write an expression in simplified form to represent the area of the trapezoid
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Related Questions
No penalties have been given. Fencer X attacks. Fencer Y makes a parry, and scores a riposte to the valid target of Fencer X. During the parry, Fencer Y strikes Fencer Xs mask with the bell guard. What should the Referee do
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Fencer X attacks. Fencer Y makes a parry, and scores a riposte to the valid target of Fencer X. During the parry, Fencer Y strikes Fencer Xs mask with the bell guard. annual the touch fencer Y recieves a RED CARD.
what are the fencing rules ?
Penalty cards or flags are also used in modern fencing. Each card has a unique meaning. A fencer who receives a yellow card is warned, but no further action is taken. A fencer who receives a red card is warned, and their opponent receives a touch. A fencer who receives a black card is disqualified from the competition and may be disqualified from the tournament, expelled from the venue, or suspended from future tournaments if the offence is serious. However, black cards are rarely given to fencers. It should be noted that spectators can (and occasionally are) carded or expelled.
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A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?
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A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?
Answer:
Journey taken time 5 hour at speed of 45km/hr
So,
1 hour=45/5=9km/hr
Therefore,3 hour=(9x3)km/hr.
(please mark me brainliest if my answer was good)
I think of a number, subtract 5 and then multiply by 2. my answer is 80. what is my number?
Answers
Answer:
200
Step-by-step explanation:
Just do it in reverse and reverse "roles" multiplying Becomes Devidng and Devidng Becomes multiplying:
80/2=40, 40x5=200
Write a function of the geometric sequence with a starting term of 6 and a common ratio of 3. Find the sixth term.
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A function for the described sequence is; f(n) = 6• 3^(n-1) and the sixth term is; 1458.
What is the sixth term of the sequence?Since, it follows that the first term of the sequence is; 6 and the common ratio is 3, it follows that the recursive function that represents the sequence is; f(n) = 6• 3^(n-1).
Additionally, by substitution of 6 for n; f(6) = 1,458.
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The measures of the angles of a triangle
are shown in the figure below. Solve for x.
60°
(4x+3)°
(2x+9)⁰
Answers
Answer:
x = 18
Step-by-step explanation:
In order for a triangle to be a triangle, all angles must add up to 180.
This means that we can create an equation to solve for x, using the angles given.
180 = 60 + (4x+3) + (2x+9) --> remove brackets and combine like terms
180 = 60 + 6x + 12
180 = 72 + 6x
108 = 6x
18 = x
Sampling distribution. a quarterback threw 1 interception in his first game, 2 interceptions in his second game, 5 in terceptions in his third game, and then he retired. consider the values of 1, 2, and 5 to be a population. assume that samples of size 2 are randomly selected (with replacement) from the population
a. list the 9 different possible samples and find the mean of each sample
b. what is the mean of the sample means from part a?
c. is the mean of the sampling distribution from part t equal to the mean of the population of the three listed values? are those means always equal?
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(a) The Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.
(b) The mean of the sample means from part (a) is 8/3.
(c) Yes, The mean of the sample distribution is always equal to the mean of the Population.
According to the questions,
Game number 1 2 3 Total
Number of interceptions 1 2 5 8
a) Element 1 Element 2
1 1
2 2
5 5
1 2
1 5
2 5
2 1
5 1
5 2
Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.
b) The mean of the sample means from part a.
(1+2+5+1.5+3+3.5+1.5+3+3.5)/9 = 8/3
The mean of the sample means from part (a) is 8/3
c) Mean of the populations = (1+2+5)/3 = 8/3
The mean of the sample distribution from part b. is 8/3
Yes, The mean of the sample distribution is always equal to the mean of the Population
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Which of the following expressions has a product of 36?
A. (-3)(12)
B. (-6)(-6)
C. 2(-18)
D. 4 · 8
Answers
Answer:
B. (-6)(-6)
Step-by-step explanation:
- X - = +
and 6 x 6 = 36.
math related pls help
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Hello and Good Morning/Afternoon:
Let's take this problem step by step:
Let's consider what the problem wants:
⇒ the value of (f-g)(y)
Let's consider what the problem gives us:
⇒ the value of f(y) and g(y)
Let's consider the relationship between f(y), g(y) and (f-g)(y)
⇒ [tex](f-g)(y)=f(y)-g(y)[/tex]
Let's solve for (f - g)(y)
[tex]\hookrightarrow(f-g)(y) = f(y)-g(y) = 5y^2-2y+1-(-3y^2-y-2)\\=5y^2-2y+1+3y^2+y+2=8y^2-y+3[/tex]
Answer: 8y²- y + 3
Hope that helps!
