Suppose that the relation S is defined as follows.
S= {(4,n), (8,q), (4,m)}
Give the domain and range of S.
Write your answers using set notation.
Domain=
Range=
Answers
The domain of the relation is {4,8} and the range of the relation is {n,q,m}.
What is domain?A function or relation's domain is the set of all potential independent values that it can have.
Suppose that the relation S is defined as follows.
S= {(4,n), (8,q), (4,m)}
The first term at the point represents the input and the second term at the point represents the output.
So,
the input values are 4,8 and 4 and their respective outputs are n, q and m,
The collection of all conceivable independent values that a function or relation may take is known as its domain.
So, the domain is {4,8}.
The range of a function or relation is the set of all possible dependent values the relation can produce from the domain values.
So, the range is {n,q,m}
Therefore, the domain is {4,8} and the range is {n,q,m}.
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Related Questions
Percents, decimals, and fractions
Answers
Answer:
1.) 0.25
2.) 0.50
3.) 0.125
4.) 2.25
Step-by-step explanation:
When turning percentages into decimals, you move the decimal point two places to the left.
EX:
25%
25.0 (move the decimal point two places to the left)
2.5
.25
0.25 (add any zeros if necessary)
Hope this helps!!
Tip:It doesn't matter where the decimal point is in a percentage, as long as you move the point two places to the left, you are still turning it into a decimal.
If slope of a line is 7 and y-intercept is 4, then write the equation of that line.
Answers
Answer: The answer is y=7x+4
M is the slope and the y-intercept is b
Which stataments are true regarding undifinable terms in geometry?
Answers
Answer:
A point has no length or widthA line consists of an infinite number of pointsA plane consists of an infinite set of linesStep-by-step explanation:
The statements that are true regarding undefined terms are;
A point has no length or widthA line consists of an infinite number of pointsA plane consists of an infinite set of linesThe reason these statements above are true are as follows:
Examples of undefined terms includes a point, a plane, a line and a set
A point is for representing a position in space. It has no dimensions
Therefore, the statement, A point has no length or width is true
A plane is defined as an interconnected set of points that lay on the same flat surface, and extends infinitely along the surface in all directions
A line is defined as an infinite set of points that are arranged in straight path and extends without end in opposite directions
Therefore, the statement, a line consists of an infinite number of points is true
Therefore, a plane can be considered as being made up of an infinite set of lines that are located on a flat surface
Therefore, the statement, a plane consists of an infinite set of lines is true
Carlos graphed the system of equations that can be used to solve x cubed minus 2 x squared 5 x minus 6 = negative 4 x squared 14 x 12. On a coordinate plane, 2 functions are shown. The functions intersect at (negative 3, negative 66), (negative 2, negative 32), and (3, 18) What are the roots of the polynomial equation? –3, –2, 3 –3, 2 18, 32 18, 32, 66
Answers
Answer: A
Step-by-step explanation: the other guy is wrong
Which of the following choices is not an example of a unit rate?
earnings per hour dollars per pound calories per serving $25.50 for 5 gallons
Answers
Examples of unit rates are Dollars per pound calories and earnings per hour. The rest is not the unit rate.
What is the unit rate?
An item's unit rate is its price for one of them. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. 70 yards in 10 seconds and 7 yards in 1 second are both ratios, although only the latter is a unit rate.
Earnings per hour are a unit rate since it is calculated for an hour.
Dollars per pound calories is a unit rate.
Serving $25.50 for 5 gallons is not a unit rate, the cost is for 5 gallons. If the cost is for 1 gallon then it will unit rate.
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Help!!!! Please Help Me!!! I need the answer right now!!! Thanks!!!
The subject is Science and Not Mathematics.
I couldn't find the Science option.
Answers
The numbers of the atoms of each element are;
Carbon dioxide;6 atoms of carbon, 12 atoms of oxygen
Water ;12 atoms of hydrogen, 6 atoms of oxygen
Glucose;6 atoms of carbon, 12 atoms of hydrogen, 6 atoms of oxygen
Oxygen molecule12 atoms of oxygen
What is a reaction?In a chemical reaction, there is the combination of the atoms of the reactants and a consequent recombination as the products are formed. In accordance with the law of the conservation of mass, we know that the number of atoms before reaction must be equal to the number of atoms after reaction.
Now we have to look at the atoms and count up the number of atoms of each element in each of the compounds and this is how we are able to obtain the number of each atom as shown above.
