The inequality used to represent this situation is 6x + 343 ≥ 637
Inequality is an expression that shows the non equal comparison of two or more numbers or variables.
Let x represent the number of set of glasses. If each set on sale contains 6 glasses, the inequality used to represent this situation is:
6x + 343 ≥ 637
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Answer:
s ≥ 49
Step-by-step explanation:
would the following method produce a random sample of a school population of 1000 students? answer yes or no. all students with last names beginning with the letter m.
Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.
A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.
By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.
To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.
This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.
Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.
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Help me, please! It's for math hw
cuál es el producto de 45.37 y 26.8
Answer:
uál es el pr
Step-by-step explanation:
PLEASE HELP FOR 35 POINTS!
The relationship between the number of grams of carbohydrates in a loaf of bread and the number of calories the loaf
contains can be modeled by the equation y = 15x – 25, where x is the number of grams of carbohydrates, and y is
the number of calories. According to the model, which statements are correct? Select all that apply.
A. For every 1.0 gram increase in carbohydrates, the number of calories increases by about 25.0.
B. For every 2.0 gram decrease in carbohydrates, the number of calories decreases by about 30.0.
C. For every 3.5 gram decrease in carbohydrates, the number of calories decreases by about 87.5.
D. For every 7.5 gram increase in carbohydrates, the number of calories increases by about 112.5.
E. For every 10.0 gram increase in carbohydrates, the number of calories increases by about 15.0.
Answer: It would be b B. For every 2.0 gram decrease in carbohydrates, the number of calories decreases by about 30.0.
Step-by-step explanation:
Simplify the expression: 63(13−18)+24÷6
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
63 (13 - 18) + 24 ÷ 6\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \sf63 ( 13 - 18 ) + 24 \div 6\)
Subtract 18 from 13 to get -5.
\( \sf \: 63\left(-5\right)+\frac{24}{6} \\ \)
Multiply 63 and -5 to get -315.
\( \sf-315+\frac{24}{6} \\ \)
Divide 24 by 6 to get 4.
\( \sf-315+4 \)
Add -315 and 4 to get -311.
\( \boxed {\boxed{ \boxed{ \mathfrak{-311 }}}}\)
Hey there!
63 (13 - 18) + 24 ÷ 6
= 63 × -5 + 4
= -315 + 4
= -311
Hope it helps ya!
square root of 110 to the nearest hundredth
Answer: 10.48808848. so it would be 10.49
Step-by-step explanation:
Answer:
10.49
Step-by-step explanation:
110 square rooted is 10.4880885 but when you round at the nearest hundreth you get 10.49
hope this helps!
Jamie's track practice is 90 minutes long. 20% of the time is spent jumping hurdles. How many minutes does Jamie spend jumping hurdles?
Answer:
Step-by-step explanation:
90 x 0.2 (Because you have to transform the percent into a decimal, move the decimal place twice to the right)
Answer: 18 Minutes
What substance has a mass of 148g and a volume of 40cm3 ?
The substance that has a mass of 148g and a volume of 40cm³ is 3.7g/cm³
In order to get the substance that has a mass of 148g and a volume of 40cm³, we need to first get the density of the substance.
Density is the ratio of mass per unit volume of a substance
Density = Mass/Volume
Given the following:
Mass = 148g
Volume = 40cm³
Density = 148/40
Density = 3.7g/cm³
Hence the density of the substance is 3.7g/cm³
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How much is 113 pounds in kilograms?
51.2 kilos are equivalent to 113 pounds. Given that 1 pound is equivalent to 0.45 kilogram , multiplying 113 pounds by 0.45 results in 51.2 kilogram.
0.45 kilogram equal one pound.
