The rectangle that has the maximum area when the length is 5.5 and the width is 5.5.
What is the area of the rectangle?
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
To find the rectangle with the maximum area among all rectangles with a perimeter of 22, we need to consider the relationship between the perimeter and the dimensions of the rectangle.
Let's assume the width of the rectangle is represented by "w". Since a rectangle has two equal pairs of sides, the length of the rectangle will also be "w".
The perimeter of the rectangle is given by:
Perimeter = 2(length + width)
Given that the perimeter is 22, we can set up the equation:
22 = 2(2w)
Simplifying:
22 = 4w
Dividing both sides by 4:
w = 5.5
So, the width of the rectangle is 5.5, and since the length is equal to the width, the length is also 5.5.
Now, let's define the objective function in terms of the width, w, and the area, A.
The area of the rectangle is given by:
Area = length × width
Substituting the values:
A = (5.5)(5.5) = 30.25w²
So, the objective function in terms of the width of the rectangle, w is A = 30.25w²
hence, the rectangle that has the maximum area when the length is 5.5 and the width is 5.5
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Complete question:
Of all rectangles with a perimeter of 29, which one has the maximum area? (Give the dimensions.) Let A be the area of the rectangle. What is the objective function in terms of the width of the rectangle, w? Aequals 14.5 w minus w squared (Type an expression.) The interval of interest of the objective function is nothing. (Type your answer in interval notation. Use integers or simplified fractions for any numbers in the expression.) The rectangle that has the maximum area has length nothing and width nothing.
A
d
7 cm
B
M
1. Que représente d pour le segment [AB] ?
2. Quelle est la longueur du segment [MB] ?
3. Quelle est la nature du triangle ABM?
Answer:
a
Step-by-step explanation:
because it's calculated by dividing AbM and that's how a is answer
A graphical tool used to help determine whether a process is in control or out of control is a a. control chart b. boxplot c. scatter diagram d. histogram
The graphics tool used to help determine whether a process is in control or out of control is a. control chart.
A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.
The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.
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I need some help with this problem
Answer:
B
Step-by-step explanation:
15x + 3x + 19 = -17
18x + 19 = -17
18x = -36
x = -2
A board that is 4 1/2 feet long weighs 7 1/5 pounds. How much would one foot of the board
weigh? Write your answer as a mixed number.
Answer:
A board that is 4 1/2 feet long weighs 7 1/5 pounds. How much would one foot of the board weigh? Write your answer as a mixed number
Step-by-step explanation:
The weight of the board in one foot will be 1.16 pounds per foot.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A board that is 4 1/2 feet long weighs 7 1/5 pounds.
Convert the mixed fraction number into a fraction number.
4 1/2 feet = 9/2 feet
7 1/5 pounds = 36/5 pounds
The weight of the board in one foot will be
⇒ (36/5) / (9/2)
⇒ (36/5) x (2/9)
⇒ 1.16 pounds per foot
The weight of the board in one foot will be 1.16 pounds per foot.
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Answer the question below:
Answer:
6.75
Step-by-step explanation:
Answer:
The area is 6.75 ft.
Step-by-step explanation:
To solve this:
b × h = A
Base × Height = Area
The base is 3 ft.
The height is 2.25 ft.
3 × 2.25 = 6.75
So your answer is 6.75 ft.
Can somebody plz answer this correctly!!! tell me which I should circle?
(Grade5math)
(WILL MARK AS BRAINLIESTTT)
:DDDDD
Answer:
13. 5/8
14. 16/24
15. 15/35
Answers:
13. 5/8
\(\frac{5}{8} \neq \frac{2}{3}\)
14. 16/24
\(\frac{16}{24} \neq \frac{3}{4}\)
15. 15/35
\(\frac{15}{35} \neq \frac{2}{7}\)
What percent of 69 is 87?
Answer:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 69 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 69, so we can write it down as 100%=69.
