue.
We can —
By eliminating all common elements from the numerator and denominator and putting the fraction through its simplest/lowest form, fractions can be made simpler.By combining and grouping like terms, mathematical expressions can be made simpler. This makes the phrase simple to comprehend and to solve.The given expression is-
= 20 x 19 + 5 x 7
Applying the BODMAS, multiply the numbers.
= 380 + 35
Add the values,
= 415
Thus, the value of the expression after simplification is found as 415.
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The correct question is-
What is the value of the following expression 20 x 19 + 5 x 7?
Juan Vance Weekly salary: $231.67
Not self-employed
Find the annual amount of FICA at 7.51% by computing his annual salary
The annual income of Juan Vance is $12,955.17.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
In order to pay for Social Security and Medicare, the Federal Insurance Contributions Act(FICA) mandates payroll deductions from both employers and employees.
Given, Juan Vance's Weekly salary is $231.67.
∴ Annually Juan earns $(52×231.67) = $12,046.84.
FICA deducts 7.51% from it and then combines another 7.51% with the employee,
∴ The net annual income of Juan Vence is
= [{12046.84 - (7.51/100)×12046.84 + {(7.51 + 7.51)/100}×12046.84}]
= (12046.84 - 904.71 + 1813.04}.
= $12,955.17
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How do you graph a linear inequality steps?
The steps to graph the linear inequality is shown. (Refer to the steps below)
What is linear inequality?A linear inequality in mathematics is an inequality involving a linear function.
One of the symbols for inequality is found in linear inequality.
It displays non-equal data in graph style.
These steps will be used to graphically solve a set of linear inequalities:
1. Find y's inequality solution.
2. Represent the inequality as a linear equation and, depending on the inequality sign, graph the line as either a solid line or a dashed line.
3. Darken the area when the inequality is satisfied.
4. For every disparity, repeat steps 1 through 3.
5. The region where all of the inequalities intersect will be the solution set.
Therefore, steps to graph the linear inequality is shown.
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5. For each scenario, fill in numbers in the blanks to create a scenario that
can be solved using a system of equations. Make sure the scenario that you
provide has ONE solution. Then, answer the questions that follow.
Scenario 1
There are
some are cows. There are
total animals in the barn. Some of the animals are chickens and
legs in all.
a. What is the system of equations that represents the scenario you created?
B. Prove your solution is correct.
The scenario in this problem is described as follows:
There are 50 total animals in the barn, and there are 160 legs in total.
The system of equations that describes this situation is given as follows:
x + y = 50.4x + 2y = 160.What is the system of equations that describes this scenario?The variables that describe the system of equations are given as follows;
Variable x: number of cows in the barn.Variable y: number of chickens in the barn.There are 50 total animals in the barn, hence:
x + y = 50.
There are 160 legs in total. Considering that each cow has four legs, while each chicken has two legs, we have that:
4x + 2y = 160.
The system of equations is composed by these two equations and can be solved using any method to identify the amounts of each animal.
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the ratio of milk to water in a mixture is 12:5.if there is 144liters of waterinth mixture. find d amount of milk
The ratio of milk to water in the mixture is 12:5, which means that for every 12 parts of milk, there are 5 parts of water. We can set up a proportion to solve for the amount of milk in the mixture. Let's call the amount of milk x.Then the proportion is:(12 parts milk) / (5 parts water) = (x liters milk) / (144 liters water)To solve for x, we can cross-multiply and simplify:12x = 5 * 144
x = (5 * 144) / 12
x = 60 litersThus, the amount of milk in the mixture is 60 liters.
According to the question,
ratio amount of water : milk is 5:12
given amount of water in the mixture is 144 litre,
then we have to find the value of x,
as given, 12x=144
x=144/12
x=12
or, 5(12) = 60litre.
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Is there a calculator that solves algebra?
