In the octagon, the measurement of the largest exterior angle is 90°.
What is polygon?In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words, poly, which means numerous and gon, means sides.
The given exterior angles of the octagon are,
x°, 2x°, 3x°, 4x°, 5x°, 7x°, 8x°, and 10x°.
The sum of the exterior angle of the octagon is 360°.
Implies that,
x + 2x + 3x + 4x + 5x + 7x + 8x + 10x = 360
40x = 360
x = 9
The largest exterior angle = 10 x = 10 × 9 = 90°.
The required largest exterior angle is 90°.
To know more about Polygon on:
https://brainly.com/question/24464711
#SPJ1
What is the area of the figure? I give brainliest and thanks! :)
Answer:
ok I would give answer that is 85.5mi^2
12. The calculation of property tax is based on the
The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.
To know more about expressions visit :-
https://brainly.com/question/14083225
#SPJ1
What is the meaning of "the cancellation laws"?
Each step of this theorem is proved below.
Given that,
S is finite,
Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).
According to the cancellation rule,
This product is independent of the order of the factors.
As a result, we can define the identity element e as this product.
It is simple to demonstrate that e meets the criteria of an identity element.
Now, let's show that every element of S has an inverse.
Let a be any element of S. Consider the set {a, a, a, ...}.
Since S is finite,
There exist positive integers m and n such that
am = an for some m > n.
By the cancellation law,
We can cancel a power of a from both sides to get a\({(m-n)}\) = e.
This means that a has an inverse, and we can conclude that S is a group.
Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.
This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.
As a result, this is not a group.
To learn more about cancellation law visit:
https://brainly.com/question/31328698
#SPJ1
In how many ways can 8 people line up for play tickets? A. 823,543B. 40,320C. 8D. 5,040
8 people can line up in 8! ways.
\(8!\text{ =}8\times7\times6\times5\times4\times3\times2\times1=40320\)Thus, 8 people can line up in 40320 ways. Option B is correct.
solve y=x-2 and x+y=12 using substitution
Step-by-step explanation:
y=x-2....eqn1
x+y=12.....eqn2
now,
from eqn 1
y= x-2
again, putting value of y in eqn 2
x+y=12x+x-2=122x=12+2x=14/2x=7in eqn 1
y=x-2y=7-2y=5hope it helps..
The ratio of red pens to blue pens in maxs drawer is 4 to 5 how many red pens and how many blue pens are there in the drawer if there are 342 pens altogether? HELP PLEASE
There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.
Let's solve the problem step by step:
Identify the given information:
The ratio of red pens to blue pens is 4 to 5.
There are a total of 342 pens in the drawer.
Set up the ratio equation:
Let's assume the number of red pens is 4x, and the number of blue pens is 5x.
Here, 'x' is a scaling factor that allows us to find the actual number of pens.
We can write the equation as: 4x + 5x = 342.
Simplify and solve the equation:
Combining like terms, we have 9x = 342.
Divide both sides of the equation by 9 to solve for 'x':
x = 342 / 9 = 38.
Calculate the number of red pens and blue pens:
Now that we have the value of 'x', we can find the number of red and blue pens:
Number of red pens: 4x = 4 × 38 = 152.
Number of blue pens: 5x = 5 × 38 = 190.
For similar questions on pens
https://brainly.com/question/16820350
#SPJ8
A jeweler has found that the monthly revenue received from selling a pair of earrings at a cost of d dollars each is given by the polynomial −7d2+180d. Find the monthly revenue received when d=17 dollars.
The monthly revenue is $1037
What is a linear equation in one variable?
A linear equation in one variable is equation whose degree is one and there is only one variable present.
We are given the monthly revenue received from selling a pair of earrings at a cost of d dollars is given by equation \(-7d^{2}+180d\)
We have to find the monthly revenue received when the cost is $17
That is d=17
Now we substitute d=17 in the given equation to find the monthly revenue
We get,
\(-7d^{2}+180d\\\)
⇒\(-7(17^{2})+180(17)\\\)
⇒ -2023+3060
⇒1037
Hence the monthly revenue earned is $1037
To learn more about linear equation please refer
https://brainly.com/question/26310043
#SPJ9
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
Urgent please help thank you all
The mayor of a town has proposed a plan for the construction of a new bridge. A political study took a sample of 800 voters in the town and found that 67% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 63%. Make the decision to reject or fail to reject the null hypothesis at the 0.05 level.
Answer:
We have to reject null hypothesis
Step-by-step explanation:
n = 800
P* = sample proportion = 0.67
Alpha = 0.05
Null hypothesis h0: proportion = 63%
Alternate hypothesis h1: proportion > 64%
Test statistics:
Z = (p* - P)/√pq/n
Z = 0.67 - 0.64/√0.63x0.37/800
= 0.67 - 0.63/0.017
=0.04/0.017
= 2.352
At 0.05 the critical value of z = 1.645
We compare z calculated and z critical value.
2.352 is greater than 1.645 therefore we take the decision to reject the null hypothesis at 0.05 level of significance.
The percentage of residents that supports construction is greater than 63%
Please explanation needed for the answer.
Three balls - each of which is either red or yellow - lie in a straight line on a pool table. Adam strikes the first ball, which is red. That ball hits the middle ball. The middle ball then hits the last ball, which is yellow.
On the basis of this information, which one of the following statements must be true?
A. Only one of the balls was red.
B. A red ball hit a yellow ball.
C. A yellow ball hit a red ball.
D. Only one of the balls was yellow.
Answer:
D. Only one of the balls was yellow.
Step-by-step explanation:
red balls yellow balls red balls.
Only one of the balls was yellow. Then the correct option is D.
What is decision-making?Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.
Three balls – each of which is either red or yellow, lie in a straight line on a pool table.
Adam strikes the first ball, which is red.
That ball hits the middle ball.
The middle ball then hits the last ball, which is yellow.
Only one of the balls was yellow.
Because the yellow ball is hit by the other ball.
Then the correct option is D.
More about the decision-making link is given below.
https://brainly.com/question/3369578
#SPJ2
Find the inverse of the function f(x) = e^(x −3) + 7
ASAP!!! LOOK AT THE IMAGE FOR THE GRAPH AND ANSWER CHOICES!! PLEASE HELP URGENT!!
Answer:
The answer is D.
4x + y = 2
x - y = 3
____________
When given a graph with an intersection of two lines, first locate the y-intercept (the point where x = 0) of each line, and then find it's slope by evaluating its change in y over the change in x.
It is also possible to eliminate the incorrect systems using substitution when given a point of intersection.
For example, as the point of intersection is apparent on this graph, you can substitute these coordinates from the graph into each of the systems of equations given in the choice answers to verify it.
For it to be a solution, it must satisfy (make true) both equations of the system.
(a, b) : (x, y)
Given that (1,-2) is our point of intersection according to the graph.
Choice A is incorrect because (1, -2) → x + 4y = 3 → (1) + 4(-2) = 3 → 1 + (-8) = 3 →
1 - 8 = 3 → -7 ≠ 3.
And (1, -2) → x + y = 2 → (1) + (-2) = 2 →
-1 ≠ 2.
It is already incorrect as one of the
equations in this system do not satisfy the coordinate.
Choice B is also incorrect because
(1, -2) → x + 4y = 2 → (1) + 4(-2) = 2 →
(1) + (-8) = 2 → 1 - 8 = 2 → -7 ≠ 2.
And (1, -2) → x + y = 3 → (1) + (-2) = 3 →
1 - 2 = 3 → -1 ≠ 3.
Lastly, Choice C is incorrect because
(1, -2) → 4x + y = 3 → 4(1) + (-2) = 3 →
4 + (-2) = 4 - 2 = 3 → 2 ≠ 3.
And (1, -2) → x - y = 2 → (1) - (-2) = 2 →
1 + 2 = 2 → 3 ≠ 2.
Therefore D is correct because it is the last answer remaining.
Also here is proof:
(1, -2) → 4x + y = 2 → 4(1) + (-2) = 2 →
4 + (-2) = 2 → 4 - 2 = 2 → 2 = 2
So one equation fits the coordinate, but this cannot yet be verified as the working system unless both equations fit the point.
So (1, -2) → x - y = 3 → (1) - (-2) = 3 →
1 + 2 = 3 → 3 = 3
Now we can say that this is the working system.
_____________________________
The next method involves strong observation of the graph to find both equations in slope-intercept form and then back into standard form to find a match of the choice answers as both systems are in standard form (Ax + By = C)
With the first line, it has a y-intercept of 2 because this is where it crosses the y-axis when x = 0. It also has a slope of -4 because it goes down 4 units every 1 unit to the right. This means that the first line has an equation of y = - 4x + 2.
Slope intercept form is the form y = mx + b where m is the slope( rise over run/change in y over change in x) , and b is the y-intercept (where x = 0).
The next line has a y-intercept of -3 because this is where it crosses the axis, and where x = 0. This also has a slope of 1 because it rises by 1 every run or goes up 1 unit every 1 unit to the right. therefore the second line has an equation of y = x - 3.
ABC is congruent to DEF.
what is the length of AB and what is angle EDF?
Answer:
10 In the diagram below, DE divides AB and AC proportionally, m∠C = 26°, m∠A = 82°, and DF bisects ∠BDE. The measure of angle DFB is. 1) 36°. 2) 54°. 3) 72°.
Step-by-step explanation:
Help plz ASAP brainliest
Answer:
15
Step-by-step explanation:
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
what are the partial products when finding 1,643×4.
Answer:
4,000
600
160
12
Step-by-step explanation:
When using partial products, you basically break up the number into ones, tens, hundreds, thousands, etc.
So the partial products of 1,643 x 4 will be,
1,000 x 4
600 x 4
40 x 4
3 x 4
The partial products of the multiplication problems are,
4000
600
160
12
The answer will be 4,772.
The partial products of the multiplication problems are,
4000, 2400, 160 and 12
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
When using partial products, you basically break the number into ones, tens, hundreds, thousands, etc.
So the partial products of 1,643 x 4 will be,
1,643 can be written as 1000+600×40+3.
Now multiply with 4.
(1000+600×40+3)×4
1,000 x 4+600 x 4+40 x 4+3 x 4
4000+2400+160+12
Hence the partial products of the multiplication problems are,
4000, 2400, 160 and 12 and The answer will be 4,772.
To learn more on Multiplication click:
https://brainly.com/question/5992872
#SPJ2
Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
For such more question on equation:
https://brainly.com/question/17145398
#SPJ8
Given ▲ABC with vertices A(2, 1), B(5, 6), and C(-1, 4) as shown. Find the number of square units in the area of ▲ABC in simplest form.
Answer:
18
Step-by-step explanation:
imagine cheating in moems
Answer:
nice try
Step-by-step explanation:
im not given u any answer, this is moems, u noob
Which is the dependent variable in 4x^2-5/6x-9=y if y=f(x)
Answer:
y
Step-by-step explanation:
The expression
y = f(x)
tells you that y is the dependent variable, and that it depends on x, the independent variable. The independent variable is always the function argument. Any variable that depends on that is the dependent variable.
Select the algebraic expression for the product of five and the sum of twice a number and ten.
A 5(2y + 10)
B 2(5y) + 10
C 5(y + 10)
D 2(5y + 10)
A car is traveling at a rate of 108 kilometers per hour. What is the cars rate in meters per second? How many meters will the car travel in 20 seconds?
Answer:
\(\frac{30meters}{second}\)
600meters
Step-by-step explanation:
Use conversion factors that represent 1. You can cross cancel wods just like numbers.
\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)
\(\frac{108000meters}{3600seconds}\)
\(\frac{30meters}{second}\)
\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)
600 meters
Helping in the name of Jesus.
Find the slope intercept y-3.5=-2x
Answer:
y=−2x+3.5
Step-by-step explanation:
(don’t mind me doing this on my math homework)
Determine whether the given ordered pairs listed are solutions of the system of linear equations.
2x + y = 5
− 3x + 5y = − 1
(a) (b)(1,3) (2,1)
(a) Is (1,3) a solution?
(1, 3) is not a solution to the system of linear equations and (2,1) is a solution to the system of linear equations.
What are linear equations?
To check if the ordered pair (1, 3) is a solution to the system of linear equations:
2x + y = 5 ...(1)
−3x + 5y = −1 ...(2)
Substitute x = 1 and y = 3 in equations (1) and (2), respectively:
2(1) + 3 = 5 ...(1)
−3(1) + 5(3) = −1 ...(2)
Simplifying these equations:
2 + 3 = 5 (true)
−3 + 15 = −1 (false)
Therefore, (1, 3) is not a solution to the system of linear equations.
To check if the ordered pair (2,1) is a solution to the system of linear equations:
2x + y = 5 ...(1)
−3x + 5y = −1 ...(2)
Substitute x = 2 and y = 1 in equations (1) and (2), respectively:
2(2) + 1 = 5 ...(1)
−3(2) + 5(1) = −1 ...(2)
Simplifying these equations:
4 + 1 = 5 (true)
−6 + 5 = −1 (true)
Therefore, (2,1) is a solution to the system of linear equations.
To know more about linear equation, visit:
https://brainly.com/question/29739212
#SPJ9
Question 10 please help and show step by step working out
Answer:
P and Q must have some relation f their integers but it doesn't give a value
Step-by-step explanation:
Answer:
The answer is
\(8 + \sqrt{48} \)
3x^2+ 5x − 2 = 0 solve
SHOW ALL WORK AND STEPS FOR BRAINLIEST
9514 1404 393
Answer:
x = -2 and x = 1/3
Step-by-step explanation:
The simple way to solve this is to enter the equation into a graphing calculator and have it show you what the zeros are.
The solutions are x = -2 and x = 1/3.
__
One way to solve this is to factor it. The product of the leading coefficient and the constant is (3)(-2) = -6. You want to find factors of this number that have a sum equal to the coefficient of the linear term: 5.
-6 = (-1)(6) = (-2)(3) = ...
The first pair of factors listed here has a sum of 5, so we can rewrite the equation as ...
3x^2 -x +6x -2 = 0
Factoring pairs of terms, we have ...
x(3x -1) +2(3x -1) = 0
(x +2)(3x -1) = 0
The solutions are the values of x that make these factors zero:
x + 2 = 0 ⇒ x = -2
3x -1 = 0 ⇒ x = 1/3
The solutions are x = -2 and x = 1/3.
the team to win 3 games wins the playoffs. what is the probability of a team winning a 5 game playoff if it has 50% chance of winning each game
Therefore , the solution of the given problem of probability comes out to be probability of winning a 3 game out of 5 is 0.5 .
What specifically does the probability method entail?Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any quantity between 0 and 1, whereby 1 frequently represents certainty range 1 and 0 normally denotes possibility, can be used to represent chance. A probability diagram illustrates the likelihood that a particular event will take place.
Here,
Given :
Since,
the probability to win a game is 50% .
So they have to win 3 games ,
and so , the probability to win the game is:
=> 1/2 * 1
=> 0.5
thus,
probability of winning a 3 game out of 5 :
=> 0.5
Therefore , the solution of the given problem of probability comes out to be probability of winning a 3 game out of 5 is 0.5 .
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
Please help
21. What are the missing coordinates of point Q?
P(0, c)
A.
B.
C.
D.
Session 2-Calculator Allowed
(-2a, 0)
(2a, 0)
(-2a, c)
(2a, c)
Q(?, ?) O
N(2a, 0)
"The correct answer is option A." The missing coordinates of point Q are (a, c/2).We are given the coordinates of points P and N as (0, c) and (2a, 0), respectively. We are also given that point Q lies on the same line as points P, Q, and N. We need to find the missing coordinates of point Q.
Since point Q lies on the same line as P, Q, and N, its x-coordinate must be halfway between the x-coordinates of points P and N. That is, the x-coordinate of Q is:
x-coordinate of Q = (x-coordinate of P + x-coordinate of N) / 2
x-coordinate of Q = (0 + 2a) / 2 = a
So, we know that the x-coordinate of point Q is a.
To find the y-coordinate of point Q, we can use the fact that point Q lies on the same line as point P, which has coordinates (0, c). The equation of the line passing through P and N is:
y - c = (0 - c) / (2a - 0) * (x - 0)
Simplifying this equation gives:
y - c = -c/2a * xy = -c/2a * x + c
Substituting x = a in this equation gives:
y = -c/2a * a + cy = -c/2 + cy = c/2
So, we know that the y-coordinate of point Q is c/2.
For such more questions on missing coordinates:
https://brainly.com/question/27481419
#SPJ11
5 people are evenly sharing 12 kilograms of apples how many kilograms of apples should each person get
Answer:
2.4 kilograms
Step-by-step explanation:
Given: 5 people are evenly sharing 12 kilograms of apples
To find: quantity of apples that each person should get
Solution:
Use the unitary method to get the required answer.
Under unitary method, if the value of multiple items is given to us, divide the total value by the number of items to obtain the value of one item.
Quantity of apples for 5 people = 12 kilograms
Quantity of apples for 1 person = \(\frac{12}{5} =2.4\) kilograms
So, each person should get 2.4 kilograms of apples.
Answer:
12/5 or 2 2/5
Step-by-step explanation:
We need to divide the 12 kilograms of apples by the 5 people sharing them, or 125
12 ÷ 5 = 12/5
12/5 = 5/5 + 5/5 + 2/5
= 1 + 1 + 2/5
= 2 2/5
Each person should get 12/5, or 2 2/5, kilograms of apple
find the value of ...B
Answer:
b=–2
Step-by-step explanation:
we've got:
(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243
and we've also got the coefficient of x³ as –720
90b³=–720===> b³=–8===> b=–2