Answer:
smaller value = 4yd
larger value = 8yd
Step-by-step explanation:
Let's call the garden's width and length W and L respectively.
The area of the garden is 36yd². We can write this mathematically as W*L=36
If 26yd is enough fencing to perfectly enclose the garden, then this must be the garden's perimeter. Written mathematically, this is 2W+2L=26. We can simplify this by dividing each term by two to get W+L=13
If W and L multiply to get 36, they must be both a factor pair of 36. The factor pairs of 36 (the pairs of numbers which multiply to get 36) are '1 and 36', '2 and 18', '3 and 12', '4 and 9', and '6 and 6'.
W and L must also add to 13, and the only factor pairs of 36 which add to 13 are '4 and 9' so these are our dimensions.
Answer:
smaller value = 4yd
larger value = 8yd
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18.
Credit scores are made of _____.
credit history, payment history, debt ratio, and types of credit
creditworthiness
FICO
credit profile
Credit scores are made of credit history, payment history, debt ratio, and types of credit which is therefore denoted as option A.
What is a Credit score?This is referred to as a numerical expression based on a level analysis of a person's credit files, to represent the creditworthiness of an individual.
It is a prediction of how likely you are to pay a loan back on time based on information from your credit reports and has different components such as the credit history, payment history, debt ratio, etc.
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what is prepaid expense?
Answer:
Prepaid expenses are payments made in advance for goods or services that will be received or used in the future. These expenses are considered assets on a company's balance sheet because they provide future economic benefits. Examples of prepaid expenses include rent payments made in advance, insurance premiums, and prepaid service contracts. They are recorded as an asset on the company's balance sheet until the expense is incurred, at which point it is recognized as an expense on the income statement.
Step-by-step explanation:
Isaac made all these rectangles with 24cm lengths of string. This implies that the perimeter of all these rectangles are equal. What do you observe about the sun of the length and the width, give a reason for your answer?
Answer: Since the perimeter of all the rectangles is equal (24 cm), the sum of the length and width of each rectangle must be equal for each rectangle. This is because the perimeter of a rectangle is equal to the sum of its lengths plus the sum of its widths, multiplied by 2.
For example, if the length of one rectangle is "l" cm and its width is "w" cm, then its perimeter would be 2l + 2w = 24 cm.
So, in general, we can write the equation: l + w = P/2, where P is the perimeter of the rectangle (in this case, P = 24 cm).
Therefore, the sum of the length and width of each rectangle is equal and constant, regardless of the individual values of the length and width. This means that as the length of a rectangle increases, its width must decrease by an equal amount to keep the sum constant. And vice versa.
In conclusion, the sum of the length and width of each rectangle is equal, and it is equal to half of the perimeter of the rectangle.
Step-by-step explanation:
Some researchers want to compare meditation and exercise to see which is more effective for reducing
stress. They randomly selected 100 people who suffer from high stress to participate in the study. The
subjects will either be given a 10-week course in a meditation program or they will participate in a 10-
week exercise program. The researchers must decide how to assign the subjects to these programs.
One option would be random assignment of the subjects into the programs. Another option is to allow
each subject to choose a program.
Which of the following is the main advantage of randomly assigning subjects to one of the two
programs rather than allowing them to choose?
Answer:
This is not math...
Step-by-step explanation:
melinda is practicing her penalty kicks. She took 40 shots and only missed 8. Based on the data,how many kicks will she make if she takes 60 shots
Answer:
48 kicks
Step-by-step explanation:
If she shoots 40 times and misses 8, we can create a ratio to represent the number of total shots to the number of misses:
40/8 = 60/x X represents the amount she will miss if she takes 60 shots.
We can find the value of x by using cross multiplication:
480 = 40x. We can now isolate x by dividing both sides by 40:
X = 12.
Melinda will miss 12 out of 60 shots.
She will make 48 kicks.
In ΔEFG, e = 310 inches, m m∠G=89° and m m∠E=27°. Find the length of f, to the nearest 10th of an inch.
