Description Interval notation Set builder notation
5. (-∞, -4] {x | x ≤ -4 |
6. (-∞, ∞) { x | x all real numbers }
7. (-11/3, 17/3] { x | x -11/3 < x ≤ 17/3 }
What is interval notation?Continuous sets of real numbers can be represented using interval notation by the numbers that bound them. When written, intervals resemble ordered pairs in several ways.
In interval notation ( ) means open interval, [ ] represents closed interval
Numbers on the square brackets are included in the notation while numbers of the braces (open interval) are not included
Set builder notation is a type of mathematical notation used to describe sets by naming its components or highlighting the requirements that each member of the set must meet.
Set builder notation used curtly brackets to carry out the information.
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if the notch is your basic salary multiplied by twelve, calculate sello's notch.(A)
When your base wage is $20,000, your notch equals your basic salary times twelve, or $240000.
what is variation ?directly varying You have the function y = mx (commonly written y = kx), which is known as a direct variation, in the equation y = mx + b if m is a Variation Theory is a general theory of learning that is mostly utilized in the pedagogy and teaching of mathematics. By emphasizing what remains the same and what changes, it draws attention to a concept's key components and provides the chance to draw connections that are significant.
given
basic salary = 20000
sello notch = basic salary * 12
20000 * 12 = $ 240000
When your base wage is $20,000, your notch equals your basic salary times twelve, or $240000.
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What do you add to 21/4 to make 6
Answer:
[tex]x=\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]x+\frac{21}{4}=6\\4x+21=24\\4x=3\\x=\frac{3}{4}[/tex]
need explaing and working out
ignore squiggly line!
Answer:
for perimeter add 8 17 15 together that probably not helpful lol
Solve the polynomial equation by factoring.
18x³ - 15x² - 9x = 0
help pleaseeeeeeeeeeee
Answer: Roger should pick Printer B because it prints 2 more pages per minute.
Step-by-step explanation: We are given that printer A prints 33 pages per minute. We have to figure out how many pages printer B prints in a minute.
As shown in the table, in 2 minutes, printer B prints 70 pages, and in 3 minutes it prints 105 pages. We can create a function to model the rate at which printer A prints pages. This is a linear function since for each increase in x, there is a proportional increase in y. This means that if we were to back one minute the printer would print 35 pages since the common difference per minute is 35 pages. The function would therefore be p=35m where m=minutes and p=pages. This means that printer B produces 2 more pages than printer A per minute since 33+2=35.
what do you mean logit models
suppose that the function g is defined on the interval (-2, 2] as follows.
The numeric values for the piece-wise function in this problem are given as follows:
g(-1) = -1.g(-0.25) = 0.g(2) = 2.What is a piece-wise function?A piece-wise function is a function that has different definitions, depending on the intervals of the input x of the function.
From the image given at the end of the answer, the function has four definitions, depending on the range of x, hence for each numeric value, we have to first identify the range of x for which the input belongs, and then apply the rule.
Hence the numeric values are given as follows:
g(-1) = -1, as x = -1 belongs to the range -2 < x ≤ -1.g(-0.25) = 0, as x = -0.25 belongs to the range -1 < x ≤ 0.g(2) = 2, as x = 2 belongs to the range 1 < x ≤ 2.Missing InformationThe problem is given by the image presented at the end of the answer.
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Sketch a polygon that will map to itself after a rotation of 60°.
A polygon will map to itself after a rotation of a 60° would be a regular hexagon.
What is a polygon?
A polygon is a closed, two-dimensional geometric shape that is defined by a set of straight lines, called its sides, that are connected end-to-end. The number of sides in a polygon is referred to as its "order" or "degree"
A polygon that maps to itself after a rotation of 60 degrees is called a regular hexagon. A regular hexagon is a polygon with six sides of equal length and six angles of equal measure (120 degrees each).
To sketch a regular hexagon, you can start by drawing a dot in the middle of a piece of paper. From there, use a compass or a straightedge to draw a circle around the dot. Then, use the compass to draw six lines from the center of the circle to the edge of the circle, each line being 60 degrees apart from the other. Finally, connect the endpoints of each line to form a six-sided polygon.
Hence, a polygon will map to itself after a rotation of a 60° would be a regular hexagon.
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Solve the following system of equations graphically on the set of axes below.
y= x-6
y=−3x−2
Answer:
y = 3x - 6
y = -x+2
Step-by-step explanation:
Use a truth table to determine whether the given statement is a tautology.
Yes, the statement is a tautology
How to use a truth table to determine whether a statement is a tautology?
Tautology is a compound proposition that is always true for all possible truth values of its variable. A tautology has only T in the last column of its truth table.
Truth table for p v ~p
p ..... ~p ..... p v ~p
T F T
T F T
F T T
F T T
Since the last column of the truth contains only T, the statement is a tautology
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If Loretta accidentally recorded a deposit of $47.88 as a debit in her register, by how much will her register differ from the bank statement?
If Loretta accidentally recorded a deposit of $47.88 as a debit in her register, her check register will differ from the bank statement by $0.
How is a deposit recorded in the check registered?A deposit amount is debited to the check register as an asset, increasing the amount the account holder has in the bank.
It is the bank's responsibility to credit the deposit since it is a liability to them, not an asset.
Under accounting principles, assets are debited while liabilities are credited. Loretta's debit entry in her register does not constitute an accounting error under the generally-accepted accounting principles.
Thus, Loretta has not committed an accounting error by recording a deposit of $47.88 as a debit in her register, and her register will not differ from the bank statement for this reason.
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Please help me I’m confused and stuck on this
It is a scale factor of 2.
You could see that the JKL triangle has only 4 grids on one side and J'K'L' has 8. So 8/4=2, so, therefore, it is a scale factor of 2. Please correct me if I am wrong.
How do I solve 604 times 33
Answer: To solve 604 times 33, you can use the basic method of multiplication.
You can start by multiplying the ones digit of 604 (4) by the ones digit of 33 (3) to get 12.
Then, you can multiply the tens digit of 604 (0) by the ones digit of 33 (3) to get 0.
Finally, you can multiply the hundreds digit of 604 (6) by the ones digit of 33 (3) to get 18.
To get the final answer, you need to add these three intermediate values (0+12+18) and carry over if necessary:
604 * 33 = 20,012
You can also use long multiplication method, which is breaking down the multiplication problem into simpler problems.
Or use a calculator or computer.
Step-by-step explanation:
Answer: 12207032501220703250122070325012207032501220703250122070325012207032501220703250
Step-by-step explanation:
1220703250122070325012207032501220703250
Please help!!!!! i need this by 7!!!
a rectangular lawn measuring 8 m by 4 m is surrounded by a flower bed of uniform with. the combined of the lawn and the flower bed is 140 M what is the width of the flower bed
The width of the flower bed is 3m.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Rectangular lawn = 8m x 4m
The flower bed dimensions are:
Length = (8m + x)
Width = x
The combined area of lawn and flower bed area = 140 m²
(8 + 2x) x (4 + 2x) = 140
32 + 16x + 8x + 4x² = 140
4x² + 24x + 32 - 140 = 0
4x² + 24x - 108 = 0
4 (x² + 6x - 27) = 0
x² + 6x - 27 = 0
x² + (9 - 3) - 27 = 0
x² + 9x - 3x - 27 = 0
x(x + 9) - 3(x + 9) = 0
(x + 9) (x - 3) = 0
x + 9 = 0
x = -9 (rejected)
x - 3 = 0
x = 3
Thus,
The width of the flower is 3m.
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saif rents a villa for him and his friend how much does 1 night cost
Answer:
2 times the cost
Step-by-step explanation:
1 persona 1 costs
2 persons, double the cost
PLEASE HELP !! ( question attached )
Part (a)
[tex](CG)(CE)=(CH)(CD)[/tex]
Part (b)
It is possible to find the length of [tex]\overline{DH}[/tex].
[tex](CG)(CG+GE)=(CH)(CH+DH) \\ \\ (3)(3+5)=(2)(2+DH) \\ \\ 24=2(2+DH) \\ \\ 12=2+DH \\ \\ DH=\boxed{10}[/tex]
a. Is it possible for a line (y = mx + b) that passes through the origin to pass through
no other rational points? If you believe so, give an example.
b. Is it possible for a line to pass through no rational points? If you believe so, give an
example.
a. Yes, it is possible for a line (y = mx + b) that passes through the origin (0, 0) to pass through no other rational points. An example of such a line is y = sqrt(2)x. This line passes through the origin (0,0), but the y-coordinate will only be a rational number if the x-coordinate is also a rational number and a perfect square.
b. Yes, it is possible for a line to pass through no rational points. An example of such a line is y = sqrt(2)x + sqrt(3). This line will never pass through any rational points because the y-coordinate will only be a rational number if both x and b are rational numbers and perfect squares, which is not possible in this case.
