Step-by-step explanation:
what is the problem here, what do you not understand ?
you do know fractions, and how to multiply and divide them ? because that would be a precondition for a teacher to give you such a problem to solve.
so, if you do know the handling of fractions, this is very basic and easy thing to solve.
let's get into it then :
2 similar triangles. that means all lengths of all lines in one triangle are the result of multiplying the corresponding lines in the other triangle by a constant factor.
that is the meaning of a scaling factor.
it is like on a map, where it says 1 unit on the map is that many units out there in reality.
your teacher was really nice to point out the right angles and even a second angle (37 degrees), so that we can immediately see, which side or line of one triangle corresponds to which side or line of the other.
when we imagine now to turn e.g. the smaller triangle so that it is oriented the same way as the larger one, we see that QS corresponds to LJ. and QR to LK. and RS to KJ.
so, we are going in the scaling process from left to right. that means we are starting with the larger triangle and turn it into the smaller triangle.
so, what (scaling) factor do I need to multiply with 15 to get 10 ?
it is the same factor to go also from 9 to 6 and from 12 to 8.
15×x = 10
x = 10/15 = 2/3
15 × 2/3 = 30/3 = 10
12 × 2/3 = 24/3 = 8
9 × 2/3 = 18/3 = 6
so, as you can see, 2/3 is the correct scaling factor.
If the 10 cookies are all different types and you plan to give anyhony and misha each 3 cookies and lizard the other 4, how many possible distributions are there
there are 4,200 possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, considering the given conditions.
To determine the number of possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, we can use combinatorial analysis.
First, let's consider the distribution of 3 cookies to Anthony. Since there are 10 cookies to choose from, the number of ways to select 3 cookies for Anthony is given by the combination formula:
C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 10 * 9 * 8 / (3 * 2 * 1) = 120
Next, we consider the distribution of 3 cookies to Misha. Since there are 7 remaining cookies after Anthony's selection, the number of ways to select 3 cookies for Misha is:
C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!) = 7 * 6 * 5 / (3 * 2 * 1) = 35
Finally, the remaining 4 cookies are automatically assigned to Lizard.
To find the total number of possible distributions, we multiply the number of ways to distribute the cookies to Anthony, Misha, and Lizard:
Total number of possible distributions = 120 * 35 = 4,200
Therefore, there are 4,200 possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, considering the given conditions.
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Pls help me. I need help
Answer:
x= horizontal y=verticalThe table to the right shows the population of five countries in 2012 you are researching and notice that India has approximately 250,000,000 people less then China what is the population in India
Answer:
1350000000-250000000=1100000000
Step-by-step explanation:
1) Consider f(x) = 2/x Determine: f(x+h)-f(x) h (Show clear work, attach addition paper as needed) Now drop the 'h' and state the remaining expression below. f'(x) = Now determine: f(x) f(x) Domain: R
The expression f'(x) represents the derivative of f(x). In this case, f(x) = 2/x, and by finding f(x+h) - f(x), we obtain an expression that helps us calculate the derivative.
Dropping the 'h' from that expression gives us f'(x) = -2h / (x(x+h)). The derivative provides information about the rate of change of the function at any given point x. The domain of f(x) = 2/x is R, which means the function is defined for all real numbers except x = 0. The difference between f(x+h) and f(x) is given by -2h / (x(x+h)). The expression f'(x) represents the derivative of f(x) and can be obtained by dropping the 'h' in the difference expression. In this case, f'(x) = -2h / (x(x+h)). The domain of f(x) = 2/x is R, indicating that the function is defined for all real numbers except x = 0. The derivative provides information about the rate of change of the function at any given point x.
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what is 550 divided by 160
Answer:
\(\frac{55}{16}\)
Step-by-step explanation:
\(550 \div 160\)
\( = \frac{550}{160} \)
\( = \bold{ \frac{55}{16} }\)
Answer:
550 DIVIDED BY 160 =3.4375
Five employees are available to perform four jobs. The lime it takes each person to perform each job is given in Table 50. Determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs.
TABLE 50
Person
Time (hours)
Job 1
Job 2
Job 3
Job 4
1
22
18
30
18
2
18
—
27
22
3
26
20
28
28
4
16
22
—
14
5
21
—
25
28
To determine the assignment of employees to jobs that minimizes the total time required to perform the four jobs, we need to consider the time taken by each person to complete each job. Using the given Table 50, we can analyze the data and identify the optimal assignment.
By examining Table 50, we can identify the minimum time taken by each person for each job. Starting with Job 1, we see that Person 4 takes the least time of 16 hours. Moving to Job 2, Person 2 takes the least time of 18 hours. For Job 3, Person 1 takes the least time of 25 hours. Lastly, for Job 4, Person 4 takes the least time of 14 hours.
