The Gauss Seidel method is the fastest convergence method among Gauss elimination, Gauss Jordan, and Gauss Jacobi methods.
The Gauss-Seidel method is an iterative method used to solve linear systems of equations. It is named after German mathematicians Carl Friedrich Gauss and Philipp Ludwig von Seidel. This method uses the value of each variable as soon as it is updated in each iteration. It starts with an initial guess for the solution and then iteratively refines the solution until a desired level of accuracy is reached.
In contrast, the Gauss elimination method and its variants (Gauss Jordan and Gauss Jacobi) are direct methods that involve the manipulation of the entire matrix at once. While these methods can be faster for smaller systems of equations or when parallelized, they may not converge at all for certain matrices or may require a large number of iterations to reach the desired accuracy. Therefore, in general, the Gauss-Seidel method is preferred for solving linear systems of equations due to its faster convergence rate.
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Pls Help me on this problem it is number 19 I have no idea what to do
Answer:
$81.15
Step-by-step explanation:
So to find the total amount of money, you take the original price and add the sales tax.
We need to find the sales tax first, which is telling us to multiply the original price by 0.065.. so lets do that
(79.95)(0.065) = 5.19675
Since we got that answer there, we add that to the original price
$79.95 + $5.19675 = $81.14675
Which rounds to $81.15
There are 16 boys and 19 girls in a class. The teacher calls the
students' names randomly. What is the probability that the first
student called is a boy, the second student is also a boy and
the third student is a girl if the teacher calls the names with no
repetition? Enter your answer as a decimal rounded to the
nearest thousandth.
Answer:
1/12/2121 precent
Step-by-step explanation:
Find the roots of the factored polynomial.
(x - 6)(x - 7)
Write your answer as a list of values separated by commas.
7,6 are the roots of the given equation
THIS IS MY LAST QUESTION, i beg please help!!
Answer:
x - 4
Step-by-step explanation:
The volume V is calculated as
V = lbh
Given 2 of the dimensions
(x - 1)(x - 3) = x² - 4x + 3
Then the third dimension is found by dividing V(x) by x² - 4x + 3
Using long division
x - 4
-----------------------------------------
x² - 4x + 3 | x³ - 8x² + 19x - 12
x³ - 4x² + 3x
-------------------------------------
- 4x² + 16x - 12
- 4x² + 16x - 12
--------------------------------------
0 ← remainder
Thus quotient = x - 4
That is the missing dimension is x - 4
Type the correct answer in the box. Use numerals instead of words. What value of x makes this equation true? -2x + 3 = -15 x =
Answer:
x=9
Step-by-step explanation:
plug in the number 9
-2(9)= -18
-18+3= -15
order from least to greatest 3.2 ,3.14, 19/7, sqrt (14)
Answer: 19/7 ,3.14, 3.2
Step-by-step explanation: Hope this helps Have a brilliant day of learning!
Please please please please please help me I really need this
Answer:
10x² + -18
Step-by-step explanation:
g(f(x)) means you substitute 2x²-5 for every occurrance of x in g(x).
g(f(x)) = 5(2x²-5) + 7 = 10x² - 25 + 7 = 10x² - 18 = 10x² + -18
Leona tracks her calories burned while boxing. The number of calories she burns is expressed by the function c(t) = 425t, where t is the number of hours spent boxing.
To burn more calories, Leona wears heavier gloves while boxing. The number of calories she burns while wearing heavier gloves is expressed by the function b(c) = 1.1c, where c is the number of calories burned while boxing without heavy gloves.
Which of the following composite functions expresses the calories, as a function of time, that Leona burns while boxing with heavy gloves?
c[b(t)] = 467.5t
c[b(t)] = 426.1t
b[c(t)] = 467.5t
b[c(t)] = 426.1t
Answer:
C. b[c(t)] = 467.5t
Step-by-step explanation:
No step-by-step explanation, nobody pays attention to them anyway.
Answer:
the answer is C. b[c(t)] = 467.5t give the person above this answer brainly, they got here first and deserve it.
A box of 15 cookies costs $9.
MY
What is the cost for 1 cookie?
Answer: $0.6
Step-by-step explanation:
15cookies= $9
1 cookie = x
Cross multiply
15x= 9
Divide both sides by 15
x= 9/15= 3/5= $0.6
10. Set up and evaluate the definite integral for the area of the surface generated by revolving the curve a) (3 pts.)y= 6x 3+ 2x1 ,1≤x≤2, about the x-axis; b) (3 pts.) x= 4y−1,1≤y≤4, about the y-axis.
The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:
∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx
To calculate dy/dx, we differentiate the given equation:
dy/dx = 18x^2 + 2
Substituting this back into the integral, we have:
∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx
Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.
b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:
∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy
To calculate dx/dy, we differentiate the given equation:
dx/dy = 4
Substituting this back into the integral, we have:
∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy
Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.
By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.
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ILL GIVE BRAINLIEST
Answer:
I can't read the question it's too blurry
f(x)=5sinx+cosx then f ′
(x)=−5cosx−sinx Select one: True False
False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.
To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).
Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.
Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:
f'(x) = 5cos(x) - sin(x).
This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).
In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).
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Write the number as a power of 5. 125^3
Answer:
5^9
Step-by-step explanation:
125=5*5*5
125^3=125*125*125
125*125*125=3*(5*5*5)
the answer 5^9
The number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.
What is the power rule?The power rule states that, when the term is raised with a power which is again raised by another power, then this can be simply written as one power by multiplying both the power.
It has to write the number 125³ as a power of 5. Let the resultant number as a power of 5 is n. Thus,
\(n=125^3\)
Rewrite the number with multiples of 125.
\(n=(5\times5\times5)^3\\n=(5^3)^3\)
By the power rule, the above expression can be rewritten as,
\(n=(5)^{3\times3}\\n=(5)^{9}\\n=5^9\)
Thus, the number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.
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Evaluate the trigonometric function at the given real number. Write your answer as a simplified fraction, if necessary. f(t)=sin t; t=7π/6
f(7π/6) = ___
To evaluate the trigonometric function f(t) = sin t at t = 7π/6, we substitute t = 7π/6 into the function and calculate the value. The answer will be expressed as a simplified fraction, if necessary.
To evaluate the trigonometric function f(t) = sin t at t = 7π/6, we substitute t = 7π/6 into the function: f(7π/6) = sin(7π/6). The sine function evaluates the ratio of the length of the side opposite the given angle to the hypotenuse in a right triangle. In this case, the angle 7π/6 lies in the third quadrant (between π and 3π/2), where sine is negative.
To find the exact value of sin(7π/6), we can refer to the unit circle. The angle 7π/6 corresponds to a point on the unit circle with coordinates (-√3/2, -1/2) or (-0.866, -0.5). Therefore, f(7π/6) = sin(7π/6) = -1/2.
The value of sin(7π/6) is -1/2, which represents the ratio of the length of the side opposite the angle 7π/6 to the hypotenuse in a right triangle. Thus, f(7π/6) = -1/2.
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can you solve - x/4<7 ?
Answer:
Step-by-step explanation:
how do you solve x for a triangle with 33 and 38 degrees?
Answer:
x=109 degrees
Step-by-step explanation:
so 33+39+x=180 degrees because of sum of angles in a triangle theorem. Then now you solve because of algebra
Just do 33+38+X=180, add 38 and 33 to get 71 then subtract that from 180. X=109
HELPPP THIS IS TIMEDD I NEED A STEO BY STEPP
Answer:
Why do you need a step by step
Step-by-step explanation:
PLEASE HELP ME I REALLH NEED IT
Elin stays on the international space station for 114.1 hours.Of the space station orbits the earth once every 42 minutes.How many times will it orbit the earth during her stay?
Answer:
163 times
Step-by-step explanation:
Let us first find how many minutes she was on the International Space Station:
1 hour = 60 minutes
114.1 hours = 114.1 * 60 = 6846 minutes
The station orbits earth every 42 minutes. Therefore, the number of times the station will orbit the earth during her stay is:
6846 / 42 = 163 times
Consider the following. f(x) = x x - 7, a = 8 Verify that f has an inverse function. Ofis one-to-one O the domain of fis all real numbers O fhas exactly one minimum O the range of fis all real numbers O fhas exactly one maximum Then use the function f and the given real number a to find (t-1)(a). (Hint: Use Theorem 5.9.) (-1)(a) =
To verify whether the function f(x) = \(x^{2}\)- 7 has an inverse function, we need to determine if it is a one-to-one function. An inverse function or an anti function is defined as a function, which can reverse into another function
A function is one-to-one if it passes the horizontal line test, meaning that no two distinct points on the graph of the function have the same y-coordinate. In this case, f(x) = \(x^{2}\)- 7 is a parabolic function that opens upward and has a minimum point. Since the parabola opens upward, it is not one-to-one. Therefore, f(x) = \(x^{2}\) - 7 does not have an inverse function. Now, to find (t-1)(a), we can use Theorem 5.9, which states that if a function f has an inverse function g, then f(g(x)) = x for every x in the domain of g. Since f does not have an inverse function, we cannot directly use this theorem. Hence, we cannot find (t-1)(a) using the given function f and the real number a because f does not have an inverse function.
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The student council has $100 to spend on decorations for the school dance. If streamers cost $3. 50 per roll and balloons cost $0. 75 each, write an inequality that represents the number of streamers x and balloons y the student council can buy.
The inequality that represents the number of streamers x and balloons y the student council can buy is given as follows:
3.50x + 0.75y ≤ 100.
How to model the inequality?Each streamer costs $3.50, hence the total cost of purchasing x streamers is given as follows:
3.5x.
Each balloon costs $0.75, hence the total cost of purchasing y balloons is given as follows:
0.75y.
Then the total cost of purchasing x streamers and y balloons is given as follows:
3.50x + 0.75y.
The amount spent can be of at most $100, hence the inequality is given as follows:
3.50x + 0.75y ≤ 100.
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The manufacturer's recommendation correct inflation range is 30 psi 34 psi. assume the tires' average psi is on target. if a tire on the car is inspected at random, what is the probability that the tire is within the recommended range?
The probability that a randomly inspected tire is within the recommended range is 1 or 100%. This means that every tire in the car should be within the recommended range, assuming the average psi is on target.
The manufacturer's recommended correct inflation range for the tire is between 30 psi and 34 psi. If we assume that the average psi of the tires is on target, we can calculate the probability that a randomly inspected tire is within the recommended range.
To calculate this probability, we need to know the total range of psi values that a tire can have. Since the recommended range is from 30 psi to 34 psi, the total range would be 34 psi - 30 psi = 4 psi.
Now, we need to determine how many values within this total range are considered within the recommended range. In this case, any psi value between 30 psi and 34 psi (inclusive) is within the recommended range.
Therefore, the probability of a randomly inspected tire being within the recommended range can be calculated as follows:
Number of values within the recommended range / Total range of values Since there are 4 psi values within the recommended range and the total range is 4 psi, the probability would be:
4 psi / 4 psi = 1
So, the probability that a randomly inspected tire is within the recommended range is 1 or 100%.
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Match each expression with its value. −9 7 −2 Undefined h( 3.999 ) h(4) h(4.0001) h(9)
The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.
Let's match each expression with its corresponding value:
Expression: -9
Value: -9
Expression: 7
Value: 7
Expression: -2
Value: -2
Expression: Undefined
Value: Undefined
Expression: h(3.999)
Value: Undefined
Expression: h(4)
Value: 8
Expression: h(4.0001)
Value: Undefined
Expression: h(9)
Value: Undefined
Now let's explain the reasoning behind each value:
The expression -9 represents the number -9, so its value is -9.
Similarly, the expression 7 represents the number 7, so its value is 7.
The expression -2 represents the number -2, so its value is -2.
When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.
For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.
The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.
Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.
Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.
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Use the eccentricity of the ellipse to find its equation in standard form.
Eccentricity 4/5, major axis on thr x-axis and the length of 10, center at (0,0)
2. Use the cofunction identity to write an equivalent expression for the given value
sin25°
The equation of the ellipse in standard form is x²/25 + y²/9 = 1.
The eccentricity of an ellipse is given by the equation e=c/a. where e is the eccentricity, c is the distance between the center and focus of the ellipse and a is the length of the major axis.
Given, the eccentricity of the ellipse is 4/5 and the major axis is on the x-axis and the length is 10, and the center at (0,0).
The formula for the standard form of the equation of an ellipse whose center is at the origin is x²/a² + y²/b² = 1,where a and b are the semi-major and semi-minor axes of the ellipse respectively.
So the eccentricity is given as 4/5 = c/a, where c is the distance between the center and focus and a is the semi-major axis of the ellipse.
Since the major axis is on the x-axis and center at (0,0), the distance between center and focus is
\(c = a * e = 4a/5\).
The length of the major axis is given as 10, so the semi-major axis is
a = 5.
Therefore, the distance between center and focus is
c = 4×a/5 4
= 4*5/5
= 4.
The semi-minor axis b can be found using the formula,
b = √(a² - c²)
= √(5² - 4²)
= 3.
The equation of the ellipse in standard form can now be written as
x²/25 + y²/9 = 1.
In order to find the equation of an ellipse in standard form, we need to know the length of the major axis and eccentricity. The eccentricity of the ellipse is given as 4/5, and the length of the major axis is 10.
Since the major axis is on the x-axis and the center is at (0,0), we can use the standard form of the equation of the ellipse, x²/a² + y²/b² = 1, where a and b are the semi-major and semi-minor axes of the ellipse, respectively.
Using the formula for eccentricity, we can find the value of c, which is the distance between the center and focus of the ellipse.
Once we know the values of a, b, and c, we can write the equation of the ellipse in standard form
The equation of the ellipse in standard form is x²/25 + y²/9 = 1.
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A number is the same as 16 less than 3 times itself. What is the number?
Answer:
-8
Step-by-step explanation:
-8 x 3 = -24
-24 is 16 units less than -8
Determined three ways have a total cost of six dollars each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.
The cost of the apples is 2.9 dollars.
The cost of the bananas is 5.7 dollars.
How to find the number of fruits bought?The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.
Therefore,
let
x = number of apples
y = 2x
where
y = number of bananasTherefore, using equations,
1.5(x) + y(0.30) = 6
Hence,
where
y = 2x
1.5(x) + 2x(0.30) = 6
1.5x + 0.6x = 6
2.1x = 6
divide both sides by 2.1
x = 6 / 2.1
x = 2.9 dollars
y = 2(2.9) = 5.7 dollars
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i really need the help with this multiple choice question for geometry.
Answer:
A. 50°
Step-by-step explanation:
The external angle ACB created by tangents CA and CB is the supplement of arc AB it intercepts.
∠ACB = 180° -AB
∠ACB = 180° -130°
∠ACB = 50°
in the _____ theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.
The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.
The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.
According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.
Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.
The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
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Jane matthew and sara each have 3 cards.The numbers on each child's card add upto 100. What numbers could they have, if each numbers is in tens?Each child has a different set of cards
Answer:
each child has a diffrent set
Step-by-step explanation:
Write an equation
Eight times the sum of m and 7 is 21
Answer:
the equation would be 8(m+7)=21