Answer:
l9-7l is the answer
Step-by-step explanation:
Answer:
I and j I believe
Step-by-step explanation:
Please help !!!!!!!!!!!
Answer:
98°+62°+6x = 180
160+6x = 180
6x = 180 - 160
6x = 20
x= 20/6
x= 3.33
therefor your answer is 3.33
5) Build mathematical model of the transportation problem: Entry elements of table are costs. Destination B2 B3 B4 28 A1 27 27 32 A2 15 21 20 A3 16 22 18 b 26 8 Source 3 BI 14 10 21 323324 12 13
This problem is an example of a balanced transportation problem since the total supply of goods is equal to the total demand.
The transportation problem is a well-known linear programming problem in which commodities are shipped from sources to destinations at the minimum possible cost. The initial step in formulating a mathematical model for the transportation problem is to identify the sources, destinations, and the quantities transported.
The objective of the transportation problem is to minimize the total cost of transporting the goods. The mathematical model of the transportation problem is:
Let there be m sources (i = 1, 2, …, m) and n destinations (j = 1, 2, …, n). Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
The transportation problem can then be formulated as follows:
Minimize Z = ∑∑cijxij
Subject to the constraints:
∑xij = si, i = 1, 2, …, m
∑xij = dj, j = 1, 2, …, n
xij ≥ 0
where si and dj are the supply and demand of goods at the i-th source and the j-th destination respectively.
Using the given table, we can formulate the transportation problem as follows:
Let A1, A2, and A3 be the sources, and B2, B3, and B4 be the destinations. Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
Minimize Z = 27x11 + 27x12 + 32x13 + 15x21 + 21x22 + 20x23 + 16x31 + 22x32 + 18x33
Subject to the constraints:
x11 + x12 + x13 = 3
x21 + x22 + x23 = 14
x31 + x32 + x33 = 10
x11 + x21 + x31 = 21
x12 + x22 + x32 = 32
x13 + x23 + x33 = 26
xij ≥ 0
In this way, we can construct a mathematical model of the transportation problem using the given table. The model can be solved using the simplex method to obtain the optimal solution.
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The total cost for skating at the Frenchtown Roller Rink depends on the number of hours a person skates. The roller rink charges a $5 entrance fee and a $3 hourly rate for roller skating. Part B: How much would it cost to skate for 4 hours at the Frenchtown Roller Rink? Use the equation you selected & solve Part B question in the show your work space below.
Answer:
$17
Step-by-step explanation:
initial cost + hourly rate (number of hours)
$5 + $3 x 4
$5 + $12
= $17
What value of k will make the expressions equivalent?
A. -42
B. -34
C. 16
D. 114
Answer a
Step-by-step explanation:
Anyone help meee ?? Plsss
Answer:
5x - 4Step-by-step explanation:
= 8x - 4 - 3x = 8x - 3x - 4
= 5x - 4
Composition rational Feb 19, 7:37:30 PM Find the composition g(f(x)) given that f(x)=(1)/(x+3) and g(x)=x^(2)
The composition of the two given rational functions is another rational function, \(g(f(x)) = 1/((x+3)^2)\).
The composition of two functions, f(x) and g(x), is denoted as g(f(x)) and is defined as the function that results from applying g(x) to the output of f(x). In other words, the composition of two functions is the function that results from plugging one function into another function.
To find the composition \(g(f(x))\), we need to substitute the expression for \(f(x)\) into the expression for \(g(x)\) wherever we see an "x".
Given that \(f(x)=(1)/(x+3)\) and \(g(x)=x^2\), the composition \(g(f(x))\) can be found as follows:
\(g(f(x)) = g((1)/(x+3)) = ((1)/(x+3))^(2) = (1^(2))/((x+3)^(2)) = 1/((x+3)^(2))\)
Therefore, the composition \(g(f(x)) = 1/((x+3)^2)\).
In conclusion, the composition of the two given rational functions is another rational function, \(g(f(x)) = 1/((x+3)^2)\).
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Sandra wants to buy some t-shirts online that cost $14 each, and the shipping cost is $23. She has $65 to spend.
How many t-shirts did Sandra purchase?
(this is two-step equation math)
Answer:3
Step-by-step explanation: it’s exactly 3
Sandra purchased three t-shirts
65-23=42
42/3=14
what is the Common factor of 20 and 12
Answer:
The common factors of 12 and 20 are 1, 2 and 4.
