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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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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Find the exact volume of this cylinder in terms of π. refer to your staar 8th grade math reference sheet for the appropriate formula.
The exact volume of this cylinder is equal to 225π cubic centimeters.
How to calculate the volume of a cylinder.Mathematically, the volume of a cylinder is given by this formula:
[tex]V = \pi r^2h[/tex]
Where:
h is the height.r is the radius.Given the following data:
Height of cylinder = 9 cm.
Diameter of cylinder = 10 cm.
Radius = [tex]\frac{diameter}{2} =\frac{10}{2} =5\;cm[/tex]
Substituting the given parameters into the formula, we have;
[tex]V = \pi \times 5^2 \times 9\\\\V = \pi \times 225[/tex]
Volume = [tex]225\;cm^3[/tex]
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Which of these phrases from the excerpt does jay use to describe the american government? intelligent and well informed uniformly entertained erroneous opinion vested with sufficient powers
The phrase that Jay use to describe the American government is Vested with sufficient powers.
How is the American government about?The United States government is known to be made up of 3 branches which are;
The legislative branch. The executive branch.The judicial branch.Conclusively, They are known to be Vested with sufficient powers so as too function properly.
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George made the box plots to compare the number of calories between his morning snacks and his afternoon snacks. Select from the drop-down menu to correctly complete the statement. George’s typical afternoon snack has about choose. More calories than his typical morning snack
Answer:
i had this question it was 225
Lesson 14.1 distance in the coordinate plane answer key
The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.
What is the Distance Formula?The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.
For example, given the following points on a coordinate plane:
A(2, 3) - (x1, y1)B(5, 6) - (x2, y2)Using the distance formula, we would calculate the distance as:
AB =√[(5−2)² + (6−3)²]
AB = √[(3)² + (3)²]
AB = √18
AB = 4.2
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A boundedintarray represents an indexed list of integers. in a boundedintarray the user can specify a size, in which case the indices range from 0 to size - 1. the user can also specify the lowest index, low, in which case the indices can range from low to low + size - 1.
The declaration of the data fields myItems and myLowIndex is that they prevent run time errors each time public methods needs to access the private data fields
How to determine the true statement?The boundedintarray is an illustration of arrays and lists
From the complete question, we have the declaration of the data fields:
myItems and myLowIndex
The declaration of the above data fields are used for the following reasons:
Prevent run time errorsAllows a public method to access private data fieldsHence, the true statement about the declarations prevent run time errors each time public methods needs to access the private data fields
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The passage suggests that greater transparency in the federal reserve will help workers and create more equitable prosperity for average americans. suppose the democratic party wants to create a statement about helping workers and reducing inequality in their party platform. explain how the ideological perspective of the democratic party would likely affect how it would address these economic issues.
The ideological perspective of the democratic party would likely bring about the rejecting illegal and corrupt people/nominees.
What is the ideology perspective of the Democratic Party?The party known to be the Democratic Party of the United States is known to be one that uses American liberalism.
The party is known to have large centrist, progressive wings, smaller conservative and also small socialist elements.
Note that suppose the democratic party wants to create a statement about helping workers and reducing inequality in their party platform, they have to create one that is centered around American liberalism.
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#SPJ1
A huge rotating patch of particles in space drift together to form an increasingly dense ball. as it shrinks in size, the cloud _______.
A huge rotating patch of particles in space drifts together to form an increasingly dense ball. As it shrinks in size, the cloud rotates faster.
What is gravity?Gravity is a physical property of the matter associated with the attraction of objects to each other, which can increase the density by speeding up such objects.
The gravity of our star (Sun) maintains all the planets of the solar systems in a constant and stable orbit.
Subsequently, planets have their own gravity that allows them to attract minor objects such as satellites.
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In the summer, the arctic fox appears brown because its cells produce a dark pigment. however, in the winter, the arctic fox appears white because the dark pigment is not produced. the color change is most likely due to the effect of
Answer:
To camouflage
Explanation:
This trait was selected for because it led to better survival. In the winter the foxes would be white and blend in with the snow to hide from predators and in the summer they become darker to better blend in with the summer environment.
The diagram shows a food web in an ecosystem. Which of these changes is most likely to occur in the ecosystem if all the insects and worms were affected by a disease and died?
Answer:
Not sure.
Explanation:
Do you have the actual diagram to visualize?
How many ways can a person select 8 videotapes from 10 tapes?
provide reagents, intermediates and the final product for the reaction sequence.
In a chemical reaction different elements influence, some of them are the reagents, the intermediate products and the final products.
What is a reagent?A reagent is a term that refers to a substance or compound added to a system to cause a chemical reaction.
What are the chemical intermediates?Intermediate products are more elaborate compounds, destined for the production of final products, that is, they are compounds that are included as reagents in a reaction to obtain a certain product.
On the other hand, those substances that are produced halfway through a chemical reaction are also known as intermediates.
What are the products of a chemical reaction?The products of a chemical reaction are the substances that arise after the reaction between two or more chemical substances.
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To add emphasis to the idea that this object is different than other recent objects discussed, an audio version of this text could have a pause after "this suffragette." after "recent objects." before "mass consumption." before "this one is about."
Answer: D
Explanation: before “this is one about”
Verify that the function satisfies the hypotheses of the mean value theorem on the given interval 4
Answer:
Step-by-step explanation
See attachment(s) with explanation below.
