The domain of the function y = √ x is x ≥ 0.
The domain of a function is the set of all input values for which the function is defined. The square root function, represented by √, is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number. Therefore, the domain of √ x is the set of all real numbers greater than or equal to zero.
This means that any input value less than zero would result in an undefined output for the square root function. In this case, since the square root is the only function, the domain of the function y = √ x is x ≥ 0. This means that the function can only take non-negative real numbers as input and will output a non-negative number.
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This box plot represents the marks gained by students in an exam. Nobody gained exactly 30, 48 or 70 marks. 120 students gained less than 70 marks. How many students gained more than 48 marks?
Therefore , the solution of the given problem of scatter plot comes out
to be 2 regions contain 2 x 40 (or 80) students.
Definition of a scatter plotSeveral dots are placed on a vertical and horizontal axis to form a scatter plot. In statistics, scatter plots are crucial because they can demonstrate the amount of correlation, if any, between both the quantities of observed quantities or occurrences (called variables).
Here,
A box plot separates a data set into four areas, each identified by five lines. The lowest line displays the result, while the highest line displays the result. 25% of the data points are distributed across each region, and the median score is indicated by the middle line.
In this box plot, for instance, there are lines at 10, 30, 48, 70, and 100. The fact that no student received a score exactly equal to 30, 48, or 70 allows us to deduce the following:
Because the middle two sections represent the interquartile range (IQR), which comprises the middle 50% of the data, they are frequently "boxed" together.
We are informed that 120 students received test scores below 70. Additionally, since there are three regions with scores below 70 and each region has a 25% weighting, 3 x 25% (or 75% of the students) had scores below 70.
In other words, 75% of 120 students.
If there are 120 students total throughout the three regions, then each
region has 40 pupils, or one-third of the total.
The box plot indicates that there are two areas, and since each region has 40 students, there are 80 students total in the two regions.
As a result, two zones with two sets of 40 students each make up the solution to the scatter plot problem.
Therefore , the solution of the given problem of scatter plot comes out
to be 2 regions contain 2 x 40 (or 80) students.
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Parallel, perpendicular or neither
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
Which of the following constructions can be accomplished with paper
folding?
Check all that apply.
A. Constructing a line segment of length 2 and then finding the
midpoint
B. Drawing a perpendicular line segment through a given point on a
given segment
C. Drawing a line through a given point parallel to a given line
D. Drawing a perpendicular line segment from a given point to a
given segment
Answer: Constructions A, B, and D can be accomplished with paper folding.
Construction A involves constructing a line segment of length 2 and then finding the midpoint, which can be done by folding the paper in half.
Construction B involves drawing a perpendicular line segment through a given point on a given segment, which can also be done by folding the paper.
Construction D involves drawing a perpendicular line segment from a given point to a given segment, which can also be done by folding the paper.
Construction C, drawing a line through a given point parallel to a given line, cannot be accomplished with paper folding. To do this construction, you would need a straightedge, such as a ruler.
Step-by-step explanation:
The following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment. What is construction in mathematics?Constructions are accurate drawings of shapes, angles and lines in geometry. Some basic constructions -
Constructing bisectors of lines and angles.Constructing regular polygons inscribed in circles.Constructing circumcircles and incircles.Constructing a line tangent to a circle.Given is to find which of the following constructions can be accomplished with paper folding.
The following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.Therefore, the following constructions can be accomplished with paper folding -
Drawing a perpendicular line segment through a given point on a given segment.Drawing a line through a given point parallel to a given line.Drawing a perpendicular line segment from a given point to a given segment.To solve more questions on constructions, visit the link-
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Given the following set of numbers, use the measures of central tendency to
identify the type of distribution. Defend your answer.
70 67 75 60 67 65
The measure of the central tendency is 67 as the data in the set are integers.
What is a central tendency?A single number that seeks to characterize a set of data by pinpointing the center position within that set of data is referred to as a measure of central tendency.
As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.
Given, A data set 70, 67, 75, 60, 67, 65.