Ed buys a vase for £24 and adds 25% onto the price before putting it in his shop.What price does the price tag say in the window.
To determine the price tag in the window, we need to calculate the 25% increase on the original price of £24.
To find the increase, we multiply the original price by 25% (or 0.25):
Increase = £24 * 0.25 = £6
Then, we add the increase to the original price:
Price with increase = £24 + £6 = £30
Therefore, the price tag in the window would show £30.
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A system of equations is graphed on the coordinate plane.
y = 1/2+2
y = x + 1
What is the solution to the system of equations?
Answer:
y=2.5, x=1.5
Step-by-step explanation:
y=1/2+2 ---(1)
y=x+1 ---(2)
y=1/2+2=2.5
Substitute y=2.5 into equation (2)
y=x+1
2.5=x+1
2.5-1=x
x=1.5
dgsdgdgsdgdsgsdsgsgs
Is this a question??????
:(
(1 point) evaluate the line integral ∫cf⋅d r where f=⟨−4sinx,5cosy,10xz⟩ and c is the path given by r(t)=(t3,t2,−2t) for 0≤t≤1
We are given a path c, and a vector field f. The path c is defined by r(t) = (t³, t², -2t) for 0 ≤ t ≤ 1. The vector field f = (-4sin x, 5cos y, 10xz). We are required to evaluate the line integral ∫cf ⋅ dr using the given information.To evaluate the line integral, we use the following formula:∫cf ⋅ dr = ∫abf(r(t)) ⋅ r'(t) dt.
Here, we can see that r(t) is already in vector form, so we don't need to convert it. We just need to find r'(t).Differentiating r(t) with respect to t, we get:r'(t) = (3t², 2t, -2)Substituting the given values of f and r'(t), we get:∫cf ⋅ dr = ∫₀¹ (-4sin t³, 5cos t², -20t³) ⋅ (3t², 2t, -2) dt= ∫₀¹ (-12t⁴ sin t³ + 10t cos t² - 20t⁴) dt= (-3t⁴ cos t³ + 5t³ sin t² - 5t⁵) from 0 to 1= -3 cos 1 + 5 sin 1 - 5The final answer is -3 cos 1 + 5 sin 1 - 5.
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Sam and Bruno were deciding how long it would take them to travel 37.7 miles on their bikes traveling at a speed of 14.5 miles/hour. How many hours would it take them? 2.6 546.7 0.385 23.2
Answer:
The answer is 2 1/8 I just made a 100% have a great day
Step-by-step explanation:Hope it helped (:
The time it will take them to finish the journey is 2.6 hours
What is speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.
It is measured in meter/sec(SI unit). it can also be measured in other units.
Speed is expressed as;
speed = distance /time
distance = 37.7 miles
speed = 14.5 miles per hour
time = distance /speed
= 37.7/14.5
= 2.6 hours.
Therefore it will take them 2.6 hours to finish the journey.
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how many 135 lbs to kg
As 1 pound equals 0.453592 kg, then 135 lbs is (135×0.453592) = 61.235 kg, in unit of measurement.
What is unit of measurement?A quantity's relationship to other quantities of the same kind is determined by the magnitude of that quantity, which has been predetermined, recognised by law, and frequently employed. Any extra quantity of that type can be expressed as a multiple of the measurement unit.
Length is an illustration of a physical quantity. The word "metre," which starts with the letter "M," is a measurement that denotes a specific, predetermined length. When the term "10 metres" is used, it refers to a length that is 10 times the precise, predetermined length known as "metre" (or 10 m).
From ancient times to the present, human endeavour has depended on the definition, acceptance, and practical application of units of measurement.
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Multiply negative 1 over 6 multiplied by negative 1 over 5
-1/6 x -1/5
Convert fractions
1 x 5
6 x 5
-5/30
1 x 6
5 x 6
-6/30
-5/30x-6/30
1/30(Used a calculator to multiply)
hope it helps!
This exercise only contains parts \( b, c, d, e, f \), and \( g \).
b) The cycle time for the production of a chair = minutes (round your response to two decimal places). c) The theoretical minimum n
This exercise only contains parts b, c, d, e, f, and g. The cycle time for the production of a chair = minutes (round your response to two decimal places).
To calculate the cycle time, we need to calculate the theoretical minimum cycle time, which is given as:$$n \times t$$where,$n =$ number of workstations$t =$ time taken at each workstation (in minutes)
To calculate the theoretical minimum $n,$ we need to first calculate the total time required to produce one chair.
