The solution of system of linear equation x + 2y = 5 and 3x + 5y = 14 is,.
Answers
Answer:
// Solve equation [1] for variable x
[1] x = -2y + 5
// Plug this in for variable x in equation [2]
[2] 3•(-2y+5) + 5y = 14 [2] - y = -1
// Solve equation [2] for variable y
[2] y = 1
// Now we know this:
x = -2y+5 y = 1
// Use the y value to resolve x
x = -2(1) +5 = 3
Workaround:
{x,y} = {3,1}
Related Questions
Displayed to the right are two carts connected by a cord that passes over a small frictionless pulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be m1 and the angle the first cart sits on to be θ1, while the mass of the second cart as m2 and the angle it sits on to be θ2.
Answers
The acceleration is given by the tension in the rope and the component
of the component of the weight acting along the plane.
Response:
[tex]The \ expression \ for \ the \ acceleration, \ a \ is\ \underline{a = \dfrac{m_2 \cdot g \cdot sin \left(\theta_2 \right) - m_1 \cdot g \cdot sin \left(\theta_1 \right) }{m_1 + m_2}}[/tex]
How can the expression for the acceleration be derived?A possible question is the expression for the acceleration, a in terms of the mass, m₁, m₂, and the angles θ₁ and θ₂.
The drawing representing the situation, obtained from a similar question and created with MS Visio, is attached
From the drawing, we have;
By equilibrium of forces, the tension in the cable, T, is given as follows;
For the cart, m₁; T = m₁·a + m₁·g·sin(θ₁)
For the cart, m₂; T = m₂·g·sin(θ₂) - m₂·a
Where;
a = The acceleration that the two carts experience
Equating both values of T gives;
m₁·a + m₁·g·sin(θ₁) = m₂·g·sin(θ₂) - m₂·a
m₁·a + m₂·a = m₁·g·sin(θ₁) - m₂·g·sin(θ₂)
The
[tex]a = \mathbf{\dfrac{m_2 \cdot g \cdot sin \left(\theta_2 \right) - m_1 \cdot g \cdot sin \left(\theta_1 \right) }{m_1 + m_2}}[/tex]
The acceleration, a, that the two carts experience in terms of m₁, m₂, θ₁, θ₂,
is therefore;
[tex]a = \underline{\dfrac{m_2 \cdot g \cdot sin \left(\theta_2 \right) - m_1 \cdot g \cdot sin \left(\theta_1 \right) }{m_1 + m_2}}[/tex]Learn more about equilibrium of forces here:
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What examples of figurative language does frost use in "the road not taken"? how do these help shape the deeper meaning of the poem?.
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There are a lot of aspect to language. The examples of figurative language that Robert Frost uses are "the road" as kind of metaphor for a course not taken in life while the "yellow wood" stands for an autumn light.
When you see the first line, the narrator remember his fateful choice: "Two roads diverged in a yellow wood." "Two roads" are a metaphor for 2 options. What figurative language is used in The Road Not Taken?The Language used is Metaphor. Metaphor is said to be used in the entire poem and therefore serves as an extended metaphor.
Conclusively, The road in the poem is known to be a metaphor for human life and the path we have to take through it.
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Swedish scientist carl linnaeus is known for creating the first version of the modern taxonomy system in the 1700s. Which of the following is not a classification in the linnaean system of naming?.
Answers
The answer is D; Prokaryote
Which term is defined as a substance that cannot be broken down chemically into a simpler substance?.
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Initial-rate data at a certain temperature is given in the table for the reaction c2h5cl(g) ⟶ c2h4(g) + hcl(g) [c2h5cl]0 (m) initial rate (m/s) 0. 100 0. 630 x 10-30 0. 200 1. 26 x 10-30 0. 300 1. 89 x 10-30 determine the value and units of the rate constant.
Answers
The value of the rate constant is : 0.63 * 10⁻²⁹ s⁻¹ and The unit of the rate constant is : sec⁻¹
The chemical reaction :
C₂H₅Cl ------> C₂H₄(g) + HCl(g)
Determine the value and unit of the rate constant ( K )let the rate of reaction be expressed as
R = k [ C₂H₅Cl ]ⁿ ---- ( 1 )
where : n = order
k = rate constant
From the table
2 = 2ⁿ
therefore n = 1
Hence we can rewrite equation ( 1 ) as
R = k [ C₂H₅Cl ] ¹ ( first order reaction ) ---- ( 2 )
Next step : substitute the value of C₂H₅Cl and initial rate into equation 2
0.630 * 10⁻³⁰ = k ( 0.1 ) ¹ M
Therefore : K = 0.630 * 10⁻²⁹ s⁻¹
Hence we can conclude that The value of the rate constant is : 0.63 * 10⁻²⁹ s⁻¹ and The unit of the rate constant is : sec⁻¹.
