What do you think about given set of ordered pairs?
{ (-2, 1), (-1, 0 ) , ( 1, 0), (2, 0 ) }
Responses
A-It is a function.
B-It is a relation but not a function.
Note that the given set of ordered pairs are an example of a mathematical function. (Option A)
What is an ordered pair?An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. By situating a point on the Cartesian plane, it enhances visual comprehension. The numeric values of an ordered pair might be integers or fractions.
A function is a collection of ordered pairs in which each input (or "x" value) corresponds to exactly one output (or "y" value). In this provided set of ordered pairs: (-2, 1), (-1, 0), (1, 0), (2, 0), there is only one matching value of y for each value of x.
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A regular hexagonal prism having one side of base is 4cm and its height is 20cm,find its total surface area.
Use this formula
total surface area=lateral surface area+2base area
Or in short form
TSA=LSA+2BA
Answer as soon as possible
Answer:240√3cm³
Step-by-step explanation: The base is a regular hexagon. We can divide the base into 6 equilateral triangles.
Each equilateral triangle has side a=4cm. Hence the area of the base is B⇒ 6×√3÷4×4² ⇒ 24√3
This implies that V = B×h = 24√3 × 10 = 240√3cm³
Math 5th grade
The rule for an input/output table is output = x + 2
The output for the expression x+2 will be;
0 = 2
1 = 3
2 = 4
3 = 5
What are functions?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
Using the function Output = x + 2
For input x = 0
Output = 0 + 2
Output = 2
For input x = 1
Output = 1 + 2
Output = 3
For input x = 2
Output = 2 + 2
Output = 4
For input x = 3
Output = 3 + 2
Output = 5
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Take away 3/5 from 7/10?
Answer:
To subtract or add a fraction you must first find a common deniminator between the two.
you can use 10 as a common denomonator in this case.
3 x 2 = 6
5 x 2 = 10
your new fraction to replace 3/5 is 6/10
Now, your equation would be 7/10 - 6/10 = 1/10
Your answer is 1/10
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line represented by the graph is -3
How to determine the slope of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following readings (when the lines representing the rise and the run are drawn)
Length of rise = -9
Length of run = 3
The slope of the line is then calculated as
Slope = Length of rise/Length of run
Substitute the known values in the above equation, so, we have the following representation
Slope = -9/3
Evaluate the quotient
Slope = -3
Hence, the line has a slope of -3
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In the table below, the x-values
are proportional to the y-values. Find
the missing y-value.
X
5
7
y
10
The value of y from the given table is 14.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, the x-values are proportional to the y-values.
Where, x=5 and y=10
Now, x=7
Here, x∝y
x=ky
5=10k
k=1/2
So, x=1/2y
y=2x
Substitute x=7 in y=2x, we get
y=14
Therefore, the value of y is 14.
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P=500 R=10% T=??? I=$10
Answer:
Given,
P=500
R=10percent
I=10
T=?
We know,
Time=100×i / R×P
= 100×10 / 10×500
= 1000/ 5000
= 5
therefore time is 5 years!!
What are the roots of the quadratic function f(q) = q^2- 125?
The roots of the given quadratic function are obtained as 5√5 and -5√5 respectively.
What is a quadratic equation?The general form of a quadratic equation is given as ax^2 + bx + c = 0.
Here, a ≠ 0 and b and c are integers.
The degree of a quadratic equation is 2.
The given quadratic function is f(q) = q² - 125
Its roots can be found by equating it to zero as,
q² - 125 = 0
Apply the identity a² - b² to factorize as,
⇒ (q - √125)(q +√125) = 0
⇒ (q - 5√5)(q + 5√5) = 0
⇒ q = 5√5, -5√5
Hence, the roots are given as 5√5 and -5√5 respectively.
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the loth term of the arithmetic sequence 3x + 1, x + 4, -x + 7,
The 10th term of the arithmetic sequence will be x + 4
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
The 10th term of the arithmetic sequence will be
= a + 9d
We are given the arithmetic sequence 3x + 1, x + 4, -x + 7,
where a = 3x + 4
d = x + 4- (3x + 1)
= x + 4 - 3x - 1
= -2x + 3
Therefore, a + 9d = 3x + 1 + (-2x + 3)
= 3x + 1 - 2x + 3
= 3x - 2x + 4
= x + 4
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Is (1, 1) a solution to this system of equations?
6x + 14y = 20
8x + y = 6.
yes
no
No, this is not the solution for the following system of equation
What is system of equation?
When two or more equations are solved simultaneously, they are referred to be a system of equations. The objective is to identify the values of the variables that satisfy each of the equations in the system. These equations frequently have many variables.
Here is an illustration of a set of equations:
x + y = 7
x - y = 1
To determine whether a given point (x, y) is a solution to a system of equations, we need to substitute the values of x and y into the equations of the system and see whether the equations are satisfied.
In this case, we want to check if (1, 1) is a solution to the system of equations:
6x + 14y = 20
8x + y = 6
We substitute the given x and y values into the system of equations:
6(1) + 14(1) = 20
8(1) + 1 = 9
And see if the two equations are true
6 + 14 = 20 is true
8 + 1 = 6 is false
So (1, 1) is not a solution to the system of equations.