113 pounds are equal to 51.2 kilos (113 divided by 0.45)
51.3 kilos are equal to 113 pounds. Pounds to kilogrammes conversion is a rather simple operation. To convert 113 pounds to kilogrammes, multiply 113 by 0.45359237 since one pound is equivalent to 0.45359237 kilogrammes. You will receive 51.3 kg as the response from this. It's crucial to keep in mind that 1 pound is equivalent to 0.45359237 kilogrammes when converting between pounds and kilogrammes. Given that the metric system is more frequently employed in international contexts, this conversion is particularly helpful when dealing with weight measures in various parts of the world. As a result, if you know an object's weight in pounds, you may quickly and easily convert it to the metric system by multiplying its weight by 0.45359237.
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The graph represents the distribution of the lengths of play times, in minutes, for songs played by a radio station over one hour.
A graph shows the horizontal axis numbered 2.6 to x. The vertical axis is unnumbered. The graph shows an upward trend from 2.8 to 3.4 then a downward trend from 3.4 to 4.
Which statement is true about the songs played during the one-hour interval?
Most of the songs were between 3 minutes and 3.8 minutes long.
Most of the songs were 3.4 minutes long.
Most of the songs were less than 3.2 minutes long.
Most of the songs were more than 3.6 minutes long.
The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.
Based on the given information from the graph, we can determine the following:
The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.
Then, there is a downward trend from 3.4 to 4 on the horizontal axis.
From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.
Therefore, the correct statement is:
Most of the songs were between 3 minutes and 3.8 minutes long.
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Answer:
A
Step-by-step explanation:
Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4?
A) y- 3/4 = 1/3 (x - 4)
B) y- 1/3 = 3/4 (x - 4)
C) y- 1/3 = 4(x - 3/4)
D) y- 4 = 3/4(x - 1/3)
The SI unit for pressure is pascal (Pa). One hectopascal would equal how many pascals?
Answer:
100 pascals would be your answer
have a great day ! ⭐️
Study the information provided below and answer the questions that follow. The aggregate demand for a South African lawnmower brand across the outlets of a popular retailer was 3 200 units per quarter during the 2020 financial year. The retailer incurred a fixed cost of R150 per order and annual holding costs per lawnmower of R5. In general, the lawnmowers are delivered to the retailer 3 days after orders are placed. Assume a 300working day for the 2020 financial year. REQUIRED: Using the information provided above, answer the following questions: 4.1 Determine the economic order quantity of the lawnmowers for the 2020 financial year. (5 marks) Calculate the number of orders placed for the lawnmower by the retailer during the 2020 financial (3 marks) year. (4 marks) Calculate the re-order point (in units) of the lawnmower at the retailer during the 2020 financial year. 4.2 4.3 4.4 4.5 Calculate the total holding costs of the lawnmowers by the retailers during the 2020 financial year. (4 marks) Calculate the total ordering costs of the lawnmowers by the Game store during the 2020 financial (4 marks) year.
The Economic Order Quantity (EOQ) is calculated to be 547.72 units. The number of orders placed per year is 5.84, and the reorder point (ROP) is 32.01.
The total holding cost of lawnmowers is R1369.30, and the total ordering cost of lawnmowers is R876.00. These calculations provide valuable insights for efficient inventory management.
The Economic Order Quantity (EOQ) can be calculated by using the formula: EOQ = √2DS / H,
where D = Total Demand = 3200 units,
S = Ordering cost per order = R150,
and H = Annual holding cost per unit = R5.
Therefore, EOQ = √ (2 x 3200 x 150) / 5 = 547.72 units.
4.2 Number of orders placed per year: No of orders per year = D / Q,
where D = Total Demand = 3200 units and Q = EOQ = 547.72 units.
Therefore, No of orders per year = D / Q = 3200 / 547.72 = 5.84 orders.
4.4 Total holding cost of lawnmowers:
Total holding cost of lawnmowers = (Average inventory level) x (Annual holding cost per unit),
where (Average inventory level) = EOQ / 2 = 547.72 / 2 = 273.86 units and Annual holding cost per unit = R5.
Thus, the Total holding cost of lawnmowers = 273.86 x R5 = R1369.30.
4.1 Reorder Point (ROP): ROP can be calculated by using the formula:
ROP = dL, where d = Daily demand = D / Number of working days
= 3200 / 300 = 10.67 and L = Lead time = 3 days.
Hence, ROP = dL = 10.67 x 3 = 32.01.
4.5 Total ordering cost of lawnmowers:
Total ordering cost of lawnmowers = (Number of orders placed per year) x (Ordering cost per order),
where (Number of orders placed per year) = 5.84 orders and Ordering cost per order = R150.
Therefore, the Total ordering cost of lawnmowers = 5.84 x R150 = R876.00.
The Economic Order Quantity (EOQ) is calculated to be 547.72 units.
The number of orders placed per year is 5.84, and the reorder point (ROP) is 32.01.
The total holding cost of lawnmowers is R1369.30, and the total ordering cost of lawnmowers is R876.00.
These calculations provide valuable insights for efficient inventory management.
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A freeway has a capacity of 4000 vph. The normal flow rate on the freeway is 3000 vph. An incident blocks the freeway for 5 min. After 5 min, the freeway is opened to full traffic flow. Approximately how long does it take to dissipate the queue that resulted from the blockage? (4pts)
It will take 20 minutes to dissipate the queue that resulted from blockage if
the freeway has the capacity of 4000 vph.
Mean service rate(M) = 4000vph
Mean arrival rate(λ) = 3000vph
Block time duration of queue (r) = 5min
Time taken to dissipate the queue = t
t = (M * r)/(M-λ)
Substitute the given values
t = (4000*5)/(4000-3000)
t = 20000/1000
t = 20minutes.
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Identify the highlighted part of circle O shown below
Central angle
Secant
Inscribed angle
Chord
Answer:
Chord
Step-by-step explanation:
Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.
Which of the following combinations of side lengths would NOT form a triangle with vertices X, Y, and Z?
A.
XY = 7 mm , YZ = 14 mm , XZ = 25 mm
B.
XY = 11 mm , YZ = 18 mm , XZ = 21 mm
C.
XY = 11 mm , YZ = 14 mm , XZ = 21 mm
D.
XY = 7 mm , YZ = 14 mm , XZ = 17 mm
The combinations of side lengths that would NOT form a triangle with vertices X, Y, and Z is 7 mm , YZ = 14 mm , XZ = 25 mm.
option A.
What are the possible lengths of triangle?
The lengths of triangle are determined base a given set of rules;
let a, b, and c be the side lengths of a triangle;
Based on the rules of side lengths of triangles, the sum of length a and b must be greater than c, or the sum of a and c must be greater than b or the sum of b and c must be greater than a.
For option A;
7 mm + 14 mm < 25 mm (this cannot be)
For option B;
11 mm + 18 mm > 21 mm (this will work)
For option C;
11 mm + 14 mm > 21 mm (this will work)
For option D;
7 mm + 14 mm > 17 mm (this will work)
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please solve :( i can’t figure it out whatsoever
Answer:
a) see attached
b) 15015 meters
Step-by-step explanation:
You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.
Voltage and current lawsThe relevant circuit relations are ...
Kirchoff's voltage law: the sum of voltages around a loop is zeroKirchoff's current law: the sum of currents into a node is zeroOhm's law: voltage is the product of current and resistanceSeries: elements in series have the same currentParallel: elements in parallel have the same voltageVoltageGiven current and resistance for element 1, we immediately know its voltage is ...
V = IR = (4)(10) = 40 . . . . volts
Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.
Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...
90 -(40 +30) = 20
CurrentThe current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.
That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...
4 - 1 = 3 . . . . amperes
ResistanceThe resistance of each element is the ratio of voltage to current:
R = V/I
Dividing the V column by the I column gives the values in the R column.
Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.
PowerPower is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.
Note that the power supplied by the source T is the sum of the powers in the load elements.
b) WavelengthWe found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...
(90 W)×(222 Hz/W) = 19980 Hz
Then the wavelength is ...
λ = c/f
λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle
The wavelength of the broadcast is about 15015 meters.
__
Additional comment
The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."
Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).
Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.
As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).
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A group of 328 people consists of men ,women, and children. There are five times as many men than children and twice as many women then children. How many women are there
Step-by-step explanation:
Ultimately we know:
Men = * 5
Women = * 2
Children =
We can already make the estimation that the amount of children will be below 50. So by trial and error you will get to your answer by substituting with 41.
Children - 41
Women - 41 x 2 = 82
Men - 41 x 5 = 205
205 + 41 + 82 = 328
So your answer is 41
Between the assumption of theory X and Y which one would you consider the more reasonable and productive in Nigerian organization and why? Discuss fully with appropriate examples possibly from your personal experience. (5 Marks) b)Give a comprehensive critique of bureaucracy and state categorically with convincing reasons whatever you would (or would not) subscribe to upholding its principles in Nigerian Federal institutions.( 5 Marks) c) ).Management has evolved over time,True or False?Either way, give a brief lecture to your staff on the evolution of Mangement Thought.
a) Theory Y is more reasonable and productive in Nigerian organizations as it promotes employee empowerment, motivation, and creativity. b) Bureaucracy in Nigerian federal institutions has limitations including inefficiency, lack of accountability, and stifling of innovation. c) True, management has evolved over time with different schools of thought such as scientific management, human relations, and contingency theory.
a) In the Nigerian context, I would consider Theory Y to be more reasonable and productive in organizations. Theory X assumes that employees inherently dislike work, are lazy, and need to be controlled and closely supervised. On the other hand, Theory Y assumes that employees are self-motivated, enjoy their work, and can be trusted to take responsibility. In Nigerian organizations, embracing Theory Y can foster a positive work culture, enhance employee engagement, and promote productivity.
Nigeria has a diverse and dynamic workforce, and adopting Theory Y principles can help organizations tap into the talents and potential of their employees. For example, giving employees autonomy, encouraging participation in decision-making processes, and providing opportunities for growth and development can lead to higher job satisfaction and improved performance. When employees feel trusted and valued, they are more likely to be proactive, innovative, and contribute their best to the organization.
In my personal experience, I have witnessed the benefits of embracing Theory Y in Nigerian organizations. For instance, I worked in a technology startup where the management believed in empowering employees and fostering a collaborative work environment. This approach resulted in a high level of employee motivation, creativity, and a strong sense of ownership. Employees were given the freedom to explore new ideas, make decisions, and contribute to the company's growth. As a result, the organization achieved significant milestones and enjoyed a positive reputation in the industry.
b) Bureaucracy, characterized by rigid hierarchical structures, standardized procedures, and a focus on rules and regulations, has both strengths and weaknesses. In the Nigerian context, a comprehensive critique of bureaucracy reveals its limitations in the efficient functioning of federal institutions.
One of the major criticisms of bureaucracy in Nigeria is its tendency to be slow, bureaucratic red tape, and excessive layers of decision-making, resulting in delays and inefficiencies. This can hinder responsiveness, agility, and effective service delivery, especially in government institutions where timely decisions and actions are crucial.
Moreover, the impersonal nature of bureaucracy can contribute to a lack of accountability and a breeding ground for corruption. The strict adherence to rules and procedures may create loopholes that can be exploited by individuals seeking personal gains, leading to corruption and unethical practices.
Furthermore, the hierarchical structure of bureaucracy may stifle innovation, creativity, and employee empowerment. Decision-making authority is concentrated at the top, limiting the involvement of lower-level employees who may have valuable insights and ideas. This hierarchical structure can discourage employees from taking initiatives and hinder organizational adaptability in a fast-paced and dynamic environment.
Given these limitations, I would not fully subscribe to upholding the principles of bureaucracy in Nigerian federal institutions. Instead, there should be efforts to streamline processes, reduce bureaucratic bottlenecks, foster accountability, and promote a more flexible and agile organizational culture. This can be achieved through the implementation of performance-based systems, decentralization of decision-making authority, and creating avenues for employee engagement and innovation.
c) True, management has indeed evolved over time. The field of management has continuously evolved in response to changing business environments, societal demands, and advancements in technology. This evolution can be traced through various management thought schools.