The table below shows the task times and precedence diagram for the assembly of one chair.
Task Task time (in minutes)Precedence DiagramA 4-BC-D-E-F-G-H-I-J-K-L-M4-BC-D-E-F-G-H-I-J-K-L-MB 1-FC 3-GD 3-HE 1-IF 2-JG 1-KH 2-LI 3-M
Therefore, the total time required to produce one chair is given by the sum of all task times as follows:
$$T = 4 + 1 + 3 + 3 + 1 + 2 + 1 + 2 + 3$$$$T = 20$$
Hence, the theoretical minimum cycle time is:$$n = \frac{T}{t} = \frac{20}{1.5} = 13.33$$
Therefore, the cycle time for the production of a chair is 1.51 minutes (rounded to two decimal places).
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The volumes of different-sized jewelry boxes are given by the function V(x)=4x(x+3), where x represents the base widths of the boxes, in centimeters. What is the volume of a box with a base width of 5 centimeters, represented by V(5)?
The volume of a box with a base width of 5 centimeters, represented by V(5) is 160 cubic centimeters.
The function given to calculate the volume of different sized jewelry boxes is V(x) = 4x(x + 3) in cubic centimeters where x is the base width of the box.
Hence, if x = 5 cm, the volume of the box can be calculated by substituting this value in the function. This is represented as V(5).
Hence, the volume of the box with a base width of 5 centimeters, represented by V(5) is given as follows:
V(5) = 4(5)(5 + 3) cubic centimeters
= 4(5)(8) cubic centimeters
= 160 cubic centimeters.
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Part B: Fill out the Problem-Solving boxes to talk yourself through the problem.
Two mountain bikers leave from the same parking lot and head in opposite directions on two different trials. The first rider goes 8km due East, then rides due south for 15km. The second rider goes 8km due West, then changes direction and rides 20 degrees west due North for 15km. (See the picture below.) Both riders have been traveling for 23km, but when they stopped, which one was further away from the parking lot?
Understand & Think (1 point): What is being asked in the problem? What do I know and what does it mean? What plan am I going to try?
Do/Answer (2 points): I will write out my response to the question, explaining my answer and what it means. I will explain why my answer makes sense.
Explanation of my answer why it makes sense:
PLEASE HELP AND TRY NOT TO MAKE IT SOUND SO COMPLICATED… THANKS AND MUCH APPRECIATED!!!
The first rider the displacement is, 17 km.
And the 2nd river the displacement is 20.22 km.
What is right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.
It is asked in this problem is who's displacement is greater (not distance) it means that the shortest distance of starting and ending point with direction from start and end.
Here we have two triangle with two arm know for both.
So we have to find the 3rd arm for both triangle.
Now we have for a right triangle
a^2 + b^2 = c^2
For other triangle we know the cosine law of triangle is,
a^2 + b^2 - 2ab cosθ = c^2
θ is the opposite angle of c
For the first rider the displacement is,
c = \(c = \sqrt{a^2 + b^2} = \sqrt{8^2 + 15^2} = 17 km\\\)
For the 2nd river the displacement is
\(c = \sqrt{a^2-b^2 -2abcosheta}\), θ = 120°
\(c = \sqrt{8^2 + 15^2 - 2ab cos(120)} \\c = \sqrt{289 - 240cos(120)} \\c = \sqrt{289 - (-120)} \\c = \sqrt{289 + 120}\\ c = \sqrt{409} \\c = 20.22km\)
Hence, the first rider the displacement is, 17 km.
And the 2nd river the displacement is 20.22 km.
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Range of g(x)=3 square root of x
The range of the function g(x) is given as follows:
[0, ∞).
How to obtain the domain and range of a function?The domain of a function is obtained as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is obtained as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:
[0, ∞).
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What is the first step when evaluating the expression 8 + 6 – 4 ÷ 4 + 2?
Answer:
Step-by-step explanation:
Do the division first:
8 + 6 – 4 ÷ 4 + 2
= 8 + 6 - 1 +2
= 15.
Does the sum of -21 and 12 equal 0?
solve 2x+4>16 please
Answer:
10
Step-by-step explanation:
Which of the following is equal to the fraction below?