Arranging the data set in ascending order,
60, 65, 67, 67, 70, 75.
Now, The mean of the set is (60 + 65 + 67 + 67 + 70 + 75)/6.
= 67.33.
Mode of the data set 67.
So, The central tendency of the data set is 67 as the data in the set are all integers.
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Is 3x3 a polynomial?
The degree of x-x3 is 3, or 3. It is a cubic polynomial. The formula for the 33 matrix's distinctive polynomial is f() = det (A - I3).
A polynomial is what?A polynomial is a mathematical statement made up of variables (also known as indeterminates) and coefficients. It can be expressed using just the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that contains variables, constants, and exponents and is based on the operations of addition, subtraction, multiplication, and division of numbers (No division operation by a variable).
[tex]x - x^3[/tex] has a degree of 3, or 3.
The polynomial is a cubic one.[tex]f() = det (A - I3)[/tex]is the formula for the characteristic polynomial of the 33 matrix.
The characteristic polynomial of the provided 33 matrix is [tex]f() = -3 + 3 + 2.[/tex]
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if x= -1/3, find 12x²-15x+3
When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a
histogram
standard deviation distribution
percentile distribution
bar graph
scatter-plot or scatter-gram
When you see a graphed cluster of dots depicting the values and relationship of two different variables, you are seeing a visual description of relatedness called a scatter-plot or scatter-gram.
What is scatter-plot or scatter-gram?Scatter-plot: A scatter-plot is a form of mathematical diagram or plot that employs Cartesian coordinates to illustrate distinct values associated to two variables for a specific set of data. It is also known as a scatter-gram, scatter-graph, scatter-chatter, or scatter-diagram.
It is being utilized to determine how one variable influences the other.
The supplied statement in the question above represents the scatter plot.
Here,
When you observe a graphed cluster of dots reflecting the values and relationship of two separate variables, you are looking at a scatter-plot or scatter-gram, which is a visual explanation of relatedness.
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Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene’s car had 6.7 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.90 per gallon. How much did Irene spend on gas?
The domain and scope of the identity function are the same. Equation for the identity function is f(x) = x, or y = x.
What is function?An statement, rule, or law in mathematics that specifies the connection between an independent variable and a dependent variable (the dependent variable). A relationship between a group of inputs and one output each is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. Y=X2 is an illustration of this. You only receive one output for y if you enter anything for x. The fact that x is the input value leads us to argue that y is a function of x.
identity function are the same.
Equation for the identity function is
f(x) = x, or y = x.
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On solving the provided question, we can say that by unitary method Irene spend on gas = $ 33.82
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
by unitary method
Irene must pay back the money she used for gas.
Irene filled up her tank with gas for $33.82.
One gallon of gasoline costs $3.80.
There are 6.1 gallons of the petrol Irene purchased in the tank.
amount required = 15 -6.1 = 8.9 gallons
1 gallon = 3.8 dollars
8.9 gallons = $ 33.82
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if you divide a number by 9 and subtract 22 from the result, the answer is 2. write an equation to find the number.
HELP ME PLEASE
MARKING BRAINLIEST .. pls
Answer:
0.5
Step-by-step explanation:
total = 12 marbles
6/12 are red
simplify
1/2 are red
convert
0.5 probibility of picking red.
hope this helps :D
Answer:
Your answer is 50%
Step-by-step explanation:
First we have to find the total marbles. 4+2+6 = 12
After we get the total marbles we just have to divide the red marbles by the total marbles. 6/12
That comes out to be 1/2 or .5 or 50%
help me plssssss it’s due tonight!!
Answer:
B. 3x+1
Step-by-step explanation:
(3x+3)+(2x+1)+(4x+2)=9x+6
(12x+7)-(9x+6)=3x+1
Find the measure of MN
In the given the diagram of a circle, the measure of angle MON is 60°.