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Borrower company borrowed $100,000 from bank a on august 1 of year 1. The annual interest rate on the loan is 12%. Borrower company will repay the entire loan, both principal and accrued interest, after one year on july 31 of year 2. So, borrower company will pay no cash to bank a between august 1 of year 1 and july 31 of year 2. Which one of the following is included in the single journal entry made when the principal and accrued interest are paid to bank a on july 31 of year 2?.
Answers
The single journal entry made when the principal and accrued interest are paid to bank a on july 31 of year 2 is: CREDIT to Interest Payable for $5,000.
Principal and accrued interestBased on the information given the journal entry to record the transactions for borrower company is:
Borrower company journal entry
Debit Interest expense $7000
(12%×$100,000×7/12)
Debit Interest payable $5000
(12%×$100,000×5/12)
Debit Note payable $100,000
Credit cash $112,000
($100,000+$7,000+$5,000)
(To record accrued interest)
Inconclusion the single journal entry made when the principal and accrued interest are paid to bank a on july 31 of year 2 is: CREDIT to Interest Payable for $5,000.
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The molar heat of vaporization of acetone, c3h6o, is 30. 3 kj/mol at its boiling point. How many kilojoules of heat would be liberated by the condensation of 5. 00 g of acetone?.
Answers
The kilojoules of heat that would be liberated by the condensation of 5. 00 g of acetone is 2.612 kJ.
What is the molar heat of vaporization?
The molar heat of vaporization is the amount of energy required to convert one mole of a chemical substance from the liquid to the gaseous phase provided that the temperature and pressure are constant.
From the given parameters:
The molar heat of vaporization = 30.3 kJ/molThe mass of acetone liberated = 5.00 gThe molar mass of acetone = 58 g/molTherefore, the amount of heat that would be liberated by the condensation of 5.00 g of acetone is:
[tex]\mathbf{ =\dfrac{ 5.00 g}{58 \ g/mol } \times 30.3 \ kJ/mol }[/tex]
= 2.612 kJ
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Kate cuts her foot while hiking. She forgot to pack bandages, but she has a tube of superglue and uses that to seal the wound. Kate’s ability to invent a solution uses the ________ intelligence component of the triarchic theory of intelligence.
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Kate used the Creative intelligence component of the triarchic theory of intelligence to seal her wound with super glue when she had no bandages
What is the Creative Intelligence of the triarchic theory of intelligence?According to Robert Sternberg who developed the triarchic theory of intelligence where he explained that intelligence comprises of three parts which includes:
The practical The creativeThe analyticalThe Creative is characterized by the ability to be inventive and create a a solution that solves a problem or situation.
Here, Kate using a Superglue where there was no bandage for her wound shows that she has Creative Intelligence .
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What is the meaning of life
Answers
Answer:
The meaning of life is to have fun
Explanation:
Answer:
to live and love
Explanation: hope this helps
Ashlyn needs to bring a dessert to her dinner party.
Answers
Answer:
cakes , homemade ice cream
Explanation:
she could make a homade ice cream that has different types of flavour and could also make some less sugar cakes
Consider a disk that rotates at 3600 rpm. The seek time to move the head between adjacent tracks is 2 ms. There are 32 sectors per track, which are stored in linear order from sector 0 through sector 31. The head sees the sectors in ascending order. Assume the read/write head is positioned at the start of sector 1 on track 8. There is a main memory buffer large enough to hold an entire track. Data is transferred between disk locations by reading from the source track into the main memory buffer and then writing the data from the buffer to the target track. A. How long will it take to transfer sector 1 on track 8 to sector 1 on track 9? b. How long will it take to transfer all the sectors of track 8 to the corresponding sectors of track 9?.
Answers
Answer:
19.71 ms
Explanation:
The disk rotates at 3600 rpm, hence the time for one revolution = 60 / 3600 rpm = 16.67 ms.