(7/11)^11
Need help ASAP please
Answer:
63.75
Step-by-step explanation:
Answer:
21.25
Step-by-step explanation:
1/4 = 0.25 or 25%
because 0.25 is less than one, dividing will acually be mutiplying. So we have to mutiply to divide. 8*0.25 = 21.25.
answer is 21.25
I am in need of some help :(It looks so simple yet I don't get how to do it. Can anyone help explain?(picture of question attached)source: Pearson/Savvas Realize
x = 14
Explanation:height = x
base 1 = 98
base 2 = 2
Using altitude formula in geometric mean:
base 1/height = height/base 2
98/x = x/2
\(\begin{gathered} \frac{98}{x}=\frac{x}{2} \\ \text{cross multiply:} \\ 2(98)\text{ = x}\times x \end{gathered}\)\(\begin{gathered} 196=x^2 \\ \text{square root both sides:} \\ \sqrt[]{196}\text{ = }\sqrt[]{x^2} \\ x\text{ = }\sqrt[]{196} \\ x\text{ = 14} \end{gathered}\)determine the number of years it will take to recoup the extra cost of buying the prius. format as a number to 2 decimal places.
It will take 5 years to recoup the extra cost of buying the Prius.
The number of years it will take to recoup the extra cost of buying the Prius will depend on several factors such as the price of the car, the cost of gas, and the average number of miles driven per year. However, according to a study by Consumer Reports, the Prius has an average payback period of about 4 years compared to a similar gas-powered vehicle. This means that if the extra cost of buying the Prius is $4,000, for example, it would take about 4 years to recoup that cost through fuel savings. Keep in mind that this is just an estimate and individual results may vary.
To determine the number of years it will take to recoup the extra cost of buying the Prius, follow these steps:
1. Identify the extra cost of buying the Prius compared to a similar non-hybrid vehicle.
2. Determine the annual fuel cost savings of the Prius compared to the non-hybrid vehicle.
3. Divide the extra cost by the annual fuel cost savings.
For example, let's say the extra cost of buying the Prius is $5,000 and the annual fuel cost savings is $1,000.
Number of years to recoup extra cost = Extra cost / Annual fuel cost savings
Number of years = $5,000 / $1,000
Number of years = 5.00
So, it will take 5.00 years to recoup the extra cost of buying the Prius.
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A car drives with a constant speed of 56 km/h. How far can it travel in 1 hour?
Answer:
56 kilometers
Step-by-step explanation:
The answer is in the question it travels 56 km/h this means every one hour the car goes 56 km
Answer:
56km
Step-by-step explanation:
I got 56km because the car drives at a constant speed of 56 km/h. So, in one hour the car can travel 56km.
Therefore, the car can travel 56km in 1 hour.
you want to determine what uniform color shirt is the most preferred among 7th grade students. You survey 6 random students in your art class. 4 choose red, so you conlude that red us the preferred color of shirt. is your conclusion valid. explain.
The conclusion that red is the preferred color of shirt among 7th grade students based on a survey of 6 random students in an art class is not necessarily valid due to the small sample size, sampling bias, and lack of generalizability.
How to determine if the conclusion is valid.The sample size of six pupils is tiny and may not be typical of the overall seventh-grade population. It's probable that the six students in the art class have different preferences or biases than the other seventh-grade students.
Also, the sample of six pupils is drawn at random from an art class rather than from the total 7th grade population. Students who are interested in art may have different preferences than students who are not. This can add bias into the sample.
Finally, the language of the survey question is critical. If the survey question specifically asks about the most chosen color of shirt among 7th grade kids in general, the conclusion that red is the most preferred color of shirt follows.
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considerastandard normal random variable z. what is the value ofzif the area to the right ofzis 0.2643?
To determine the value of the standard normal random variable z for which the area to the right of z is 0.2643, we can use the standard normal distribution table or a statistical software.
The value of z corresponding to an area to the right of z can be obtained by subtracting the given area from 1 since the area to the right is complementary to the area to the left. Therefore, the area to the left of z would be 1 - 0.2643 = 0.7357.
By referring to the standard normal distribution table or using a statistical software, we can find the z-value associated with an area of 0.7357. In this case, the z-value is approximately 0.611, indicating that the value of z for which the area to the right is 0.2643 is approximately 0.611.
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Use what you know about triangles to find the measure of the third angle.
Angle A= 23º, B= 86º, C= x
x=?
73º
71º
69º
67º
Answer:
B, 71
Step-by-step explanation:
Triangles have 180 total degrees. 180 - (23+86) gives 71.