The length of f to the nearest 10th of an inch is 308.8 inches.
What is law of sines?A trigonometric rule known as the Law of Sines connects any triangle's sides and angles. It claims that for all three sides of a triangle, the ratio of the length of one side to the sine of the angle opposite that side is the same. To put it another way, we may write: If we have a triangle with sides a, b, and c, and opposing angles A, B, and C:
Sin(A) / a = b / a sin(B) / c / sin (C)
Using the Law of Sines we have:
f / sin(89°) = e / sin(27°)
f = sin(89°) * 310 / sin(27°)
f ≈ 308.8 inches
Hence, the length of f to the nearest 10th of an inch is 308.8 inches.
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Answer:
613.7 in
Step-by-step explanation:
You want the length of side f in ∆EFG with e = 310 in, E = 27°, G = 89°.
Law of sinesThe law of sines tells you ...
f/sin(F) = e/sin(E)
Angle F is the third angle in the triangle, so its measure is ...
F = 180° - 89° -27° = 64°
Then the length of f is ...
f = e·sin(F)/sin(E) = (310 in)·sin(64°)/sin(27°) ≈ 613.7 in
The length of f is about 613.7 inches.
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i cant figure out the second number
what is the least common denominator for 5/18, 11/12, and 6/13
Answer:
LCD → 468
Step-by-step explanation:
[tex]\frac{5}{18} = \frac{5}{18} * \frac{26}{26} = \frac{130}{468}[/tex]
[tex]\frac{11}{12} = \frac{11}{12} * \frac{39}{39} = \frac{429}{468}[/tex]
[tex]\frac{6}{13} = \frac{6}{13} * \frac{36}{36} = \frac{219}{468}[/tex]
Hence, the least common denominator for these three fractions would be 468.
another way to find 4x2x5
Another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.
What is multiplication?Multiplication is when you take one number and add it together a number of times. Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".
Given are three numbers multiplied, 4x2x5, we need to find the another way to solve it,
So,
4x2x5 = 40
So, in another method,
Multiply 4 and 2, we get, 8 as product, now multiply the product 8 to the last number 5,
8x5 = 40
Hence, the another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.
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The question is incomplete solved for:
Find the another method to solve 4x2x5
Solve the equation for all real solutions in simplest form.
2q² +11q+13= 0
Let A, B, and C be events relative to the sample space S. Using Venndiagrams, shade the areas representing events:
a.) (A∩B)′
b.) (A∪B)′
c.) (A∩C)∪B
If A, B and C be events relative to the sample space S, then the Venn diagram of the representing event has been plotted
Let A, B and C be events relative to the sample space S.
The sample space is the set of all possible outcomes of the experiment.
The Venn diagram is the pictorial representation of the sample space of the experiment by using the circles and the overlapping of the circles.
Here we have to plot the each representing events using the Venn diagram representation
Part a
The event is (A ∩ B)'
Plot the Venn diagram
Part b
The event is (A ∪ B)'
Plot Venn diagram
Part c
The event is (A ∩ C) ∪ B
Plot the Venn diagram
Therefore, the Venn diagram of the each event has been plotted
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If FD = 45 units and DE = 60 units , what is the value of a? round the solution to the nearest hundredth
For the given triangle, the value of 'a' would be 41.41 degrees.
What is cosine angle?
In mathematics, the cosine of an angle is a trigonometric function that relates the ratio of the adjacent side of a right triangle to the hypotenuse.
More formally, the cosine of an angle is defined as the ratio of the length of the adjacent side of a right triangle to the length of the hypotenuse. It is denoted by the symbol cos and is calculated using the following formula:
cos(theta) = adjacent side / hypotenuse
where theta is the measure of the angle in radians or degrees.
By using the cosine definition,
cosθ = adjacent side/Hypotenuse
cos(a) = 45/50
[tex]a = cos^{-1}(\frac{45}{60})[/tex]
a = 41.41°
Hence, for the given triangle, the value of 'a' would be 41.41 degrees.
