The explicit description of null A by listing vectors that span the null space.
[tex]\left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]
What is the Matrix Vector?
We are given the matrix vector;
[1 3 5 0]
[0 1 4 -2]
Now, let's find the general Ax = 0 solution for the free variables. Thus;
[A, 0] =
[1 3 5 0]
[0 1 4 -2]
Thus;
R₁ → R₁ - 3R₂
⇒ [1 0 -7 6 0]
[0 1 4 -2 0]
The general solution is:
x₁ = 7x₃ - 6x₄
x₂ = -4x₃ + 2x₄
x₃ and x₄ are free variables
x = [tex]\left[\begin{array}{ccc}x_{1} &&&x_{2} \\x_{3} \\x_{4} \end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] + x_{4} \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]
Thus, Null A is;
[tex]\left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]
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Which policy did the "nursemaids" use to keep the "baby" quiet?
Discrete mathematics with applications 5th edition answers
An example of Discrete mathematics with applications 5th edition are Is there a real number whose square is –1?
Fill in the blanks using a variable or variables to rewrite the given statement.
a. Is there a real number x such that _____?
What is Discrete mathematics about?This is known to be some math questions that covers the areas of linear functions, exponential functions, etc., that are often made to broaden the student's level of math.
The solution is to:
The objective or solution is to fill in the blanks using a variable or variables using the following statement:
“Is there a real number whose square is –1?”
(a) Let the real number be x
The square of the number is x²
x² = -1
Therefore, “Is there a real number x ² = -1
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A real estate agent working in a large city believes that
A real estate agent working in a large city believes for three-bedroom houses, the selling price decreases by $2,000 for every mile increase in the distance of the house from the city center.
Who is an Agent?This is an individual who is empowered to act on behalf of another and is used in various sectors such as sports, housing etc.
From the graph, we can infer that the selling price decreases by approximately $2,000 for every mile increase in the distance of the house from the city center.
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Based on the passage, which is the best inference? poole dislikes his employer, mr. Jekyll. Poole distrusts the lawyer, mr. Utterson. Mr. Utterson suspects that hyde delivered the letter. Mr. Utterson does not expect poole’s response
Answer:
Mr. Utterson suspects that Hyde delivered the letter.
The best inference that can be drawn from the passage is "Mr. Utterson suspects that hyde delivered the letter.
The passage from The Strange Case of Dr. Jekyll and Mr. HydeOn his way out, the lawyer stopped and had a word or two with Poole. "By the bye,” said he, "there was a letter handed in to-day: what was the messenger like?” But Poole was positive nothing had come except by post; "and only circulars by that,” he added.
Hyde was trying to hide the fact that he delivered the letter but Mr Utterson had his suspicions and that was why he was asking about the appearance of the messenger.
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Fred has to write a report on the general opinion of the influence of television on political decision-making. what internet resource can he use to find information or start a discussion with other people on the topic?
Answer: You could start a reddit discussion.
Explanation:
Reddit draws in a lot of people in so you could get feedback easily
Creating a list of items that can be found in specific sections of a math book is called
Answer:
index
Explanation:
index is usually found in the back of a book
The standard form of the equation of a circle is (x−3)2+(y−1)2=16. what is the general form of the equation?
Answer:
x=3 y=1
Explanation:
x-3=0 y-1=0
x=3 y=1
(3-3)2+(1-1)=16
Answer:
Hello! Really really sorry I am alte! Hope this helps though! Have a nice day! And really helpful for k12 users!
Explanation:
Aster sells used cars. she earns no base pay, but is paid a commission of 25% for each car sold which can be modeled by the equation y = 0.25x, where x represents the total dollar amount of car sales. what is the meaning of the x-intercept in the equation? a) aster's percentage of the sales b) amount of earned raised with no sales c) used car company's percentage of sales d) amount of sales when no money has been earned
Using the given proportional relationship, it is found that the meaning of the x-intercept in the equation is given by:
d) amount of sales when no money has been earned
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
In this problem, the relationship is:
y = 0.25x.
In which y is the amount of money earned on x sales.
The x-intercept is the value of x when y = 0, that is, the value of x when no money has been earned, hence option d is correct.
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You are given a sample of metal and asked to determine its specific heat. you weigh the sample and find that its weight is 28.4 n. you carefully add 1.25 x 104 j of heat energy to the sample and find that its temperature rises to 18.0 °c. what is the sample’s specific heat?