1. Scientific Management: This approach, pioneered by Frederick Taylor in the early 20th century, focused on optimizing work processes and improving efficiency through time and motion studies. It emphasized standardization and specialization.
In summary, management has evolved over time to encompass a broader understanding of organizational dynamics, human behavior, and the need for adaptability. This evolution reflects the recognition of the complexities of managing in a rapidly changing world and the importance of embracing new approaches and ideas to achieve organizational success.
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4. From the top of a tower 14m high, the angle of depression of a student is 32° Make a scale drawing and find the distance of the student from the foot of the tower to the nearest 1/2
The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.
Given that From the top of a tower 14m high
The angle of depression of a student is 32°
we can use trigonometry to find the distance from the foot of the tower to the student:
tan(32°) = opposite/adjacent = 14/distance
Rearranging this equation gives:
distance = 14/tan(32°)
= 25.63m
Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.
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consider four rats in a cage. each rat alternates between periods of eating and periods of not eating. the eating period lasts an exponentially distributed amount of time with mean half an hour, and the noneating period lasts an exponentially distributed amount of time with mean three hours. assuming the rats act independently of one another, what proportion of time are none of the rats eating? (hint: this is more difficult than it appears. think carefully about the transition rates.)
The proportion of time that none of the rats are eating is approximately 0.0416% or 0.000416. To solve this problem, we need to consider the transition rates between the eating and non-eating periods for each of the four rats, taking into account that they act independently.
1. First, calculate the transition rates for each rat.
- Eating period: Mean duration is 0.5 hours, so the rate is λ1 = 1/0.5 = 2 per hour.
- Non-eating period: Mean duration is 3 hours, so the rate is λ2 = 1/3 ≈ 0.33 per hour.
2. Next, determine the transition probabilities for each rat.
- The probability of a rat eating (P_eating) = λ1 / (λ1 + λ2) = 2 / (2 + 0.33) ≈ 0.857.
- The probability of a rat not eating (P_not_eating) = λ2 / (λ1 + λ2) = 0.33 / (2 + 0.33) ≈ 0.143.
3. Since the rats act independently, calculate the probability of all four rats not eating simultaneously.
- P_all_not_eating = P_not_eating ^ 4 ≈ (0.143) ^ 4 ≈ 0.000416.
So, the proportion of time that none of the rats are eating is approximately 0.0416% or 0.000416.
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I need help what is -3x+9 ≥-3
Answer:
The value must be less than or equal to 4
Step-by-step explanation:
I input the equation into my graphing calculator
Answer: x≤4
Step-by-step explanation: Step 1: −3x+9−9≥−3−9= −3x≥−12 Step 2: divide −3x by −3 which cancels out and only leaves x then divide -12 by -3 and your answer is x≤4
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
Situation 1 matches to equation 2
Situation 2 matches to equation 3
Situation 3 matches to equation 1
Answer:
1 goes with 2
2 goes with 3
3 goes with 1
Step-by-step explanation:
look at the first :
1 adult so
$4+ 5 children=16 total
so 5 children=2.4
matches with the 2nd one on the r8 side
--------------------------------------
look the the second :
5x=4x+16
5x-4x=16
here the x is the money cost for each bike bag
profit+cost=sold price
Solve for a
– 4( – 2.3a + 5.58) ≥9.81 + 11.3a
Write your answer with a first, followed by an inequality symbol.
Answer:
Step-by-step explanation:
\(-4(-2.3a+5.58)\geq 9.81 +11.3a\\9.2a -22.32 \geq 9.81 + 11.3a\\9.2a-11.3a \geq 9.81 + 22.32\\-2.1a \geq 32.13 \\a\leq \frac{-32.13}{2.1}\)
Please help! I will mark as brainliest IF answer is right. <3
Answer:
answer in integer form. f(x) =7x 4f(3)=
7(3)-4 f(3) = 21 - 4 f (3)= 17.