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Provide evidence of how you manage your staff to manage complain
One way to manage your staff to manage complaints would be to establish clear procedures for handling complaints and regularly train staff on these procedures.
How to manage staff complaints ?Establishing clear procedures for handling complaints and training staff helps to ensure that all complaints are handled consistently and effectively, reducing the potential for misunderstandings or conflicts to arise.
Additionally, creating an open-door policy for staff to voice their concerns and providing regular opportunities for feedback can help to identify and address issues before they escalate into complaints. Regular communication and coaching can also help to build strong working relationships and foster a positive workplace culture, reducing the likelihood of complaints in the first place.
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Given that [tex]\frac{|z - 5i|}{|z + 5i|} = 1[/tex] , show that z lies on the x-axis.
The proof that z lies on the x-axis is shown below
How to show that z lies on the x-axis.For z to lie on the x-axis, then the coordinate must be represented as (x, 0)
Given that
[tex]\frac{|z - 5i|}{|z + 5i|} = 1[/tex]
We start by simplifying the given expression using the definition of the modulus of a complex number:
So, we have
[tex]\frac{|z - 5i|}{|z + 5i|} = \frac{\sqrt{(x - 0)^2 + (y - 5)^2}}{\sqrt{(x - 0)^2 + (y + 5)^2}} = 1[/tex]
Where
z = x + yi or z = (x, y)
Squaring both sides of the equation above, we obtain:
[tex]\frac{(x - 0)^2 + (y - 5)^2}{(x - 0)^2 + (y + 5)^2} = 1[/tex]
This gives
[tex]\frac{x^2 + (y - 5)^2}{x^2 + (y + 5)^2} = 1[/tex]
By comparison, we have
[tex](y + 5)^2 = (y - 5)^2[/tex]
Set y = 0 to test the equation
So, we have
[tex](0 + 5)^2 = (0 - 5)^2[/tex]
25 = 25 --- true
The equation is true for y = 0
This means that
z = (x, 0)
Hence, z lies on the x-axis
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PLEASE HURRY I REALLY NEED HELP WITH THIS PROBLEM
5. Suppose a poll is to be conducted in an elementary school by interviewing 50 students. Explain whether or not the following samples are representative of the students at the school. a. The first 50 students leaving the cafeteria. b. Fifty randomly chosen names from a computer-generated list of names of all students at the school. c. Ten students randomly chosen from each of the 5 areas of campus. d. Five students from 10 teachers' classes.
If a poll is to be conducted in an elementary school by interviewing 50 students, the following samples have been described as either representative or not representative as follows:
a. The first 50 students leaving the cafeteria. Not representative
b. Fifty randomly chosen names from a computer-generated list of names of all students at the school. Representative
c. Ten students randomly chosen from each of the 5 areas of campus. Representative
d. Five students from 10 teachers' classes. Representative
What is a representative sample?A representative sample is a small collection from a larger group from which any information obtained will be as good as the larger group. While choosing a representative sample, the researcher should take care not to zone the participants from a given section of the population. This will cause the information to be skewed and not objective.
Selecting 50 students leaving a cafeteria will not be representative because this might only represent a section of the school that will be giving their response based on a certain mood.
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find the unknown terms in the sequence: 1 3/4, 1 9/16, 1 3/8, 1 3/16, A, B, C, 7/16, 1/4
The 5th , 6th and 7th term of the arithmetic sequence is 1 , 13/16 and 10/16 respectively
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the first term of the AP be a₁ = 1 3/4
Let the second term of the AP be a₂ = 1 9/16
So , the common difference of AP d = a₂ - a₁
On simplifying the equation , we get
The common difference d = 1 9/16 - 1 3/4 = ( 25/16 - 7/4 )
The common difference d = - ( 3/16 )
And , the nth term of the AP is a + (n - 1) d
So , the 5th term of the AP = ( 1 3/4 ) + ( 4 ) ( -3/16 )
On simplifying the equation , we get
The 5th term of the AP = ( 7/4 ) + ( -3/4 )
The 5th term of the AP = 4/4 = 1
Therefore , the value of A = 1
And , the 6th term of the AP = ( 1 3/4 ) + ( 5 ) ( -3/16 )
On simplifying the equation , we get
The 6th term of the AP = ( 7/4 ) + ( -15/16 )
The 6th term of the AP = 13/16
Therefore , the value of B = 13/16
And , the 7th term of the AP = ( 1 3/4 ) + ( 6 ) ( -3/16 )
On simplifying the equation , we get
The 7th term of the AP = ( 7/4 ) + ( -18/16 )
The 7th term of the AP = 10/16
Therefore , the value of C = 10/16
Hence , the arithmetic progression is solved
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Determine the more basic function that has been shifted, reflected, stretched, or compressed q(x) = -1/x + 1
The more basic function that has been shifted, reflected, stretched, or compressed to create q(x) = -1/x + 1 is the function f(x) = 1/x.