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Which equation is equivalent to 1\5x-3-2\3
Answers
The equivalent equation of the equation given as 1/5x - 3 - 2/3 is 1/5x - 11/3
How to determine the equivalent equationFrom the question, we have the following parameters that can be used in our computation:
1\5x-3-2\3
The fractions can be properly expressed as
1/5x - 3 - 2/3
Next, we evaluate the difference between -3 and -2/3
So, we have the following representation
1/5x - 3 - 2/3 = 1/5x - (9 + 2)/3
Evaluate the like terms
So, we have the following representation
1/5x - 3 - 2/3 = 1/5x - (11)/3
Remove the brackets
This gives
1/5x - 3 - 2/3 = 1/5x - 11/3
Hence, the equivalent equation is 1/5x - 11/3
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The Tri-State Pick 3 lottery game offers a choice of several bets. You choose
a three-digit number. The lottery commission announces the winning three-digit number,
chosen at random, at the end of each day. The "box" pays $83.33 if the number you choose
has the same digits as the winning number, in any order. Find the expected payoff for a
$1 bet on the box. (Assume that you chose a number having three different digits.)
Answers
Answer: The Tri-State Pick 3 lottery game offers a choice of several bets, including a "box" bet where you choose a three-digit number and win if the number you choose has the same digits as the winning number, in any order. The expected payoff for a $1 bet on the box is $83.33.
To find this expected value, we need to consider all the possible ways that the winning number could be chosen and calculate the probability of each outcome. Since the winning number is chosen at random, each of the 10 possible digits (0 through 9) is equally likely to be chosen for each of the three positions in the winning number.
Since the box bet pays off if the digits of your chosen number match the digits of the winning number, regardless of their order, the number of winning combinations is equal to the number of ways to arrange the three digits of the winning number. This is equal to 3! (3 factorial), which is equal to 6.
Since there are a total of 10 possible digits for each position and the winning number has three positions, there are a total of 10 x 10 x 10 = 1000 possible winning numbers. Of these, 6 will pay off for a box bet, so the probability of winning a box bet is 6/1000 = 0.006.
Since the expected value of a bet is equal to the probability of winning multiplied by the payoff, the expected value of a $1 bet on the box is 0.006 x $83.33 = $0.05. Therefore, the expected payoff for a $1 bet on the box is $0.05.
Hard A level Maths question, please help ASAP cheers
Answers
The value of the shaded area from the rectangle ACDE is approximately 52.124 square centimeters.
How to determine the value of the shaded area
In this problem we must calculate the shaded area of the section within the rectangle ACDE, this can be found by the subtracting the area of the region ABDE, which is the combination of the areas of the right triangle ABE and the arc BDE, whose formulas are shown below:
Triangle ABE
S = (1 / 2) · AB · AE
Arc BDE
S = (1 / 2) · α · ED²
Where α is the central angle, in radians.
Rectangle ACDE
S = ED · AE
If we know that AE = 20 cm, ED = 28 cm, α = π / 4 and AB = 20 cm, then the area of the shaded area is:
S = (28 cm) · (20 cm) - (1 / 2) · (π / 4) · (28 cm)² - (1 / 2) · (20 cm) · (20 cm)
S ≈ 52.124 cm²
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Please help me with this question!
Answers
Answer:
Step-by-step explanation:
the answer is 11/12
Geometric Transformations
Answers
The four letter code from the transformations is given as follows:
FB H.
How to obtain the four letter code?The four letter code is obtained applying the transformations to the given points.
The coordinates of point 1 are given as follows:
(-4,2).
The transformation is a reflection over the x-axis, which has the rule given as follows:
(x,y) ->(x,-y).
Hence the coordinates of the image of point 1 are given as follows:
1'(-4,-2).
Meaning that the first letter is of F.
The coordinates of point 2 are given as follows:
(-2,3).
The transformation is a reflection over the y-axis, which has the rule given as follows:
(x,y) ->(-x,y).
Hence the coordinates of the image of point 2 are given as follows:
2'(2,3)
Meaning that the second letter is of B.
The coordinates of point 4 are given as follows:
(-1,2)
The transformation is a reflection over the line y = x, which has the rule given as follows:
(x,y) ->(y,x).
Hence the coordinates of the image of point 4 are given as follows:
4'(2,-1)
Meaning that the fourth letter is of H.
Missing InformationThe third transformation is missing.
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Solve for p: 3+ 10p - 8p = 17
Answers
3+2p=17
Then take way the 3 from both sides
2p=14
Now divide
p=7
a doctor claims that people are at most 6 pounds overweight. to test the claim, the doctor randomly selects 81 people and calculates the difference between their ideal weight and actual weight. the sample mean and sample standard deviation of that difference were 7 pounds and 2 pounds respectively. can we conclude at the 1% level of significance that the claim is true? group of answer choices yes, conclude the claim is true by rejecting h0. no, conclude the claim is not true by rejecting h0. no, conclude the claim is not true by accepting h0. yes, conclude the claim is true by accepting h0.
Answers
we conclude at the 1% level of significance that the claim is true by accepting H₀
What is Hypothesis?
A hypothesis outlines your expectations for the results of your investigation. It is a speculative, untested response to your research question.
Given,
n = 81
x bar = 7
s= 2
Here, a doctor claims that people are atmost 6 pound over weight
H₀ : μ ≤ 6 versus
H₀ : μ > 6 versus
Now,
The Test Stastistic is
t = x bar - μ / s√n
t = 7-6/2√81
t = 4.5
let ∝ = 0.10, then p value = 0.000
p value >∝
yes, conclude the claim is true by accepting H₀
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Min Kurata deposited $875 for 3 months at 4% and made no other deposits or withdrawals. How much simple interest did his money earn? What is the amount in the account?
Answers
Hello,
I hope you and your family are doing well!
To find the amount of simple interest earned by Min Kurata's money, we can use the formula:
I = P * r * t
Where I is the amount of interest earned, P is the principal (the initial amount deposited), r is the annual interest rate, and t is the time in years.
In this case, the principal is $875, the annual interest rate is 4%, and the time is 3 months. Since the time is given in months, we need to convert it to years by dividing it by the number of months in a year (12):
t = 3 months / 12 months/year = 0.25 years
Plugging these values into the formula gives:
I = $875 * 0.04 * 0.25 = $35
So Min Kurata's money earned $35 in simple interest.
To find the total amount in the account, we can add the amount of interest to the principal:
total amount = $875 + $35 = $910
So the total amount in the account after 3 months is $910.
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Happy Holidays!
Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
Answers
Answer: [tex]2^4 \times 5[/tex]
Step-by-step explanation:
[tex]80=2 \times 40\\\\80=2 \times 2 \times 20\\\\80=2 \times 2 \times 2 \times 10\\\\80=2 \times 2 \times 2 \times 2 \times 5\\\\80=2^4 \times 5[/tex]
What are the significant digits?
2.6 × 10'-15'
( -15 is an exponent btw)
Answers
Therefore, the number of significant figures is 4.
What are Significant Figures?Significant figures are the digits of a number that are meaningful in terms of accuracy or precision. These digits indicate the precision of a calculation or measurement.
What are Significant Figures Rules?Non-zero digits are always significant.Zeros between non-zero digits are always significant.Leading zeros are never significant.if we have trailing zeros then they are only significant if the number contains a decimal point.Given:
exponential notification is,
2.6 ×[tex]10^{-15}[/tex]
=365500
(real number)
= 3.655 × [tex]10^{5}[/tex]
(scientific notation)
= 3.655e5
(scientific exponential notation)
Therefore, the number of significant figures is 4.
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What percent is equal to the part-to-whole ratio 9:80?
Answers
X=11.25
9:80 =11.25%
Consider this right triangle. 20 m 37° Enter the length of side AB, to the nearest tenth.
Answers
Answer:
15.1
Step-by-step explanation:
tan(angle) = opposite/adjacent
tan 37 = AB/20
AB = 20 x tan 37 = 20 x 0.754 = 15.08 or 15.1
The equation 4(2x 1) = 6x − 12 models the change in water level in a lake in one month. solve for x, which is change in height in inches. x equals negative thirteen halves x = −8 x = 8 x equals eleven halves
Answers
From the given options, option 2. x= -8 is the correct option. Here, the x is change in height in inches so the, change in height is -8 inches.
A linear equation is simply an equation with the highest degree always being 1. The standard form of a linear equation in one variable is Ax + B = 0. x is a variable in this equation, and A and B are constants. A two-variable linear equation has the standard form Ax + By = C. The variables x and y are variables, their coefficients A and B are variables, and C is a constant.
Given, linear equation is
[tex]4(2x+1)=6x-12\\\\8x+4=6x-12\\\\8x-6x=-4-12\\\\2x=-16\\\\x=-8[/tex]
Hence, the x equals to -8.
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Simplify each expression.
8x+13 - 3x + 9/1/2
Answers
Answer:5x+22
there you gooo
Answer:
5x+ 45/2
Step-by-step explanation:
1. $3.96 x 5
2. 0.023 x 40
3. 0.67 x 61
4. $19.99 x 6
5. 0.13 x 57
6. 0.041 x 15
Answers
Answer:
1. $19.80
2. 0.92
3. 40.87
4. 119.94
5. 7.41
6. 0.615
Step-by-step explanation:
1. $3.96 x 5 = $19.80
2. 0.023 x 40
⇒ 0.023 x 10 = 0.23
⇒ 0.23 x 4 = 0.92
3. 0.67 x 61
⇒ 0.67 x 1 = 0.67
⇒ 0.67 x 60 = 40.2
⇒ 0.67 + 40.2 = 40.87
4. $19.99 x 6
⇒ 19.99 x 6 = 119.94
5. 0.13 x 57
⇒ 0.13 x 50 = 6.5
⇒ 0.13 x 7 = 0.91
⇒ 6.5 + 0.91 = 7.41
6. 0.041 x 15
⇒ 0.041 x 10 = 0.41
⇒ 0.041 x 5 = 0.205
⇒ 0.41 + 0.205 = 0.615
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A garden snail travels at a rate of 2.2 feet per minute.
At this rate, how long will it take for the snail to travel 55 feet?
At this rate, it will take the snail [___ minutes to travel 55 feet.
WHAT IS THE ANSWER.
Answers
If the snails moves at a constant rate, it will take 25 minutes to travel 55 feet.
How long will it take for the snail to travel 55 feet?We know that the snail travels at a rate of 2.2 feet per minute, so after x minutes, the distance traveled by the snail is:
D = 2.2ft*x
To see how many minutes it takes the snail to travel 55 feet, we need to solve the equation:
55 ft = 2.2ft*x
If we divide both sides by 2.2ft, we will get:
55ft/2.2ft = x
25 = x
So the snail takes 25 minutes to travel the 55 feet.
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1.
The band and the orchestra are each having a party to celebrate the
results of their latest competition. The band would like to order cupcakes
from Walmart at a cost of $3.35 per cupcake and a $13.00 order fee
The orchestra would like to order cupcakes from Publix at $2.90 each
and a $22.50 order fee. This system {2.90c +22.50 represents the
total cost, T, and the number of cupcakes. Determine how many
cupcakes each club can order if they both have the same amount of
money to spend. Is the solution viable or not viable?
Answers
By solving a linear equation, it can be calculated that
Each club can order 21.1 cupcakes if they both have the same amount of
money to spend
What is a linear equation?
Equation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by an equal to sign
A one degree equation is called linear equation
Let the number of cupcakes ordered by each club be c
The band would like to order cupcakes from Walmart at a cost of $3.35 per cupcake and a $13.00 order fee
Total amount spent = $(13 + 3.35c)
The orchestra would like to order cupcakes from Publix at $2.90 each
and a $22.50 order fee
Total amount spent = $(22.5 + 2.90c)
By the problem,
The linear equation is
13 + 3.35c = 22.5 + 2.90c
3.35c - 2.90c = 22.5 - 13
0.45c = 9.5
c = 21.1
This solution is not viable as the number of cupcakes must be an integer not a decimal.
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9. The length of an arc of a circle is 12 cm. The corresponding sector area is 108 cm².
Find:
a) the radius of the circle
b) the angle subtended at the centre of the circle by the arc.
Answers
At the circle's center, the arc's radius and angle are 9 cm and 4/3 radians, respectively.
What is the arc of a circle?Any section of a circle's circumference is considered an arc. Remember that the circumference of a circle is its perimeter or distance.
Given the length of the arc is 12cm and the area of the arc is 108 cm Square.
Since the length of the arc = θ × r
Area of the arc (A) = (θ/360°) × πr2
Substituting values in the formulas
12 = θ × r
108 = θ × r²
comparing both equations
r = 9 cm
θ = 4/3 radian
Therefore, the radius and the angle subtended at the center of the circle by the arc are 9 cm and 4/3 radian respectively.
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Walmart is open Monday through Saturday from 8.00 AM to midnight and Sunday from 10.00 AM to 8:00 PM. How many hours is it open in one week? Show all work!
Please explain
Answers
The total number of hours that it opens in one week will be 104 hours.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Walmart is open Monday through Saturday from 8:00 AM to 12:00 AM and Sunday from 10:00 AM to 8:00 PM.
From 8:00 AM to 8:00 PM, there are 12 hours and from 8:00 AM to 12:00 AM there are 4 hours. Then the total hours from Monday to Saturday will be calculated as,
⇒ 6 x (12 + 4)
⇒ 6 x 16
⇒ 96 hours
From 10:00 AM to 8:00 PM, there are only 10 hours. Then the total number of hours that it opens in one week will be given as,
⇒ 96 + 8
⇒ 104 hours
The total number of hours that it opens in one week will be 104 hours.
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Roxanne drew an indigo line that was 11 4/5 inches long. Then she drew a white line that was 6 3/5 inches long. How much longer was the indigo line than the white line?
Answers
The indigo line is longer than the white line by 5.2 inches.
What is a line?A line is a one-dimensional figure that has length but no width.
The length of the indigo line can be represented as I and the length of the white line as W.
The length of the indigo line is 11 4/5, i.e., I = 11 4/5 = 11.8
The given length of the white line is 6 3/5, i.e. W = 6 3/5= 6.6
The difference in length between the indigo and white lines is given by
I-W = 11.8 - 6.6 = 5.2
Hence, the indigo line is 5.2 inches longer than the white line.
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PLEASE ANSWER FAST
Find the missing values in the table below so that it represents a linear function.
Answers
The value of y₂, y₃ and y₄ in the linear function are -21, -26 and -31 respectively.
How to represent linear function?Linear function can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, to find the missing values in the table we have to use the equation of the linear function.
y = mx + b
let's find m.
using (4, -16) and (8, -36)
m = slope = -36 + 16 / 8 - 4
m = -20 / 4
m = -5
Hence, let's find y-intercept using (4, -16).
y = -5x + b
-16 = -5(4) + b
-16 + 20 = b
b = 4
Therefore, the equation is y = -5x + 4.
Let's find y₂, y₃ and y₄
y₂ = -5(5) + 4 = -25 + 4 = - 21
y₃ = -5(6) + 4 = -30 + 4 = -26
y₄ = -5(7) + 4 = -35 + 4 = - 31
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Select ALL the correct answers.
Consider the graph given below.
Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above.
1)Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
2)Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2
3)Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2
4)Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units
5)Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6
6)Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units
Answers
The sequences of transformations that could be applied to the parent function are Reflected over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units i.e. Option (4).
What is transformation?
An operation that manipulates a polygon or other two-dimensional object on a plane or coordinate system is known as a transformation. Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
The two-dimensional shape without any transformations is known as a preimage or inverse image. The transformed figure is shown in the image.
Given, the parent function, f(x) = x
From the given graph, the equation will be
y = -2x + 6
Then, the transformation will be
Shifted up 6 units
Vertical stretch by a factor of 2
Reflected over the y-axis
Hence, the required answer is Option 4.
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Prove that tanx sinx + cosx = secx
Answers
The proof that tan(x) sin(x) + cos(x) = sec(x) is represented by the trigonometric equation sec(x) = sec(x)
How to prove the trigonometric equationFrom the question, we have the following parameters that can be used in our computation:
tan(x) sin(x) + cos(x) = sec(x)
Express tan(x) as sin(x)/cos(x)
So, we have the following representation
sin(x)/cos(x) * sin(x) + cos(x) = sec(x)
Evaluate the products
So, we have the following representation
sin²(x)/cos(x) + cos(x) = sec(x)
Take the LCM
[sin²(x) + cos²(x)]/cos(x) = sec(x)
Express sin²(x) + cos²(x) as 1
So, we have
1/cos(x) = sec(x)
Evaluate
sec(x) = sec(x)
Hence, the equation has been proved
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Joseph bought a brand new car 6 years ago for $22,250. The table below shows v(n), the value of the car t years since it was purchased
What is the correlation coefficient between 1 and v(n), and what does the coefficient indicate?
The correlation coefficient is -0.955 and indicates a very weak linear association
The correlation coefficient is -0.913 and indicates a very weak linear association
The correlation coefficient is -0.913 and indicates a strong negative linear association
The correlation coefficient is -0.955 and indicates a strong negative linear association
F.
G
H.
J
t
0
1
2
3
4
5
6
v(t) $22,250 $16.200 $11.700 $8,100 $6,300 $4.950 $3.825
5
Answers
Answer:
Step-by-step explanation:
The correlation coefficient between 1 and v(n) is -0.913, and this coefficient indicates a strong negative linear association. The correlation coefficient is a measure of the strength and direction of the relationship between two variables. In this case, the correlation coefficient is -0.913, which indicates a strong negative relationship between 1 and v(n). This means that as the value of 1 increases, the value of v(n) decreases, and vice versa. This relationship is linear, which means that it can be described by a straight line. Overall, the correlation coefficient indicates a strong negative linear association between 1 and v(n).