The specific heat of the given sample of metal is 14.32 J/kg.K.
What is the Specific heat of a sample?The specific heat of a sample is the amount of heat needed or required to raise the temperature of that sample by 1K. It is given by the formula:
Q = mCΔT
where;
Q = Heat transferredm = Mass of the substanceC = Specific heat ΔT= Change in temperature.Recall that:
weight of a substance = mass × gravity
mass = 28.4 N/ 9.8 m/s²mass = 3 N/m/s² = 3 kgFrom the equation:
Q = mCΔT
[tex]\mathbf{C = \dfrac{1.25 \times 10^4 \ J}{3 \ Kg \times 291 \ K }}}[/tex]
C = 14.32 J/kg.K
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Find the value of x. round your answer to the nearest tenth.
Answer:
12.04.
Explanation:
The value of x round to the nearest tenth is 12.04.
In which aquatic ecosystem does fresh water meet salt water? wetlands intertidal zones estuaries neritic zones
Answer:
estuaries
Explanation:
it's a place similar to a river where salt water meets fresh water
Answer:
estuaries neritic zones
65g of nitric acid are produced in a reaction. 2. 5g of platinum are added to the reaction vessel at the start of the reaction to act as a catalyst. how much platinum will there be left in the vessel at the end of the reaction?
Answer:
2. 5g of platinum
Explanation:
catalyst gets the reaction going faster
its not part of the reaction
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65g of nitric acid are produced in a reaction. 2. 5g of platinum are added to the reaction vessel at the start of the reaction to act as a catalyst, 2. 5g platinum will there be left in the vessel at the end of the reaction.
What do you mean by catalyst ?The term catalyst is defined as a substance that changes the rate of a chemical reaction but is itself unchanged at the end of the process. Catalysis is the process of facilitating a reaction by adding a catalyst.
A catalyst is a substance that accelerates or reduces the temperature or pressure required to initiate a chemical reaction without being consumed in the process.
65g of nitric acid are produced in a reaction. 2. 5g of platinum are added to the reaction vessel at the start of the reaction to act as a catalyst, 2. 5g platinum will there be left in the vessel at the end of the reaction. Because catalyst increased the rate of reaction, it does not involve.
Thus, 2. 5g platinum will there be left in the vessel at the end of the reaction.
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Which of these gases must not be exposed to oil or grease
Answer:
nitro is the answer i think
This quote is located early in the narrative. what does it reveal about father paul? he is out of touch with the community he serves. he has been leon’s priest for a long time. he does not care for the members of his congregation. he knows that teofilo has passed away.
Based on the quote contained in the narrative, It can be deducued that Father Paul is: A. out of touch with the community he serves.
The Man to Send Rain Clouds."The Man to Send Rain Clouds" is the title of a story that was written and originally published in 1974 by Leslie Marmon Silko. Also, the story was centered on Native Americans and it described their quiet acceptance of death and the quality of contemporary Laguna Pueblo life.
Based on the quote contained in the narrative, It can be deducued that Father Paul is out of touch with the community he serves because it was acknowledged that he missed Mass last Sunday.
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Answer:
a. He is out of touch with the community he serves.
Explanation:
Fill in the boxes in the template to identify the nucleotide sequence, from 3′ to 5′, of the trna anticodon that will recognize codon 5 and the trna anticodon that will recognize codon 510 of the mrna template and to identify the amino acids that will be added at these two positions. a codon table is provided for reference.
The Filled up boxes that identify the nucleotide sequence is given in the image attached.
How do you get the tRNA anticodon?An anticodon is known to be seen at a given end of a transfer RNA (tRNA) molecule. In protein synthesis, when an amino acid is added to the growing protein, a tRNAis said to be produced as the base pairs along with its complementary sequence that is seen on the mRNA strand.
Conclusively, Note that codon is regarded as the a follow up of three nucleotides on mRNA, that encodes for a particular amino acid at translation.
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A linguist at a large university was studying the word length of papers submitted by students enrolled in humanities programs. from a random sample of 25 papers, the linguist counted the number of words used in each paper. the 95 percent confidence interval was calculated to be (20,995, 22,905)
The correct interpretation regarding the confidence interval is that we are 95% confident that the mean number of words used in all papers is between 20,995 and 22,905.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b
In this problem, the 95% confidence interval for the number of words in the sample of 25 papers is (20,995, 22,905), hence the interpretation is that we are 95% confident that the mean number of words used in all papers is between 20,995 and 22,905.