Therefore, the optimal assignment would be:
- Person 4 for Job 1 (16 hours)
- Person 2 for Job 2 (18 hours)
- Person 1 for Job 3 (25 hours)
- Person 4 for Job 4 (14 hours)
This assignment ensures that the minimum total time is required to perform the four jobs, resulting in a total time of 16 + 18 + 25 + 14 = 73 hours.
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How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution
Answer:
It has got one solution since it is a linear equation which falls under polynomials
What is the image of A(1,-3)?
use the following transformations with each question:
Reflection across the x-axis
Reflection across the y-axis
Reflection across the y = x
Reflection across the y = -x
Step-by-step explanation:
Given A(1 , -3)
Reflection across the x -axis
= A'( 1 , 3)
Reflection across the y-axis
= A'( -1 , - 3)
Reflection across the y = x
= A' ( -3 , 1)
Reflection across the y = - x
=A'( 3 , - 1)
Hope it will help ☺
4=4 what property is it?
Answer:
symemetric property
Step-by-step explanation:
Identify the sampling technique used (or to be used) in the following scenarios. Possible answers could be simple random, systematic random or stratified random sampling.
a)
This sampling technique is simple random sampling, since the students are selected at random by drawing their names from a piece of paper.
b)
Since there is a condition to select a resident (being the sixth resident of the list), this technique is classified as systematic random sampling.
c)
The 20 students were selected by using a table of random numbers without any criteria. Therefores, this is a simple random sampling technique.
d)
Since, among the 100 selected random people, there was a pre determined subgroup of 5 barangays, this is a stratified random sampling technique.
e)
Since everyone in the sample was selected at random by dwaring lots, this is a simple random sampling technique.
There are five purple marbles and nine yellow marbles in a bowl for marbles are randomly selected from the book one of the time with replacement after each selection what is the probability that offer marbles are purple round to three decimal places
Answer:0.119
Step-by-step explanation:5/14 divided by 3
translate: the sum of 1 and twice a number f is divided by 3 and then added by 2 is equal to the number f
Answer:
(1+2f)/3 + 2 = f
Step-by-step explanation:
Writing the equation
the sum of 1 and twice a number f
1 + 2f
divided by 3
(1+2f)/3
then added by 2
(1+2f)/3 + 2
is equal to the number f
(1+2f)/3 + 2 = f
A town has a population of 3000 and grows at 2.5% every year. To the nearest tenth of a year, how long will it be until the population will reach 4600?
It will take the town 21 years 4 months to reach 4600 in population
What is rate?
a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
initial population = 3000
population increase every year = 2.5% of 3000
which is 2.5/100 x 3000 = 75
let the time taken to reach 4600 be d
increment for d number of years = 75d
Total population after d years is 75d + 3000
so 75d + 3000 = 4600
75d = 4600 - 3000
75d = 1600
d = 1600/75
d = 21.33 years which is 21 years 4 months
In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600
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One rule of thumb for estimating crowds is that each person occupies 2. 5 square feet.
Use this rule to estimate the size of a crowd attending a local concert that is 110ft deep
and 50ft wide.
The number of people that will occupy 5500 square feet=2200 people
Giver information is each person occupies 2.5 square feet.
Area of the concert an area is 110 feet long and 50 feet wide
To know the total square feet we have to multiply the given breadth and wide.
Area=110*50
Area=5500 square feet
If one person occupies 2.5 square feet, the number of people that will occupy is 5500 square feet.
And to know how many people will occupy we have to divide the given feet of one person by total square feet ie.
= 5500/2.5
= 2200 people
Therefore, the number of people that will occupy 5500 square feet=2200 people
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The idea that you can empower players to seamlessly generate new content to a game continuously to keep the game fresh: Group of answer choices Loot boxes
User-generated content is the idea that you can empower players to seamlessly generate new content to a game continuously to keep the game fresh.
User-generated content (also known as UGC or consumer-generated content material) is original, emblem-particular content material created by customers and published on social media or other channels. UGC comes in many paperwork, inclusive of photos, films, opinions, a testimonial, or even a podcast.
User-generated content (UGC) has become an essential part of the content material advertising method within the present day era in which customers are prepared to rave about your products or services online. UGC refers to the content this is created through the users of a logo.
Types of User-Generated Content
Social media content.Reviews and testimonials.Blog posts.Video content (including live streaming and AR lenses/filters)Q&A Forums (including comments)Case studies.Learn more about User-Generated Content here https://brainly.com/question/20900221
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Which equation matches the graph below?
Ay
2
2
O A. y = -(x1+2
0
B. y = -xl-2
O C. y = x1-2
O D. y = \x{+ 2
Answer:Given that the graph shows tha the functión at x = 0 is below the y-axis, the constant term of the function has to be negative. This leaves us two possibilities:
y = 8x^2 + 2x - 5 and y = 2x^2 + 8x - 5
To try to discard one of them, let us use the vertex, which is at x = -2.
