Answer:
on solving LHS and RHS
we got
z = v- (9+x+y)
Help me out with this question!! 50 points
C
The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C
The correct answer is D) The first inequality should be s + h ≤ 1800.
The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.
The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.
Exercise 3. 3. 1. Write the system ,x1′=2x1−3tx2 sint, x2′=etx1 3x2 cost in the form.
x=p(t)x+f(t)
The system of equation for the given system in the form x = p(t)x + f(t) is equal to x = [-1 -3t] x + [sint]
[0 + 3]x + [cost]
System of equation is,
,x₁′=2x₁−3tx₂ + sint,
x₂′=(\(e^{t}\))x₁ 3x₂ + cost
System in the form x = p(t)x + f(t), first express it in matrix form,
x' = A(t)x + g(t)
where x = [x₁, x₂]ᵀ,
A(t) is a 2x2 matrix,
and g(t) is a column vector with entries sint and cost.
Using the given system, we have,
x₁′ = 2x₁ - 3tx₂ + sint
x₂′ = eᵗx₁ + 3x₂ + cost
Rewriting this in matrix form, we get,
\([x_{1}]^{'} = [2 -3t] \left[\begin{array}{ccc}x_{1}^{} \\x_{2}^{} \end{array}\right]\) + [sint]
\(\left[\begin{array}{ccc}x_{2}^{'} \end{array}\right]\) \(= \left[\begin{array}{ccc}e^{t} &3\end{array}\right]\)\(\left[\begin{array}{ccc}x_{1}^{} \\x_{2}^{} \end{array}\right]\)+ [cost]
Now, to write this in the form x = p(t)x + f(t),
we need to find a function P(t) such that A(t) = P(t) - P'(t),
where P'(t) is the derivative of P(t).
For A(t), we have,
A(t) = [2 -3t]
[eᵗ 3 ]
To find P(t), integrate the diagonal entries of A(t),
P(t) = [2 3t]
[eᵗ 3]
Then, compute P'(t) and subtract it from P(t) to get A(t),
P'(t) = [0 3]
[eᵗ 0]
A(t) = P(t) - P'(t)
= [2-3t -0 -3]
[eᵗ - eᵗ + 3 - 0]
Therefore, the system of equation x' = A(t)x + g(t) can be written as,
x = [-1 -3t] x + [sint]
[0 + 3]x + [cost] which is in the form x = p(t)x + f(t).
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The above question is incomplete, the complete question is:
Write the system ,x₁′=2x₁−3tx₂ + sint, x₂′=(e^t)x₁ 3x₂ + cost in the form.
x=p(t)x + f(t)
Please answer for number 20
Answer:
1/24
Step-by-step explanation:
20) 1/6 / 4 = 1/6 * 1/4 = 1/24
Answer:
\(\:\frac{1}{5}\div 2=\frac{1}{5}\cdot \:\frac{1}{2}=\frac{1}{10}\)
\(\:\frac{1}{6}\div \:4=\frac{1}{6}\cdot \frac{1}{4}=\frac{1}{24}\)
Step-by-step explanation:
Question 18
We know that the fraction rule is:
\(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)
Thus,
\(\:\frac{1}{5}\div 2=\frac{1}{5}\cdot \:\frac{1}{2}=\frac{1}{10}\)
Question 20
We know that the fraction rule is:
\(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)
Thus,
\(\:\frac{1}{6}\div \:4=\frac{1}{6}\cdot \frac{1}{4}=\frac{1}{24}\)
Jeff wants to purchase a wallet for $33. He currently has $18. By how much money will he be in debt if he decides to borrow the difference? (Write an equation to represent this problem)Required to answer. Single line text.
Answer:
18 - 33= -15
Step-by-step explanation:
18 is from how much he currently has
subtract 33 is how much he has to pay
-15 is how much money he is going to be in debt
Mark recorded the growth of a plant over 8 weeks. The equation y=0. 2x+2 represents the height y, in inches, after x weeks. How tall will the plant be after week 9?.
Answer:
3.8 inches
Step-by-step explanation:
y = 0.2x + 2 Substitute in 9 for x
y = 0.2(9) + 2
y = 1.8 + 2
y = 3.8
nearest ten thousand to 92,987
Answer:
90,000
Step-by-step explanation:
2,987<5,000, so round down.
