1. there are 15 boys and 17 girls in a math class. what is the ratio of boys to girls? (6.rp.1) * 15:17 15:32 17:15 32:15
If there are 15 boys and 17 girls in a math class then, the ratio of boys to girls is Option A. 15:17
The ratio of boys to girls in the math class is 15:17. This can be found by dividing the number of boys by the number of girls, which gives:
15/17
This ratio cannot be simplified because 15 and 17 do not have any common factors other than 1. Therefore, the ratio of boys to girls is 15:17.
The ratio of boys to girls in a math class is the relationship between the number of boys and the number of girls. The ratio is a way of expressing the comparison between two quantities. In this case, there are 15 boys and 17 girls in the class. To find the ratio of boys to girls, we divide the number of boys by the number of girls, which gives 15/17. This ratio cannot be simplified further because 15 and 17 do not have any common factors other than 1. Therefore, the ratio of boys to girls in the math class is 15:17. This means that for every 15 boys in the class, there are 17 girls.
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A charity needs to report its typical donations received. The following is a list of the donations from one week.
11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59
Which measure of center should the charity use to accurately represent the data? Explain your answer.
The median of 45.2 is the most accurate to use to show that they need more money.
The median of 49 is the most accurate to use, since the data is skewed.
The mean of 49 is the most accurate to use to show that they have plenty of money.
The mean of 45.2 is the most accurate to use, since the data is skewed.
The measure of center should the charity use to accurately represent the data is The mean of 49 is the most accurate to use to show that they have plenty of money, the correct option is C,
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
We are given that;
The list of donation is as follows
11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59
Now,
Mean is the middle term of the data
Here,
Middle term of data=49
Therefore, the mean of the given list will be 49.
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(a) without adding new vertices, add a single edge to the graph so that the new graph will have an euler path. which vertices does your new edge connect?
To add a single edge to a graph to create an Euler path, we must connect two existing vertices with an odd degree.
In graph theory, an Euler path is a path that visits every edge of a graph exactly once. However, not all graphs have an Euler path. If a graph has an Euler path, it must have either zero or two vertices with an odd degree. In this scenario, we are given a graph and are asked to add a single edge to create an Euler path.
To add a single edge to the graph, we must connect two existing vertices that have an odd degree. This is because adding a new vertex would change the degree of the graph and potentially affect the existence of an Euler path. Therefore, we must carefully consider the degree of each vertex before adding the edge.
Let's consider a graph:
A
/ \
B---C
/ \ / \
D---E---F
In this graph, vertices B, E, and F have an odd degree. To create an Euler path, we must connect two of these vertices with a new edge. Let's choose B and E, and add the edge (B, E) to the graph.
A
/ \
B---C
/ \ / \
D---E---F
Now, the graph has only one vertex with an odd degree, which is C. This means that the graph has an Euler path that starts at C, visits every edge exactly once, and ends at A.
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-2x + 3y = -5
3x - 4y = 6.
Which answer choice below is equivalent to 50(1+0.15)" ?
A (50.15)*
B 50 (1.15)
c) None of the above
D (57.5)
E (50+ 50.15)*
F) All of the above
The answer choices 50(1.15) and 57.5 below are equivalent to 50(1+0.15)
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
The order of operations is a rule that specifies the right procedure to follow when evaluating a mathematical equation. Using the acronym PEMDAS, we can memorize this order: parentheses, exponents, multiplication, and division (left to right), addition and subtraction (from left to right).
50(1+0.15)
Add the numbers
= 50(1.15)
Multiply the numbers
= 57.5
The answer choices 50(1.15) and 57.5 below are equivalent to 50(1+0.15)
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Please fjnd the measure of angle x!
The value of the angle 'x' in the right-angle triangle will be 42.99°.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The value of the variable 'x' is given by the sine of the angle 'x'. Then we have
sin x = 15 / 22
sin x = 0.6818
sin x = sin 42.99°
x = 42.99°
The value of the angle 'x' in the right-angle triangle will be 42.99°.