Answer:
yes
Step-by-step explanation:
do you want names for online ones
please show how to simplify 3x +7x −28+31−8x for x =2043 and show how to solve
Answer:
4091
Step-by-step explanation:
Given the equation;
3x + 7x − 28 + 31 − 8x
First, we would collect like terms;
3x + 7x − 8x − 28 + 31
Simplifying, we have;
For x = 2043;
2(2043) + 5 = 4086 + 5 = 4091.
i have a pie. if i give two pieces to joe, one piece to mary, and another piece to joe, how many pieces of pie does joe have?
Answer: 3 pieces of pie
Step-by-step explanation:
You gave Joe two pieces at first, then you gave joe another piece of pie
2 + 1 = 3 pieces of pie
What are the three primary kinds of parameters Mcq?
The three primary kinds of parameters are Input parameters, Output parameters, and Input/Output parameters.
One of the bits of data supplied as input to a function is referred to by a parameter, a special sort of variable. These bits of information represent the values of the arguments that will be used to call or invoke the function. Functions may have one or more parameters or none at all.
A function is typically defined with an ordered list of parameters so that each time it is called, the arguments are evaluated for that call and the results can be assigned to the associated parameters.
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How do you solve inverse ratios and proportions?
Assuming that x and y be inversely proportionate, we can denote their relationship as x ∝1/y. It follows that as the value of x rises, the value of y falls, and vice versa.
Define the term inverse ratios and proportions?When the product of two values, x and y, is a constant, they remain inversely proportional to one another (always remains the same). Accordingly, as x rises, y falls, and conversely, by a certain amount so that x and y remain constant.Making an equation to determine the value of a new variable is also made possible by understanding that product does not change.We must first establish the connection between the two variables in order to calculate the value of the variable that's also inversely proportionate to the other.We need to figure out the proportionality constant k, which is similar to the a directly proportional connection.
Thus, x ∝1/y
x = k/y
k = xy.
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After you both have bought some items you decide its time for some candy at the candy store. you decide to buy 5 and 1/2 pounds of jelly beans your friend suggests that you share your jelly beans with your other friends tomorrow. you decide to give each friend 1/4 of a pound. how many friends can you share your jelly beans with? set up an expression to find the number of friends you can share it with____.
5 and 1/2 pounds of jelly beans can be shared with 22 friends.
The process of converting phrases into equations and then solving those equations is known as solving algebraic word problems. Simple arithmetic procedures will be all that is required to write the equations. a single variable, and. In a real-world situation, the variable often stands for an unknowable quantity.
Given that,
Total pounds of jelly beans = five and a half pounds
Jelly beans to be given to each friend = 1/4 of a pound
Let x be the number of friends,
x = 5 and 1/2 pounds / 1/4 of a pound
Since 1 pound = 1/4 * 4
then, 5 and 1/2 pounds = 4*5 + 2 = 22
Therefore, 5 and 1/2 pounds of jelly beans can be shared with 22 friends.
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Given that,
Total pounds of jelly beans = five and a half pounds
Jelly beans to be given to each friend = 1/4 of a pound
Let x be the number of friends,
x = 5 and 1/2 pounds / 1/4 of a pound
Since 1 pound = 1/4 * 4
then, 5 and 1/2 pounds = 4*5 + 2 = 22
Therefore, 5 and 1/2 pounds of jelly beans can be shared with 22 friends.
What does fit () do?
When using supervised learning, the fit() technique requires two arrays of training data, but unsupervised learning only requires one array.
What does fit () do in regression?After the model is initialised, the "fit" method runs the algorithm on the training data. That is all it does, in essence. Thus, the machine learning model is trained using the training data by the sklearn fit approach. In the manufacturing industry, the term "form-fit-function" (FFF) refers to a part's distinguishing features (a single component that goes into the final build of your product, typically kept on an item master).
model.fit(): fit practise data This accepts the data X and the labels y as two arguments for supervised learning applications (e.g., model. fit(X, y)). Function at Cost. The cost function for linear regression is the Sum of Squares of Errors with the lowest value. Calculate the squared error sum for each and every available line.