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Glencoe algebra 1 standardized test practice answer key
An example of Glencoe algebra 1 standardized test is simply 9a² + 7a + 4a² + 2a.
What is Glencoe Algebra 1 about?This is known to be a type of Textbook that is a Series. Its aim is to link math content and produce a set of adaptive instruction for students to succeed in algebra.
In the simplification of 9a² + 7a + 4a² 2a. you add like terms together.
Therefore, the answer will be 13a² + 9a
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Why do molecules have the most variation in their properties
Answer:
Timing and energy are also factors in isomerism. Molecules are mobile entities, undergoing all sorts of rotational motions that change their shapes, and those motions require energy. Thus, some molecules can be the same on one timescale or set of energy conditions but different, or isomeric, on others.
Explanation:
Molecules are mobile entities, undergoing all sorts of rotational motions that change their shapes, and those motions require energy.
draw the structural formula for the product formed by the reaction of the compound shown below with propylmagnesium bromide followed by aqueous hcl.
To draw the structural formula of the product first identify both the reactants and possible products, and then draw a structure to represent the product.
How to know what is the product of a reaction?The product of a reaction derives from the reactants or initial substances. Due to this, the best way to identify the product is to identify the reactants and determine how they interact. For example:
Are the reactans joining to form one product?Is a certain atom trasnferring from one strucutre to another?Among others.How to draw a structural formula?Identify the number of carbons in the product as this is usually the base for a structural formula and represent them, for this you can use C to represent each carbon atom.Place other atoms in the structure by making sure to relate the atoms to the correct carbon atom.Remember to represent the type of bonds between atoms. For example two lines connecting two atoms means there is a double bond.Note: This question is incomplete because ther is not information about the compound; due to this, the answer is based on general knowledge.
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George started a coin collection. his dad gave him 75 coins. each month he will add 20 coins to the collection. which equation can be used to find y, the total number of coins in george’s collection after x months?
Answer:
The equation that could be used for determining the y should be option B y = 20x + 75
Calculation of an equation:
Since dad gave him 75 coins. each month he will add 20 coins.
Here we assume a number of months be x
So, the equation is
y = 20x + 75
Therefore, we can conclude that The equation that could be used for determining the y should be option B y = 20x + 75
Explanation:
hope this helps!:) if does mark brainllest pls and thank u!
Which three items should a user remember when rating digital information
The three items a user remember when rating digital information are
Accuracy, Distribtion and Information
Digital Information Rating
Digital Ratings give us information about an idea of its content consumption by estimating
audience outreach, frequency and tme spent on digital contenet gross rating point (GRP).When rating any digital information, it is important to rememnber
Accuracy : This determines the quality of the informationDistrribution: This determines its sustainabilityInformation: This determines its relevancelearn more on digital Rating here:https://brainly.com/question/24152511
According to the law of supply and demand, an increase in supply and a decrease in demand results in -
Answer:
in the market a decrease in demand and an increase in the supply results to a serious fall in the equilibrium prices.
Explanation:
Therefore the effect on the equilibrium quantity caused by the decrease in demand and increase in the supply cannot be identified. moreover the producers forced to lower the prices of goods and services since the consumers can only bye small quantities of the goods. this leads to a fall in the prices of the commodities.
Isabella received an excellent job offer for the position of chief financial officer of her company. this was an opportunity for which she had worked very hard for a long time. it required her to move to another state. her family and friends were happy for her. however, her partner, whom she had been dating for two years, asked her not to take the job. over the last few months, isabella felt like she and her partner were not getting along very well and that their life goals were not aligning. isabella decided to accept the job offer and break off the relationship with her partner. although she was saddened by the relationship dissolution, she was excited about the future.
Based on the information provided, we can deduce that Isabella is suffering from cognitive dissonance.
What is cognitive dissonance?Cognitive dissonance can be defined as a mental state in which an individual has inconsistent thoughts, conflicting beliefs, or attitudes, with respect to behavioural decisions and attitudinal change.