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a rectangular pyramid is sliced so the cross section is perpendicular to its base but does not pass through its vertex. what is the shape of the cross section?
When a rectangular pyramid is sliced by a plane that is perpendicular to its base but does not pass through its vertex, the resulting cross section is a trapezoid.
To understand why this is the case, it is helpful to visualize a rectangular pyramid. A rectangular pyramid is a three-dimensional figure with a rectangular base and four triangular faces that meet at a single point at the top, known as the vertex.
If a plane is passed through the pyramid perpendicular to the base but not through the vertex, it will intersect each of the four triangular faces of the pyramid at a different angle, resulting in a cross section that has four sides.
Since the base of the rectangular pyramid is a rectangle, the two opposite sides of the trapezoid cross section will be parallel, and the other two sides will be non-parallel. The shape and size of the trapezoid cross section will depend on the orientation of the plane with respect to the rectangular pyramid.
In summary, when a rectangular pyramid is sliced by a plane that is perpendicular to its base but does not pass through its vertex, the resulting cross section is a trapezoid with two parallel sides and two non-parallel sides.
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help me solve this question and show the steps how to do it
The equivalent expression to 14^6 is given as follows:
[(14^5)^3]/14^9.
How to obtain the equivalent expression?When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents.
The power of power exponential rule states that when a single base is elevated to multiple powers, the powers are multiplied.
Then the expression with the desired value of 14^6 is obtained as follows:
(14^5)^3 = 14^(5 x 3) = 14^15.14^15/14^9 = 14(15 - 9) = 14^6.More can be learned about simplification of expressions at https://brainly.com/question/30142908
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Give the starting value a, the growth factor b, and the growth rate r if q = abt = a(1 r)t. write r as a percent. q = 79 (1.002) superscript t a. a. a = 79 b = 1.002 r = 0.2% b. a = 79.158 b = 1.002 r = 0.002% c. a = 79 b = 0.002 r = 1.002% d. a = 79.158 b = 0.002 r = 0.2%
r as a percent is a) a = 79, b = 1.002, and r = 0.2%.
The formula given, q = abt = a(1+r)t, represents exponential growth, where a is the starting value, b is the growth factor, r is the growth rate, t is the time period, and q is the final value after t periods.
Given q = 79(1.002)^t, we can see that:
a = 79 (the starting value)
b = 1.002 (the growth factor)
r = 0.2% or 0.002 (the growth rate, expressed as a decimal)
So, the correct answer is a) a = 79, b = 1.002, and r = 0.2%.
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Abby loves riding Ferris wheels and
roller coasters. While visiting the Polk
County Fair, she first went on the
Ferris wheel 5 times and the roller
coaster 4 times, using a total of 26
tickets. Then, after taking a break and
having a snack, Abby went on the
Ferris wheel 5 times and the roller
coaster 3 times, using a total of 22
tickets. How many tickets does it take
to ride each attraction?
Answer:
ferris wheel: 2
roller coaster: 4
Step-by-step explanation:
Variables
y = ferris wheel tickets
x = roller coaster tickets
Two equations
5y + 4x = 26
5y + 3x = 22
Using Elimination (minus the top and bottom)
We get:
x = 4 (because 5y - 5y is zero, 4x - 3x is x, and 26 - 22 is 4)
Since the roller coaster price is know, you can sub it into any of the two equations and fine ferris wheel price.
5y + 3(4) = 22
5y + 12 = 22
5y = 10
y = 2
Therefore:
ferris wheel charges 2 tickets
roller coaster charges 4 tickets
Answer:
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
Vince works in an amusement park and is helping decorate it with strands of lights. This morning, he used a total of 16 strands of lights to decorate 2 bushes and 1 tree. This afternoon, he strung lights on 3 bushes and 4 trees, using a total of 44 strands. Assuming that all bushes are decorated one way and all trees are decorated another, how many strands did Vince use on each?
Vince decorated every bush with
strands of lights and every tree with
strands.