Explanation:
Which conflicts are revealed in the passage? select two options. an internal conflict within the narrator, who is frightened by the extremity of her anger at her mother an external conflict between the narrator, who is demanding independence, and her mother, who is demanding obedience an external conflict between the narrator and her mother over whether or not the narrator will continue to live at home an internal conflict within the narrator’s mother, who cannot decide whether to throw her daughter out of the family home an external conflict between the narrator, who wants to be the kind of daughter her mother wants, and her mother, who thinks that’s impossible
The conflicts revealed in the passage from "Two Kinds" are;
An internal conflict within the narrator, who is frightened by the extremity of her anger at her mother.An external conflict between the narrator, who is demanding independence, and her mother, who is demanding obedience.The passage from "Two Kinds.”"You want me to be something that I’m not!” I sobbed. "I’ll never be the kind of daughter you want me to be!” "Only two kinds of daughters,” she shouted in Chinese. "Those who are obedient and those who follow their own mind! Only one kind of daughter can live in this house. Obedient daughter!”
"Then I wish I weren’t your daughter. I wish you weren’t my mother,” I shouted. As I said these things I got scared. It felt like worms and toads and slimy things crawling out of my chest, but it also felt good, as if this awful side of me had surfaced, at last. "Too late change this,” said my mother shrilly. And I could sense her anger rising to its breaking point. I wanted see it spill over. And that’s when I remembered the babies she had lost in China, the ones we never talked about. "Then I wish I’d never been born!” I shouted. "I wish I were dead! Like them.
Therefore, the correct answer is option A and option B.
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Answer:
A and B
Explanation:
If a parent cell has 10 chromosomes, how many chromosomes will be in each daughter cell?
True or false every rational function has at least one vertical asymptote
Answer:
false
Explanation:
because not every function has at least one vertical asymptote.
A mass is suspended on a vertical spring. initially, the mass is in equilibrium. then, it is pulled downward and released. the mass then moves up and down between the "top" and the "bottom" positions. by definition, the period of such motion is the time interval it takes the mass to move:
Given p(x) = negative4(x minus 15)2 + 2, what is the value of p(7)?
the value of P(7), given P(x) = negative4(x minus 15)2 + 2 is 1721.
The problem above can be solved using the ideal of polynomial.
What is a Polynomial?Polynomials are mathematical expressions whereby the highest degree of their unknown is 2 and above.
Given:
P(x) = negative4(x minus 15)2 + 2P(x) = -4(x-15)²+2Expand the expression
P(x) = -4(x²-30x+225)+2P(x) = -4x²+120x+900+2P(x) = -4x²+120x+902To find P(7), we subtitute 7 as the value of x in the expression above
P(7) = -4(7²)+120(7)+909P(7) = -28+840+909P(7) = 1721Hence, the value of P(7), given P(x) = negative4(x minus 15)2 + 2 is 1721.
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OCPA-West has significant influence on media about the Army. What are the benefits and drawbacks of this influence?
Answer:
To disseminate a positive message, the military can provide written information, press releases, briefings, and films.
Explanation:
.
In order to figure out the distance, what do I do?
Answer:
d = square root of {(x2 - x1)^2 + (y2-y1)^2}
Explanation:
If you're referring to math-
the distance is equal to (the second x value minus the first x value)^2 plus (the second y value minus the first y value)^2
For example: this is my imaginary ordered pair, I want to find the distance between the points- (2,4) and (3,6)
So d= (3-2)^2 - (6-4)^2 all under a square root
3-2 is = to 1, and 1 squared is just 1.
6-4 is = to 2, and 2 squared is 4.
4+1 is = 5.
So your answer would be the square root of 5.
If your answer ended up as, for example, the square root of 16, you would go a step further and your answer, or distance would be 4, since 4^2 is 16
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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What is the name of the place on a solid where two faces meet brainly
Which technique would most probably involve using a magna brush to detect a latent print? a. carbon powder dusting b. ninhydrin exposure c. iron powder dusting d. silver nitrate exposure e. superglue fuming
Answer:
A: Carbon Powder dusting
Explanation:
An artistic technique in which carbon dust is applied to a prepared surface via dry brushes.
Symbolism is the use of concrete things to represent
Answer:
A symbol is the use of a concrete object to represent an abstract idea.
Explanation:
It often occurs when an object, person, or situation represents an abstract idea in addition to a literal meaning.
State two ways in which media could ensure access of information to all communities brainly
The media ensure access to information because there is a wide variety of media with different opinions and collect information on different topics.
What are the media?The media are a set of tools that have allowed the publication of information for the reader. The information used by the media is generally focused on a public and has a specific purpose to inform.
How do the media ensure access to information?The media can assure the public access to true and reliable information because they have primary sources in different places to collect the news.
Additionally, they have developed different means of dissemination such as the internet, mobile and printed versions to have coverage over a greater number of people.
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When written as y=f(x) a function is said to be defined
Answer:
Explicity
Explanation:
so when we have a function is y is equal to f of X. Which this is really just saying that it's only dependent on one input. Then these kind of functions are called explicitly defined.
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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Which happens during interphase?
what reaction does glucose-6-phosphatase catalyze?
Answer:
In glycolysis a separate enzyme (Hexokinase) adds a phosphate onto Glucose and is ATP dependent. The reaction catalyzed by Glucose-6-Phosphatase is a hydrolysis which in water is extremely difficult to reverse- because water is in very high concentration.
Explanation:
