the visualization below shows voting patterns in the united states, canada, and mexico in the united nations general assembly on a variety of issues. specifically, for a given year between 1946 and 2015, it displays the percentage of roll calls in which the country voted yes for each issue. this visualization was constructed based on a dataset where each observation is a country/year pair.1
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(a) List of variables is Years, Country, Arms control and disarmament, colonialism, economic development, human rights, nuclear weapons, and materials, and Palestinian conflict.
(b) Each variable is numeric if the variable assumes number values and it will be categorical if it assumes labels.
(a) The list of variables is:
The variables that can be used in this visualization can be Years, Country, Percentage that said yes, Arms control and disarmament, colonialism, economic development, human rights, nuclear weapons, and materials, and Palestinian conflict.
(b) Category of different variables:
Years: Numerical and discrete
years are number values but the voting has not been done in the same interval so it is a numerical and discrete variable.
Country: Categorical and not ordinal
country name assumes as labels hence it is a categorical variable.
The percentage that said yes: Numerical and continuous
The percentage indicates number values so it is a numerical value.
And following is also assumed as a label so these are also categorical values:
Arms control and disarmament: categorical and not ordinal
colonialism: categorical and not ordinal
economic development: categorical and ordinal
human rights: categorical and ordinal
Nuclear weapons and materials: categorical and not ordinal.
Palestinian conflict: Categorical and not ordinal
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The complete question is:
the visualization below shows voting patterns in the united states, Canada, and Mexico in the united nations general assembly on a variety of issues. specifically, for a given year between 1946 and 2015, it displays the percentage of roll calls in which the country voted yes for each issue. this visualization was constructed based on a dataset where each observation is a country/year pair.
1) List the variables used to create this visualization.
2) Indicate wheater each variable in the study is numerical or categorical. If numerical, identify as continuous or discrete. If categorical, identify as the variable is ordinal.
Related Questions
Consider two boxes, one containing 3 blue and 2 red marbles, the other contains 3 blue and 5 red marbles. A box is selected at random (i.e. 50:50 chance of selecting either box), and a marble is drawn from it at random. Part a) What is the probability that the selected marble is blue? Do NOT round your answer. Create a variable pB that stores the value of this probability. That is, write your answer as
pb =
Answers
Probability of getting a marble is 0.3.
Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event. measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events. The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.
Two boxes Probability of selecting either of the box = 0.5
Box A contains: 3 blue and 2 red marbles. So, probability of selecting blue marbles,
let p(B1) = [3C1/5C1 ]= 0.6*0.5 = 0.3 (As Probability of selecting box 1 is 50:50 )
Box contains : 3 blue and 5 red marbles,
let p(B2) = [3C2/5C2] = 0.6*0.5 = 0.3 ( As the probability of selecting box 2 is also 50:50 )
So, the final probability of getting a blue ball is 0.3.
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Probability of getting a marble is 0.3.
Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event. measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events. The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.
Two boxes Probability of selecting either of the box = 0.5
Box A contains: 3 blue and 2 red marbles. So, probability of selecting blue marbles,
let p(B1) = [3C1/5C1 ]= 0.6*0.5 = 0.3 (As Probability of selecting box 1 is 50:50 )
Box contains : 3 blue and 5 red marbles,
let p(B2) = [3C2/5C2] = 0.6*0.5 = 0.3 ( As the probability of selecting box 2 is also 50:50 )
So, the final probability of getting a blue ball is 0.3.
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NO LINKS!!
Write a function given the conditions noted below.
Answers
Answer:
[tex]\textsf{36)} \quad f(x)=\dfrac{7x}{x-12}[/tex]
[tex]\textsf{37)} \quad g(x)=\dfrac{1}{x+2}[/tex]
[tex]\textsf{38)} \quad h(x)=\dfrac{x-2}{(x-2)(x+3)}[/tex]
Step-by-step explanation:
Vertical AsymptotesEquation: x = aA vertical asymptote occurs at the x-value(s) that make the denominator of a rational function zero.Horizontal AsymptotesEquation: y = bIf the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0.If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote (but there is a slant asymptote).If the degree of the numerator is equal to the degree of the denominator, the asymptote is the result of dividing the highest degree term of the numerator by the highest degree term of the denominator.Question 36Given that the function has a horizontal asymptote at y = 7, the degree of the numerator must be equal to the degree of the denominator.
Also, 7 will be the result of dividing the highest degree term of the numerator by the highest degree term of the denominator.
Given that the function has a vertical asymptote at x = 12, the denominator must equal zero when x = 12.
Therefore, a rational function that meets these conditions is:
[tex]f(x)=\dfrac{7x}{x-12}[/tex]
Question 37Given limits:
[tex]\displaystyle \lim_{x \to\infty} k(x)=0[/tex]
[tex]\displaystyle \lim_{x \to-2^+} k(x)=\infty[/tex]
The first limit means that as x approaches positive infinity, the function equals zero. Therefore, the rational function has a horizontal asymptote at y = 0. So the degree of the numerator should be less than the degree of the denominator.
The second limit means that as x approaches -2 from the positive side, the function equals positive infinity. Therefore, the rational function has a vertical asymptote at x = -2.
Therefore, a rational function that meets these conditions is:
[tex]g(x)=\dfrac{1}{x+2}[/tex]
Question 38A removable discontinuity (hole) exists on the graph of a rational function at any input value that causes both the numerator and denominator of the function to be equal.
Therefore, a rational function that meets these conditions is:
[tex]h(x)=\dfrac{x-2}{(x-2)(x+3)}[/tex]
For this rational function the hole is at (2, ¹/₅), as when x = 2, the numerator and denominator are both zero.
The functions can be represented as y = 7x/(x - 7), y = 1/(x + 2) and y = (x - 3)/[(x - 3)(x + 1)]
How to determine the functionsConditions #1
From the question, we have the following parameters that can be used in our computation:
Vertical asymptote, x = 12
Horizontal asymptote, y = 7
A function with the following features
Vertical asymptote, x = a
Horizontal asymptote, y = b
Can be represented as
y = bx/x - a
So, we have
y = 7x/(x - 12)
Conditions #2
Here, we have the following limits
lim x⇒∝ k(x) = 0 and lim x⇒2⁺ k(x) = ∝
This means that:
Vertical asymptote, x = -2
Using the rule in (1), we have
y = 1/(x + 2)
Condition #3
Here, we have
Function with a hole
This implies that the denominator and the numerator have a common factor
An instance of this is
y = (x - 3)/[(x - 3)(x + 1)]
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the liquid-filled prism is placed in a large tank containing a different liquid and sinks to the bottom of the tank. fx is the magnitude of the buoyant force exerted on the prism by the liquid in the tank when the prism is in orientation x . fy and fz are the buoyant forces for orientations y and z . which of the following correctly ranks the three buoyant forces?
Answers
The buoyant force is the upward force on an object submerged in a fluid that is caused by the fluid's pressure.
The magnitude of the buoyant force is equal to the weight of the displaced fluid. Therefore, the correct ranking of the three buoyant forces is fx > fy > fz.
The magnitude of the buoyant force can be calculated using the equation Fb = ρgV, where ρ is the density of the fluid, g is the acceleration due to gravity, and V is the volume of the displaced fluid. For orientation x, the buoyant force fx will be the greatest since the volume of the displaced fluid is the greatest. For orientation y, the buoyant force fy will be the second greatest since the volume of the displaced fluid is second greatest. Finally, for orientation z, the buoyant force fz will be the least since the volume of the displaced fluid is the least.
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f(x) = 3x and g(x) = x − 1, find (gof)(− 2)
Answers
The solution is g(ƒ(-2)) = 9.
What is meant by solution?
Any mixture of one or more solutes that have been dissolved in a solvent is referred to as a solution. To create a homogenous mixture, a solute must dissolve in a solvent.To create a homogenous mixture, a solute must dissolve in a solvent.In chemistry, a solution is a homogeneous mixture of two or more compounds in their relative proportions. The composition of the solution can be continually changed up to the solubility limit.Although solutions of gases and solids are possible, the term "solution" is most frequently used to refer to the liquid condition of matter.A homogenous mixture of two or more components with particles smaller than 1 nm is referred to as a solution.{g∘f}(2) = g(f(-2))
g(-2) = -6
ƒ(-6) = 2x - 1
ƒ(-6) = -2(-6) - 1
ƒ(-6) = 13
ƒ(g(2)) = 13
{f∘g(-2) = f(g(-2))
ƒ(2) = 3
g(3) = -3x
g(3) = -3(-3)
g(3) = -9
g(ƒ(-2)) = 9
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Determine the shaded area
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The shaded area is 169.56 inch² for the given set of semicircles with radius 6 inch and 12 inch.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a shape or planar lamina. The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. Draw a square on a piece of paper with a pencil. It is a two-dimensional figure. The area of the shape on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
Here,
area1=1/2*3.14*r²
=0.5*3.14*12²
area2=1/2*3.14*r²
=0.5*3.14*6²
area=area1-area2
=0.5*3.14*12²-0.5*3.14*6²
=169.56 inch²
The shaded area for the given set of semicircles with radius 6 inch and 12 inch is 169.56 inch².
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Here is a number line from 0 to 1
0--------0.2A
a) Write a fraction with a denominator of 10 that could go after B on the number line. b) Write a fraction with a denominator of 100 that could go before A on the number line. c) Write three fractions that could be in between A and B on the number line. 0 Compare answers with a partner.
Answers
Answer:
0.1 ,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9, 1
consider a circle of radius 2 centered at the origin. find parameterizations of this curve under the following assumption. clearly state any restriction on the variable of parametrization
Answers
As per the given radius, the parameterizations of this curve is 4
The term curve in math is defined as an abstract term used to describe the path of a continuously moving point
Here we have given that consider a circle of radius 2 centered at the origin.
And we have to find the parameterizations of this curve under the following assumption.
Here we have know that we need to find a parameterization for the circle of radius 2 in the xy-plane that one is centered at the origin at the direction of clockwise.
=> x(t) = 2cos(t) ------------------(1)
and
=> y(t) = −2sin(t) -----------------(2)
Here we have to note that the given expression is written as,
=> x²(t) + y²(t)
When we apply the values on it then we get
=4cos²t + 4sin²t
Then it can be written as,
=> 4(cos²t + sin²t)
=> 4
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Which set of bowling scores has a median of 149 and a range of 21?
Answers
median set:130,140,149,150,159.Range set:10,20,149,159.
Step-by-step explanation:
Median:the value of a set that is arranged from lowest to highest and find the number that is right in between.If there are two numbers in the middle,add them and divide➗by two.Range:the difference between the highest and lowest number in a set.For example,the range for the set 10 20,38 and 50 , the highest and lowest numbers are 50 and 10 so we subtract 50-10 (the highest and lowest numbers) and get 40 as our range.
Give two reasons. why this shape is a square when x = 6
Answers
The two reasons why the shape is a square when x = 6 are:
i. It's length of sides are equal.
ii. The measure of it's internal angles are right angle.
Properties of a square.A figure that is bounded by four straight sides on a 2 dimensional plane can be categorize as a quadrilateral. Examples are; rectangle, trapezium, rhombus, square etc.
A square is a shape which has an equal length of sides, and other distinguishing properties.
Considering the given question, when x = 6;
a. (3x - 7) = 3(6) - 7
= 18 - 7
= 11
b. (x + 5) = 6 + 5
= 11
Therefore its sides are congruent.
Thus, the two reasons why the shape is a square are:
i. It has equal length of sides.
ii. It can be observed that each angle of the figure is a right angle.
So that the figure is a square.
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- Deondra has $32. She buys 4 movie
tickets for $6.25 each. How much money
does she have left to spend on popcorn?
Answers
Answer:
Okay so Deondra has a total of $32, and if she buys 4 tickets, and if each costs 6.25, then, you will multiply the amount in which each ticket costs by how many tickets total, and then subtract that quotient by the total amount of money Deondra has.
6.25 times 4 = 25
32 - 25 = 7
She has $7 left to spend on popcorn!
Step-by-step explanation:
Hope it helps! =D
anyone know part 1 of this question ?
Answers
Answer:
14
Step-by-step explanation:
I don't know it right now
Sample of 10 medical bills is selected, what is the probability that 0 medical bills will contain errors
Answers
You have a 39.6% chance of winning according to the binomial distribution, it has been discovered.
Calculate probability?Only two outcomes are conceivable for each trial. You either succeed or fail in hitting the target. The binomial distribution is used to answer this question because the likelihood that a target will be struck on any given trial is independent of all other trials.
It is determined by the number of unique combinations of x objects from a set of n elements and the likelihood of striking the objective, which is 63%, and is expressed as the probability of exactly x successes on n repeated trials with p probability.
hence, two throws
The likelihood is P(X = 2) since you must strike it twice to win.
0.396 = 39.6%
The complete question is,
Considering the circumstances, what is your likelihood of success: A plush animal is what you're attempting to win. To succeed, a target must be hit twice straight. It is 63% likely that you will succeed on your first attempt.
O 23.3% \sO 63%
O 106% \sO 39.6%.
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Jake was golfing and had an incredible day. His scores were "-12,3,-5,2,0" and "-8." What is the sum of his scores?
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The sum of his scores is -10
What is sum?A summation, also called a sum, is the result of arithmetically adding numbers or quantities. A summation always contains a whole number of terms. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some summations contain infinitely many terms.
For example, If the value of ages of class is given as 5, 6,7,8,5,6. The sum of of their of ages will be 5+6+7+8+5+6 = 37
The score of jake are -12, 3 ,5 , 2 ,0 and -8. The sum of his scores = -12 + 3 + 5 + 2 + 0 + -8
collecting like terms
-12 + -8 + 3 + 5 + 2 + 0
= -10
Therefore the sum of Jake's score is -10
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#17 please help!! I dont know what to do
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The distance across the pond is 52 feet.
What is Congruence of Triangles?Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.
In the given diagram, there are two triangles.
If we prove the two triangles are congruent, we will get the distance across the pond as 52 feet.
Already 2 sides of one triangle is given as equal to 2 sides of the other triangle, which are 41 ft and 29 ft.
Also since the lines are intersecting the included angles of the equal sides of both triangle are equal by vertical angle theorem.
So two sides and an included angle of a triangle is equal to corresponding two sides and an included angle of other triangle.
So the triangles are congruent by SAS theorem.
So all the sides of two triangles are equal.
Distance across the pond is 52 feet.
Hence we get the distance across the pond is 52 feet.
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Which one is correct?
A
B
C
D
Answers
Answer: C
Step-by-step explanation: TYSM if you give me a brainly... ps love you
Answer:
B.
A trapezoid looks like the following in the image, and B is the same but flipped.
Step-by-step explanation:
Hope it helps! =D
compute the products in exercises 1\[dash]4 using (a) the definition, as in example 1, and (b) the row\[dash]vector rule for computing a x. if a product is undefined, explain why.
Answers
1) product is not defined.
2) product is undefined.
3) [ -9 ]
[ 5 ]
[ -11 ]
Explanation:
1) product is not defined.
because no of column of 1st matrix (2) is not same as no of row of second matrix.(3)
2) product is undefined.
because no of column of 1st matrix (1) not same as no of row of second matrix (2).
3) [ 6 5 ] [ 6 -15 ] [ 9 ]
[ -4 -3 ] X [ 1 ] = [ -4 +9 ] = [ 5 ]
[ 7 6 ] [ -3 ] [ 7 -18 ] [ -11 ]
A matrix is a rectangular array of numbers (or other mathematical objects) that defines operations like addition and multiplication. A matrix over a field F is typically a rectangular array of scalars, each of which is a member of F.
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When Mai walks from her new apartment to school and then back home again, her path creates a rectangle. The rectangle measures `400` m in length and `200` m in width. Mai wants to create a scale drawing of this rectangle. Using a scale of `1` cm to `40` m, what would be the length of the rectangle on the scale drawing?
Answers
Answer:
10 cm
Step-by-step explanation:
Original measures: 400 m and 200 m
Scale: 1 cm = 40 m
Use proportions.
Length:
1 cm / 40 m = x / 400 m
40 m × x = 400 m × 1 cm
40x = 400 cm
x = 10 cm
length = 10 cm
Answer: 10 cm
3x + 2y=4 3x + 6x=-28
Answers
The solution to the equations is x = 20/3 and y = -8
How to determine the solution to the equation?From the question, we have the following parameters that can be used in our computation:
3x + 2y=4
3x + 6y=-28
The above equations is a system of linear equations
So, we can subtract them to eliminate x as follows
4y = -32
Divide both sides by 4
y = -8
Substitute y = -8 in the equation 3x + 2y=4
3x - 16 =4
Evaluate the like terms
3x = 20
So we have
x = 20/3
Hence, the soluton is x = 20/3 and y = -8
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find the domain (15 points)
Answers
The domain of the relationship for this problem is given as follows:
Real values of x and y, except y ≠ 0 and x ≠ y.
How to obtain the domain of the relationship?The domain of a relationship is composed by the set of all possible input values assumed by the relationship.
The relationship for this problem is given as follows:
(4x - 4y)/(2xy + 2y²).
It is a fraction, hence the restriction is that the denominator cannot be zero.
Then the domain is obtained as follows:
2xy + 2y² ≠ 0.
2y(x + y) ≠ 0.
Hence the restrictions are given as follows:
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a crane is oriented so that the end of the 25-m boom ao lies in the yz plane. at the instant shown, the tension in cable ab is 4.8 kn. determine the moment about each of the coordinate axes of the force exerted on a by cable ab.
Answers
Applying Pythagoras theorem, and drawing free body diagram we can measure the moments required.
First of all draw the free body diagram.
Now, in triangle AOC, apply Pythagoras theorem,
Now, write the coordinates of the points,
O (0, 0, 0) m
A (0, 15, 20) m
C (0, 0, 20) m
B (2.5, 0, 20) m
Now, write the position vector from A to B,
Now, write the unit vector rAB
Now, write the tensional force on the point A due to the cable AB,
Now, calculate the force ‘T’ about the origin,
Hence the moments about the coordinate axes are,
Mx = 78.9 kN.m
Mx = 13.15 kN.m
Mx = -9.86 kN.m
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A carnival worker has 380 stuffed animals she buys 6 more boxes with 5 stuffed animals in each box how many stuffed animals does she have now
Answers
Jim is thinking of buying solar panels. The price of these panels haas decreased by 27% since 2016. Jim would need to pay £4803.40 for the panels now. How much would the panels have cost in 2016? 3 marks.
Answers
Answer:
let the price in 2016= Y
Then the price since 2016 ( since the price decreased since 2016)= (1- 27/200)Y= 0.73Y
2016 since 2016
Y 0.73Y
Y now: 4803.40
0.73Y= 4803.40
Y= 4803.40/0.73
= 6580
the cost of the panel in 2016 is 6580
Write the following set as an interval using interval notations. (x|-7
Answers
The set |x| < 7 using interval notation is given as follows:
0. < x < 7.
How to obtain the absolute value of a number?The absolute value of a number gives the distance of a number from the origin, hence it basically can be interpreted as the number without the signal.
The expression for this problem is defined as follows:
|x| < 7.
Then the bounds of the open interval are given as follows:
|-7| = 7.|7| = 7.The lowest absolute value is given as follows:
0.
Hence the interval is given as follows:
0 < x < 7.
Missing InformationThe problem asks for the interval notation of:
|x| < 7.
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(a) show that f is one-to-one. (b) use theorem 7 to find s (f ^-1) d9sad. (c) calculate f 21 sxd and state the domain and range of f 21 . (d) calculate s f 21 d9sad from the formula in part (c) and check that it agrees with the result of part (b). (e) sketch the graphs of f and f 21 on the same axes.
Answers
The function f(x) = 9 - x² is a one to one function and the value of f⁻¹(x) = √9 - x.
The graph of the function is attached below.
In math the term graph is defined as a pictorial representation or a diagram that represents data or values in an organized manner.
Here we have the function f(x) = 9 - x² and here we also know that on the interval 0≤x≤3 and a=8.
Now, we have to check the given function is one to one or not, for that we have to plot the function on the graph then we get the graph like the following.
While we looking into the graph we have identified that each input value has exactly only one output, therefore it is said to be one to one function.
And the inverse of the function is calculated by rewritten the function as,
=> f⁻¹(x) = √9 - x.
And the graph of f⁻¹(x) is plotted as follows,
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If I go to the store to buy 6 packages of sausages ( each package has 2 1/2 sausages ) and my dog eats 2 sausages every day in total
How many days until I need to go to the store for sausages again?
Answers
The number of days until I need to go to the store for sausages again is
7.5 days.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of packages = 6
Number of sausages in each package = 2(1/2)
Total sausages.
= 6 x 2(1/2)
= 6 x 5/2
= 3 x 5
= 15
Number of sausages the dog eats each day = 2
The number of days the sausages will be used.
= 15/2
= 7.5
Thus,
The number of days is 7.5 days.
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Solve for
r
-48 - r = -39
Answers
Answer:
[tex]r=-9[/tex]Step-by-step explanation:
[tex]-48 - r = -39[/tex]
[tex]-48+-r=-39[/tex]
[tex]-r-48=-39[/tex]
[tex]-r-48+48=-39+48[/tex]
[tex]-r=9[/tex]
[tex]\cfrac{-r}{-1}=\cfrac{9}{-1}[/tex]
[tex]r=-9[/tex]
En la frutería “Todo barato”, 2 kg de tomates cuesta $ 38.00. ¿Cuánto debe de pagar Karla si compra 9 kg de tomates
Answers
Answer: hi
Step-by-step explanation: hi
Classify the following polynomial by degree and number of terms
X3-8
Answers
The polynomial X3-8 has a degree of 3 and 2 terms
What are algebraic expressions?Algebraic expressions are defined as mathematical expressions comprising of variables, coefficients, terms, constants and factors.
These algebraic expression are also comprised of arithmetic operations, such as;
DivisionAdditionSubtractionFloor divisionMultiplicationBracketParenthesesPolynomials are also described as algebraic expressions composed of arithmetic operations and also non-negative integer exponentiation of variables.
Given the polynomial, the number of terms is 2
Hence, the number of terms is 2 and the degree is 3
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The function below is defined by two equations. The equation in the first row gives the output for negative nu the domain. The equation in the second row gives the output for non-negative numbers in the domain. Find th indicated function values. f(x) = 8x+4 if x
Answers
The indicated function values for f(x) = 8x + 4 if x is:
(a) f(-4) = -13, (b) f(2) = 22
(c) f(0) = 8, (d) f (-100) + f(100) = 215
What is meant by function ?
A function is an equation with just one solution for every value of y in the equation. A function pairs each input of a particular type with exactly one output. Instead of y, it is typical to name functions f(x) or g(x).
We must look at the value of x to determine which equation to take into account. In the first equation, we will substitute x if it is negative; in the second equation, we will substitute x if it is positive or null.
(a) x = -4 so x is negative.
We use the first equation f(x) = 5x + 7 and we have f(-4) = 5 × (-4) + 7 = -13
(b) x = 2 and is positive.
We use the second equation f(x) = 7x + 8.
The result is f(2) =7 × (2) + 8 = 22
(c) x = 0 In this case the function is defined by the second equation f(x) = 7x + 8. So f(0) =7 × (0) + 8 = 8
(d) We need to calculate the function values of each one and then make the sum.
With f(-100), x = -100 and is negative
We use the first equation f(x) = 5x + 7 and
we have f(-100) = 5 × (-100) + 7 = -493.
With f(00), x = 100 is positive so we use the second equation f(x) = 7x + 8 and get f(100) = 7 × 100 + 8 = 708
We add them to get the result: f(-100) + f(100) = -493 + 708 = 215
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The complete question is:
The function below is defined by two equations. The equation in the first row gives the output for negative numbers in the domain. The equation in the second row gives the output for non-negative numbers in the domain. Find the indicated function values.
f (x) = { 5x+7 if x < 0
{ 7x+8 if x ≥ 0
(a) f (- 4)
(b) f (2)
(c) f (0)
(d) f (-100) + f(100)
find the value of x and y
Answers
The measure of the exterior angle x of the polygon is equal to 76°
How to evaluate for the exterior angle xThe exterior angles of a polygon added together is equal to 360° so;
x + x + 60° + 64° + 36° + 48° = 360°
2x + 208° = 360°
2x = 360° - 208° {subtract 208° from both sides}
2x = 152°
x = 152°/2 {divide through by 2}
x = 76°
Therefore, the measure of the exterior angle x of the polygon is equal to 76°
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