The manager of a farmer's market has 350 lb of grain that costs $1.40 per pound. How many pounds of meal costing $0.80 per pound should be mixed with the 350 lb of grain to produce a mixture that costs $1.10 per pound?
350 pounds of the meal should be added to the grain to produce a mixture that costs $1.10 per pound.
What is meant by addition?
In mathematics, addition is the process of fusing two or more integers. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. It is one of the fundamental mathematical operations we employ on a daily basis. We add numbers in many different contexts.
Let the amount of meal mixed with the grain be 'x' pounds.
Now, Total price of the mixture = x*0.80 + 350*1.40 = (x+350)*1.10
350*(1.40 - 1.10) = x*(1.10 - 0.80)
350*0.3 = x*0.3
x = 350
Therefore, the amount of meal that should be added to the grain is 350 pounds.
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The figure shows the size of a pool. 6 ft 4 ft 16 ft What is the volume of the pool? A. 60 ft³ B. 224 ft3³ 12 ft O C. 1728 ft³ D. 3136 ft³ 8 ft 14 ft h
The volume of the pool is 768 cubic feet.
What is the Volume?
In mathematics, volume refers to the amount of space occupied by a three-dimensional object. It is a measure of the total amount of space enclosed within the boundaries of an object. The volume of an object is usually measured in cubic units, such as cubic meters (m³), cubic feet (ft³), or cubic centimeters (cm³).
To find the volume of the pool, we need to multiply its length, width, and depth. Looking at the figure, we see that the length of the pool is 16 ft, the width is 6 ft, and the depth is 8 ft.
So, the volume of the pool is:
V = length x width x depth = 16 ft x 6 ft x 8 ft = 768 cubic feet
Hence, the volume of the pool is 768 cubic feet.
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Hello can somebody please explain thank you
The correct option is C which is out of 30000 there will be 27000 deaths.
What is the percentage?According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.
Given, according to the website, 90% of the 30,000 deaths caused by unsafe water and filthy living conditions that occur every week around the world involve children under the age of five. All of the following interpretations of this statistic are accurate.
The percentage of deaths will be calculated as:-
Percentage = 30000 x 90%
Percentage = 30000 x 0.9
Percentage = 27000
Therefore, the number of deaths will be 27000.
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A jar contains 18 strawberry, 24 cherry, and 19 lime-flavored candies. The rest of the candys are chocolate there are 82 candys in all. If n represents the number of chocolates in the jar, what equation could you use to find n?
The equation which is used to find the number of chocolates candy in the jar is given by 18 + 24 + 19 + n = 82 , the number of chocolate candy in the jar is equal to 21.
Number of strawberry candy in the jar = 18
Number of cherry candy in the jar = 24
Number of lime flavored candies = 19
Let 'n' be the number of chocolate candy in the jar
Total number of candy in the jar = 82
Equation used to represent the given condition is :
18 + 24 + 19 + n = 82
⇒ 61 + n = 82
⇒ n = 82 - 61
⇒ n = 21
Therefore, the equation required to represent the number of chocolate candy is 18 + 24 + 19 + n = 82 and the value of n is equal to 21.
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What is the surface area of the net shown below?
▸
8 ft
3 ft
3 ft
3 ft
The surface area of the net is 108 squate feet
How to determine th surface area of the netThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
A net that has the following shapes
Rectangle: 8ft by 12 ftTwo triangles: 3ft by 4ftThe area of the net is the sum of the individual areas
So, we have
Area = 8 * 12 + 2 * 0.5 * 3 * 4
Evaluate
Area = 108
Hence, teh area is 108 squate feet
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A diamond has eight equilateral triangles as faces, as shown. The formula V = 0.4783
approximates the volume (in cubic millimeters) of the diamond, where s is the side length (in millimeters) of each edge. Approximate the length of each edge of the diamond.
V = 161 mm³
The length of each edge of the diamond is about
1
mm.
For a diamond having volume 161 mm³, the value for side length is 7 mm.
What is volume?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The formula for volume of diamond is given as -
V = 0.47 s³
Here, s represents the side length of each edge.
The value for volume of diamond is given as -
Volume = 161 mm³
Plug in the values in the equation -
Volume = 0.47 s³
161 = 0.47 s³
s³ = 161 / 0.47
s³ = 342.553
s = ∛342.553
s = ∛342.553
s = 6.996 mm
Therefore, the side length measures 6.996 ≈ 7 mm.
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Find the perimeter and area of the rectangle
Answer:
Step-by-step explanation:
The perimeter of the rectangle: We know that the frame is equal to 2(L+B)
therefore, the edge of a rectangle is 2[5a^2b^4 + 3ab^2]
= 2[ab^2(5ab^2 + 3)]
The area of a rectangle is L * B
= (5a^2b^4) * (3ab^2)
= 15a^3b^6
Victor and his friends like to collect
and trade cards from a certain combat
card game. Victor used his allowance
to purchase 9 booster packs and 4
premade decks, which included a total
of 266 cards. For his birthday, he
received 10 booster packs and 5
premade decks, which included a total
of 320 cards. How many cards come in
every booster pack and every
premade deck?
The value of x and y in the system of equations, are 10 and 44, therefore, the number of booster pack and premade deck are 10 and 44 respectively.
What is a system of equation?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, a deck contains 266 cards which have 9 booster packs and 4 premade decks, and 10 booster packs and 5 premade decks, which included a total of 320 cards.
Let the number of booster pack and premade deck be x and y,
Establishing the system of equations,
9x + 4y = 266....(i)
10x + 5y = 320
2x + y = 64...(ii)
Multiplying eq(ii) by 4 and subtract eq(ii) from eq(i)
(9x + 4y = 266) - (8x + 4y = 256)
x = 10
Put x = 10 in eq(ii)
20 + y = 64
y = 44
Hence, the value of x and y in the system of equations, are 10 and 44, therefore, the number of booster pack and premade deck are 10 and 44 respectively.
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find the difference between 307 and 188
LA Galaxy have won 36%of their soccer matches .If they have played 50 matches ,how many have they won ?
If LA Galaxy has won 36% of their soccer matches, this means that they have won 36/100 * 50 = 18 matches.
So, they have won 18 matches out of 50.
Step-by-step explanation:
percentage of soccer matches won = 36%
total matches = 50
matches won = 36/100 * 50
=18
The correspondence f: X- Yis defined by the function ((-18, -31), (-9, -23), (4, 2), (11, 5), (14, 12)). Consider the
correspondence g that includes the ordered pairs of f.
Which additional ordered pairs can be included in g, assuming g is a function. SELECT ALL THAT APPLY.
A(-9, 11)
B (-7,-10)
C (5, 12)
D (4, 15)
E (14,20)
Answer:
B. (-7, -1)
C. (5, 12)
Step-by-step explanation:
A function can only have one output for a specific input
In math terminology that means if y = f(x) is a function of x then the mapping from x to y is 1:1
Or,
For a specific value of x, there can be one and only one value for y
This is often referred to as a vertical line test; if a vertical line parallel to the y-axis is drawn for any x value it should intersect the function graph at one and only one point
g(x) includes all the ordered pairs of f(x) therefore the ordered pairs of g(x) are:
{ ( -18, -31), (-9, -23), (4, 2), (11, 5), (14, 12) }
Looking at the answer choices:
A. (-9, 11) will violate the 1:1 correspondence between x and y since (-9, -23) is already a pair
B. (-7, -1) is OK. There is no other entry with x = -7
C. (5, 12) is OK. There is no other entry with x = 5
D. (4, 15) will violate; there is already an entry for x = 4: (4, 2)
E. (14,20). This will also violate the properties of a function since there exists an entry for x = 14, namely (14, 20)
what is the rate constant at 42.4 ∘c based on the data collected for trial e?
The rate constant at 42.4 based on trial E is Value[k = 2.68 X 10^-3] and Units[M-1 s-1]
The rate constant at 42.4 0C is [acetone] initial = 0.2 M, [H+] initial = 0.01 M, so rate= k [acetone] [H+] 5.37 X 10^-6 = k X 0.2 X 0.01, k = 2.68 X 10^-3 , and the order of the reaction is two therefore the unit of the speed constant is M-1 s-1. reaction rate constants and rate laws is a fundamental concept in chemical kinetics, which is the study of the rates and mechanisms of chemical reactions. Reaction rate constants are specific to a particular reaction and are influenced by several factors, including temperature, concentration of reactants and products, the presence of a catalyst, and the activation energy of the reaction. The rate constant is related to the activation energy through the Arrhenius equation, which is given by k = A * exp(-Ea/RT), where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the absolute temperature. The rate law of a chemical reaction describes the mathematical relationship between the rate of the reaction and the concentrations of the reactants. It is determined experimentally by measuring the initial rate of the reaction under different concentrations of the reactants. The rate law is typically expressed as Rate = k[A]^m[B]^n, where k is the rate constant, A and B are the concentrations of reactants, and m and n are the orders of the reaction with respect to A and B, respectively.
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what is the order of processes that support the central dogma?
The order of processes that support the central dogma are:1.DNA replication: the process by which DNA makes a copy of itself.
2.Transcription: the process by which RNA is synthesized from a DNA template.
3.Translation: the process by which proteins are synthesized from RNA templates.
The central dogma of molecular biology describes the flow of genetic information within a biological system. The method by which DNA instructions are translated into useful products is known as the "Central Dogma." Francis Crick, who discovered the structure of DNA, first put up the idea in 1958.
The order of processes that support the central dogma are:
1.DNA replication: the process by which DNA makes a copy of itself.
2.Transcription: the process by which RNA is synthesized from a DNA template.
3.Translation: the process by which proteins are synthesized from RNA templates.
In summary, the central dogma can be described as follows: DNA is replicated to make more DNA, DNA is transcribed into RNA, and RNA is translated into proteins.
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in parallelogram ABCD, find the values of X and Y
0.5 + 0.163 (3 has a line over it) and i need to find it in a fraction
Answer:
[tex]\mbox{\large $0.5 + 0.16 \bar {3}$ = \boxed{\dfrac{199}{300}}}[/tex]
Step-by-step explanation:
[tex]0.16\bar{3} = 0.16333333333\\[/tex]
the 3 repeats until infinity
Let's multiply this by 100 to move the non-repeating part to the left of the decimal point
0.1633333333...... x 100 = 16.333333333333333...
.333333 = 1/3
Therefore the recurring number multiplied by 100 is
[tex]16 + \dfrac{1}{3} = \dfrac{16 \times 3 + 1}{3}=\dfrac{49}{3}[/tex]
Since this fraction was arrived at by multiplying by 100, divide this fraction by 100 to get back the fraction in its original decimal value of 0.163333
[tex]\dfrac{49}{3} \div 100[/tex]
To divide by a number, multiply by the reciprocal of that number
Reciprocal of 100 is 1/100:
[tex]\dfrac{49}{3} \div 100 = \dfrac{49}{3} \times \dfrac{1}{100} = \dfrac{49}{300}[/tex]
(You can verify this by dividing 49 by 300 in a calculator and seeing that the result is 0.163333333333333333333 i.e. 0.16333 recurring
We want to add 0.5 to this.
0.5 = [tex]\dfrac{1}{2}[/tex]
so
0.5 + 0.16333333 = 0.6633333
[tex]= \dfrac{1}{2} + \dfrac{49}{300}[/tex]
We can write [tex]\dfrac{1}{2}[/tex] as [tex]\dfrac{150}{300}[/tex] by multiplying numerator and denominator by 150
So we get
[tex]0.5 + 0.1633333 = \dfrac{150}{300} + \dfrac{49}{300} = \dfrac{150+49}{300} = \dfrac{199}{300}[/tex]
If you perform this division on a calculator you will get the answer as 0.663333 = [tex]0.66\bar{3}[/tex] which is what you get when you add 0.5 and [tex]0.16\bar{3}[/tex]
a researcher uses an anonymous survey to investigate the study habits of american college students by sending surveys to a randomly selected set of students. based on the data she obtains, the researcher finds that these students spend an average of 4.1 hours each week working on course material outside of class. for this study, the set of 56 students who returned surveys is an example of a . group of answer choices
In the given case the set of 56 students who returned surveys is an example of a sample
A sample would be the 56 students who responded to the surveys. A sample is a portion of the population that is chosen for a study in research. American college students would be the population in this scenario. The 56 students who returned the surveys were chosen at random for the sample by the researcher.
The researcher is attempting to guarantee that the sample is representative of the greater population of American college students by utilising a random selection process. The researcher discovered that these students spend an average of 4.1 hours per week working on course material outside of class based on the data collected from the sample. This is an example of a descriptive statistic that provides a summary of the information gleaned from the sample.
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you have a recipe that indicates to use 2 parts of milk for every 7 parts of flour. You use 8 cups of milk. How much flour do you need?
(Also complete the ratio table below pls)
Milk(cups) 2 , 4 _ , 8
Flour (cups) 7 , _ , 21 , _
Answer:
28 cups of Flower
Ratio Table:
2,4,6,8
7,14,21,28
Step-by-step explanation:
2x4/7x4=8/28
A repeated-measures research study and a separate independent-measures research study both produced a t statistic with df = 10. How many individuals participated in each research study?
Group of answer choices
a.)n = 12 for a repeated-measures research study and n = 11 for an independent-measures research study
b.)n = 12 for a repeated-measures research study and n = 12 for an independent-measures research study
c.)n = 11 for a repeated-measures research study and n = 11 for an independent-measures research study
d.)n = 11 for a repeated-measures research study and n = 12 for an independent-measures research study
By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).
In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.
Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.
Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).
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2. Choose one of the pair of starting angles in the table below:: each table has () over them
(a = 50 degrees
y = 110 degrees )
(a= 30 degrees
b=70 degrees)
(c =30 degrees
y=120 degrees)
Please note you are only using 1 of the the selections above, and they will give different results
(a) What is the angle measurement of first unknown angle? Explain the angle relationship you used.
(b) What is the angle measurement of second unknown angle? Explain the angle relationship you used.
Hint: Remember to start with a relationship where you have one unknown.
Answer:
If A=30 and B= 70 the first unknown angle Y would be 100. When using the E.A.T (exterior angle theorem) you add the 2 remote interior angles to get the exterior angle. (Y)
Unknown angle 2 is a interior angle, so we know all 3 of the interior angles must equal 180.
30+70=100
180-100=80
C=80
Step-by-step explanation:
Determine algebraically whether the given function is even, odd, or neither: f(x) = x5 - x3 + x.
Functions are very important concepts in mathematics. There are many types of functions, which include even functions, odd functions, or neither odd nor even functions.
The function f(x) = x⁵ - x³ + x is odd. It satisfies the condition f(-x) = -f(x), making it an odd function.
To determine whether the function f(x) = x⁵ - x³ + x is even, odd, or neither, we need to test if the function satisfies the following conditions for all x:
f(-x) = f(x) for even functions
f(-x) = -f(x) for odd functions
If the function satisfies neither of these conditions, then it is neither even nor odd.
Testing f(-x) = f(x):
f(-x) = (-x)⁵ - (-x)³ + (-x) = -x⁵ + x³ - x
f(x) = x⁵ - x³ + x
Since f(-x) is not equal to f(x), the function is not even.
Testing f(-x) = -f(x):
f(-x) = (-x)⁵ - (-x)³ + (-x) = -x⁵ + x³ - x
-f(x) = -(x⁵ - x³ + x) = -x⁵ + x³ - x
Since f(-x) = -f(x), the function is odd.
Therefore, the given function f(x) = x⁵ - x³ + x is odd.
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