Which equation represents a proportional relationship?
y = 5x + 2
y = 100 x
y = 16x2
y = 6x
Answer:
5x+2
Step-by-step explanation:
I think it is 5x+2
PLEASE ANSWER brainlest!
Evaluate the expression.14−{6+2[−1(8−12)]2^}
What is the value of the expression?
please explain step by step brainlest
Really appreciated :)))) (25 points) Reupload
Please help me I beg you I will give you credit plz
Find the missing angle
PLEASE HELP AND SHOW WORK!
Answer:60
Step-by-step explanation:
180-75-60=45
90-45=45
180-45-75=?
2 QUESTIONS !! GEOMERTY !! NEED HELP ASAP!!!
The triangle below is isosceles. Find the length of side
x to the nearest tenth.
Answer:
x=2.3
Step-by-step explanation:
Isosceles triangle means both sides are the same length, triangle is also right meaning you can plug values into Pythagorean theorem (\(a^2+b^2=c^2\))
\(x^2+x^2=\sqrt{11}^2 \\2x^2=11\\x=\sqrt{\frac{11}{2} } \\x=2.345...\\x=2.3\)
Assuming all my math is right, this is your answer
proper
LOGICAL REASONING In the diagram of the collinear points, PT = 20,
QS = 6, and PQ = QR = RS. Find each length.
23. QR
24. RS
25. PQ
26. ST
27. RP
28. RT
29. SP
30. QT
S
Your answer
Answer:
QR(3), RS(3), PQ(3), ST(11), RP(6), RT(14), SP(9), QT(17)
Step-by-step explanation:
The diagram is not shown, but we assume the points are in the sequence ...
P, Q, R, S, T
Since QR = RS, R is apparently the midpoint of QS, So ...
23. QR = 6/2 = 3
24. RS = QR = 3
25. PQ = QR = 3
26. ST = PT -PQ -QS = 20 -3 -6 = 11
27. RP = PQ +QR = 3 +3 = 6
28. RT = RS +ST = 3 +11 = 14
29. SP = PQ +QS = 3 +6 = 9
30. QT = QS +ST = 6 +11 = 17
Vibrations of harmonic motion can be represented in a vectorial form. Analyze the values of displacement, velocity, and acceleration if the amplitude, A=2+T, angular velocity, ω=4+U rad/s and time, t=1 s. The values of T and U depend on the respective 5th and 6th digits of your matric number. For example, if your matric number is AD201414, it gives the value of T=1 and U=4.
The values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.
We know that the amplitude, A = 2 + T; the angular velocity, ω = 4 + U rad/s; and time, t = 1s. Here, the value of T = 1 and the value of U = 4 (as mentioned in the question).
Harmonic motion is a motion that repeats itself after a certain period of time.
Harmonic motion is caused by the restoring force that is proportional to the displacement from equilibrium.
The three types of harmonic motions are as follows: Free harmonic motion: When an object is set to oscillate, and there is no external force acting on it, the motion is known as free harmonic motion.
Damped harmonic motion: When an external force is acting on a system, and that force opposes the system's motion, it is called damped harmonic motion.
Forced harmonic motion: When an external periodic force is applied to a system, it is known as forced harmonic motion.Vectorial formVibrations of harmonic motion can be represented in a vectorial form.
A simple harmonic motion is a projection of uniform circular motion in a straight line.
The displacement, velocity, and acceleration of a particle in simple harmonic motion are all vector quantities, and their magnitudes and directions can be determined using a coordinate system.
Let's now calculate the values of displacement, velocity, and acceleration.
Displacement, s = A sin (ωt)
Here, A = 2 + 1 = 3 (since T = 1)and, ω = 4 + 4 = 8 (since U = 4)
So, s = 3 sin (8 x 1) = 2.68 m (approx)
Velocity, v = Aω cos(ωt)
Here, v = 3 x 8 cos (8 x 1) = 2.24 m/s (approx)
Acceleration, a = -Aω2 sin(ωt)
Here, a = -3 x 82 sin(8 x 1) = -18.07 m/s2 (approx)
Thus, the values of displacement, velocity, and acceleration are 2.68 m, 2.24 m/s, and -18.07 m/s2 respectively.
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HELP PLEASE
On this document you will notice there are no sides lengths provided. However, the rooftop length AD is 300 ft, CD is 330 ft, AB is 210 ft; Based on the math you learned at the beginning of this unit you should be able to complete the table located on the “Rooftop Artist” document to prove you understand distance and midpoint given two points.
Answer:
Step-by-step explanation:
To find the distance between two points, you can use the distance formula:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
where (x1, y1) and (x2, y2) are the coordinates of the two points.
To find the midpoint between two points, you can use the midpoint formula:
[(x1 + x2)/2, (y1 + y2)/2]
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the given lengths, you should be able to find the coordinates of each point and then use the formulas above to fill out the table in the "Rooftop Artist" document.
What is the mean of the following distribution of scores: 2, 3, 7, 6, 1, 4, 9, 5, 8, 2?
-5
-4
-3.7
-4.7
Answer:
The mean of the following scores is the sum of the numbers divided by the amount of terms,
The set is equal to 47, divided by the amount of numbers (10) = 4.7
Answer = 4.7
como se puede usar la multiplicacion por 1 para encontrar fracciones equivalentes
Answer:
pamachino ala iscola iyo kapito binisimo bambena ilina
In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If his correct answers were 11, find his wrong answers. *
4 Wrong Answers
\(Correct = 11*4=44\)
\(Incorrect = Correct - 40 = 4\)
Isabel is buying framing to go around the perimeter of one of her paintings. Each inch of framing costs $0. 40. What is the total cost of the framing for the pantings
The total cost of the framing for the painting would be $13.20.
The length of the painting is 10.25 inches and the width is 6.25 inches. To find the total length of the framing needed to go around the perimeter of the painting, we need to add the length and width of the painting and then multiply by 2. This is because the framing is needed for both the length and the width of the painting.
10.25 inches + 6.25 inches = 16.50 inches of framing needed
Since we need to go around the perimeter of the painting we need to multiply the 16.50 inches of framing by 2 = 33 inches of framing.
Finally, we multiply the total inches of framing needed (33 inches) by the cost per inch of framing ($0.40/inch) to get the total cost:
33 inches x $0.40/inch = $13.20
So the total cost of the framing for the painting would be $13.20.
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Help Me On These 3 Please
Answer:
see explanation
Step-by-step explanation:
(1)
Using the sine ratio in the right triangle
sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{4}{6}\) , then
x = \(sin^{-1}\) (\(\frac{4}{6}\) ) ≈ 41.8° ( to the nearest tenth )
(2)
Using the tangent ratio in the right triangle
tan x = \(\frac{opposite}{adjacent}\) = \(\frac{29}{14}\) , then
x = \(tan^{-1}\) (\(\frac{29}{14}\) ) ≈ 64.2° ( to the nearest tenth )
(3)
Using the cosine ratio in the right triangle
cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{25}{40}\) , then
x = \(cos^{-1}\) (\(\frac{25}{40}\) ) ≈ 51.3° ( to the nearest tenth )
the coc admissions department wants to see how many students would be in favor of using a new program to register for classes. they put a link on their website so that any students that want to try out the program can. the students can then take a survey and say how well they like the new system. this is what method of collecting data was used: group of answer choices convenience census cluster systematic voluntary response simple random sample (srs) stratified
The method of collecting data that was used in the given scenario is voluntary response.
A voluntary response method of data collection is a research technique that allows participants to decide whether or not they want to be included in the sample.
When participants are allowed to choose whether or not to participate, this is known as self-selection.
This method has a disadvantage in that it could lead to bias in the data because those who respond to the survey may not represent the entire population of interest.
In the given scenario, the COC admissions department put a link on their website so that any students that want to try out the program can. The students can then take a survey and say how well they like the new system. This means that the method of collecting data that was used is voluntary response.
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The box that kite came in is a rectangular prism with dimensions of 20 1/2 inches by 9 1/2 inches by 2 inches
Pls help i will give brainly
Answer:
B. y = -1/4x + 2
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other. So slope is -1/4
Using m = -1/4, y =4, x = -8
y = mx + b
4 = -1/4(-8) + b
4 = 2 + b
b = 2
so y = -1/4x + 2
Information technology supports supply chain integration through information sharing and collaborative planning. workflow coordination. adoption of new methods and technologies. all of these answer choices are correct.
By leveraging information technology effectively, supply chain integration can be achieved, leading to improved collaboration, streamlined processes, reduced costs, and enhanced overall supply chain performance.
What is chain integration?A comprehensive corporate approach known as supply chain integration aims to improve communication and cooperation between all chain nodes.
All of the answer choices provided are correct. Information technology plays a crucial role in supporting supply chain integration by facilitating information sharing, collaborative planning, workflow coordination, and the adoption of new methods and technologies.
1. Information sharing: Information technology enables the exchange of data and information among different entities within the supply chain, such as suppliers, manufacturers, distributors, and retailers. This sharing of information helps improve visibility, transparency, and coordination among the various stakeholders.
2. Collaborative planning: Information technology tools and systems enable collaborative planning processes, where different participants in the supply chain can collaborate on forecasting, demand planning, inventory management, and production scheduling. This collaboration enhances efficiency, reduces costs, and improves overall supply chain performance.
3. Workflow coordination: Information technology facilitates the coordination of workflows and processes across different stages of the supply chain. It enables real-time tracking and monitoring of goods, enables efficient communication and coordination between different parties involved, and helps streamline and automate various supply chain activities.
4. Adoption of new methods and technologies: Information technology enables the adoption and implementation of new methods, strategies, and technologies within the supply chain. This includes the use of advanced analytics, cloud computing, Internet of Things (IoT), artificial intelligence (AI), and other digital solutions that enhance efficiency, visibility, and decision-making capabilities within the supply chain.
By leveraging information technology effectively, supply chain integration can be achieved, leading to improved collaboration, streamlined processes, reduced costs, and enhanced overall supply chain performance.
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How much is the distance of the point 5/12 from y-axis?
The distance of a point (x,y) from y-axis is the absolute value of the x-coordinate of the point. The distance of the point 5/12 from y-axis is 5/12.
To calculate the distance of the point 5/12 from y-axis, we can use the distance formula:
Distance = √(x2 – x1)2 + (y2 – y1)2
In the given problem, we assume the origin (0,0) as the point on the y-axis and the point (5/12, 0) as the given point. We need to calculate the distance between the two points.
Distance = √(x2 – x1)2 + (y2 – y1)2
Distance = √(5/12 – 0)2 + (0 – 0)2
Distance = √(5/12)2
Distance = 5/12
Therefore, the distance of the point 5/12 from y-axis is 5/12.
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A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface
The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.
The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.
Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.
Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.
To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.
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x=-2, y=3,1 = 2, then
Answer:
anyone answer yet
Step-by-step explanation:
I am wondering also
A researcher wants to compare the performance of three types of pain relievers in volunteers suffering from arthritis. Because people of different ages may suffer arthritis of varying degrees of severity, the subjects are split into two groups: under 60 and over 60. Subjects in each group are randomly assigned to take one of the medications. Twenty minutes later they rate their levels of pain. Which of the following is true about this study?
a.
.
It has two factors, medication and age.
B.
It has one factor (age) blocked by type of medication.
C.
It uses matched pairs.
D.
It is completely randomized.
E.
It has one factor (medication) blocked by age.
The following is true about the study: e. It has one factor (medication) blocked by age.
In statistics, when a factor (independent variable) is blocked by another factor, it means that the effect of the first factor is controlled or eliminated by the second factor.
In this case, the factor that is blocked is the medication, which means that the effect of medication on the outcome variable is controlled by age.
Blocking a factor is often done in experimental design to remove the effects of extraneous variables or to control the influence of certain factors on the outcome variable.
In this case, age is considered a blocking variable because it is not of interest in the study, but it may have an effect on the outcome variable. By blocking the effect of medication by age, the study can better isolate the effect of medication on the outcome variable.
In summary, the statement e. "It has one factor (medication) blocked by age" is correct which means that the study controlled for the effect of age on the outcome variable by blocking the effect of medication by age.
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Which equation would you use to find y?