What do you understand by the team function?The transformation applied to f(x) to obtain q(x) is divided into several steps:
Reflection: The negative sign in front of 1/x reflects the graph of f(x) across the x-axis, causing the y-values to change sign.
Vertical shift: Adding "+1" to -1/x raises the graph of f(x) by one unit.
Horizontal shift: Although there is no explicit horizontal shift in q(x), we can see that the graph of q(x) has a vertical asymptote at x=0, whereas the graph of f(x) does not. This means that the graph of q(x) has been shifted to the right by one unit.
The more basic function that has been shifted, reflected, stretched, or compressed to create q(x) = -1/x + 1 is the function f(x) = 1/x.
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Consider event A and event B. What is the probability that event B occurs, given that event A has already occurred?
P(BNA)
P(A)-P(B)
OA
O B.
O C.
O D.
P(BNA)
P(A)
P(BOA)
P(B)
P(BUA)
P(5)
P(B A)=P(B)
Step-by-step explanation:Given situation that two events occurred event A and event B event A has already occurredtherefore, there is no relationship between them event A and event B since, the probability of B does not depend on any activity of A therefore, P(B A)=P(B)
The probability that event B occurs, given that event A has already occurred is P(A) = P(A ∩ B) / P(B | A).
What is an Event?An event is the outcome of a chance experiment or a collection of similar outcomes.
As the sample space is a collection of all potential outcomes of a random experiment, it might be defined as every subset of that space.
When the event B is dependent on event A,
P(A ∩ B) ≠ P(A) x P(B)
When the event A comes before event B. So, the probability of B given A:
P(B | A) = P(A ∩ B) / P(A)
P(A) = P(A ∩ B) / P(B | A)
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As part of a school project students will be randomly sampling from the students in the class. The assignment is to estimate the proportion of students who play on a sports team. Each student will randomly select 7 students. One student found out that 2 of the 7 play a sport. The teacher has collected data from all students and found that out of the 31 students in the class 20 of them played sports.
On solving the provided question, we can say that percentage terms is 41.93%
What is percentage?A percentage in mathematics is a figure or ratiο that is stated as a fraction of 100. The abbreviatiοns "pct.," "pct," and "pc" are also occasionally used. It is frequently denοted using the percent symbol "%," though. The amount of percentages has nο dimensions. With a denominator of 100, percentages are basically fractiοns.
To show that a number is a percentage, place a percent symbol (%) next tο it. For instance, if yοu correctly answer 75 out of 100 questions on a test (75/100), yοu receive a 75%. To cοmpute percentages, divide the amount by the tοtal and multiply the result by 100. The percentage is calculated using the fοrmula (value/total) x 100%.
total no. of students = 31
no. of students play sports = 13
percentage terms = 13/31 × 100= 41.93%
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Blake needs a wooden dowel that is 2 1/6 feet
long. How much should he cut off the dowel
shown below?
-5 1/4 ft
Blake needs a wooden dowel that is 2 1/6 feet long. Blake needs to cut off 7.4167 feet from the dowel.
What are arithmatic operations?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
To find out how much Blake should cut off the dowel, we need to subtract the length of the dowel from the required length.
