Answers
The Domain of this relation is {0,2,3,4} and the range of the relation is {-2,1,2,5}.
In the question
let us first write down the coordinates in the order from bottom to top .
The coordinates of the points are (4,-2) ,(2,1) ,(0,2) ,(0,5) ,(3,5) .
the x coordinates in the point (x,y) is called as Domain .
the y coordinates in the point (x,y) is called as Range .
Hence , the Domain of the given relation is {4,2,0,3}
writing in the order we get , Domain = {0,2,3,4}
and the range of the given relation is {-2,1,2,5}
writing in the order we get , Range = {-2,1,2,5}
Therefore , the Domain of this relation is {0,2,3,4} and the range of the relation is {-2,1,2,5} .
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Related Questions
cook-it food processor has a mean time before failure of 32 months with a standard deviation of 4 months, and the failure times are normally distributed. what should be the warranty period, in months, so that the manufacturer will not have more than 8% of the food processors returned? round your answer down to the nearest whole number.
Answers
The warranty period should be 26 months so that the manufacturer will not have more than 8% of the food returned.
In a set with mean μ and standard deviation σ, the z-score of a measure X is given as:
Z = ( X - μ ) / σ
The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.
Cook-Easy blender has a mean time before failure of 32 months with a standard deviation of 4 months
Therefore,
σ = 4 and μ = 32
The warranty period should be in the 8th percentile.
Therefore, the value of X when Z has a p-value of 0.08, so X when Z = - 1.405.
So,
- 1.405 = ( X - 32 ) / 4
- 1.405 × 4 = X - 32
- 5.62 = X - 32
X = 26.38
X ≈ 26
The warranty period should be of 26 months.
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) If you invest $2500 in an account that pays 12% interest, compounded quarterly, how much would you
have at the end of 17 years?
Answers
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &17 \end{cases} \\\\\\ A=2500\left(1+\frac{0.12}{4}\right)^{4\cdot 17}\implies A=2500(1.03)^{68} \implies A \approx 18658.27[/tex]
Answer:
18658.27
Step-by-step explanation:
Which table of ordered pairs represents a proportional relationship?
need help ASAP!!
Answers
Answer:
Table 3 represents a proportional relationship
============================
Proportional relationship has the form of:
y = kx, where k- coefficient of proportionalityThe value of k should be same for any pair of coordinates:
k = y/xLet's test it for each tableTable 1k = 8/4 = 2k = 11/7 ≠ 2k = 14/10 ≠ 2NoTable 2k = 25/5 = 5k = 49/7 = 7 ≠ 5k = 81/9 = 9 ≠ 5NoTable 3k = 3/6 = 1/2k = 5/10 = 1/2k = 7/14 = 1/2YesTable 4k = 3/6 = 1/2k = 11/8 ≠ 1/2k = 18/13 ≠ 1/2NoIn the morning, the temperature in Westfield City was
–
2°F. By afternoon, a north wind caused the temperature to drop another 8°F. What was the afternoon temperature in Westfield City?
To solve the problem, Martin subtracted
–
2–(
–
8) and came up with an answer of 6°F. Is Martin correct? Why or why not?
Answers
Martin's answer is wrong. The afternoon temperature in Westfield city is -10°F.
Given,
The temperature in Westfield city in morning = -2°F
The drop down temperature by afternoon = 8°F
We have to find the temperature in afternoon:
Temperature in afternoon = Temperature in morning - Drop down temperature
= -2 - 8 = -10
The afternoon temperature in Westfield city is -10°F
Martin subtracted like:
-2 - (-8) = -2 + 8 = 6
This is wrong.
That is,
We can conclude like:
Martin's answer is wrong. The temperature in Westfield city in afternoon is -10°F
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I need helped with my math word problem i'm stuck
Answers
In mathematics, an algebraic expression is one that was created using integer constants, variables, and algebraic operations
The amount spent on a new house exists $ 810,000.
What is meant by algebraic expressions?Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. In mathematics, an algebraic expression is one that was created using integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by an exponent that is a rational number).
If n 5, the roots of a degree n polynomial expression, or the solutions of a degree n polynomial equation, may always be expressed as algebraic expressions.
An algebraic solution is what we refer to as a solution to an equation. But if n is greater than five, the Abel-Ruffini theorem asserts that only certain of these equations have algebraic solutions.
Abby spent 1/6 of the lottery on a new car
and 3/4 of the lottery on a new house
Total expenditure = $990,000
a. Let w be the lottery winnings,
then, 1/6 x w + 3/4 x w = $990,000
b. ⇒ w/6 + 3w/4 = $990,000
simplifying the above equation, we get
⇒ (2w + 9w)/12 = $990,000
⇒ 11w = 12 x $990,000
⇒ w = 12 x $990,000/11
⇒ w = 12 x 90,000
⇒ w = $1,080,000
Therefore, the lottery winnings = $1,080,000
Amount spent on a new car = 1/6 x $1,080,000 = $ 180,000
Amount spent on a new house = 3/4 x $1,080,000 = $ 810,000
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A store sells 213 bottles of water every day in the month of march. march has 31 days. how many bottles of water does the store sell in the month of march?
Answers
Using multiplication, we know that 6,603 bottles of water were sold in march by the store.
What is Multiplication?When you take a single number and multiply it by several, you are multiplying.213×31=6,603The simplest way to start teaching multiplication is to establish the relationship between the concept and addition, which your pupils should already be familiar with. Make sure your students understand the first principle of multiplication—that it is just repeated addition—before continuing on.Multiplication's characteristics. Commutative Multiplication Property.
Associative Multiplication Property.Multiple's distributive properties.Multiplication's identity property.So, bottles of water the store sells in march:
213 × 31 = 6,603Therefore, using multiplication, we know that 6,603 bottles of water were sold in march by the store.
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Morgan chewed 3 1/2 sticks of gum every day for 5 consecutive days. How many sticks of gum did he chew in that time?
Answers
The perimeter of a rectangle can be written as P = 2(L+W). If the length of a rectangle is 4, find the width in terms of P. Show the work that leads to your answer.
Answers
Answer:
P = 2(4+w)
P = 8+2w
P-8 = 2w
[tex] \frac{p - 8}{2w} = \frac{2w}{2} [/tex]
[tex] \frac{p - 8}{2} = w [/tex]
solve the following equation 18x-3=4x+11
Answers
Answer:
Hope this helps
fist add three to both sides
then subtract 4x from both sides
then divide both side with the same factor
Using the formula r=d/t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 227.5 miles in 3.5 hours?
Answers
Answer: 35 mile/hour
Step-by-step explanation:
[tex]r=\frac{d}{t}[/tex]
∴ [tex]r=\frac{227.5}{3.5}=65[/tex]
= 65 mile/hour
Factor by grouping
xy-9x-3y+27
Answers
The factored expression of the expression given as xy - 9x - 3y + 27 is (x - 3)(y - 9)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to factor the expression by grouping?The expression is given as
xy - 9x - 3y + 27
Factor out the common factor from the expression
So, we have
xy - 9x - 3y + 27 = x(y - 9) - 3(y - 9)
Factor out (y - 9) from the expression
So, we have
xy - 9x - 3y + 27 = (x - 3)(y - 9)
The expression above cannot be further simplified
This means that the expression has been completely factored and cannot be further factored
Hence, the equivalent expression of the expression given as xy - 9x - 3y + 27 when it is factored by grouping is (x - 3)(y - 9)
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A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of finished products and computes the sample mean product weight. If test results over a long period of time show that of the values are over pounds and are under pounds, what are the mean and the standard deviation for the population of products produced with this process?.
Answers
The mean is 2 Pounds and the standard deviation is 0.3340 for the population of products produced with this process
Sampling distributions are sets of data that can depict probability for all feasible samples taken from a population. Every one of these distributions is measured for a specific measure. The sampling distribution of means, for instance, calculates the average value for all feasible samples of a certain size.
Given that:
30 samples are used (n).
X stands for the sample mean weights.
Over 2.1 pounds make up 5% of the x values, while under 1.9 pounds makeup 5%.
Let the mean and standard deviation of the goods produced by this process be the population measurements.
According to the central limit theorem, if the sample size is greater than 30, any population distribution would result in a normal sampling distribution of means.
Let x represent the weights' sample mean.
x ∼ N(μX, σX2)
∼ N(μ, σ / √n)
∼N(μ, σ / √30)
5% of the x values are over 2.1 pounds and 5% are under 1.9 pounds, according to the statistics provided.
Therefore, P(x > 2.1) = 0.05
P [x − μ / (σ / √30) > 2.1 − μ / (σ / √30)] = 0.05
P [Z > 2.1 − μ / (σ / √30) = 0.05 --- (1)
P(x < 1.9) = 0.05
P [x − μ / (σ / √30) > 1.9 − μ / (σ / √30)] = 0.05
P [Z < 1.9 − μ / (σ / √30) = 0.05 --- (2)
The Z-scores that fulfill equations (1) and (2) using the common normal table are:
P(Z < −1.64) = 0.05
P(Z > 1.64) = 0.05 (An assortment of standard normative services)
Equations (1) and (2) are used to compare the values:
2.1 − μ / (σ / √30) = 1.64 ⇒ μ = 2.1 − 0.2994σ -- (3)
1.9 − μ / (σ / √30) = -1.64 ⇒ μ = 1.9 + 0.2994σ -- (4)
Adding the equations (3) and (4) :
σ = 2 − 1.9 / (0.2994) = 0.3340
In light of this, the population's mean weight is 2 pounds, and its standard deviation is 0.3340 pounds.
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Find the additive inverse of each number.
1. 15
2.-27
3. 7/9
4. -9/16
5. 0
Answers
Answer:
what level math is this I am not too familiar with it
Translate this sentence into an equation: "The difference between three-fifths of a number a 7 is –36."
Answers
The expression represented by the mathematical sentence is 3/5a - 7 = –36
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to translate the algebraic expression?The expression is given as
"The difference between three-fifths of a number and 7 is –36."
Three-fifths of a number a means multiply 3/5 and the number i.e. 3/5 * a
So, we have
The difference between three-fifths of a number and 7 is –36 ⇒ The difference between 3/5a and 7 is –36
difference means subtraction
So, we have
The difference between three-fifths of a number and 7 is –36 ⇒ 3/5a - 7 is –36
"is" means =
So, we have
The difference between three-fifths of a number and 7 is –36 ⇒ 3/5a - 7 = –36
Hence, the expression represented by the difference between three-fifths of a number and 7 is –36 is 3/5a - 7 = –36
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T is the midpoint of KL¯¯¯¯¯. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.
Answers
Using the midpoint formula, the coordinates of L is determined as: (-10, 10).
How to Determine the Coordinates of a Midpoint of a Segment?To find the coordinates of the midpoint of a segment, we have to apply the midpoint formula, which is: (x, y) = [(x2 + x1)/2, (y2 + y1)/2].
Given the following:
K(2,−6) = (x1, y1)L(?, ?) = (x2, y2)T(−4,2) = (x, y) [midpoint]Substitute the given values into the midpoint formula:
(-4, 2) = [(x2 + 2)/2, (y2 + (-6))/2]
(-4, 2) = [(x2 + 2)/2, (y2 - 6)/2]
Solve for x2:
-4 = (x2 + 2)/2
2(-4) = x2 + 2
-8 = x2 + 2
-8 - 2 = x2
x2 = -10
Solve for y2:
2 = (y2 - 6)/2
2(2) = y2 - 6
4 = y2 - 6
4 + 6 = y2
10 = y2
y2 = 10
Therefore, L has the coordinates, (-10, 10).
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I need help with this question
Answers
Let's solve figure by figure
Figure A
This figure has a total of 5 sides, therefore it is a pentagon.
Figure B
This figure has a total of 8 sides, therefore it is an octagon.
Figure C
This figure has a total of 3 sides, therefore it is a triangle.
According to the answer table, it would be
Pentagon: Figure A
Octagon: Figure B
Hexagon: None
(03.06 LC)
Choose the equation below that represents the line that passes through the point (-2,-1)
and has a slope of 5.
Answers
The line that passes through the point (-2,-1) and has a slope of 5. The equation of the line is y + 1 = 5(x + 2).
What is slope of a line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.
Using the slope and 1 point format: (y- y₁) = m(x - x₁)
where m = slope = 5, and point is (x₁, y₁). In this case point (x₁, y₁) = (-2, -1)
x₁ = -2, y₁ = -1
Using: (y- y₁) = m(x - x₁)
y - -1 = 5(x - -2)
y + 1 = 5(x + 2).
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Aaliyah is preheating her oven before using it to bake. The initial temperature of the
oven is 70° and the temperature will increase at a rate of 20° per minute after being
turned on. What is the temperature of the oven 14 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Answers
Answer:
It is 350°
Step-by-step explanation:
14*20°=280
280° x 70°= 350°
Answers:
What is the temperature of the oven 14 minutes after being turned on?
70 = initial temp
20 = degrees per minute
70 + 20t = ??
70 + 20(14) = 350
What is the temperature of the oven t minutes after being turned on?
The temperature of the over per minute is represented by the expression 70 + 20t, when t = the minutes after being turned on
wich of the following numbers in the datta set is an outlier? data set: 21,23,19,25,83,23, or 21
Answers
Answer:
83.
Step-by-step explanation:
An outlier is a number in a data set that stands out from the rest.
Example: 1,2,3,89.
That was a little extreme but in the example you can see that the number isn’t even close to the others, it stands out.
Which is why I came to the conclusion that in the data set, the outlier is 83.
A cord of wood is a pile 8 feet long, 4 feet wide, and 4 feet high. Find the volume of a cord of wood.
Answers
128 feet³ is the volume of a cord of wood.
What is volume in maths?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."l = 8 feet
b = 4 feet
h = 4 feet
volume of a cord of wood = l × b × h
= 8 × 4 × 4
= 128 feet³
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find the sum of the first 16 terms of the arithmetic sequence: 8,11,14,17,20,...
Answers
Answer:
S₁₆ = 488
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 8 and d = a₂ - a₁ = 11 - 8 = 3 , then
S₁₆ = [tex]\frac{16}{2}[/tex] [ (2 × 8) + (15 × 3) ]
= 8(16 + 45)
= 8 × 61
= 488
Ryan has $16 in a savings account. The interest rate is 15% per year and is not compounded. How much will she have in 1 year? Use formula i=p*r*t, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years
Answers
Answer:
$18.4
Explanation:
At the end of the year, Ryan will have the initial saving plus the interest earned.
So, to calculate the interest earned we will use the given equation:
i = p*r*t
So, replacing p by 16, r by 0.15, and t by 1, we get:
i = 16 x 0.15 x 1
i = 2.4
Then, after 1 year, she will have:
$16 + $2.4 = $18.4
Therefore, the answer is $18.4
what is the mean of 7,5,9,5,12?
Answers
Answer: 190
Step-by-step explanation:
you add all the numbers and by adding all these numbers i got 38 then u take the amount of numbers you had and multiply is of in this case it was 38x 5
Answer:
7.6
Step-by-step explanation:
How do you find the mean?
1. Add all values in your data
2. Divide the sum by how many numbers there are.
Determine Angles of a rotation
A) 90º clockwise
B) 90º counterclockwise
C) 180º
D) 270º clockwise
E) 270º counterclockwise
Answers
Answer:
C) 180°
Step-by-step explanation:
You want the angle of rotation between triangle ABC and triangle A'B'C' given that the center of rotation is point P.
AngleThe angle of rotation will be the measure of the angle APA'. We see that this angle is a straight angle with a measure of 180°.
The angle of rotation is 180°.
__
Additional comment
Another clue regarding the answer is that 90° CW is equivalent to (and indistinguishable from) 270° CCW, and vice versa. This means each of the other answer choices is repeated, so one is as good as the other. The only possible single answer choice is 180°.
The angle of rotation can always be found this way. Form an angle between a preimage point, the center of rotation, and the corresponding image point. The measure of that angle is the angle of rotation.
<95141404393>
4 - 1 1/2 please help I’ll put a lot of points
Answers
either one is fine it’s all the same just different forms or writing it
The price of a phone is AED 600. It is discounted by 18%. You also have a 7% discount voucher on the
sale price.
How much will you pay for this phone?
Answers
Answer:
You will pay $457.56.
Step-by-step explanation:
600 x .18 = 108 This is the amount taken off
600 - 108 = 492 Now we will take 7% off of 492
492 x .07 = 34.44
492 - 34.44 = 457.56
What is 29 divided by 5123
Answers
Explanation: Have a great day!! :)
Timmy has 810 stamps. He wants to organize them on pages that hold 16 stamps each. He has 50 pages. Does he have enough pages to organize all the stamps?
Answers
yes Timmy has enough pages to organize all stamps.
Given, we have 810 stamps.
He wants to organize them on pages that hold 16 stamps each.
He has 50 pages.
Therefore, 810 ÷ 16
while dividing we get 50 as the quotient and 10 as the remainder.
Which means 810 stamps are enough for 50 pages, after that 10 more remains.
Hence we get the desired result.
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Evaluate. [4.2−3(2.1)] + 1 (-0.2)² What is the value of the expression? Enter your answer as a decimal in the box.
Answers
On evaluating the value of the expression [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .
In the question ,
the expression is given as
[4.2−3(2.1)] + 1 (-0.2)²
the value of (-0.2)²= (-0.2)*(-0.2)
= 0.04
Substituting the value of (-0.2)² in expression , we get
=[4.2−3(2.1)] + 1*0.04
=[4.2−3(2.1)] + 0.04
Solving the terms inside [ ] , we have
multiplying 3 with 2.1 we get
3*2.1= 6.3
Substituting it in the expression above we get
= [4.2−6.3] + 0.04
Simplifying further , we get
= -2.1 + 0.04
= -2.06
Therefore , on evaluating the value of the expression [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .
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Answer:
Step-by-step explanation:
The answer is -2.06.
hope you get a good grade!!!
Find the equation of the line that is perpendicular to the line y = 5x+6 and passes through the point (-3 , 3). Write the equation in point slope form.
Please help
(College Algebra)
Answers
Equation of the line in slope form that is perpendicular to the line y =5x +6 and passes through the point (-3, 3) is equal to y = -5x -12.
As given in the question,
Equation of the given line :
y = 5x + 6
Slope of the given line m₁ = 5
Required line is perpendicular to the given line
Slope of the required line is m₂ = -5
Required line is passing through the point (x₁ , y₁) = (-3, 3)
Equation of the required line in slope form
y -y₁ = m₂( x -x₁ )
⇒ y - 3 = -5(x - (-3))
⇒ y -3 = -5x -15
⇒ y = -5x -12
Therefore, equation of the line in slope form that is perpendicular to the line y =5x +6 and passes through the point (-3, 3) is equal to y = -5x -12.
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