What is a circle?A circle is a two-dimensional shape created by a collection of points that are spaced uniformly or uniformly apart from a fixed point (centre) on the plane. The radius of a circle is the fixed distance between each point and the fixed point, which together make up the circle's origin or centre.
All angles add upto 360°
100 + 140 + ∠MOP = 360
∠MOP = 120°
Draw an imaginary straight line extending MO, making MOM'
∠QOM' = 180 - 140
= 40 = ∠MOQ' (vertically opposite)
Draw an imaginary straight line extending NO, making NON'
Draw an imaginary straight line extending PO, making POP'
P'OQ = 180 - 100
= 80 = ∠Q'OP (vertically opposite)
Draw an imaginary straight line extending QO, making QOQ'
P'OM = 60° = M'OP (vertically opposite)
Now, ∠N'OQ = 180 - 60 - 2(40)
= 20°
Then, ∠P'ON' = 80 - 20
= 60
And ∠MON = 40 + 20
= 60°
Hence, In the given the diagram of a circle, the measure of angle MON is 60°.
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make N the subject of formulaP=N+2/d
Answer:
N = Pd - 2
Step-by-step explanation:
P = N + 2/d
Pd = N + 2
Pd - 2 = N
N = Pd - 2
Find the values of x and y in parallelogram PQRS.
PT=y, TR=4x+1, QT=2y, TS=5x+8
The values of x and y in parallelogram PQRS are x =2 and y = 9
How to determine the values of x and y in parallelogram PQRSFrom the question, we have the following parameters that can be used in our computation:
The parallelogram
On the parallelogram, we have the following readings
PT=y, TR=4x+1, QT=2y, TS=5x+8
Rewrite them as
PT= y
TR = 4x + 1
QT = 2y
TS = 5x + 8
Because the point T is the midpoint of the parallelogram, we have
PT = TR
QT = TS
Substitute the known values in the above equation, so, we have the following representation
y = 4x + 1
2y = 5x + 8
This means that
8x + 2 = 5x + 8
Evaluate the like terms
3x = 6
So, we have
x = 2
Substitute x = 2 in y = 4x + 1
y = 4 x 2 + 1
So, we have
y = 9
Hence, the values are 2 and 9
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If the mass of an object is 2kg and the applied force is 26N, calculate the acceleration. ___________m/s/s
Answer:
a = (13 m) / (sec^2)
Step-by-step explanation:
Force equation: F = ma
yields a = F/m
Here F = 26 N and m = 2 kg, so
a = (26 N) / (2 kg) = (13 m) / (sec^2)
Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices $Q\left(-1,\ 3\right),\ R\left(5,\ 2\right),\ S\left(1,-2\right),$ and $T\left(-5,-1\right)$
The coordinates of the intersection of the diagonals of the parallelogram QRST is (0, 1/2)
The coordinates of the parallelogram QRST are:
Q = (-1, 3)
R = (5, 2)
S = (1, -2)
T = (-5, -1)
The diagonals of parallelogram QRST are QS and RT.
Let M be the point of the intersection of the diagonals of the parallelogram QRST
The diagonals of a parallelogram bisect each other.
This means, M is midpoint of diagonals QS and RT.
Consider diagonal QS.
Let (x1, y1) = (-1, 3) and (x2, y2) = (1, -2)
Using midpoint formula the coordinates of M would be,
M = ((x1 + x2)/2, (y1 + y2)/2)
M = ((-1 + 1)/2, (3 - 2)/2)
M = (0/2 , 1/2)
M = (0, 1/2)
Therefore, the point of intersecton of QS and RT is (0, 1/2)
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Solve the system by elimination.