This ultimately implies that, cognitive dissonance is a psychological disorder that highlights the mental conflict that arises when an individual's behaviors, thoughts, and beliefs are contradictory because they do not align.
In conclsuion, we can deduce from the information provided that Isabella is suffering from cognitive dissonance.
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The finishing times of a 5k race run by competitive male runners age 15-18 are approximately normal distribution with a mean time of 18 minutes and a standard deviation of 2 minutes. a particularly tough 5k race tends to take these same runners 4.5 additional minutes. to earn a completion medal in this particular 5k race, the runner must complete the race within 25 minutes. approximately, what percent of competitive male runners in the 15-18 age bracket typically do not earn a completion medal at this race?
Using the normal distribution, it is found that 0.1056 = 10.56% of runners do not earn the competition medal.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, considering the 4.5 additional minutes, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 22.5, \sigma = 2[/tex].
Runners that take more than 25 minutes to complete the race do not earn a medal, hence the proportion is one subtracted by the p-value of Z when X = 25, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25 - 22.5}{2}[/tex]
Z = 1.25
Z = 1.25 has a p-value of 0.8944.
1 - 0.8944 = 0.1056.
0.1056 = 10.56% of runners do not earn the competition medal.
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Using your own words, describe the characteristics of stalin’s rule in one sentence.
A perfect characterisation of Stalin's rule is that the rule is regimented and total under strict control.
Stalin's RuleUnder the Stallin's Rule, the peopl however enjoyed some benefits with regards to what happened to American during the great depression despite the Unlawful use of power under Stallin. Recreation then was basically sports and education is somewhat like flip learning, you have to learn from the media on your own.
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Subshells half-filled with electrons are particularly stable. can you suggest a possible physical basis for this claim?
The physical basis for this claim is that all orbitals need to have like one electron at least to hinder repulsion by the action of pairing of element.
What the ways that electrons are filled in Subshells?Shells and subshells are known to be filled in the level of energy order, and as such, electrons need to fill the 4s subshell before they can be able to fill 3d shell.
Note that Orbitals are often and singly filled by electrons and can double up only when all orbitals has like one electron to hinder repulsion by the action of pairing of element.
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Fundamentals of algebra practice book grade 7 answer key
Algebraic expressions are represented with numbers and variables
The algebraic expression of "5 more than twice a number" is 5 + 2x
How to solve the algebraic expression?From the complete question, we have the following statement:
"5 more than twice a number"
5 more than means 5 +
Twice a number means 2x, where x is the number
When both expressions are brought together, we have:
5 + 2x
Hence, the algebraic expression is 5 + 2x
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A masked allele in the genotype that is only expressed when 2 of the same masked alleles are inherited
A masked allele in the genotype that is only expressed when 2 of the same masked alleles are inherited is called recessive trait.
What is a trait?A trait can be defined as a distinguishing quality (characteristic) of a living organism. Thus, it refers to the specific features and characteristics that are possessed by a living organism.
According to Genetics, traits are essentially divided into two (2) and these include:
Dominant traits.Recessive traits.In conclusion, a recessive trait typically refers to a masked allele in the genotype (h0m0zygous) that is only expressed by a living organism when two (2) of the same masked alleles are inherited.
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Alexis is trying to partition segment ab in the ratio 2:3 using a compass. select the step that is missing in his process.
The process that Alexis should use to partition segment ab in the ratio 2:3 using a compass is; As detailed below
How to partition a Line Segment?To divide a line segment in 2:3 using compass, the steps that alexis has to follow these steps:
1) Draw any ray aₓ which makes an acute angle with segment ab.
2) Locate points a₁, a₂, a₃, a₄, a₅ on the ray aₓ such that aa₁, a₁a₂, a₂a₃, a₃a₄ and a₄a₅ are equal, with the aid of a compass.
3) Since alexis has to divide the line in ratio of 2:3, then the ray aₓ is divided into 5 equal parts.
4) Join the point b with the point a₅
5) From the point a₂, draw a line parallel to ba₅ and this can be drawn by making an angle equal to ∠aa₅b
6) Now, consider that the line that is drawn parallel to ba₅ intersect the given line ab at the point c.
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If p(x)=2x^3-3x+5 what is the remainder of p(x)/(x-5)
Answer:
Since the last term in the resulting expression is a fraction, the numerator of the fraction is the remainder.
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