Solve the following system of linear equations using Gaussian Elimination Method with Partial Pivoting. Show all steps of your calculations. 0.5x - 0.5y + z = 1 -0.5x + y - 0.5z = 4 X - 0.5 + 0.5z = 8

Answer:

  a) missing y-values: 4, 8

  b) correct: y-intercept = 1

  c) y = 2^x

Step-by-step explanation:

You complete the table by reading point values from the graph. You have already correctly filled the y-values for x=0 and x=1. The y-value at x=2 is 4. The y-value at x=3 is off the chart, but we expect it to follow the same pattern: it will be 2×4 = 8.

The table values are (x, y) = (0, 1), (1, 2), (2, 4), (3, 8).

__

The y-intercept is the point where the graph crosses the y-axis: (0, 1). You have correctly identified 1 as the y-intercept.

__

The equation for the curve will be an exponential of the form ...

  y = a·b^x

The value of 'a' is the y-intercept: 1.

The value of 'b' is the ratio of successive y-values when x increases by 1.

  b = 2/1 . . . for x=1 and x=0

The equation will be ...

  y = 1·2^x

  y = 2^x . . . . . simplified

Answer: Need better instructions Sorry

Step-by-step explanation:

explanation

Consider one variable as an Independent and give some value and substitute in every

equation, then get new equations in only 3 equations in 3 unknows, if the three

equations have unique solution or no solution. if the equations have unique solution

then the system of given four equations in 3 unknows has infinity solutions (one for every

independent variable value) or

no solution (if the rank of the augmented matrix is not same as the rank of the matrix)

Answer:

The answer is 25.50

Hope this helps!

Answer:

The answer is the first one.

Step-by-step explanation:

Answer:

7. x = 23

Step-by-step explanation:

They are angles on transversals intersecting parallel lines. Also vertical angels are equal to each other.

So for example question 7 you need to use these two things to realize that 4x is the same angle as (3x + 23) so you have to put them in an equation like this

4x = 3x + 23 and then solve it algebraically

Answer:

f(g(x)) = 5(3x + 7)

Step-by-step explanation:

Solving f(g(x))

Answer:

\(f(g(x)) = 3(5x + 7)\)

Step-by-step explanation:

Step 1:  State the eqautions

\(f(x) = 5x + 11\)

\(g(x) = 3x + 2\)

Step 2:  Insert the equation and solve

\(f(g(x)) = 5(g(x)) + 11\)

\(f(3x + 2) = 5(3x + 2) + 11\)

\(f(3x + 2) = 15x + 10 + 11\)

\(f(3x + 2) = 15x + 21\)

\(f(g(x)) = 15x + 21\)

Step 3:  Simplify completely

\(f(g(x)) = 15x + 21\)

\(f(g(x)) = 3(5x + 7)\)

Answer:  \(f(g(x)) = 3(5x + 7)\)

Answer:

25.1cm

Step-by-step explanation:

C=2πr

here radius, r=4 cm and π=3.142

Put values in formula.

C=2(3.142)(4)

C=25.1 cm (Rounded to 1 decimal place)

Answer:

25.1 centimeters

Step-by-step explanation:

Formula to find circumference of a circle is C=2πr

Plug in the given values, 3.142 for π, and 4 for r.

C=2 x 3.142 x 4=25.136 centimeters. Round this to 1 decimal place, so our final answer is 25.1

Answer: Rs.496.13

Step-by-step explanation:

Amount = P (1 + r/100)^t
A = 450 (1 + 5/100)^2
A = 450 x 1.05^2
A = 450 x 1.1025
A = 496.125

Answer:its 5

Step-by-step explanation: cuz

Answer:

135 ft^2

Step-by-step explanation:

50% more than 10 feet is 15 feet;  50% more than 6 feet is 9 feet.

Thus, the area of the new rectangle is 15 times 9 feet squared, or 135 ft^2.

Answer: 33.6% of X = 26800

X = 26800 / 33.6%

   = 26800 / 0.336

  = 33.6%

HOPE THIS HELPS HAVE A AWESOME NIGHT/DAY✨

Step-by-step explanation:

Answer:

2997.2

Step-by-step explanation:

Explanation:

We have to multiply -4 by itself 3 times: (-4)³ = (-4)x(-4)x(-4)

The first time we'll have a positive number, because the product of two negative numbers is a positive number:

Now we just have to solve 16x(-4). The result will be a negative number, because the product between a positive and a negative number is negative:

Answer:

(-4)³ = -64

Answer:

B. 15

Step-by-step explanation:

6×3= 18

18-3= 15

.........

Answer:

15 or B

Step-by-step explanation:

6(3) - 3 = 15

18 - 3 = 15

Answer:

2 years

Step-by-step explanation:

I= PRT/100

I=£30000 x 12 x 1 /100 =£3600

Since the interest for one year is £3600, the interest for two years is £3600x2 =£7200

Answer:

The Temperature at 7PM

Step-by-step explanation:

Answer:

See image

Step-by-step explanation:

You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image

Answer:

2:20

Step-by-step explanation:

This question can be answered by finding the lowest common multiple of 20 and 35, which is 140 minutes and adding this onto 12pm, or by starting at 12pm and going up in 20 minutes and 35 minutes until a matching time of 2:20pm is found.

At t 02:20 pm he will next take both tablets together.

LCM is the least common multiple for two or more than two given numbers.

According to the given question A boy must take a red tablet every 20 minutes and a blue tablet every 35 minutes.

He took both tablets at 12pm now to find in what time he will take this tablets together again means a common time so we will take LCM of the time which are 20 and 35.

LCM of 20 and 35 is 140.

So, After 140 minutes which is 2 hours and 20 minutes he will take those two tables together again.

∴ At 02:20 pm he will next take both tablets together.

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The solution is given below.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

The perimeter of a rectangle is 40 cm. The length is 14 cm.

Let x = width of the rectangle.

Ravi says he can find the width using the equation 2(x + 14) = 40.

Fran says she can find the width using the equation 2x + 28 = 40.

now, we get,

1. Divide both sides by 2

 2(x+14) = 40

 x+14 = 20

2. Isolate the x term by subtracting 14 from both sides

3. x = 6. The width of the triangle is 6 cm.

4. Isolate the x term by subtracting 28 from both sides

 2x + 28 = 40

 2x = 12

5. Divide both sides by 2

6. x = 6

7. The two equations have the same solution, because by the distributive rule, 2(x+14) = 2x+28.

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Using Kepler's Third Law, we can find the distance of the exo-planet from its star. The formula is P^2 = a^3, where P is the orbital period in years and a is the average distance from the planet to the star in astronomical units (AU).

the average distance of Le Grosse Homme from its star is approximately 2 AU, which is answer choice b).

To determine the distance of the exo-planet Le Grosse Homme to the star, we will use Kepler's Third Law, which states that the square of the orbital period (P) of a planet is proportional to the cube of the semi-major axis (a) of its orbit. The formula is given as:

P² = a³

In this case, the orbital period P is 2.8284 years. We can now solve for the semi-major axis (a), which represents the distance from the planet to the star in astronomical units (AU).

Step 1: Square the orbital period
(2.8284)² = 7.99968336

Step 2: Find the cube root of the squared orbital period to get the distance (a)
a = ∛(7.99968336) ≈ 2.0 AU

So, the distance of the exo-planet Le Grosse Homme to the star is approximately 2.0 AU. The correct answer is option (b) ~2.0 AU.

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Step-by-step explanation:

There are FOUR queens in a deck of 52 cards

4/52 chance of selecting a queen =  1/13  chance  = .07692 chance

Answer:

414.857143

Step-by-step explanation:

r=66

=2*66*22/7

=414.857143

The answer of 5 more than 5 is 10.

The answer of 5 more than 5 is 10 which can be derived using simple mathematical calculations.

To find 5 more than 5, you can add 5 to the original number 5.

5 + 5 = 10

It's a simple arithmetic operation where you add a specific number, in this case 5, to the original number.

An arithmetic operation is a mathematical process that combines two or more numbers to produce a new number. The most basic arithmetic operations are addition, subtraction, multiplication, and division.

Addition: It is the process of combining two or more numbers to find their sum. For example, 2 + 3 = 5 is an addition operation.

Subtraction: It is the process of finding the difference between two numbers. For example, 5 - 3 = 2 is a subtraction operation.

Multiplication: It is the process of finding the product of two or more numbers. For example, 3 x 4 = 12 is a multiplication operation.

Division: It is the process of finding the quotient of two numbers. For example, 12 ÷ 3 = 4 is a division operation.

Therefore, The answer of 5 more than 5 is 10.

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(a) The variable educ might be endogenous

(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on) could be used as an instrument for educ in equation

a) The variable instruction might be endogenous because as compensation increases the income expansions which additionally make able to an individual more educating himself. So there is an opportunity for the instruction might be an endogenous variable.

The indigeneity may involve the 32 the coefficient of knowledge as well different variables like married, black, south, urban, etc.

b) There is a substantial high relationship exists between birth order and the status of teaching. it is more possible to have higher schooling with less the order of child-born and the birth order is autonomous of the error term as well with wage. So the variable "birth order" is a good variable to use as an agency for the endogenous variable instruction.

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Answer:

gradient = - \(\frac{1}{5}\)

Step-by-step explanation:

calculate the gradient ( slope ) m of the line using the slope formula.

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 0 ) and (x₂, y₂ ) = (1, - 1 )

m = \(\frac{-1-0}{1-(-4)}\) = \(\frac{-1}{1+4}\) = - \(\frac{1}{5}\)

If line AB is parallel to line CD, that is AB ‖ CD and ∠OAB = 130 ˚ and ∠OCD = 120 ° then the measure of angle AOC or x is equals to the 110°.

We have line AB is parallel to line CD, that is AB ‖ CD. Also, measure of angle A, m∠OAB = 130°.

Measure of angle C, m∠OCD = 120°. Now, draw a line segment, OE bisects the ∠x and parallel to line AB and CD through point O, i.e., AB ‖ CD ‖ OE. So, ∠x = ∠1 + ∠2 --(1)

Line AB is parallel to OE, then

∠OAB + ∠AOE = 180° ( sum of co-interior angles)

=> ∠1 + 130° = 180°

=> ∠1 = 180° - 130°

=> ∠1 = 50°

Similarly, Line CD is parallel to OE, then

∠OCD + ∠COE = 180° ( sum of co-interior angles)

=> ∠2 + 120° = 180°

=> ∠2 = 180° - 120°

=> ∠2 = 60°

From equation (1), ∠x = ∠1 + ∠2

=> ∠x = 50° + 60° = 110°

Hence, required value of x is 110°.

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Complete question:

The above figure completes the question. AB ‖ CD. ∠OAB = 130 ˚ and ∠OCD = 120 ˚. Then the value of x is ?

After scoring 77, 87, and 74 on her previous three tests, Amy needs to score 66 on her next test in order to have an average of 76.

To find the score that Amy needs on her next test to have an average of 76, we need to use the formula for the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)

We know that Amy's current scores are 77, 87, and 74, and we want her average to be 76. Let's call the score she needs on her next test "x".
So, we can plug these values into the formula:
76 = (77 + 87 + 74 + x) / 4

Now, we just need to solve for x:
76 * 4 = 77 + 87 + 74 + x
304 = 238 + x
x = 304 - 238
x = 66

So, Amy needs to score a 66 on her next test in order to have an average of 76.

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Answer:

Yes it is

Step-by-step explanation:

y = -x + 6

y = -3x - 4

(-5,11)

x = -5

y = 11

y = -x + 6

(11) = -(-5) + 6

11 = 5 + 6

11 = 11

y = -3x - 4

(11) = -3(-5) - 4

11 = 15 - 4

11 = 11