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What is division example?
Answer:
42 divided by 2
Step-by-step explanation:
42 divided by 2 equals 21 and how to find if it is correct is to add it together 21+21 or multiply it by what it was divided by 21x2
What are the 4 types of values?
Thousands, hundreds, tens and ones are four types of values and there are many more.
What is value?Value in mathematics is a number that represents the outcome of a computation or function. In the aforementioned example, you may inform your teacher that 5 + 6 Equals 30 or that x + y = 9 if x = 6 and y = 3. A variable or constant can also be referred to as a value.
What is the value of 4?The number 4 is in this case in the tens column. As a result, the place value of the number four is tens or tens.
Thousands, hundreds ,tens and ones are four types of values and there are many more like ones etc. Moreover after solving any problem for unknown variable the resulting numerical solution can also be termed as value.
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pls help me and explain how to do this
The slope of the line is -3/4.
What is a line?
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.
The points on the line are (-4, 5), (0,2), (4, -1).
The slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).
The slope of the line is
(2 - 5)/(0 - (-4)) = -3/4
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What is the formula for finding the circumcenter of a triangle?
Answer:
P(X, Y) = [(x1 sin 2A + x2 sin 2B + x3 sin 2C)/ (sin 2A + sin 2B + sin 2C), (y1 sin 2A + y2 sin 2B + y3 sin 2C)/ (sin 2A + sin 2B + sin 2C)]
Step-by-step explanation:
How to Construct Circumcenter of a Triangle?
The circumcenter of any triangle can be constructed by drawing the perpendicular bisector of any of the two sides of that triangle. The steps to construct the circumcenter are:
Step 1: Draw the perpendicular bisector of any two sides of the given triangle.
Step 2: Using a ruler, extend the perpendicular bisectors until they intersect each other.
Step 3: Mark the intersecting point as P which will be the circumcenter of the triangle. It should be noted that, even the bisector of the third side will also intersect at P.
Are AAA triangles solvable?
Yes, they are solvable.
In geometry, a triangle is considered to be an "AAA" triangle (or "AAA similarity") if all three of its angles are equal. Such a triangle is also known as an equilateral triangle.
An equilateral triangle is a type of triangle that has all three sides of equal length and all three angles of equal measure (60 degrees). It is a regular polygon, and it is one of the few geometric shapes that has this property.
Because all three angles in an equilateral triangle are equal, it is relatively easy to solve for various properties of the triangle. For example, the length of each side can be found if the measure of one angle and the length of one side are known. Similarly, the measure of an angle can be found if the length of one side and the measure of one angle are known.
In summary, AAA triangles are solvable because they have a consistent and predictable structure, with all sides and angles being equal.
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Find the area of the shape 1/4 circle 8 radius
Answer:
16 pi
Step-by-step explanation:
Area of a circle is pi*radius^2. In this case, the area of the full circle would be pi*8^2 which is 64pi. The area of a quarter circle would be one fourth of that, so 16pi
If x² + 6x = 40, what are the values of x-6?
Answer:
-2
Step-by-step explanation:
x² + 6x = 40
This equation has the value of x as 4
Let's test
(4)^2 + 6(4) = 40
16 + 24 = 40
So, x is 4 in this equation
Now for the question, what is the value of x-6
We know x is 4
4 - 6 = -2
How old is a 12th grader?
Frequently between the ages of 17 and 18, students. Seniors are students in the twelfth grade. The 12th grade, or senior year of high school, is frequently considered by students.
what do you mean grader ?Exams, projects, and academic assignments are evaluated by graders, who also issue grades. They create test materials, quizzes, and other things. They develop or implement the grading criteria and system. Either hand grading or the usage of an electronic evaluation and grading application are options for them.
here ,
Students are typically between the ages of 17 and 18. Seniors are the term for students in the twelfth grade.
Twelveth grade, or senior year of high school, is often seen by students as a time to unwind and get ready to leave their old lives behind and enter either college or the workforce.
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