Let x be a rational number and y be an irrational number. This is the correct choice.
Allow xy=a.
Suppose an is a rational being.
A can be stated as q p since it is rational, where p and q are both integers.
Let x = n m, where n and m are both integers.
Then, xy=a
n \smy \s \s = \sq \sp \s \s .
When we cross multiply, we obtain,
⇒y= qm \spn \s \s .
Pn and qm are currently integers.
Consequently, qm pn is a rational number.
Y, however, is illogical.
Consequently, our assumption is unfounded.
Therefore, an irrational number is always the result of adding a non-zero rational number to an irrational number.
What do you mean by irrational number ?a number that cannot be written as the quotient of two integers and cannot be expressed as an infinite decimal with a series of consecutive digits repeating itself forever.
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what is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex q is on ordered pair 1 and 6, and the vertex r is on ordered pair 4 and 2.
The area of triangle par on the grid is the vertex p is on ordered pair 7 and 6.
What is vertex?Soccer on CBS Sports is various TV programs that have broadcasted soccer matches in the US on CBS, CBS Sports Organization, and Paramount+. These matches are from Global, European, and American contests. Affiliation football, all the more usually known as just football or soccer, is a group activity played between two groups of 11 players who essentially utilize their feet to impel the ball around a rectangular field called a pitch. Soccer, or football as it's known beyond North America, is the most famous game on the planet. Thus, how could it be played, who plays it, and a lot more inquiries are responded to here.
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Find the slope and reduce.
P=(-2, 3) Q=(8, 3)
A
Slope = [ ?]
Hi!
Use the Slope Formula:
[tex]\begin{gathered}\\\bullet\implies\boldsymbol{\displaystyle\frac{y_2-y_1}{x_2-x_1}} \\\\\boldsymbol{Setting\:the\:Values}\\\bullet \boldsymbol{y_2=3}\\\bullet\boldsymbol{x_2=8}\\\bullet\boldsymbol{y_1=3}\\\bullet\boldsymbol{x_1=-2}\\\\\boldsymbol{Solving\:for\:the\:slope}\\\boldsymbol{\displaystyle\frac{3-3}{8-(-2)}}\\\boldsymbol{\dfrac{0}{8+2}}\\\boldsymbol{Slope\longrightarrow0}\end{gathered}[/tex]
I hope I helped! ^^
What value of x cannot be evaluated in the function r(x)?
Quadrilateral a has side lengths 2,3,5 and 6. quadrilateral b has single length 4,5,8 and 10 could one of the quadrilateral be a scale copy of the other
Quadrilateral b, is not a scaled copy of Quadrilateral a.
The side length of Quadrilateral a=2,3,5, and 6.
The side length of Quadrilateral b=4,5,8 and 10
Now comparing the Ratio of the Corresponding Sides of two quadrilaterals a and b
2/4 ≠ 5/8
3/5 ≠ 6/10
Since the ratio of corresponding opposite sides is not equal. The two Quadrilateral are Not Similar.
So, We can say that Quadrilateral b, is not a scaled copy of Quadrilateral a.
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a host served two pies, one apple and one cherry. dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie. in all, what fraction of the total pies remained? a 23/20 b 3/4 c 23/40 d 3/5
The fraction of the total pies remained is option (A) 23/20 is the correct answer.
In this question,
A host served two pies, one apple and one cherry.
Dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie.
Apple pie = 25%
∴ Remaining = 100% - 25%
⇒ 75%
⇒ Fraction of apple pie remained is 3/4
Cherry pie = 60%
∴ Remaining = 100% - 60%
⇒ 40%
⇒ Fraction of cherry pie remained is 2/5
Thus fraction of the total pies remained is
⇒ 3/4 + 2/5
⇒ (15+8) / 20
⇒ 23/20
Hence we can conclude that the fraction of the total pies remained is option (A) 23/20 is the correct answer.
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this is very important... its for alegbra.. please help
Answer in decimal form = -0.2
Answer as a fraction = -1/5
=========================================================
Explanation:
The term "rate of change" is the same as "slope" for linear equations.
Use the slope formula to get the steps shown below.
[tex](x_1, y_1) = (-3, 3.6) \text{ and } (x_2, y_2) = (5, 2)\\\\m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{2-3.6}{5-(-3)}\\\\m = \frac{2-3.6}{5+3}\\\\m = \frac{-1.6}{8}\\\\m = \frac{-16}{80}\\\\m = -\frac{1}{5}\\\\m = -0.2\\\\[/tex]
The decimal value is exact without any rounding done to it.
A slope of -1/5 means we go down 1 unit and to the right 5 units.
slope = rise/run = -1/5
rise = -1 = go down 1
run = 5 = go to the right 5
What is the value of this expression?
40÷[24−4×(2+3)]
Answer:
10
Step-by-step explanation:
hope it helps
Answer:
10
Step-by-step explanation:
ya its right
Which sum or difference is modeled by the algebra tiles
Answer:
The answer is C
Step-by-step explanation:
First there are 2x first then there are other x's then two 1 equals 2
x+1= 10
Please step by step
Pre algebra
Answer: x=9
Step-by-step explanation:
x+1= 10
x-1+1=10-1
x=10-1
x=9
if 1/3 of a gallon of paint covers 1/8 of a wall, how much paint is needed to cover the entire wall?
Answer:
8/3 or 2 2/3 gallons
Step-by-step explanation:
1/3 of gallon covers 1/8 of a wall, therefore, the amount of pain is needed to cover the entire wall is 1/3 x 8 = 8/3 or 2 2/3 gallons
Which is equivalent to 3^√8*?
Answer:
C (8 to the x/3 power)
Which inequality is equivalent to -10 (x - 1) <13?
The inequality that is equivalent to the given inequality is -10x + 10 < 13
From the question, we are to determine the inequality that is equivalent to the given inequality
The given inequality is -10(x - 1) < 13
To determine the inequality that is equivalent to this inequality, we will solve the given inequality
Solving the inequality
-10(x - 1) < 13
Apply the distributive property
-10x + 10 < 13
Subtract 10 from both sides of the inequality
-10x + 10 - 10 < 13 - 10
-10x < 3
Divide both sides by -10 and reverse the sign
x > -3/10
From the steps of solving the inequality, the inequality that is equivalent to the given inequality is -10x + 10 < 13
Hence, the inequality that is equivalent to the given inequality is -10x + 10 < 13
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Answer:
C. -10x + 10 < 13
PLEASE HELP URGENTLY
Answer:
A) (4,1)
B) (2,-1)
Question is below
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V
The expression, evaluated to the simplest form is -4
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
(9² + 19)/(10² - 5³)
Simplifying the expression
(9² + 19)/(10² - 5³)
9² = 81
10² = 100
5³ = 125
Thus,
The expression becomes
(81 + 19)/(100 - 125)
= 100/-25
= -4
Hence, the expression, evaluated to the simplest form is -4
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Tanya is 28 years older than Marcus. In 6 years, Tanya will be three times as old as Marcus. How old is Tanya now?
Answer: 36 years old
Step-by-step explanation:
T=Tanya. M=Marcus
T=M+28
T+6=3(M+6)
T+6-6=3(M+6)-6
T=3(M+6)-6
M+28=3(M+6)-6
M+34=3M+18
34=2M+18
2M=16
M=8
T=M+28
T=8+28
T=36 years old
The current age of Tanya is equivalent to 45 years old.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Tanya is 28 years older than Marcus. In 6 years, Tanya will be three times as old as Marcus
Assume the initial age of Tanya is {x} years and that of Marcus is {y} years old. So, we can write -
x = y + 28 ....... Eq[1]
x + 6 = 3y ........ Eq[2]
Using Eq[1] in Eq[2], we get -
y + 28 + 6 = 3y
y + 34 = 3y
2y = 34
y = 17
Than, we can write [x] as -
x = 17 + 28
x = 45
Therefore, the current age of Tanya is equivalent to 45 years old.
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I need help bc I got this one wrong twice lol.
The answer is H, B and C; And Z, K and R
Step-by-step explanation:
H, B and C; And Z, K and R form a straight line
Complete the statement to describe the expression ab + cdab+cda, b, plus, c, d.
The expression consists of
terms, and each term contains
factors
The expression contains FOUR terms, each with TWO factors.
What are expressions?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one mathematical operation. This math operation can be addition, subtraction, multiplication, or division. An expression has the following structure: The expression is (Number/variable, Math Operator, Number/variable).Expression information: In algebra, the word term defined the single numbers(10), variables(y), and the product of the two (10y).
In the following expression: ab+cd+ef+ghThere are four terms:
abcdefghA factor is a component of a product.
For the given equation, we will have four terms, each with two factors.Therefore, the expression contains FOUR terms, each with TWO factors.
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The correct question is given below:
Complete the statement to describe the expression ab+cd+ef+ghab+cd+ef+gha, b, plus, c, d, plus, e, f, plus, g, h. The expression consists of ----- terms, and each term contains ----- factors. Please fill in the blanks!
if you have a table of values like those above and you can find the value for f(n), how would you go about finding the value of f(n-1)? How do f(n) and f(n-1) compare to each other?
Answer:
spam question
Step-by-step explanation:
Answer:
If you have a table of values like those above and you can find the value for f(n) . you go about finding the value of f (n-1)
Step-by-step explanation:
If you have a right triangle with 36 square units. what is the scaled value if you go 2-1 , 3-1?
Answer:
324, 900, 9
Step-by-step explanation:
When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!
Onto the answer, just follow the advice above:
36 * 3^2 = 36 * 9 = 324 square inches,
36 * 5^2 = 36 * 25 = 900 square inches,
36 * 0.5^2 = 36 * 0.25 = 9 square inches.
Hope this helps :)
Vijay's family is leaving for galactic gardens resort once his parents get home from work on friday. their house is 544 miles from the resort. they plan to stop and spend the night at a hotel after 3 hours of driving, then complete the rest of the trip on the second day. if their average speed is 64 miles per hour, how long will they drive on the second day?
The next day they will drive for about 5.5 hours
In given question, Vijay's house is 544 miles from the resort.
after 3 hours of driving, they stop and spend the night at a hotel and then complete the rest of the trip on the second day.
Let in 3 hours of driving, they completed the 'x' miles of distance from their home.
So, they complete the rest of the trip of 544 - x miles on the second day.
Let t be the time in hours they drive on the second day.
Their average speed is 64 miles per hour.
⇒ 64 = [x + (544 - x) ] / [3 + t]
⇒ 64 = 544 / 3 + t
⇒ 64(3 + t) = 544
⇒ 192 + 64t = 544
⇒ 64t = 352
⇒ t = 5.5 hours
Therefore, The next day they will drive for about 5.5 hours
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(-6) over 5 x (-6) over 8
Answer:
(-6 ÷ 5) × (-6 ÷ 8) = 9/10 or 0.9
Step-by-step explanation:
4⁄6 + 2⁄4 + 3⁄5 = answer
Answer: 53/30
Step-by-step explanation:
4/6 + 2/4 + 3/5 =
2/3 + 1/2 + 3/5 = ==> Simplify Denominators
30/30 * (2/3 + 1/2 + 3/5)= ==> Have matching denominators by multiplying by the LCM (Least common multiple) of the denominators
(2*30/3 + 1*30/2 + 3*30/5)/30=
(60/3 + 30/2 + 90/5)/30=
(20 + 15 + 18)/30=
(35 + 18)/30=53/30
what is the final step to be performed in the mathematical expression, (σx)2? group of answer choices square the sum of the scores square each score add the squared scores add the scores
The final step to be performed in the mathematical expression, (Σx)2 is square the sum of the scores
What Is the Sum of Squares?Sum of squares is a statistical method for calculating the dispersion of data points in regression analysis. By deviating the least from the data, the sum of squares can be used to identify the function that fits the data the best. The purpose of a regression analysis is to assess how well a data series can be fitted to a function that could provide insight into the process by which the data series was created. In the world of finance, the sum of squares can be used to calculate the variation in asset values.
A statistical measure of departure from the mean is the sum of squares. Variation is another name for it. The squared differences of each data point are added together to calculate it. The sum of squares is calculated by squaring the separation between each data point and the line of best fit, then adding the results. The line of greatest fit will reduce this value to the minimum.
We first find the sum, and then square the sum.
ΣX = 1 + 0 + 2 + 4 = 7
So, ΣX + 1 = 8
Mean = ( 4+6+14 )/3 = 8
Mean = ΣX*f / Σf = (5*2 + 4*1 + 3*3 + 2*2 + 1*2) / (2+1+3+2+2) = 29/10
Subtract 3 points from the score X=3
Changing the lowest score to a lower one will increase the range.
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The final step to be performed in the mathematical expression, (Σx)2 is square the sum of the scores
What Is the Sum of Squares?Sum of squares is a statistical method for calculating the dispersion of data points in regression analysis. By deviating the least from the data, the sum of squares can be used to identify the function that fits the data the best. The purpose of a regression analysis is to assess how well a data series can be fitted to a function that could provide insight into the process by which the data series was created. In the world of finance, the sum of squares can be used to calculate the variation in asset values.