4. We know, that x% equals 87 of the output value, so we can write it down as x%=87.
5. Now we have two simple equations:
1) 100%=69
2) x%=87
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=69/87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 87 is what percent of 69
100%/x%=69/87
(100/x)*x=(69/87)*x - we multiply both sides of the equation by x
100=0.79310344827586*x - we divide both sides of the equation by (0.79310344827586) to get x
100/0.79310344827586=x
126.08695652174=x
x=126.08695652174
now we have:
87 is 126.08695652174% of 69
Step-by-step explanation:
Hope it helps :)
Brainliest pls? Have a good day/night
c. adams, quadruple crossing number of knots and links, math. proc. of cambridge philos. soc., 156(2):241-253, 2014.
Title: Quadruple Crossing Number of Knots and Links by C. Adams
In the article titled "Quadruple Crossing Number of Knots and Links" by C. Adams, published in the Mathematical Proceedings of the Cambridge Philosophical Society, volume 156(2), pages 241-253 in 2014, the author explores the concept of the quadruple crossing number of knots and links.
The quadruple crossing number of a knot or link is defined as the minimum number of times any diagram of the knot or link must cross itself in order to represent the knot or link. C. Adams delves into the study of this intriguing aspect of knot theory, aiming to determine the quadruple crossing number for various knots and links.
Through meticulous analysis and calculations, Adams examines different types of knots and links and investigates their crossing numbers. The author presents mathematical proofs, formula derivations, and knot diagrams to illustrate the concepts and results obtained.
By exploring the quadruple crossing number, Adams aims to deepen our understanding of the complexity and structure of knots and links, shedding light on their mathematical properties and connections to other branches of mathematics.
C. Adams' article on the quadruple crossing number of knots and links provides valuable insights into the field of knot theory. By determining the minimum number of crossings required to represent various knots and links, the author contributes to our understanding of the complexity and intricacy of these mathematical objects. The findings presented in this article serve as a foundation for further research and exploration in the field of knot theory, and they demonstrate the significance of the quadruple crossing number as a fundamental parameter in the study of knots and links.
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Kelsey's preschool tuition is $180 per week. She receives a small discount for the honor roll, $50 per month. Her grandparents help out and pay 20% of her tuition. How much do her grandparents pay?
Answer:
The answer is $104.
Step-by-step explanation:
So take away the discount which is $50. That leaves $130. Then do the percentage decrease which is 130 minus 20%. The answer to that is $26. Her grandparents pay $104. (I'm really not sure of my answer though).
Her grandparents pay $104.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Kelsey's preschool tuition is $180 per week.
She receives a small discount for the honor roll, $50 per month.
Her grandparents help out and pay 20% of her tuition.
Kelsey's tuition fee after discount= 180- 50 = $130
and, Her grandparents pay = 130- 130 x 0.2 = 130- 26= $104
Hence, Her grandparents pay $104.
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Carlita has a swimming pool in her backyard that is rectangular with a length of 24 feet and a width of 14 feet.
She wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she wants to
have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.
Answer:
Use the illustration to solve. (If you have one.)
Step-by-step explanation:
If this shape is Irregular, than use the other angles to solve.
Consider The Joint Probability Distribution Below. Complete Parts (A) Through (C). A. Compute The Marginal Probability Distributions
The marginal probability distributions can be computed by summing the probabilities along the rows and columns of the joint probability distribution.
To compute the marginal probability distributions, we need to sum the probabilities along the rows and columns of the joint probability distribution. Let's denote the joint probability distribution as P(X, Y), where X represents one variable and Y represents the other variable.
Step 1: Compute the marginal probability distribution of X.
To find the marginal probability distribution of X, we sum the probabilities across each row of the joint probability distribution, fixing the value of X and summing over all possible values of Y. This will give us the probabilities P(X) for each value of X.
Step 2: Compute the marginal probability distribution of Y.
Similarly, to find the marginal probability distribution of Y, we sum the probabilities across each column of the joint probability distribution, fixing the value of Y and summing over all possible values of X. This will give us the probabilities P(Y) for each value of Y.
Step 3: Interpret the marginal probability distributions.
The marginal probability distributions provide the probabilities of each variable independently, disregarding the other variable. They give us insights into the individual behavior of each variable without considering their joint occurrence.
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Which sign makes the statement true?
|–239.80| ? –257.51
Answer: greater than
Step-by-step explanation:
A positive is greater than a negative
The price of a CD increased from $20 to $24. Find the percent of increase
For each question below, determine True or False: If a simple random sample is chosen with replacement, each individual has
the same chance of selection on every draw.
The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.
If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.
The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.
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Please help this is due tommorrow and I'm bad with fractions!!
Answer:
-5/9
Step-by-step explanation:
Match the following concepts Group of answer choices Proxy voting [ Choose ] Board of Directors each candidate for the board of directors is elected by a majority vote. Therefore, any voting block which controls 51% of the votes will be able to elect all board members. Preemptive right [ Choose ] straight-line voting [ Choose ] cumulative voting
The correct matches are =
Proxy voting- Allowing someone else to vote one's shares
Board of Directors- the committee that hires, evaluates and monitors the senior managers of the firm
Preemptive right- The right to firstly buy any additional shares that the firm may issue before they are sold to the public
Straight-line voting- each candidate for the board of directors is elected by a majority vote
Cumulative voting- board seats are awarded in proportion to the votes received.
Definitions =
Proxy voting = Proxy voting is when a shareholder delegates their voting rights to another person or entity, known as a proxy, to vote on their behalf. This can be done for various reasons, such as when a shareholder is unable to attend a meeting or wants to entrust their voting decisions to someone else. It does not directly relate to board seats being awarded in proportion to the votes received.
Board of Directors = The Board of Directors is a group of individuals elected or appointed to represent the shareholders and oversee the management of a company. They are responsible for making major decisions, setting company policies, and appointing senior executives. Each candidate for the board of directors is typically elected by a majority vote of the shareholders.
Preemptive right = Preemptive right, also known as the right of first refusal, is a privilege granted to existing shareholders of a company. It allows them to have the first opportunity to purchase additional shares before they are offered to the public. This right helps protect the ownership interests of existing shareholders by giving them the chance to maintain their proportional ownership in the company.
Straight-line voting = Straight-line voting is not a commonly used term in corporate governance. However, based on the given options, it seems to be referring to a voting system where each shareholder is entitled to one vote per share they own. This is the standard method of voting in most corporate elections, where each shareholder's voting power is directly proportional to their shareholding.
Cumulative voting = Cumulative voting is a voting method that allows shareholders to pool their votes and allocate them as they see fit among the candidates for the board of directors. It gives minority shareholders the opportunity to concentrate their votes on fewer candidates and increase their chances of electing a representative to the board. This mechanism helps to ensure a more proportional representation of shareholders on the board.
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The complete question =
Match the following concepts Group of answer choices
Proxy voting [ Choose ] board seats are awarded in proportion to the votes received.
Board of Directors [ Choose ] each candidate for the board of directors is elected by a majority vote
Preemptive right [ Choose ] The right to firstly buy any additional shares that the firm may issue before they are sold to the public
straight-line voting [ Choose ] the committee that hires, evaluates and monitors the senior managers of the firm
cumulative voting [ Choose ] Allowing someone else to vote one's shares
The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.
Prime factorization of 48: 2 x 2 x 2 x 2 x 3
Prime factorization of 72: 2 x 2 x 2 x 3 x 3
The greatest common factor is 2 ´ 2 ´ 2 ´ 3 x 3
What is Ryan’s error?
Answer:
there will only be one 3
Step-by-step explanation:
see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Solve the equation .
The solution of the equation is x =
.
In the expression written below. the value of equation x is known to be x=10/c.
What is the equation about?From the question, we were given: 3(cx-7)=9
Therefore, we have to simply it to make x the subject of the formula (to look for x)
Hence: 3(cx-7)=9
=(cx-7)=3
=cx=10
x=10/c
Therefore, In the expression written below. the value of equation x is known to be x=10/c.
See full question below
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the following equation for x, and express its value in terms of c. 3(cx-7)=9
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Identify the wrong statements in the context of Biot number.
a. That Apply A small Biot number represents small resistance to heat conduction.
b. A small Biot number represents small resistance to heat conduction.
c. The smaller the Biot number, the more accurate the lumped system analysis.
d. The smaller the Biot number, the more accurate the lumped system analysis.
e. The Biot number is more likely to be less than 0.1 when a body is cooled using a fan.
f. The Biot number is more likely to be less than 0.1 when a body is cooled using a fan.
g. The Biot number is inversely proportional to the convection heat transfer coefficient.
The correct statements in the context of the Biot number are:
b, d and f.
The correct statements in the context of the Biot number are:
b. A small Biot number represents small resistance to heat conduction.
d. The smaller the Biot number, the more accurate the lumped system analysis.
f. The Biot number is more likely to be less than 0.1 when a body is cooled using a fan.
The incorrect statements are:
a. That Apply A small Biot number represents small resistance to heat conduction.
(The correct statement is that a small Biot number represents small resistance to heat conduction.)
c. The smaller the Biot number, the more accurate the lumped system analysis.
(This statement is correct, so it is not incorrect.)
e. The Biot number is more likely to be less than 0.1 when a body is cooled using a fan.
(This statement is correct, so it is not incorrect.)
g. The Biot number is inversely proportional to the convection heat transfer coefficient.
(This statement is incorrect. The Biot number is actually proportional to the convection heat transfer coefficient, not inversely proportional.)
Hence the correct statements in the context of the Biot number are:
b, d and f.
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x Which two choices are equivalent to this expression?
2√75 +3√50
x
x
A
25√6
B 10√3+15/2
C 25√3+25√2
D 2√25-3+3√25-2
E
3√25+2√25
g(t)=−9t−4g, left parenthesis, t, right parenthesis, equals, minus, 9, t, minus, 4
g\Big(g(g, left parenthesis
\Big)=23)=23
The resulting expression if the value of t is 23 is g(23) = -4g - 207
Function and valuesA function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given the function below;
g(t)=−9t−4g
We are to determine the value of g(23). Substitute t = 23;
g(t)=−9t−4g
g(23) = -9(23) - 4g
g(23) = -207 - 4g
g(23) = -4g - 207
Hence the resulting expression if the value of t is 23 is g(23) = -4g - 207
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help asap + 27 points
Answer:
J'= (-4,-1) K'= (-2,-4) L'= (4,-3)
P'= (-3,0) Q'= (1,3) R'= (0, -1)
Step-by-step explanation:
need help asap !!!!!
Answer:
61
Step-by-step explanation:
the angle of 119 degrees is equal to the angle on the angle on the exterior of the question mark. So all you gotta do is subtract 180-119
if a set of difference scores with df = 8 has a mean of md = 3.5 and a variance of s2 = 36, then the sample will produce a repeated-measures t statistic of t = 1.75. true or false
The given statement "if set of difference scores with df = 8 has a mean of md = 3.5 then sample will produce repeated-measures t statistic of t = 1.75." is false because it is not possible to determine t statistic.
In a repeated-measures t-test, the t statistic is calculated using the sample mean difference, the standard deviation of the sample mean difference, and the sample size. The formula for calculating the t statistic in a repeated-measures t-test is:
t = (md - μd) / (s / √n)
where md is the mean of the difference scores, μd is the population mean of the difference scores (typically assumed to be zero), s is the standard deviation of the difference scores, and n is the sample size.
In the given statement, we are provided with the mean of the difference scores (md = 3.5) and the variance (s² = 36), but we do not have the sample size (n). Therefore, we cannot calculate the t statistic using the given information.
Hence, it is not possible to determine whether the sample will produce a repeated-measures t statistic of t = 1.75 based on the provided information.
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the points on the graph show how much chee pays for different amounts of noodles, complete the statement about the graph
Using graphs,
The ordered pair, (6,15) represents here the cost of 6 pounds of noodles that is $15.
What are graphs?A structured representation of the data is all that the graph is. It assists us in comprehending the info. Data are the numerical details gathered by observation. Data is a derivative of the Latin term datum, which means "something provided."
Data is continuously gathered through observation once a research question has been formulated. After that, it is arranged, condensed, and categorised before being graphically portrayed.
Here in the question,
As we can see that the graph is a relation between the number of noodles in pounds and the cost of noodles in dollars has been given and compared.
So, as per the question,
The ordered pair that represents here the cost of 6 pounds of noodles is (6,15).
As, from the graph:
When noodles in pounds is 6, cost in dollars is 15.
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The complete question is:
the points on the graph show how much chee pays for different amounts of noodles, complete the statement about the graph
Three cubes each of side 3 cm each are joined end to end. Find the surface area of the resultant solid.
Answer:
126 cm^2
Step-by-step explanation:
The surface area of one cube face is (3 cm)^2 = 9 cm^2.
Each cube has 6 faces, but joining them together hides 4 of the faces. The surface area of the resultant solid is ...
(6·3 -4)·(9 cm^2) = 126 cm^2
(a) A = = (b) A = 2 2 4 1 -2 -2 -7] -4
By multiplying matrices B and A, we obtain the product BA. Using BA, we can solve the system of equations y + 2z = 7, x - y = 3, and 2x + 3y + 4z = 17.the values of x, y, and z are -1, 2, and 1 respectively
To find the product BA, we multiply matrix B with matrix A. The resulting matrix will have the same number of rows as B and the same number of columns as A. The product BA will be used to solve the given system of equations.
The product BA can be computed by multiplying each row of matrix B by each column of matrix A and summing the results. The resulting matrix will be:
Now, we can use the product BA to solve the system of equations:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
1 -1 2
2 3 1
0 4 2
We can rewrite this system of equations as:
-10x - 10y + 6z = 7,
3x - 8y + 2z = 3,
-6x - 16y + 15z = 17.
By comparing the coefficients of x, y, and z in the system of equations with the entries in the matrix BA, we can determine the values of x, y, and z.
Solving the system of equations using matrix BA, we get:
x = -1,
y = 2,
z = 1.
Therefore, the values of x, y, and z are -1, 2, and 1 respectively.
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The complete question is:
Given A=
⎣2 2 -4|
|-4 2 -4|
|2 -1 5|
, B=
⎣1 -1 0|
⎢2 3 4|
⎢0 1 2|
, find BA and use this to solve the system of equations y+2z=7, x−y=3, 2x+3y+4z=17.
309 × 29 the turtle head way
the answer of 309 x 29 is 8,961
Can someone pls help me ASAP!
Answer:
what type of math is it?
Step-by-step explanation:
Answer:
y=x-2
Step-by-step explanation:
the equation for slope intercept is y=mx+b, where m is the slope and b is the y intercept. The y intercept is -2, (where the line comes in contact with the x axis) and the slope is determined from the equation y2-y1/x2-x1 (rise over run) With this, we can see the slope is 1. hope this helps
27 similar cubes have a total volume of 3375 cm3. what is the edge of 1 cube?
The edge length of each cube, out of 27 similar cubes with a total volume of 3375 cm³, is 5 cm.
To find the edge length of one cube, we can divide the total volume of the cubes by the number of cubes.
Given:
Total volume of 27 cubes = 3375 cm³
We need to find the edge length of one cube.
Let's denote the edge length of one cube as "x."
The volume of a cube is calculated by taking the cube of its edge length:
Volume of one cube = x³
Since we have 27 cubes with the same edge length, the total volume is the sum of the volumes of all the cubes:
Total volume of 27 cubes = Volume of one cube × Number of cubes
3375 cm³ = x³ × 27
To solve for x, we divide both sides of the equation by 27:
3375 cm³ / 27 = x³
125 cm³ = x³
Taking the cube root of both sides gives us:
∛125 cm³ = ∛x³
5 cm = x
Therefore, the edge length of one cube is 5 cm.
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