With y = 8x^2 + 2x - 5, you get y = 8(-2)^2 + 2(-2) - 5 = 32 - 4 - 5 = 23 , which is not the y-coordinate of the vertex of the curve of the graph.
Test the other equation, y = 2x^2 + 8x - 5 = 2(-2)^2 + 8(-2) - 5 = 8 - 16 - 5 = -13, which is exactly the y-coordinate of the function graphed.
Step-by-step explanation:
Solve 6x + c = k for x
Answer:
106 bucks
Step-by-step explanation:
Answer:
x = - 1/6c + 1/6k
Step-by-step explanation:
...........
A blue ray player cost $187.60. A 20% down payment is required with monthly payments of $39.40 for 4 months. What is the price paid for the blue ray player? What is the finance charge?
cost = $187.60
20% down
4 months of $39.40
1.- Calculate the 20%
187,6 ------------------- 100
x -------------------- 20
x = (20 x 187.6) / 100
x = 3752/100
x = 37.52
2.- Calculate the final price
Price paid = 37.52 + 4(39.40)
Price paid = 37.52 + 157.6
= $195.12
2.- Finance charge
= 195.12 - 37.52
= $157.6
Volume equals length times width times height.
V = lwh
Solve the equation for the length, l.
1 = [?] w[?]
Answer:
L = V/wh
Step-by-step explanation:
you have to get L by its self so on the original move the letters around to get it by its self. Imagen it’s like soliving for X
Define an independent set of a graph G = (V, E) to be a subset S of vertices such that V - S is a vertex cover of G. Is every 2-approximation algorithm for finding a minimum vertex cover also a 2-approximation algorithm for finding a maximum independent set? Justify your answer
No, every 2-approximation algorithm for finding a minimum vertex cover is not necessarily a 2-approximation algorithm for finding a maximum independent set.
The reason for this is that the two problems, minimum vertex cover and maximum independent set, are not symmetric in their definitions and objectives.
In the minimum vertex cover problem, the goal is to find the smallest possible set of vertices that covers all edges in the graph. On the other hand, in the maximum independent set problem, the objective is to find the largest possible set of vertices such that no two vertices in the set are adjacent.
An approximation algorithm for the minimum vertex cover problem guarantees that the size of the vertex cover found by the algorithm is at most twice the size of the optimal minimum vertex cover. This means that the algorithm provides a solution that is within a factor of 2 of the optimal solution.
However, this does not imply that the same algorithm will provide a solution within a factor of 2 of the optimal maximum independent set. The reason is that the concepts of vertex cover and independent set are complementary. A vertex cover is a set of vertices that covers all edges, whereas an independent set is a set of vertices with no adjacent vertices.
Therefore, while a 2-approximation algorithm for minimum vertex cover guarantees that the size of the vertex cover is at most twice the size of the optimal solution, it does not necessarily imply that the algorithm will find a maximum independent set with a size within a factor of 2 of the optimal solution.
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1 + -(2/3) - (-m) m = 9/2
answer
\(m = + 5 \div \sqrt{6 \: } \: \: \: or \: - 5 \div \sqrt{6} \)
can any one help me plz
Answer:
$0.11
Step-by-step explanation:
price ($28.16) divided by amount (265) = unit rate
4. A plane was flying at an altitude of 55,000 feet when it began the descent toward the airport. The airplan
descends at a rate of 825 feet per minute.
A. What is the function rule that describes this situation?
B. What is the altitude of the plane after it has descended for 13 minutes? Show your work
C. Use the function in Part A to determine how long it takes for the plane to land if it descends at a
continuous rate.
Answer:
Step-by-step explanation:
A Descent rate,
B 10725ft,
C 25min
prove that if g is a finite group the index of z(g) cannot be prime
A finite group is a group that has a finite number of elements. Now, let us define the center of a group. The center of a group, denoted by Z(G), is the set of all elements in G that commute with every element in G.
Now, we need to prove that if g is a finite group, the index of Z(g) cannot be prime. We can prove this using contradiction. Suppose the index of Z(g) is prime. Let this prime be denoted by p. This means that the number of distinct left cosets of Z(g) in g is p. Therefore, we can write:
|g/Z(g)| = p
where |g/Z(g)| represents the number of distinct left cosets of Z(g) in g.
Now, we can use the fact that the number of left cosets of a subgroup in a group is equal to the index of that subgroup in the group. Therefore, we can rewrite the above equation as:
|g|/|Z(g)| = p
Multiplying both sides by |Z(g)|, we get:
|g| = p|Z(g)|
Since p is a prime number, it can only be divided by 1 and itself. Therefore, the only possible divisors of p|Z(g)| are 1, p, and |Z(g)|.