Hence time to read or write on a sector = time for one revolution / number of sectors per track = 16.67 ms / 32 sectors = 0.52 ms
Head movement time from track 8 to track 9 = seek time = 2 ms
rotation time to head up sector 1 on track 8 to sector 1 on track 9 = 16.67 * 31/32 = 16.15 ms
The total time = sector read time +head movement time + rotational delay + sector write time = 0.52 ms + 2 ms + 16.15 ms + 0.52 ms = 19.19 ms
What was the chemical purpose of heating the mnso4⋅h2o? why is this procedure important?.
Answers
The chemical purpose of heating the mnso4⋅h2o was to remove the water
present in it through dehydration.
What is Dehydration?Dehydration is defined as the loss of water mostly as a result of heating.
The water present usually evaporates and the compound/mixture dries up.
The procedure of heating was however important in order to get an stable
weight of the compound needed for the experiment and to
ensure the results gotten are very accurate.
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A factory manager selected a random sample of parts produced on an old assembly line and a random sample of parts produced on a new assembly line. The difference between the sample proportion of defective parts made on the old assembly line and the sample proportion of defective parts made on the new assembly line (old minus new) was 0. 6. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being the proportion of defective parts made on the old assembly line is greater than that of the new assembly line. The p-value of the test was 0. 18.
Answers
Considering the p-value of the test, it is found that there is not enough evidence to conclude that the proportion of defective parts made on the old assembly line is greater than that of the new assembly line.
What are the hypothesis tested?At the null hypothesis, it is tested that the proportion of defective parts made on the old assembly line is not greater than that of the new assembly line, that is:
[tex]H_0: p_O = p_N[/tex]
At the alternative hypothesis, it is tested if the proportion is greater, that is:
[tex]H_1: p_O > p_N[/tex]
What is the decision?The p-value is greater than the standard significance level of 0.05, hence we do not reject the null hypothesis, that is, there is not enough evidence to conclude that the proportion of defective parts made on the old assembly line is greater than that of the new assembly line.
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Which kind of reaction is more common on earth than the sun?.
Answers
Chemical reaction is the type of reaction which is more common on earth than the sun.
What is Chemical reaction?This is the process in which substances which are known as reactants combine to form something new (product).
This type of reaction is commonly found on Earth and examples of such reactions include the following
PhotosynthesisCombustionPrecipitation etc.Read more about Chemical reaction here https://brainly.com/question/11231920?source=archive
Classify each salt as acidic, basic, or neutral. Drag the appropriate items to their respective bins.
Answers
Answer:
do you happen to have a picture of it?
If neon has an atomic number of 10 and an atomic mass of 20, how many neutrons does it have?.
Answers
Answer:
10
Explanation:
(20) which is the atomic mass you subtract it from the mass number to get 10
Answer:
10
Explanation
Atomic number is the amount of protons, there is an equal amount of neutrons as protons. Atomic mass is about 1 (Dalton) for both a proton and neutron. Electrons are so tiny they barely affect atomic mass at all.
What does a model of the carbon cycle show?(1 point).
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Answer:
The carbon cycle is the biogeochemical cycle by which carbon is exchanged among the biosphere, pedosphere, geosphere, hydrosphere, and atmosphere of the Earth. Carbon is the main component of biological compounds as well as a major component of many minerals such as limestone. Along with the nitrogen cycle and the water cycle, the carbon cycle comprises a sequence of events that are key to make Earth capable of sustaining life. It describes the movement of carbon as it is recycled and reused throughout the biosphere, as well as long-term processes of carbon sequestration to and release from carbon sinks. Carbon sinks in the land and the ocean each currently take up about one-quarter of anthropogenic carbon emissions each year.
Explanation:
Hope this helps! :)
How has climate influenced the size of house sparrows?.
Answers
They have gradually become larger in colder parts of the country.
The equilibrium system between nitrogen gas, oxygen gas, and nitrogen dioxide gas is given. N2(g)+2o2(g)↽−−⇀ 2no2(g) write the balanced chemical equation for the reverse reaction. Include physical states for all species.