3x + 3 = 3y
2x - 6y = 2
Answer:
The Point Form is: (-2,-1)
Equation form is x= -2, y = -1
Step-by-step explanation:
Answer:
(-2, -1)
Step-by-step explanation:
both equation form: Ax + By = C
3x - 3y = -3 - 2×(3x - 3y = -3) = 6x + 6y = 6
2x - 6y = 2 - Terms opposite = 2x - 6y = 2
( Add) - 4x = 8
divide by -4 = x = -2
Put X value in equations 3(-2) + 3 = 3y and solve -
-6 + 3 = 3y
-3 = 3y
-1 = y
Answer= (-2, -1)
Last Wednesday two friends met up after school to read a book they were both assigned in literature class. Julie can read 3 pages per minute and she has already resd 9 pages. Cassie who has a reading speed of 2 pages per minute, had read 35 pages. Eventually they had read the same number of pages. How many pages had each of them read? How long did it take?
Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
What are linear equations?
A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.
Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.
We can set up the equation:
x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)
x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)
We know that they read the same number of pages, so we can set the two equations equal to each other:
3t + 9 = 2t + 35
We can then solve for t:
t = 26 minutes
So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:
x = 3t + 9 = 3(26) + 9 = 79 pages
Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
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Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
What are linear equations?
A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.
Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.
We can set up the equation:
x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)
x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)
We know that they read the same number of pages, so we can set the two equations equal to each other:
3t + 9 = 2t + 35
We can then solve for t:
t = 26 minutes
So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:
x = 3t + 9 = 3(26) + 9 = 79 pages
Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
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Please help will mark brainliest
Answer:
544
Step-by-step explanation:
You can Section the figure off into 3 and find the area of each. The sum was cut off in the image, but the total is 544 :)
Step-by-step explanation:
First, solve the volume of the solid without the groove:
V1 = (14 cm)(8 cm)(6cm) = 672 cm^3
Now solve for the volume of the groove:
V2 = (8 cm)(8 cm)(2 cm) = 128 cm^3
The volume of the block that Goran made is
V = V1 - V2 = 544 cm^3
Help!!!!!!!!!!!!!!!!!!!!!!!!!!
Similar
Step-by-step explanation:
The triangles are similar. They just put it upside down.
Answer:
Similar
Step-by-step explanation:
Find the number of the degree of this polynomial.(please)
Answer:
2 is the highest degree because it's the only exponent
is the following relation a function explain. (1,3) (1,0), (1,-2) (1,8)
9514 1404 393
Answer:
NO
Step-by-step explanation:
If input values are repeated, the relation is not a function. A function has only one output value for any input value.
Here, an input of 1 has 4 output values—not a function.
hii! please help i’ll give brainliest
Answer:
Bukhara
Hope this helps!
--Applepi101
What is the measure of angle OAC if major arc AB measures 220 degrees?
55°
70°
110°
140°
I already know the answer is 55 but I need to know why and how to get 55?
Therefore , the solution of the given problem of triangle comes out to be
OAC angle arc is = 55 degrees.
What is triangle?Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.
Here,
Half of the arc AB is the measure of angle OAC, hence the measure of angle OAC is:
OAC = 0.5 times 220 degrees.
110 degrees is OAC.
If the angle OAC is measured as a quarter of an arc AB, then the angle OAC is measured as follows:
OAC equals 0.25 x 220 degrees
OAC = 55 degrees
Therefore , the solution of the given problem of triangle comes out to be
OAC angle arc is = 55 degrees.
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I need help with this please
Answer:
[tex]\dfrac{15}{6}[/tex]
Step-by-step explanation:
3 can be represented as [tex]\dfrac{3}{1}[/tex] because any number divided by 1 is itself.
Therefore,
[tex]\dfrac{5}{6} \times 3[/tex]
can be written as:
[tex]\dfrac{5}{6} \times \dfrac{3}{1}[/tex]
To multiply these fractions, simply multiply their numerators and their denominators.
[tex]\dfrac{5 \times 3}{6 \times 1}[/tex]
[tex]\dfrac{15}{6}[/tex]
Lionel purchases 1-pound bags of each of the five seeds and nuts shown in the table. Of the following, which best approximates the average (arithmetic mean) number of calories per bag?
(1 pound = 16 ounces)
A)150
(B)250
C) 1,500
D) 2,500
The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.
What is an arithmetic average?In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the arithmetic average for the number of calories per bag?Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:
Arithmetic average = [F(x)]/n
Next, we would determine the total number of calories and then convert to ounces:
Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185
Total number of calories, F(x) = 788 calories.
Note: 1 pound = 16 ounces.
Total number of calories, F(x) = 788 calories × 16 ounces
Total number of calories, F(x) = 12,608 calories.
Now, we can calculate the arithmetic average for the number of calories per bag:
Arithmetic average = [F(x)]/n
Arithmetic average = 12,608/5
Arithmetic average = 2,521.6 ≈ 2,500.
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One zero of f(x)=x^3-2x^2-5+6 is 1 what are the other zeros of the function
Answer:
the other zeros of this function are {-2, 3}
Step-by-step explanation:
Use synthetic division to find the roots. The coefficients of this cubic function are 1, -2, -5, 6, and we begin by using 1 as our first divisor:
1 / 1 -2 -5 6
+1 -1 -6
--------------------------
1 -1 -6 0
Because the remainder is zero (0), we can conclude that 1 is indeed a root of the given polynomial. The quotient is 1x^2 - 1x - 6, whose roots can be found either through synthetic division or factoring. In this case the factors are (x - 3) and (x + 2), so the other zeros of this function are {-2, 3}.
Bella has a cell phone plan in which she pays of each call minute and text message she sends. The total number of minutes used and text messages sent last month was 561. If call minutes cost 8€ each and text messages cost 5€ each and her pill was $34. 26, how many minutes did she use?
If the total number of minutes used and text messages sent last month was 561 , then the number of minutes she use is 207 minutes .
The total number of minutes used and text messages is = 561 ;
the cost for per minute cost is = 8 cents ;
the cost for per text message is = 5 cents ;
Bella's total bill amount is = $34.26 = 3426 cents
let the number of minutes used be = x minutes ; and
let the number of text messages be = y ;
So ,According to the question ,
the equations representing the situations are ,
[tex]x+y=561[/tex] and [tex]8x+5y=3426[/tex]
Substituting the values of [tex]y=561-x[/tex] in the equation [tex]8x+5y=3426[/tex] ,
we get ;
[tex]8x + 5(561-x)= 3426[/tex]
On solving ,
we get ; x = 207 minutes ;
So , the number of text messages (y) = [tex]561-207[/tex]
= 354 text messages.
Therefore , the number of minutes is = 207 minutes .
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On a hot summer day, jay set up a lemonade stand. He kept track of how many glasses he sold on his phone
A. Write two equations that relate the number of large glasses sold i and the number of small glasses sold s. ?
B. Solve the system of equations
C. How many small glasses were sold?
D. How many large glasses were sold?
On solving the provided question, we can say that - the value of the linear equation is 2y+8x = 140
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
here, we have 2y + 8x
and x = 10 ; y = 15
2y + 8x
20 + 120 = 140
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Two boats are traveling toward a cliff that is 225 feet above sea level. When the two boats are exactly 200 feet apart, the boat closest to the cliff has an angle of elevation to the top of the cliff of 36 degree, as shown.
Answer:
[tex]x=23.82^o[/tex]
Step-by-step explanation:
[tex]Solve ~for~x, first ~ we~ need ~ to ~know~y[/tex]
[tex]tan~36=\frac{225}{y}[/tex]
[tex]y=\frac{225}{tan ~36}[/tex]
[tex]y=309.6859321[/tex]
[tex]tan(x)=\frac{225}{y+200}[/tex]
[tex]x=tan^{-1}(\frac{225}{309.6858321}[/tex]
[tex]x=23.81898048[/tex]
[tex]x=23.82^o[/tex]
------------------------
hope it helps...
have a great day!!
23.82° is derived as the value of x according to nthe diagram shown.
What is Angle of elevation?
This is referred to the angle from the horizontal upward area to an object.It is measured in degrees.
36 = 225/y
y = 225/tan 36
= 309.686.
tan(x) = 225 / y+200
x = tan -1 (225/309.686)
x = 23.82
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