Find the area if the figure please help
Answer:
[tex]A = 125 \textrm{ yd}^2[/tex]
Step-by-step explanation:
The area of a triangle can be solved for using the formula:
[tex]A_\triangle = \dfrac{1}{2}b h[/tex]
where [tex]b[/tex] is the length of the triangle's base and [tex]h[/tex] is the length of its height (altitude).
Both [tex]b[/tex] and [tex]h[/tex] are given to us for the shown triangle, so all we have to do is plug the given values into the triangle area formula above.
[tex]A = \dfrac{1}{2} \cdot 10 \cdot 25[/tex]
[tex]A = 5 \cdot 25[/tex]
[tex]A = 125 \textrm{ yd}^2[/tex]
Note that the height of the triangle is given on the outline of an auxiliary (dotted) right triangle. This is just to show that the height is in fact an altitude, meaning it is perpendicular to the base, not at the angle of the triangle's other sides.
A chess board is made using the ratio of square length to king's height, 2.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square?
0.75 inch
1.25 inches
2.25 inches
4.75 inches
Find the value of tan T rounded to the nearest hundredth, if...
The measure of the tan of the angle T is 3.4286
How to determine the measure of the tan of the angle TFrom the question, we have the following parameters that can be used in our computation:
Opposite = RS
Hypotenuse = 50
Adjacent = 14
The opposite of the angle T can be calculated as
Hypotenuse² = Opposite² + Adjacent²
Substitute the known values in the above equation, so, we have the following representation
50² = RS² + 14²
Evaluate the like terms
RS² = 2304
Take the square root of both sides
RS² = 48
The measure of the tan of the angle T is then calculated as
tan(T) = RS/Adjacent
Substitute the known values in the above equation, so, we have the following representation
tan(T) = 48/14
Evaluate
tan(T) = 3.4286
Hence, the value is 3.4286
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find the equation of the lines on the graph
The equation of the line in slope intercept form is y = 1 / 2 x - 3 / 2.
How to find the equation of a line?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptLet's find the slope of the line using the coordinates.
Therefore, using (-1, -2) and (-5, -4)
Hence, the slope of a line is the change in the dependent variable with respect to the change in the independent variable.
Therefore,
m = -4 + 2 / -5 + 1
m = - 2 / -4
m = 1 / 2
Therefore, let's find the y-intercept using (-1, -2)
y = 1 / 2 x + b
-2 = 1 / 2 (-1) + b
-2 + 1 / 2 = b
- 3 / 2 = b
Therefore, the equation of the line is y = 1 / 2 x - 3 / 2.
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The parent function is represented by f(x)
linear operations When the function's degree is 1 and it depicts a straight line, the expression is f(x) is x .
What is a parent function used for?The simplest function in a family of functions that yet retains the definition (or form) of the entire family is known as a parent function in mathematics.
The most basic form of an equation in a family of functions is a parent function. There are several types of parent functions, including: linear operations When the function's degree is 1 and it depicts a straight line, the expression is f(x)=x f (x) = x.
y(x) = x is the linear parent function to keep in mind. This is the function's simplest, most fundamental version.
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What are the steps i need to do to get the answer please don't give me the answer i want to learn please be as descriptive as possible so i can look up terms if i don't understand
Answer:
I disagree
Step-by-step explanation:
[tex] \frac{ {2a}^{2} {b}^{2} \times ( - 3 {a}^{2} {b}^{2}) }{6ab \times {9a}^{2} {b}^{2} } \\ \frac{ {2a}^{2} {b}^{2} \times {9a}^{4} {b}^{4} }{6ab \times 9 {a}^{2} {b}^{2} } \\ \frac{18 {a}^{2 + 4} {b}^{2 + 4} }{54 {a}^{2 + 1} {b}^{2 + 1} } \\ \frac{18 {a}^{6} {b}^{6} }{54 {a}^{3} {b}^{3} } \\ \frac{1}{3} {a}^{6 - 3} {b}^{6 - 3} \\ \frac{1}{3} {a}^{3} {b}^{3} [/tex]
Hope this helps
Rewrite the following equation in slope-intercept form
10x - 12y = 1
Answer:
y = 5/6x - 1/12
Step-by-step explanation:
The slope-intercept form is y = mx + b
10x - 12y = 1
We subtracted 10x from both sides
-12y = -10x + 1
Divided by -12 both sides
y = -10/-12x - 1/12
To simplify we can get
y = 5/6x - 1/12
please help me understand this
The value of a is 3√3/2 and value of b is 3/2. The solution has obtained using the trigonometry formulas.
What is trigonometry?
The study of the right-angle triangle's sides, angles, and connection is the main focus of the field of mathematics known as "trigonometry." Therefore, it helps to find the unknown or missing angles or sides of a right triangle using the trigonometric formulas, functions, or trigonometric identities. The angles in trigonometry can either be expressed in degrees or radians. The most used trigonometric angles for computations include 0, 30, 45, 60, and 90 degrees.
In the figure, we are given that one angle measures 30° and the other measures 90° and the hypotenuse is 3.
So, using trigonometry, we know that
Cos theta = adjacent side/hypotenuse
And, Cos 30° is √3/2
So,
⇒√3/2 = a/3
⇒a= 3√3/2
Sin theta = opposite side/hypotenuse
And, Sin 30° is 1/2
So,
⇒1/2 = b/3
⇒b= 3/2
Hence, the value of a is 3√3/2 and value of b is 3/2.
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Together, saturn, jupiter, and mars have a total of 36 known satellites (moons). Jupiter has 2 fewer satellites than saturn, mars has 16 fewer satellites than saturn. How many known satellites does saturn have?
Answer:
18 sattelites
Step-by-step explanation:
Let's make an equation
n is number of sattelites on Saturn
n-2 is number of sattelites on Jupiter
n-16 is number of sattelites on Mars
Equation would be like:
n+(n-2)+(n-16)=36
3n-18=36
3n=54
n=18
Ivan used coordinate geometry to prove that quadrilateral EFGH is a square. Which of the following completes statement 4 of the proof?
A. EF, FG, GH, and EH are congruent
B. EF || GH
C. EH || FG
D. FG and EH are perpendicular to GH
The statement that complete the proof that quadrilateral EFGH is a square is; A) Line EF, FG, GH, and EH are congruent
How to complete the square congruency proof?The four sides of a square are always congruent to each other which means that they are equal to each other.
Now, we see that;
EF = 3√2
GH = 3√2
FH =3√2
EH = 3√2
Thus, all four sides are equal.
We also see that the slopes that form 90 degrees with each other are perpendicular and as such that is also a requirement for the quadrilateral to be a square.
Thus, we can conclude that all four sides are congruent to each other from the evidence above.
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Answer:
Statement 4 of the proof should be:
segment EH is parallel to segment FG
Step-by-step explanation:
They have the same slope which is -1.
7 in
25 in
24 in
Cómo puedo encontrar el
Are del triángulo
Therefore ,the solution of the given problem of triangle comes out to be
area is 84 inch square.
Describe the triangle.Since a triangle has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker assigned to a triangle that has edges A, B, and C. So when three components are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and triple corners. The points where the three parts meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.
Here,
Given : 7 inch , 25 inch and 24 inch.
To find the area of the triangle :
vertices are 7inch , 25inch and 24inch
Since from given vertices we can see it is an right angle triangle:
thus,
=> Area = 1/2 * base * height
=> Area = 1/2 * 24 * 7
=> Area = 12*7
=> Area = 84 inch square
Therefore ,the solution of the given problem of triangle comes out to be
area is 84 inch square.
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Use Desmond to graph the following system of inequalities.
y≤ 1/4x +3
y ≥-x+2
Then choose the following points that are solutions to the system.
A.(0,0)
B.(2,1)
C.(3,3)
D.(-1,1)
E.(0,1)
Answer:
B, C
Step-by-step explanation:
You want to graph the inequalities y≤1/4x+3 and y≥-x+2 and identify points that are solutions to the system.
GraphThe graph is attached. It matches selection B of the graphs you are shown. The points that lie in the solution area are B(2, 1) and C(3, 3).
What is 5 17/18 - 2 /23
Answer:
the answer is 54 to the question 5 17 18 -2 23