Answers
The balanced chemical equation for the reversed reaction is;
2NO2(g) ==> N2(g) + 2O2(g).Reverse ReactionThe given chemical equation in equilibrium is;
N2(g) + 2O2(g) ↽−−⇀2NO2(g).Hence, it follows that; the reversed reaction with indication of phase changes is as follows;
2NO2(g) ==> N2(g) + 2O2(g).Read more on reversed reaction;
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Which of the following scenarios are examples of job separation (i. E. , workers who quit or were laid off) as a result of creative destruction?.
Answers
The scenarios which are examples of job separation as a result of creative destruction include:
A company installs a new accounting system that does all the billing automatically, which subsequently shuts down the accounting department.Indeed.com provides an Internet-based job service; as a result, newspaper job offerings shrink and newspapers lay off workers.The book retailer Borders laid off 19,000 employees when it went bankrupt in 2011.What is job separation?Job separation can be defined as the termination (end) to an employee's working relationship with his or her employer due to certain factors and circumstances such as creative destruction.
What is creative destruction?Creative destruction refers to deliberate dismantling or termination of an employee's job position, in order to make way for innovation and improved methods of production.
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How much charge is needed in the electrolysis of molten cabr2 using a current of 30. 0 a for 10. 0 hours?.
Answers
The amount of charge is needed in the electrolysis of molten cabr2 is 1.08 * 10⁶ C
Charge
Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field.
Charge can either be positive or negative.
Charge (Q) is given by:
Q = It
where I is the current and t is the time.
I = 30 A, t = 10 hr = (10 * 60 * 60)s = 36000 s
Q = 30(36000) = 1.08 * 10⁶ C
The amount of charge is needed in the electrolysis of molten cabr2 is 1.08 * 10⁶ C
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What is bingham's main purpose in "the annexation of hawaii"?.
Answers
There is a purpose of the annexation. Bingham's main purpose in "the annexation of hawaii was due to the perceived threat of the Japanese invasion.
What was the main reason of Hawaiian annexation?The United States were said to needed Hawaii as a kind of platform which they could have a form of dominant Military presence in that part of the Pacific.
There was a call for U.S. Marines to protect the national interest of the United States of America. The insurgents lead to the Republic of Hawaii, been formed but their goal was the annexation of the islands to the United States, which took place in 1898.
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What is the difference between profit and revenue brainly.
Answers
Profit is the amount of income that remains after counting all additional debts and money fees.
Revenue is the total income generated by the sale of goods or items.
Hope this helps!
The concentration of ozone in ground-level air can be determined by allowing the gas to react with an aqueous solution of potassium iodide, ki, in a redox reaction that produces molecular iodine, molecular oxygen, and potassium hydroxide.
Answers
Answer:
a) 2KI + O₃ + H₂O ----> I₂ + O₂ + 2KOH
b) Ozone concentration = 0.246 ppb
Explanation:
Concentration of O₃ in air in ppb = 2.46/10 = 0.246 ppb
Keeping your core muscles strong will help prevent injuries question 1 options: true false.
Answers
While on exchange in chile richard purchased an electronic day-planner that was advertised as follows. Which of the following features is not mentioned in the ad? date reminder compatibility with other software programs two-year calendar accessible from any computer.
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Answer:
C is the answer, two-year calendar
Explanation:
When the text is translated into English the only feature that is not mentioned in the ad is the two-year calendar.
Answer:its ccccccccccccccccccccccccccc
Explanation:
The graph above represents which characteristic type of population growth?.
Answers
The type of population growth that the given graph represents is; Logistic
What are population Graphs?The given attached graph shows logistic growth because logistic growth is regarded as one whereby it's population per capita growth rate starts to reduce and continue in that same reduction as it's population size approaches a maximum.
Now, the maximum population size is usually imposed as a result of the limited resources that are in environment. The curve that is associated with this is S-shaped in curve which is the same as that in the question attached.
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Negative outcomes of optimism typically include: (check all that apply. ).
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Answer:
First off, well-being is defined as the overall evaluation a person makes regarding their life and emotional experiences. It's the combination of "feeling good" or positive affect, low levels of negative affect or negative feelings, and life satisfaction (a broad cognitive appraisal regarding one's life). A part of well-being is determined by the direct attempt that people make to influence their own well-being (their internal actions). 3 ways out of many that people can do this is through optimism, positive emotions, and forgiveness.
Is this statement true or false? artists since ancient times added decoration to functional objects people used in daily life.
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During aerobic respiration electrons travel in which sequence.
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Answer:
Glucose → NADH → electron transport chain → Oxygen
Explanation: