Answers
The range and domain of the given graph are expressed as:
D = -4 ≤ x ≤ 3
R = -4 ≤ y ≤ 3
What is the domain and range of the graph?The domain of a function is defined as the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).
The range of a function is defined as the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
Now, since domain is set of input values and range is a set of output values, then from the graph, we can see that the domain is:
D = -4 ≤ x ≤ 3
Then the range is expressed as:
R = -4 ≤ y ≤ 3
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Related Questions
A formula of order 4 for approximating the first derivative of a function f gives: f'(0) - 0.08248 for h = 1 f(0) = 0.91751 for h = 0.5 By using Richardson's extrapolation on the above values, a better approximation of f'(0) is: 0.17095 1.00177 0.97318 1.93645
Answers
The better approximation for f'(0) using Richardson's extrapolation is approximately 1.75254. So none of the options are correct.
Richardson's extrapolation is a technique used to improve the accuracy of numerical approximations by combining multiple estimates of a quantity. It is commonly applied in numerical analysis and computational mathematics.
To use Richardson's extrapolation, we can apply the formula:
[tex]f'(0) =\frac{2^p * f'(h) - f'(2h)}{2^p - 1}[/tex]
Given the values:
f'(0) = 0.08248 for h = 1
f'(0) = 0.91751 for h = 0.5
We can substitute these values into the Richardson's extrapolation formula:
[tex]f'(0) =\frac{2^1 * 0.91751 - 0.08248}{2^1 - 1}[/tex]
[tex]f'(0)= \frac{1.83502 - 0.08248}{1}[/tex]
[tex]f'(0)=1.75254[/tex]
Therefore, the better approximation for f'(0) using Richardson's extrapolation is approximately 1.75254.
None of the provided options (a, b, c, d) match this value, so none of them are correct.
The question should be:
A formula of order 4 for approximating the first derivative of a function f gives:
f'(0) = 0.08248 for h = 1
f'(0) = 0.91751 for h = 0.5
By using Richardson's extrapolation on the above values, a better approximation of f'(0) is:
a. 0.17095
b. 1.00177
c. 0.97318
d. 1.93645
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I Need Help ..
4. Evaluate the functions,
Let f(0) = 21-1 and 8(x) - 7-4 find
a. /(0)
b. S(1)
c. (-1)
en g(0)
f. 8(-2)
Answers
Answer: cos ( 390 ) − 4 cot ( − 45 ) sin (330 )
Step-by-step explanation: MAKE ME BRANLIEST!!!!!!
determine (a) the x y and z components of the 450-n force, and the angles
Answers
The x-component of the 450 N force is 0 N, the y-component is -450 N, and the z-component is 0 N. The angles associated with the force are 90 degrees with the x-axis and 180 degrees with the z-axis.
To determine the x, y, and z components of a force, we need to express the force in terms of its magnitude and direction angles. The x-component represents the force's projection onto the x-axis, the y-component represents the projection onto the y-axis, and the z-component represents the projection onto the z-axis.
In this case, the force has no component along the x-axis, so the x-component is 0 N. The force's entire magnitude is directed in the negative y-direction, so the y-component is -450 N. Similarly, the force has no component along the z-axis, so the z-component is 0 N.
As for the angles, the force is perpendicular to the x-axis, resulting in a 90-degree angle. The force is also directed opposite to the positive z-axis, resulting in a 180-degree angle with the z-axis.
Therefore, the x-component of the force is 0 N, the y-component is -450 N, and the z-component is 0 N. The angles associated with the force are 90 degrees with the x-axis and 180 degrees with the z-axis.
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Reconstruction failed to establish racial equality and black freedom. Explain how the rapid industrialization of the United States under the system of "free labor" in the years after the Civil War led to a social crisis by the end of the nineteenth century in which the traditional American values of democracy, equality, and opportunity seemed to be disappearing, and in which class conflict threatened to tear society apart. How did the capitalists and working classes attempt to enhance their own power and interests in their struggle with each other? Why was the working class unable to achieve much, despite valiant efforts? How did the middle-class respond to the struggle between labor and capital as well as the changes that American society underwent during the late nineteenth century?
Answers
The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.
After the Civil War, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. This crisis seemed to be causing the disappearance of traditional American values of democracy, equality, and opportunity, and class conflict was threatening to tear society apart.In their struggle against each other, capitalists and working classes attempted to enhance their own power and interests. Capitalists attempted to enhance their power by instituting new labor policies, cutting wages, and lowering working conditions.
The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements. They sought to provide relief for the urban poor and to reform politics by promoting women's suffrage and demanding the elimination of political corruption.In conclusion, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. Capitalists and working classes attempted to enhance their power and interests in their struggle with each other. The working class was unable to achieve much, despite valiant efforts. The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.
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Please help asaaap number 9
Answers
Answer:
The answer is 5 years
Step-by-step explanation:
50+(3x5)=65
75-(2x5)=65
picture included !
Find the solution to the system
of equations.
Answers
Assuming that 8 is a constant, solve the following problem for Laplace's Equa- tion in the upper half plane: PDE: 4x + y = 0, on - 0 a, and furthermore assuming that u(x,y) → 0 uniformly in x as y → 8.
Answers
The problem involves solving Laplace's equation in the upper half plane with the boundary condition given by the equation 4x + y = 0 on the line segment -0 ≤ x ≤ a. Additionally, it is assumed that the solution u(x, y) approaches zero uniformly as y approaches infinity.
Laplace's equation in two dimensions is given by ∇²u = 0, where u(x, y) is the unknown function and ∇² is the Laplacian operator. In this problem, we are specifically interested in solving Laplace's equation in the upper half plane.
To solve Laplace's equation in the upper half plane with the given boundary condition, we can use the method of separation of variables. We assume a solution of the form u(x, y) = X(x)Y(y) and substitute it into Laplace's equation. This leads to two separate ordinary differential equations, one for X(x) and one for Y(y).
Solving the equation for X(x), we obtain a solution in terms of x. Similarly, solving the equation for Y(y), we obtain a solution in terms of y. By applying the given boundary condition 4x + y = 0 on the line segment -0 ≤ x ≤ a, we can determine the specific form of the solution.
The assumption that u(x, y) approaches zero uniformly as y approaches infinity indicates that the solution must decay as y increases. This condition further constrains the form of the solution and allows us to determine the behavior of the solution as y approaches infinity.
By solving the separated differential equations and applying the boundary condition and the assumption of uniform decay, we can obtain the solution to Laplace's equation in the upper half plane with the given conditions.
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The graph shows the function f(x).
Which value is closest to the average rate of change from x = 1 to x = 3?
−3.5,
−2.3,
−1.8,
−0.3,
Answers
Answer:
-3.5
Step-by-step explanation:
NEED HELP ASAP!!! At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64.
Let x be the cost of an adult ticket and let y be the cost of a child ticket. Write and solve a system of equations to find the ticket price for one adult and for one child.
Answers
Answer:
Step-by-step explanation:
2x+4y=48
5x+2y=64
Adult ticket: $10 Child ticket: $7
For 2 adults and 3 children with the given price per ticket, the family having brought $40 as a budget, their budget would not be high enough as the total would come to be $41. They'd be a dollar short.
You and your friend decide to conduct a survey at your school to see whether students are in favor of a new dress code policy. Your friend stands at the school entrance and asks the opinions of the first 100 students who came to campus on Monday. You obtain a list of all students at the school and randomly select 60 to survey
Your friend finds 34% of his sample in favor of the new dress code policy, but you find only 16%. Which do you believe us more likely to be representative of the school population? Explain your choice.
Answers
Answer:
34% in favor of the new dress code
Step-by-step explanation:
Because it has a higher percentage and when there is only 16% of students that doesn't really prove the claim or statement. But, when there is more participating or voting that claim or statement is supported.
PLEASE HELP THANKS
-----------------------------------
Answers
Answer:
the answer should be 25, 32 , 40
Step-by-step explanation:
it does not follow the Pythagoras theorem
good day mate
Determine the next term in the geometric sequence below.
-1, -2, -4, ...
-7
-10
-8
-6
Answers
Answer:
-8
Step-by-step explanation:
The rule for the sequence is ×2
E.g.
-1×2=-2
-2×2=-4
-4×2=-8
Answer:
-8 is the correct answer according to the sequence's rule.
A plane takes off and climbs steadily for 15 minutes until it reaches 30,000 feet. It travels at that altitude for 2 hours until it begins to descend to land, which takes 15 minutes at a constant rate
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b. consider the following system, where you are applying a load p: mathematically, show which system is harder to tip over if a = 0.75b, b = 10, and c = 0.5a. assume both blocks have the same weight.
Answers
If we consider a system where block A has a length of 0.75 times block B's length, block B has a length of 10, and block C has a length of 0.5 times block A's length, we can determine which block is harder to tip over.
To analyze the stability of the system, we can compare the center of mass of each block relative to its base of support. The block with a higher center of mass is more likely to tip over.
For block A, its center of mass is located at a distance of 0.375 times its length from its base.
For block B, its center of mass is located at a distance of 5 units from its base.
For block C, its center of mass is located at a distance of 0.375 times block A's length from its base.
Comparing the distances, we see that block B has the highest center of mass at 5 units, making it easier to tip over compared to blocks A and C. Thus, in this system, block B is harder to keep stable and more prone to tipping over.
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Let X be a set. Let P be a set of subsets of X such that: • Ø∉P • the union of all sets AEP is X. Note that these are clauses (a) and (c) of the definition of a partition (Definition 1.5). Now define a relation R on the set X by R={(x,y):x∈A and y ∈ A for some A ∈ P), as in Theorem 1.7(b). Which of the following is true? Select one: a. R must be symmetric and transitive but might not be reflexive. b. R must be an equivalence relation, but ( [x]_R : x∈X) might not be equal to P. C. R must be reflexive and transitive but might not be symmetric. d. R must be an equivalence relation, and ( [x]_R: x∈X) must equal P. e. R must be reflexive and symmetric but might not be transitive.
Answers
The following statement (d) "R must be an equivalence relation, and ([x]_R: x∈X) must equal P." is true
The relation R defined as R={(x,y):x∈A and y∈A for some A∈P} is an equivalence relation.
1. Reflexivity: Since the set P does not contain the empty set, Ø∉P, for any element x∈X, there exists a set A∈P such that x∈A. Therefore, (x,x)∈R for all x∈X, making R reflexive.
2. Symmetry: Let (x,y)∈R, which means there exists a set A∈P such that x∈A and y∈A. Since A is a subset of X, it follows that y∈A and x∈A as well. Hence, (y,x)∈R, and R is symmetric.
3. Transitivity: Let (x,y)∈R and (y,z)∈R, which means there exist sets A and B in P such that x∈A, y∈A, y∈B, and z∈B. Since the union of all sets in P is X, the union of A and B is also a set in P. Thus, x∈A∪B, and z∈A∪B. Therefore, (x,z)∈R, and R is transitive.
Since R is reflexive, symmetric, and transitive, it satisfies the properties of an equivalence relation.
Additionally, the equivalence classes ([x]_R: x∈X) of R are equal to the set P. Each equivalence class [x]_R represents a subset of X that contains all elements y∈X such that (x,y)∈R. In this case, for each x∈X, the corresponding equivalence class [x]_R is the set A∈P such that x∈A.
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Math help me out this is tricky man hurry solve both
Answers
Answer:
1) a , b , c , e are ans....
2) a.F b.T c.F d.T
Find the measures of the missing angles
Help pleaseee
Answers
Answer:
Nwm miałem to dawno powodzenia
Give the characterisations for finito, ineinte, denumwable, cos weak then show that 22 is denumerable
Answers
1. Finite: A set is considered finite if it contains a specific number of elements. In other words, a set is finite if you can count its elements and reach a finite number. For example, a set containing {1, 2, 3} is finite because it has three elements.
2. Infinite: A set is considered infinite if it has an uncountable number of elements. This means that the set cannot be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...). For example, the set of all integers {..., -3, -2, -1, 0, 1, 2, 3, ...} is infinite.
3. Denumerable: A set is denumerable (also called countable) if its elements can be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...). In other words, a denumerable set has a countable number of elements. For example, the set of all natural numbers is denumerable.
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Complementary of supplementary? Find the value of x
Answers
Answer: x=6
The two angles shown in each are complementary because they add up to 90°.
10 & 12 would be supplementary to one another because they would add up to 180°.
Step-by-step explanation:
We know that on both 10 & 12 the angles add up to equal 90° so...
10. 8x+7x=90
15x=90
x=6
12. it's the same in pic as 10
The two angles shown in each are complementary because they add up to 90°.
10 & 12 would be supplementary to one another because they would add up to 180°.
Vincent started driving at 45 miles per hour. After he drove 10 miles his friend Bill started driving the same route at a rate of 45 miles per hour. If they continue to drive at the same rate will Bill ever catch up to Vincent?
Answers
Answer: No
Step-by-step explanation: Vincent started 10 miles ahead so Bill will never catch up at this rate
A farmer has 600m of fencing to enclose a rectangular area and divide sections as shown. a) write a equation to express the total area enclosed as a function of the length x. I b) Determine the domain and the range of this area function.
Answers
The domain of the area function is 0 < x ≤ 300, and the range is A > 0. The total area enclosed by a rectangular fence, given a fixed amount of fencing, can be expressed as a function of the length of one side.
The domain and range of this area function depend on the constraints imposed by the amount of fencing available.
a) To express the total area enclosed as a function of the length x, we need to consider that the perimeter of a rectangle is twice the sum of its length and width. Since the farmer has 600m of fencing, we can write the equation:
2x + 2y = 600
Solving for y, we can express it in terms of x:
y = (600 - 2x) / 2
The area of the rectangle is given by the product of its length and width:
A = x * y = x * (600 - 2x) / 2
b) The domain of the area function is determined by the values of x that satisfy the constraints of the problem. Since x represents the length of one side of the rectangle, it must be positive (x > 0). Additionally, the sum of the lengths of all four sides must be less than or equal to the available fencing, which gives us the constraint: 2x + 2y ≤ 600.
The range of the area function represents the possible areas of the enclosed rectangle. Since both x and y are positive, the range is also positive.
Therefore, the domain of the area function is 0 < x ≤ 300, and the range is A > 0.
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a magazine includes a report on the energy costs per year for 32-inch liquid crystal display (lcd) televisions. the article states that 14 randomly selected 32-inch lcd televisions have a sample standard deviation of $3.90. use a 99% level of confidence. (
Answers
We can conclude that with 99% confidence, the true population mean energy cost per year falls between $13.38 and $19.62.
A report in a magazine contains information on energy costs per year for 32-inch liquid crystal display (LCD) televisions. According to the report, a sample of 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.90. Using a 99% level of confidence, the confidence interval for the true population mean energy cost per year can be calculated. A 99% level of confidence indicates that there is only a 1% chance that the true population mean energy cost per year falls outside the interval.Confidence Interval for Mean = $\bar{X}±t_{\frac{\alpha}{2},n-1}\frac{S}{\sqrt{n}}$Where, $\bar{X}$ is the sample mean,S is the sample standard deviation,n is the sample size,t is the critical value of t-distributionα is the level of significancet= 3.71 (using t-distribution table for 99% level of confidence with n - 1 degrees of freedom)Mean = $16.50 ± 3.71 × \frac{3.90}{\sqrt{14}}$=$16.50 ± 3.12$The 99% confidence interval for the true population mean energy cost per year is (13.38, 19.62). Therefore, we can conclude that with 99% confidence, the true population mean energy cost per year falls between $13.38 and $19.62.
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An engineer designs a structure that is is 21 feet long and 3
yards high. What is the ratio of length to height?
Answers
Answer:
7:3
Step-by-step explanation:
Convert one of the measurements to the other before attempting to solve the question.
1 yard = 3 feet
Multiply both sides by 3 to get:
3 yards = 9 feet
Therefore the ratio would be
21:9
Simplify to 7:3 length to height.
Suppose you waited 10 years to invest in the same retirement fund and have the same $400,000 for retirement at the same 8% interest. What amount will you have to deposit each month to match the value of your annuity?
Answers
Answer:
$7,196.42
Step-by-step explanation:
Using the compound interest formula to fins the amount after 10years;
A = P(1+r)^n
Principal P = $400,000
Rate r = 8% = 0.08
Time t = 10 years
Substitute
A = 400,000(1+0.08)^10
A = 400,000(1.08)^10
A = 400,000(2.1589)
A = 863,569.99
A ≈ 863,570
Hence the amount after 10 years is $863,570
Monthly deposit = $863,570/120 (10 years is equivalent to 120months)
Monthly deposit = 7,196.42
Therefore he will have to deposit $7,196.42 into his account monthly
help pleaseee ! whoever’s answers first ill mark as brainylest
Answers
Answer: 4 is i think 0.2 an 5 is 10
Step-by-step explanation:
b=17-12
h=18-14
b=5cm
h=4cm
1cm=0.0328
b=5×0.0328
b=0.164 ft
c=4×0.0328
c=0.131 ft
Give me brainliesst plzzzzz
help will mark brainliest also do u like my green screen?
Answers
Answer:
Cubes in each layer: 6
Number Of Layers: 5
Volume: 30
Point A(4,5) is translated to the left 3 and up 5. What is A'?
Answers
Answer:
(7,10)
Step-by-step explanation:
x=4+3
y=5+5
please help 6th grade math i will give brainliest
Answers
Answer:
8
Step-by-step explanation:
First add all the terms together.
[tex]8+7+5+9+6+13=48[/tex], so the total is 48.
Then you divide the total by the number of terms (which is 6) to get the mean.
[tex]\frac{48}{6}=8[/tex], so the mean is 8.
Gerald’s truck is in need of repairs totaling $3,000. Gerald is considering how he will pay for these repairs.
Answers
Hello again!
Answer:
The correct answer is B. 18 months.
Step-by-step explanation:
I just typed in "credit card payoff calculator" in g00gle, and it should be the first one you see.
That was the website I used to solve this problem. You can use that for other problems you need to solve too.
Hope this helps :)
Principal = $47,300 Rate = 3% Time = 4 months What will the total payment plus interest be?
Answers
Answer:
Simple Interest (I) = Principle * Rate * Time
so I = PRT
P = $47300
R = 3% = 0.03
T = 4months = 0.33years
so
Assuming its per year after 4month
I = (47300)(0.03)(0.333333)
I = 472.999527
I = $473
Now we'd add the interest(I) to the Principle
$47300 + $473 = $47773.00
Assuming it is per month, after 4months
I = PRT
I = (47300)(0.03)(4)
I = $5676.00
Now add the interest to the principle
$47300 + $5676 = $52976.00
Step-by-step explanation:
there you go hope this help