The length of the dowel is -5 1/4 feet, which can be written as -5.25 feet.
The required length is 2 1/6 feet, which can be written as 2.1667 feet (rounded to four decimal places).
To find out how much needs to be cut off, we can subtract the length of the dowel from the required length:
2.1667 ft - (-5.25 ft) = 7.4167 ft
Therefore, Blake needs to cut off 7.4167 feet from the dowel.
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Please help I dont understand how to get the length of segment DF
the measure of the angle will be 70°.
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.An isosceles triangle in geometry is one with at least two sides that are of equal length. Both having exactly two sides of equal length and having at least two sides of equal length are acceptable specifications, with the latter version containing the equilateral triangle as an exception.
The sum of all angle of triangle = 180
The given triangle two angles are given 44° and 68°
The other angle is 180° - (44+68) = 180 - 110 = 70°
Hence the measure of the angle will be 70°.
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A curve is defined by the implicit equation X³ + X²Y + 4Y² = 6.
Find the value of day/dx when X = 1 and when Y = 1.
Find the value of day/dx when X = 1 and when Y = 1. I would like to answer correct but Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.
A grocer bought 100 pounds of mushrooms at 79¢ per pound. Experience
indicates that, as a result of aging, 40% of the mushrooms are sold at cost and
another 20% are discarded. Find the original marked price that will produce a
25% markup on cost.
The original markup price that will lead to a markup on cost of 25 % would be $ 1. 68 per pound
How to find the marked price ?To find the marked up price, first, find the amount that is a 25 % markup on cost to be :
= ( 100 pounds x 79 cents per pound ) x ( 1 + 25 %)
= 79 x 1. 25
= $ 98. 75
The 40 % sold would bring in:
= 40 % x 100 x 0. 79
= $ 31. 60
The amount left to be raised is:
= 98. 75 - 31. 60
= $ 67. 15
The markup price on the rest of the mushrooms is:
= 67.15 / ( 100 - 40 % - 20 %)
= $ 1. 68 per pound
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PLEASE HELP!!! 4 questions
The value of x from the given triangle is approximately 19.10.
What is triangle?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
We can use the Pythagorean theorem to find the value of x. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be represented as follows:
c² = a²+ b²
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
In this problem, c = 25, and we need to find the value of x which is the length of one of the other two sides. Let's call the other side y. Then, we can write the equation as follows:
25² = x² + y²
We are also given that the angle between x and y is 41 degrees. We can use trigonometry to find the value of y. The sine function gives us the ratio of the opposite side to the hypotenuse, so we can write:
sin(41) = y/25
Therefore, y = 25 * sin(41). Now that we have the values of x and y, we can substitute them in the equation derived from the Pythagorean theorem:
25² = x² + (25 * sin(41))²
Solving for x, we get:
x = √(25²- (25 * sin(41))²)
Using a calculator, we get that sin(41) = 0.661437827766148.
Now, we can substitute this value in the equation:
x = √(25² - (25 * sin(41))²)
x = √(25² - (25 * 0.661437827766148)²)
x = √(25² - (16.0359050108801)²)
x = √(625 - 256.132749101278)
x = √(368.867250898722)
x = 19.10
Hence, The value of x is approximately 19.10
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O REAL NUMBERS
Signed fraction multiplication: Basic
Multiply.
(-9) (-7/3)
Write your answer in simplest form.
Answer:
21
Step-by-step explanation:
(-9)([tex]-\frac{7}{3}[/tex]) = 63/3 = 21
In the coordinate plane, rhombus LMNO has vertices L(– 4,1), M(0,4), N(5,4), and O(1,1), and rhombus WXYZ has vertices W(– 9,– 1), X(– 1,– 7), Y(9,– 7), and Z(1,– 1). Select the sequence of transformations that can be applied to LMNO to show that it is similar to WXYZ.
On solving the provided question, we can say that Area of Rhombus is 24 cm²
What is Rhοmbus?A rhombus is an equal-sided quadrilateral in Euclidean plane geοmetry. The term "equilateral triangle" alsο refers to a quadrilateral whose sides are of the same length. A parallelοgram has a unique variation knοwn as a rhombus. In a rhombus, the οpposite sides and angles are parallel and equal.
A rhombus's diagοnal is split in half by a right angle, and each of its sides is the same length. Rhombic diamοnds and diamonds are other names for rhοmbuses. The length οf every side is the same. Diagοnals are equal in a rhοmbus. At a 90° angle, parallel lines split in half, 180 degrees is the sum of adjacent angles.
By distance formula
BD = [tex]\sqrt{(-2-4)^2 + (-1-5)^2}[/tex]
BD = [tex]\sqrt{36 + 36}[/tex]
BD = 6√2
similarly,
AC = 4√2
and, Area = 1/2 × (product of diagonals)
Area of Rhombus = 1/2 × 6√2 × 4√2 = 24 cm²
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Use a graphing utility to graph the cost and revenue functions in the same viewing window. Find the sales x necessary to break even (R = C) and the corresponding revenue R obtained by selling x units. (Round to the nearest whole unit.)
Cost Revenue
C = 7.8 √x + 22,000 R = 13.82x
The revenue corresponding to break even condition for selling x units is $4.28.
What is a cost function?An evaluation of the model's accuracy in estimating the link between X and y is done using a cost function. In most cases, this is represented as a difference or distance between the projected value and the actual value. The price element (you may also see this referred to as loss or error.)
To break even (R = C) we have:
7.8 √x + 22,000 = 13.82x
Substitute the value of x = u² thus:
7.8u +22000 = 13.8u²
13.8u² - 7.8u - 22000 = 0
The quadratic formula is given as:
u = -b ± √b² - 4ac / 2a
u = -(-7.8) ± √(-7.8)²- (4)(13.82)(22000) / 2(13.82)
u = 7.8 ± 7.8 / 27.64
u = 7.8 + 7.8 / 27.64
u = 0.56
Back substituting the value of u:
x = u²
x = (0.56)²
x = 0.31
Substituting the value of x is R:
R = 13.82 (0.31)
R = 4.28
Hence, the revenue corresponding to break even condition for selling x units is $4.28.
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Please help question below
The equation for option 1 is y = 3.5x + 7.5 and option 2 is y = 5.5x. Option 1 will be the least expensive. The solution has been obtained by using the slope-intercept form.
What is slope-intercept form?
The graph of the equation y = mx + b is represented by a line with a slope of m and a y-intercept of b. The slope-intercept representation of the linear equation is employed, and the values of m and b are real numbers.
We are given two options.
Using slope-intercept form, we get the equations as
Option 1
It requires monthly fee of $7.50 which means this is the y-intercept and $3.50 per game which means this is the slope.
So, the equation is y = 3.5x + 7.5
Option 2
Slope = (33 - 16.5)/ (6 - 3)
Slope = 16.5/ 3
Slope = 5.5
The y-intercept for this is 0.
So, we get the equation as y = 5.5x.
Fee for renting 5 games
As per option 1: y = 3.5(5) + 7.5 = $25
As per option 2: y = 5.5(5) = $27.5
Hence, option 1 will be the least expensive.
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What is the correct answer answer asap for brainlist
Based on the information provided, the passage that explains the citation is "The outcome...is situational irony..." (option A).
What does explaining a citation mean?When you cite information from other sources or authors, there are three elements that should be included:
Introduction: Introduce your citation, for example by saying "Twain claimed that..."Citation: Here you add the words of the author or you paraphrase them.Explanation: This step requires connecting the citation to your text by explaining its meaning.Learn more about citation in https://brainly.com/question/30066031
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Please help. Find the output, y When the input, x, is -7.
The output value of y when input value x is -7: -6
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check given expression is a function or not we can check it by a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
A graph of a function,
And input value x = -7
output value y = ?
As it can be seen in the graph,
For input value x = 0
output value of y = -2
Similarly,
for input value x = -7
It can be seen in the graph that
the value of y = -6
Hence, the value of y is -6
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