Now, since |g| is finite, we know that |Z(g)| cannot be infinite. Therefore, the only possible values for |Z(g)| are positive integers that divide |g|. However, since p is a prime number, |Z(g)| cannot be equal to p. This means that the only possible values for |Z(g)| are 1 and |g|.
If |Z(g)| = 1, this means that Z(g) only contains the identity element. Therefore, g does not have any non-identity elements that commute with every other element in g. This is not possible since every group has at least one element that commutes with every other element in the group - the identity element.
If |Z(g)| = |g|, this means that every element in g commutes with every other element in g. This implies that g is an abelian group. However, this contradicts the fact that g is a finite group that is not abelian.
Therefore, we have reached a contradiction in both cases. This means that our assumption that the index of Z(g) is prime is false. Therefore, if g is a finite group, the index of Z(g) cannot be prime.
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Find the area of the chape giving… pls help me
Answer:
Area = 8 sq cm
Step-by-step explanation:
This shape is a parallelogram. Its like a rectangle that got tipped over. Area is:
base × height.
We don't know the base that is on the bottom of the image as it is shown. But if you turn it sideways, the 4 can be the base and the 2 is the height.
Area = b × h
= 4 × 2
= 8
The area is 8 sq cm.
In a ________ method, relationships between variables are studied by making observations or measures of the variables of interest.
In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.
What is nonexperimental research?Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.
The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.
It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.
Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.
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let t be a linear transformation defined by a square matrix a. prove that t is an isomorphism if and only if a is nonsingular.
A linear transformation t defined by a square matrix a is an isomorphism if and only if a is nonsingular.
To prove this statement, we first recall that an isomorphism is a linear transformation that is both injective (one-to-one) and surjective (onto). If t is an isomorphism, then it is invertible, which means that there exists another linear transformation t^-1 such that t(t^-1(x)) = x and t^-1(t(x)) = x for all vectors x in the domain of t. In matrix notation, this means that aa^-1 = a^-1a = I, where I is the identity matrix.
Now suppose that a is nonsingular, which means that its determinant det(a) is nonzero. This implies that a^-1 exists and is also a square matrix. If we can show that t is injective and surjective, then we can conclude that t is an isomorphism. To prove injectivity, suppose that t(x) = t(y) for some vectors x and y. Then ax = ay, which implies that a(x - y) = 0. Since det(a) is nonzero, it follows that x - y = 0, which means that x = y. Thus, t is injective. To prove surjectivity, let z be an arbitrary vector in the range of t. Then there exists a vector y such that t(y) = z.
This implies that ay = z, which means that y = a^-1z. Thus, every vector in the range of t can be written as t(a^-1z), which shows that t is surjective. Therefore, we can conclude that t is an isomorphism if a is nonsingular. Conversely, if t is an isomorphism, then it must be invertible, which implies that a must be nonsingular, as we showed earlier. Thus, t is an isomorphism if and only if a is nonsingular.
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Dylan runs 4 laps around a track in 16 minutes.
a) How many minutes per lap is that?
How many laps per minute is that?
If Lin runs 2 laps at the same rate, how long does it take her?
Corrosion of structural metals can occur in a variety of ways. For the following failure, identify the appropriate types of corrosion from the list below. Corrosive ammunition in a firearm creates visible surface roughness and divots in the bore. Sensitization Pitting Galvanic Corrosion Crevice Corrosion Selective Leaching
The appropriate type of corrosion for the described failure, where corrosive ammunition in a firearm creates visible surface roughness and divots in the bore, is pitting corrosion.
Pitting corrosion is a localized form of corrosion that results in the formation of small pits or cavities on the surface of a metal. It occurs when a small area on the metal's surface becomes more susceptible to corrosion due to factors such as local chemical composition variations, impurities, or mechanical damage.
In the given scenario, the visible surface roughness and divots in the bore of the firearm are indicative of localized damage, which aligns with the characteristics of pitting corrosion. Corrosive ammunition can introduce chemicals or compounds that create localized corrosive environments on the metal surface. These localized areas experience accelerated corrosion, leading to the formation of small pits or divots.
It's important to note that pitting corrosion can occur in the presence of corrosive substances or environments, and the localized damage is often more severe than general corrosion. Proper maintenance and regular inspection are crucial to prevent and mitigate pitting corrosion, especially in applications where metal surfaces are exposed to corrosive agents like corrosive ammunition.
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I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Answer:
The answer is 10.2
Step-by-step explanation:
This question wants you to use the Pythagorean Theorem
The Pythagorean Theorem is A^2+B^2=C^2
In this case you can substitute A for 11 and C for 15
If you do some algebra and make the equation B^2=C^2-A^2 or B^2=15^2-11^2
You can simplify and solve now.
B^2=225-121
B^2=104
B=\(\sqrt{104}\)