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A number line shows
[tex]1 \frac{1}{4} [/tex]
,
[tex] - 2\frac{2}{4} [/tex]
and
[tex]1 \frac{3}{4} [/tex]
which statement is NOT true?
The statement which is not true; B [tex]1 \frac{1}{4} ,[/tex] is less than negative of [tex]- 2\frac{2}{4}[/tex] because [tex]1 \frac{1}{4} ,[/tex] is located to the right of - [tex]- 2\frac{2}{4}[/tex] on the number line.
What is a number line?Integers are arranged at equal intervals along horizontal straight lines called number lines. A number line can be used to represent every number in a series. The endpoints of this line go on forever. Some will have a defined beginning and end. It refers to those as closed number lines. Number lines might be alternatively left empty or blank. A number ladder is a vertical number line.
We need to find number line that shows [tex]1 \frac{1}{4} , - 2\frac{2}{4}[/tex] and - [tex]1 \frac{3}{4}[/tex]
which statement is NOT true;
A. [tex]1 \frac{1}{4} ,[/tex] is greater than negative of [tex]1 \frac{3}{4}[/tex] because [tex]1 \frac{1}{4} ,[/tex] is located to the right of - [tex]1 \frac{3}{4}[/tex] on the number line is true statement.
B. This is not true. [tex]1 \frac{1}{4} ,[/tex] is less than negative of [tex]- 2\frac{2}{4}[/tex] because [tex]1 \frac{1}{4} ,[/tex] is located to the right of - [tex]- 2\frac{2}{4}[/tex] on the number line.
The statement which is not true is Option B
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Uniforms are sold in packages of 4. The skating rink's 182 employees will
each be given 3 uniforms. How many packages will the skating rink need
to order?
Answer:
137
Step-by-step explanation:
182 employees x 3 uniforms = 546 uniforms needed
546/4 = 136.5
You can't buy a partial package, so you have to buy 137 packages. You'll have 2 extra uniforms.
Answer: 136.5
Step-by-step explanation:
182 x 3 = 546
546/4 = 136.5
You will have 137 packages with 2 uniforms left over.
11. Write the equation of the line with a slope of 2 that passes through the points (-2,-7) and
(5,7).
y-7=2x+5
y=2x
y=2x+3
y=2x-3
The following table gives you the distribution of marks secured by some students in anexamination. 0-20 21-30 31-40 41-50 51-60 61-70 71-80 no of students: 42 38 120 84 48 36 32 Find (i) Median marks (ii) the percentage of failures, if the minimum for a pass is 35 marks. (Ans. 40.5 and 30.5)
A scale drawing of a square has a side length of 5 centimeters. The drawing has a scale of 1 cm : 5 ft. Find the actual perimeter and area of the square.
area =729 feet square and perimeter = 108 feet
Given the side of a square is 9 cm.
The scale is given as :
1 cm = 3 feet Since 1 cm represents 3 feet.
Therefore, 9 cm will represent = 9 x 3 feet= 27 feet
So the side of the square is 27 feet.Therefore, its area = Side x side= 27 x 27 = 729 feet square
And the perimeter = 4 x side= 4 x 27= 108 feet
What is perimeter?In the conventional system of measurement, an inch is a unit of length. Either in or " can be used to represent length in inches. For instance, 16 in or 16" can be used to write 5 inches. In both the British imperial and American customary systems of measurement, the inch serves as a unit of length. It is equivalent to 1/12 of a foot or 1/36 of a yard. a unit of length that is equivalent to 1/12 foot, or 2.54 centimeters, in length. In the conventional system of measurement, an inch is a unit of length. Either in or " can be used to represent length in inches.To learn more about perimeter refer to:
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Find the slope of the line graphed below.
Answer
-3/7
Step-by-step explanation:
Which of the following inequalities matches the graph?
x>4
x<4
y>4
v<4
The answer choice which correctly represent the inequality that matches the given graph as required is; y < 4.
Which inequality among the answer choices matches the graph?As evident in the task content; the given graph includes a shaded region whose boundary line is parallel to the horizontal axis and has a y-intercept; 4.
On this note, since the given border line is a broken line, it follows that the inequality sign is; > or <.
Ultimately, since the region below the line is shaded, the required inequality is; y < 4.
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What is the solution to this Equation?
Answer: C, 85
Step-by-step explanation:
Hopefully, that is a fourth root :)
Raise the entire equation to the fourth power.
x-4 = 3^4
x - 4 = 81
x = 85
Option C matches the answer
What is the slope of the line in the equation y = -4x + 3?
(no image)
Answer:
-4 is the slope
Step-by-step explanation:
y= mx + b
m being the slope
Hope this helps!
Answer: m= -4
Step-by-step explanation:
y=mx+b
b is your y-intercept
mx is your slope
the equation of y = -4x + 3 would be -4x
Solve.
7. x + 1/4 = 2
Answer:
x=7
Step-by-step explanation:
(x+1)/4=2
x+1=2*4
x+1=8
x=7
21. Higher Order Thinking The flags of all
5 Nordic countries are displayed.
What fraction describes how many more
of the flags displayed are 2-color flags the
are 3-color flags?
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
There are 3 2 colored flags and 2 3 colored flags.
2 colored flags to total flags is 3/5
Dominic says that the product of 827 and 53 is 43,511. Is his answer
correct? Explain.
No, Dominic's answer is incorrect.
To find the product of 827 and 53, you can use the standard multiplication algorithm that you would use for decimal numbers.
First, you need to multiply the rightmost digit of 53, which is 3, by 827. This gives you 2481.
Then, you need to multiply the next digit of 53, which is 5, by 827 and add this result to the previous one. This gives you 43,811.
Therefore, the product of 827 and 53 is 43,811, not 43,511 as Dominic has stated. Dominic's answer is incorrect because he has made an error in the calculation.
An international company has 26,700 employees in one country. If this represents 34.2% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer:
the answer
Step-by-step explanation:
none lol :))))))
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
Answer:The measures of an exterior angle are 21,60°, and an interior angle is 360° in the given regular polygon with 14 sides.
Step-by-step explanation:
Lesson 23: Using Quadratic Expressions in
Vertex Form to Solve Problems
Cool Down: Looking for The Greatest or the Least
1. Without graphing, find the vertex of the graph of a quadratic function defined by
1²-14x-60. Show your reasoning.
2. Does the y-coordinate of the vertex correspond to a maximum or a minimum value
of the function? Explain how you know.
The vertex of the quadratic expression will be at (7, -109). The parabola opens upward, then the minimum value of the expression will be - 109.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The quadratic expression is given below.
⇒ x² - 14x - 60
Convert the expression into a vertex form. Then we have
⇒ x² - 14x - 60
⇒ x² - 14x + 49 - 49 - 60
⇒ (x - 7)² - 109
The vertex of the quadratic expression will be at (7, -109). The parabola opens upward, then the minimum value of the expression will be - 109.
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Denise created a decorative bowl for a display. She carved a piece of
wood into a cylinder with a diameter 15 inches and a height a of 5 inches.
a Then she carved a cone with a diameter of 12 inches and a height of 4
inches from the center of one base of the cylinder.
What is the approximate volume of the wood that forms the decorative
bowl?
The volume of the decorative bowl is V{B} = 233.25π.
What is the volume of a cylinder and a cone?The volume of a cylinder is equivalent to -
V{Cylinder} = πr²h
The volume of a cone is equivalent to -
V{Cone} = 1/3 πr²h
Given is that Denise created a decorative bowl for a display. She carved a piece of wood into a cylinder with a diameter 15 inches and a height a of 5 inches. Then she carved a cone with a diameter of 12 inches and a height of 4 inches from the center of one base of the cylinder.
We can write the volume of the decorative bowl as -
V{B} = V{Cylinder} - V{Cone}
V{B} = πr₁²h₁ - 1/3 πr₂²h₂
V{B} = π{r₁²h₁ - 1/3 r₂²h₂}
V{B} = π{7.5 x 7.5 x 5 - 1/3 x 6 x 6 x 4}
V{B} = π{281.25 - 48}
V{B} = 233.25π
Therefore, the volume of the decorative bowl is V{B} = 233.25π.
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"want to buy a car in 10 years' time. It will cost £10,000. How much money do I need to put in the bank today if the interest rate is 5% (per annum, compound)?"
Help
This picture shows two vectors and with solid grey arrows. There is a third vector shown with a dashed arrow. Its head is near the head of 7. p The third vector is: Select one: A. PI q B. p-q OC. None of the other answers. D. p+q E. d
Correct option is C, the resultant vector will be [tex]\vec{p} + \vec{q}[/tex].
What does a basic math vector mean?A vector is something that possesses both magnitude and direction. A vector is a directed line segment in geometry, with an arrow pointing in the direction and a length equal to the vector's magnitude.
A quantity or phenomenon known as a vector has two distinct properties: magnitude and direction. The phrase also specifies the mathematical or geometrical representation of such a quantity.
Examples of vectors in nature include velocities, moments of inertia, forces, electromagnetic fields, and weight.
Vectors are typically employed in air and sea navigation.
Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
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Given: Lines 1 and 2 are parallel. Line 3 is a transversal.
Which statement justifies that ∠A ≅ ∠C:
A: If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent.
B: If 2 parallel lines are cut by a transversal, then the alternate interior angles are
congruent.
C: If 2 alternate interior angles are congruent, then the lines that have been cut by a
transversal are parallel.
D: If 2 corresponding angles are congruent, then the lines that have been cut by a
transversal are parallel.
A: If 2 parallel lines are cut by a transversal, then the corresponding angles are congruent.
1 The temperature in Moscow is – 8C. The temperature falls by 8degrees. Write down the new temperat
The new temperature of Moscow is - 16°C dropped - 8°C from - 8°C.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The temperature in Moscow is - 8°C.
Now, The temperature falls by 8°C.
Therefore the resultant temperature can be obtained by subtracting the temperature drop from the initial temperature of Moscow which is,
= - 8°C - 8°C.
= - 16°C.
So, The new temperature is - 16°C.
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