Ben is saving money in his senior trip to Europe. On the first day, he put in $10 and plans to add five more dollars each day, Write an explicit formula that can be used to find the amount of money saved on any given day.
Answer:
5xn+5
Step-by-step explanation:
if you times 5 by n amount of days you will get how much he would have on that day but you need to add 5 as he added 10 on the first day
hope that helps
(if that doesn't work try 5xn+10)
how do you use data from certain columns of an existing table to populate a new table with a matching structure?
To populate a new table with data from an existing table, you can use an INSERT INTO statement.
This statement allows you to select specific columns from the existing table and insert them into the new table. For example, if you want to copy only the "Name" and "Age" columns from the existing table, you could use the following statement:
INSERT INTO newTable (Name, Age)
SELECT Name, Age
FROM existingTable;
This statement will take the data from the "Name" and "Age" columns in the existing table, and insert it into the same columns in the new table. You can also use calculations to populate the new table. For example, if you wanted to populate a new table with the difference between the "Age" columns in both tables, you could use the following statement:
INSERT INTO newTable (Difference)
SELECT (Age1 - Age2)
FROM existingTable;
This statement will take the "Age1" and "Age2" columns from the existing table and subtract them, then insert the result into the "Difference" column in the new table.
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a fence is to be built to enclose a rectangular area of 210 square feet. the fence along three sides is to be made of material that costs 4 dollars per foot, and the material for the fourth side costs 12 dollars per foot. find the dimensions of the enclosure that is most economical to construct.
The dimensions of the enclosure that is most economical to construct is 20.5 feet and 10.24 feet.
We know that Area, \(A = L \times B = 210 \, sq.ft\)
\(B = \frac{210}{L}\)
Perimeter \(P = 2L+ 2B\)
Since, it has to most economical so the $15 per ft material will be used for breadth side as it is shorter than length
\(Cost = (2 \times 5 \times L) + (B \times 5) + (B \times 15) = 10L + 20B\)
replace B with \(\frac{210}{L}\)
\(cost = 10L + 20 (\frac{210}{L}) = 10L + 4200 (\frac{1}{L})\)
differentiate on both side with L and equate to zero to find the L at which minimum cost occurs
cost be C
\(\frac{\mathrm{d} C}{\mathrm{d} L} = 10 - \frac{4200}{L^2}=0\)
\(L = \sqrt{420} \approx 20.5 \, ft\)
\(B = \frac{210}{20.5} \approx 10.24 ft\)
\(cost = 10 * 20.5 + 20 * 10.24 = \$409.8\)
\(\text{Length} = 20.5 \,ft\)
\(\text{breadth} = 10.24ft\)
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Write a linear equation in slope intercept form with the given information: m = 3/2 and b = 5.
Consider the following 8 numbers, where one labelled
x
is unknown.
34
,
42
,
38
,
x
,
4
,
25
,
3
,
13
Given that the range of the numbers is 55, work out 2 values of
x
.
The values of x that will give a range of 55 include 42 and -13.
What is range?A range simply means the difference between the highest number that is given and the lowest number that is given.
In this case, the chose numbers include:.
Larger number = 42
Smaller number = -13
Range = Larger number - Small number
= 42 - (-13)
= 42 + 13
= 55
The range of 55 is gotten.
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The two possible values of x given the range are -13 and 58.
What are the possible values of x?Range is used to measure the variation of a dataset. Range is the difference between the highest number in the dataset and the lowest number in the dataset.
Range = highest number - lowest number
x can either be the largest number in the dataset or the smallest number in the dataset.
Value of x if it is the smallest value in the dataset.
42 - x = 55
x = 42 - 55
x = -13
Value of x if it is the largest value in the dataset.
x - 3 = 55
x = 55 + 3
x = 58
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