A statistical measure of departure from the mean is the sum of squares. Variation is another name for it. The squared differences of each data point are added together to calculate it. The sum of squares is calculated by squaring the separation between each data point and the line of best fit, then adding the results. The line of greatest fit will reduce this value to the minimum.
We first find the sum, and then square the sum.
ΣX = 1 + 0 + 2 + 4 = 7
So, ΣX + 1 = 8
Mean = ( 4+6+14 )/3 = 8
Mean = ΣX*f / Σf = (5*2 + 4*1 + 3*3 + 2*2 + 1*2) / (2+1+3+2+2) = 29/10
Subtract 3 points from the score X=3
Changing the lowest score to a lower one will increase the range.
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Solve the following inequality X-5 > 25
1. -20
Answer: x>10
Step-by-step explanation:
X-5 > 25-20
x-5+5>5+5
x>5+5
x>10
Find the measures of two complementary angles if the measure of the larger angle is 2 less than 3 times the measure of the smaller angle. The measure of the smaller angle is
°,
and the measure of the larger angle is
°
The measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.
What are complementary angles?
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
So we can say that two angles are complementary if they sum up to 90 degrees.
From the given statement;
let the larger angle = ylet the smaller angle = xy = 3x - 2 -------(1)
y + x = 90 --------(2) (since they are complementary)
substitute for y in equation (2)
3x - 2 + x = 90
4x = 92
x = 92/4
x = 23 ⁰
y = 3(23) - 2
y = 67⁰
Thus, the measure of the smaller angle is 23⁰ and the measure of the larger angle is 67⁰.
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A student was asked to evaluate an expression the students work is shown describe any errors and find the correct value of the expression explain your reasoning
30 is the correct value of the expression in linear equation .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.The error starts from here- 36-10 + 4
If we are doing addition or subtraction start from left
=36−10+4
=26+4
= 30
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Suppose 115.2 million households have at least one TV; if 82% have basic cable TV, how many households have basic
cable TV?
If 115.2 million million households have at least one TV and 82% have basic cable TV, then the number of households have basic cable TV is
94464000.
Given,
The total number of household have at least one TV = 115.2 millions
The percentage of household have basic cable TV = 82%
Then, the number of household have basic cable TV
=115200000×[tex]\frac{82}{100}[/tex]
=94464000
Hence, if 115.2 million million households have at least one TV and 82% have basic cable TV, then the number of households have basic cable TV is 94464000.
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Solve equation.
6 t-18=30
To solve the equation, add 18 to both sides, then divide by 6. The solution is t = 8.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction of addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve 6t-18 = 30
The variable is t. Isolate the variable by adding 18 to both sides:
6t -18 +18 = 30 +18
6t = 48
Divide both sides by 6
6t : 6 = 48 : 6
t = 8 (solved)
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is sally has 3 apples and max has 3 apples, how much is all together
Answer:
6
Step-by-step explanation:
You count with your fingers. 1,2,3,4,5,6! Congrats you got your answer.
which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays? fraction 30 over 6
Expression of the rate per minute at which air freshener dispenses sprays is equal to fraction 4 over 30.
As given,
The graph represents
x-axis: Time in minutes
y-axis: Number of sprays
Ordered pairs ( 30,4) ,(60, 8) ,( 90,12), and ( 120, 16)
Consider any two points ( 90,12) ,(120 , 16)
Expression of the rate per minute=( y₂ -y₁)/(x₂ -x₁)
=( 16 - 12)/(120 -90)
= 4/30
Therefore, expression of the rate per minute at which air freshener dispenses sprays is equal to fraction 4 over 30.
The complete question is :
The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes: A graph is shown. On the x-axis, the values are from 0 till 150 in increments of 30 for each grid line, and on the y-axis, the values are from 0 to 20 in increments of 4 for each grid line. The title of the graph on the x-axis is Time in minutes, and the title on the y-axis is Number of Sprays. A line is shown connecting ordered pairs 30, 4 and 60, 8 and 90, 12 and 120,16. The title for the graph is Dispense Rate. Which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays?
fraction 4 over 30
fraction 30 over 4
fraction 30 over 16
fraction 16 over 30
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