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Which equation would find the distance between the two points show on the coordinate plane?
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The equation would find the distance between the two points is
[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
According to the question,
The equation would find the distance between the two points is
[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
If (x₁, y₁) and (x₂, y₂) be any point in the plane then the distance between the two points equation is [tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
Hence, the equation would find the distance between the two points is
[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
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a machine makes 36 widgets in 20 minutes. at that rate, how many widgets will the machine make in an 8-hour day?
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What is the common ratio of the geometric sequence below?
10, 15, 22.5, 33.75, ...
A. 2/3
B. 1.5
C. 5
D. 7
Answers
The common ratio of the geometric sequence is 1.5
Common ratio can be described as difference between two numbers in a sequence.
The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term
= 15/10
= 1.5
Hence the common ratio of the sequence is 1.5
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Answer:
B
Step-by-step explanation:
The common ratio of the geometric sequence is 1.5
Common ratio can be described as difference between two numbers in a sequence.
The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term
= 15/10
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1.5
Sanjay and felipe are putting together a 500-piece puzzle. sanjay could do the entire puzzle by himself in 6 hours, while it would take felipe 8 hours to do the puzzle alone. a table showing rate in part per hour, time in hours, and part of puzzle complete. the first row shows sanjay, and has blank, t, t. the second row shows felipe, and has blank, t, t. use the table to write and solve an equation to determine the approximate amount of time it would take sanjay and felipe to do the puzzle if they were working together.
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Sanjay and Felipe would take a time of 3.4 hours to do the puzzle if they were working together.
What is the time?Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future.
The amount of time that something exists or continues to happen as measured or measurable.
The duration of events or the gaps between them can be measured, compared, or even ordered using time.
Time taken by Sanjay= 6 hours
Time taken by Felipe= 8 hours
Time taken by both if they work together,
=[tex]\frac{1}{1/6+1/8}[/tex]
=[tex]\frac{1}{\frac{4+3}{24} }[/tex]
=24/7
=3.4 hours
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Answer:
the answer is C
Step-by-step explanation:
26. Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If a machine made of this alloy weighs 66 pounds, how many pounds of aluminum does it contain? (A) 660 (B) 60 (C) 6.6 (D) 6
Answers
Answer:
(D). 6.
Step-by-step explanation:
The number of parts = 1 + 10 = 11.
So 10/11 of the alloy is copper and 1/11 is aluminium.
So the answer is 1/11 * 66
= 66/11= 6 pound,s
which statemennt is false?
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Answer:
B. Every integer is also an irrational number.
Use the box-and-whisker plots to determine which statements are true.
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The true statements are :
the average monthly temperatures of New Orleans are not as varied as that of Indianapolis.
The median of the average monthly temperatures of New Orleans is equal to the upper quartile of the average monthly temperature of Indianapolis.
What are the true options?
A box plot is used to study the distribution and level of a set of scores. The box plot consists whiskers. The whiskers represents the minimum and maximum scores.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Range for New Orleans = 85 - 50 = 35
Range for Indianapolis = 75 - 25 = 50
Median for New Orleans = 70
Upper quartile for Indianapolis = 70
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The polynomial equation x^4 + x^3 + x^2 + x + 1 = 0 has zero positive real roots. Please select the best answer from the choices provided T F
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There are zero positive real roots for the given polynomial equation [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]. This is explained by Descarte's rule of signs. So, the best choice is T (true).
What is Descarte's rule of signs?Descarte's rule of signs tells about the number of positive real roots and negative real roots.The number of changes in signs of the coefficients of the terms of the given polynomial f(x) gives the positive real zeros of the polynomial.The number of changes in signs of the coefficients of the terms of the given polynomial when f(-x) gives the negative real zeros of the polynomial.Calculation:The given polynomial equation is [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]
On applying Descarte's rule of signs,
[tex]f(x)=x^4 + x^3 + x^2 + x + 1[/tex]
Since there are no changes in the signs of the coefficients of any of the terms in the above polynomial, the polynomial has no positive real roots.
[tex]f(-x)=(-x)^4+(-x)^3+(-x)^2+(-x)+1\\ = x^4-x^3+x^2-x+1[/tex]
Since there are four changes in the signs of the coefficients of the terms of the given polynomial when f(-x), the polynomial has 4 negative real roots.
Therefore, the given polynomial equation has zero positive real roots. So, the correct choice is T(true).
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An architect wants an artistic flair to the house he is building, so he designs windows that are three fourths of a circle in shape. The builder is making trim for the windows and needs to know the length of the arc of the outer rim of the window. If the central angle is 270 degrees, and the radius of the partial circle is 30 inches, how much trim is needed for each window? Round your answer to the nearest inch, and enter the number only.
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The amount of rim needed for each window is 141.4 in
How to find the length of the outer rim?Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.
What is an arc?An arc is part of section of the circumference of a circle
What is the length of an arc?So, length of arc, L = Ф/360 × 2πR where
Ф = central angle of arc and R = radius of circle.Gven that for the window rim
Ф = angle of the rim = 270° and R = radius of the rim = 30 inSubstituting the values of the variables into the equation for L, we have
L = Ф/360 × 2πR
L = 270°/360° × 2π × 30 in
L = 3/4 × 2π × 30 in
L = 3/2 × π × 30 in
L = 3 × π × 15 in
L = 45π in
L = 141.37 in
L ≅ 141.4 in
So, the amount of rim needed for each window is 141.4 in
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Chantelle has 56 stickers. she will give all of the stickers to 8 friends. each friend will receive the same number of stickers. which equation will help chantelle decide how many stickers, n, to give to each friend?
Answers
Chantelle can use the following equation,
n = (Number of stickers) / (Number of friends)
or n = 56/8
Given Information
Chantelle has 56 stickers
⇒ Number of stickers = 56
She will distribute all of the stickers to 8 friends
⇒ Number of friends = 8
The number of stickers each friend will get = n
We have to form an equation for n.
Forming the Equation
Equation for the number of stickers to be given to each friend is as follows,
n = (Number of stickers) / (Number of friends)
n = 56/8
n = 7
Therefore, Chantelle needs to give 7 stickers to each of her 8 friends. And, the equation used to find this count, n is n = (Number of stickers) / (Number of friends) or n =56/8
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When you multiply a number by 25 you get another number that is 250 more than 1000. find the number
Answers
Answer:
50
Step-by-step explanation:
1000+250=1250
After that Just do it in reverse:
1250/25=50
Supergran runs from her chalet to the top of the mountain. She knows that if she runs at a speed of 6 mph she will arrive at 1 pm, whereas if she leaves at the same time and runs at 10 mph, she will arrive at 11 am. At what speed should she walk if she wants to arrive at 12 noon
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Using proportions, it is found that she should walk at a speed of 8 mph to arrive at noon.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the speeds of arrival at 11 am and at 1 pm, we have that for each 2 km slower, she arrives one hour later.
Walking at 10 mph she arrives at 11 am, hence she should walk at a speed of 8 mph to arrive at noon.
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find x and the measure of each side. Round to two decimal places, if necessary.
Answers
The values of the triangles are as follows:
x = 7 unitsGH = 21 unitsHI = 21 unitsGI = 12 unitsHow to find angles and side of a triangle?The triangle is an isosceles triangle because two sides and angles are equal. Therefore,
4x - 7 = 2x + 7
4x - 2x = 7 + 7
2x = 14
x = 14 / 2
x = 7 units
GH = 4(7) - 7 = 28 - 7 = 21
HI = 2(7) + 7 = 14 + 7 = 21
GI = 7 + 5 = 12
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Suppose a random samples of ticket prices for concerts by the Rolling Stones was obtained. For comparison purposes another random sample of Coldplay ticket prices was obtained. True or False: The two groups of data are independent samples.
Answers
A random samples of ticket prices for concerts and the random samples of Coldplay ticket prices are independent . The answer is True.
According to the questions,
A random samples of ticket prices for concerts by the Rolling Stones was obtained. For comparison purposes another random samples of Coldplay ticket prices was obtained.
The two groups of data are independent samples.
Hence, a random samples of ticket prices for concerts and the random samples of Coldplay ticket prices are independent . The answer is True.
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help me pls
if you write a wrong answer you will be reported by the app.
Answers
The complete proof of the theorem is
Statements Reasons
1. p||q 1. Given
2. ∠1≅∠3 2. Alternate interior angles theorem
3. ∠1≅∠3 3. Definition of congruent angles
4. ∠3 + ∠2 ≅ 180° 4. Definition of linear pair
5. m∠3 + m∠2 = 180° 5. Linear pair theorem
6. m∠1 + m∠2 = 180° 6. Substitution prop. of equality
7. ∠1 and ∠2 are supplementary 7. Consecutive interior angles theorem
Proof of Angle theoremsFrom the question, we are to complete the given proof
The proof is completed as shown below
Statements Reasons
1. p||q 1. Given
2. ∠1≅∠3 2. Alternate interior angles theorem
3. ∠1≅∠3 3. Definition of congruent angles
4. ∠3 + ∠2 ≅ 180° 4. Definition of linear pair
5. m∠3 + m∠2 = 180° 5. Linear pair theorem
6. m∠1 + m∠2 = 180° 6. Substitution prop. of equality
7. ∠1 and ∠2 are supplementary 7. Consecutive interior angles theorem
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two hundred twenty five students play a team sport at lincoln high school these students represent 3/8 of the total
Answers
The total number of students in the school is calculated as; 600 students
How to find fraction of a total?Usually, some figures are expressed as a fraction of a whole as depicted in this case. Thus, when we are given a fraction of a whole to be equal to a particular figure, we will just cross multiply to get the total number.
We are told that;
Number of students that play a team sport at Lincoln high school = 225
Now, we are told that the number above represents a fraction of 3/8 of the total students in that school.
Thus, if the total number of students in the school is x, then we can say that;
(3/8)x = 225
Multiply both sides by 8 to get;
3x = 1800
x = 1800/3
x = 600 students
Thus, we can conclude that if two hundred and twenty five students play a team sport at Lincoln high school and these students represent 3/8 of the total, then we can say that the total number of students in the school is 600 students.
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Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5
Answers
One landscaper's hourly rate is $15 lower than the other landscaper's. Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.
What is system of linear equations?
A set of two linear equations with two variables is a system of linear equations. Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly rate. A set of linear equations was appropriately written and solved by Casey using substitution. He solved for the other variable and substituted an expression for one in his work. The intersection of the lines that represent the linear equations is where a system of linear equations finds its solution. Each landscaper bills a fee for each job in addition to an hourly cost. Casey produced a system of linear equations that was correctly written and solved. The hourly rates for both landscapers are the same, however their rates for individual jobs vary.
Casey is deciding between hiring one of two landscapers. Each landscaper bills a fee for each job in addition to an hourly cost. By using substitution, Casey created and properly figured out a set of linear equations. He solved for the other variable and replaced an expression for one in his work, producing the equation 5 = 20.
equation 5=20
20-5 = 15
Therefore, One landscaper's hourly rate is $15 lower than the other landscaper's.
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kể tên các cặp góc kề bù
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Welcome to https://saigonstartravel.com/ Saigon Star Travel – Top Thương Hiệu Du Lịch Hàng Đầu Tại TP Hồ Chí Minh là Đơn vị tổ chức Tour du lịch trong nước & nước ngoài chuyên nghiệp, Dịch vụ Visa – Vé máy bay Nhanh chóng & Uy tín và Cho Thuê xe Du lịch từ 16-29-35-45 chỗ & Xe giường nằm Chất lượng.
Si a,b y c son números dígitos tales que a + b + c es igual a 20. ¿Cual es el valor de abc + bca + cab?
Answers
Basado en la información, el valor de abc + bca + cab debe ser de 60.
¿Cuál es el valor de a+b+c?El valor de la combinación de estás tres letras es de 20.
¿Cuál es el valor de abc + bca + cab?Según la propiedad conmutativa el orden de los factores sumados no debe afectar su resultado, por lo que:
abc = 20bca = 20cab= 2020+20+20 = 60
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If a circle has a radius of 4 meters, what is its circumference?
Answers
Answer: 12.56
Step-by-step explanation:
4 x 3.14
pi = 3.14
I really need help for my hw please help !!!!!!!
Answers
Answer:
1. 5.46 inches
2. 111% rounded to the nearest percent
3. 85.9 tons
4. 367.2 ft.
5. 49 percent
6. 466.7 inches
Step-by-step explanation:
1. .28 x 19.5
2. 97 = 87x Divide both sides by 87
1.11 = x This gives our answer as a decimal. Move the decimal 2 places to the right to make a percent. 111%
3. 146 = 1.7x to change a percent to a decimal move the decimal to places to the left. Divide both sides by 1.7 and round
x = 85.9
4. (2.7) 136 = x
367.2 = x
5. x123 = 60 Divide both sides by 123
x = 0.4878 Move the decimal two places to the right and round to make a percent. 48.8
6. .12x = 56 Divide both sides by .12
x = 466.7
Stronger evidence against the null hypothesis is indicated by: Group of answer choices lower levels of significance. smaller p-values. lower probabilities for the power of the test. smaller critical values.
Answers
Stronger evidence against the null hypothesis is indicated by: smaller p-values.
What is null hypothesis?A statistical conjecture known as a null hypothesis asserts that certain features of a population or data-generating process are not different from one another.
A mechanism to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing.
The alternative hypothesis is supported if the null hypothesis can be rejected.
The foundation of the scientific falsification principle is null hypothesis testing. The null hypothesis presupposes that any variation in the selected characteristics you observe in a set of data is the result of chance.
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