Gauss elimination method 2x+2y+z=12,3x+2y+2z=8,5x+10y-8z=10

Answer:

10 units

Step-by-step explanation:

this is right answer

Answer: I don't know, sorry!

Step-by-step explanation:

The end behavior of the function is x tends to infinity and the limit is 1.

The end behavior of a function, abbreviated as, is the behavior of the function graph at the edges of the x-axis.

In other words, if we examine the left end of both the x-axis (as x approaches and the short edge of the x-axis (as x approaches +), the behavior of a function at its end matches the trend of the graph.

Consider this graph of the polynomial function as an example. As you switch on the x  axis, pay attention to how the graphs increase. This indicates that as x increases, the left parenthesis, and x, the right parenthesis, also increase the equation of the function.

The following equation is expressed mathematically:

the given function is

y=x/(2x+1)

So for the limits we can see that when x tends to infinity then the value of y is 1.

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Answer:

24 kg

Step-by-step explanation:

The median can be found by putting the numbers in order and then finding the middle value.

In order from least to greatest:

19, 22, 24, 27, 28

24 is the middle value

So, 24 kg is the median.

Answer:

24 kg

Step-by-step explanation:

The median is the number in the middle of the data set. To find the median, arrange the numbers from least to greatest, then locate the middle number.

1. Arrange the numbers from least to greatest

Numbers: 22 kg, 24 kg, 28 kg, 19 kg, 27 kg

Least to greatest: 19 kg, 22 kg, 24 kg, 27 kg, 28 kg

2. Locate the middle number

Cross one number off each end of the set until the middle is reached.

19 kg, 22 kg, 24 kg, 27 kg, 28 kg

Cross off 19 and 28

22 kg, 24 kg, 27 kg

Cross off 22 and 28

24 kg

The middle number has been reached.

median= 24 kg

The median of the measurements is 24 kilograms.

Answer:

54 degrees

Step-by-step explanation:

Since we know that the angles are supplementary, we can set them to be equal to 180 degrees when combined.

(7x+14) + (5x-26)=180

Drop the parentheses.

7x+14+5x-26=180

Combine like terms.

12x-12=180

Add 12 to both sides.

12x=192

Divide both sides by 12.

x=16

Since the question asks for the measure of angle B, we need to plug x back into that expression to find its measure.

5(16)-26

80-26

54

Angle B has a measure of 54 degrees.

HTH :)

Answer:

mb = 30

Step-by-step explanation:

i got it from me school

Answer:

Angle C = 90°

a = 15sqroot3

b = 15

Step-by-step explanation:

Solve a triangle means to find all the angles and all the sides.

Angle C must be 90° because all the angles of a triangle add up to 180°.

That makes this a 30°-60°-90° triangle so there are SHORTCUTS to finding the sides so you don't have to use trig or pythagorean thm.

SHORTCUT:

The shortest side is half the longest side. (The short leg is half the hypotenuse) and/or the longest side is twice the shortest side.

SHORTCUT:

The long leg is the shortleg•sqroot3

(advanced mode: the shortleg is the longleg/sqrt3)

So for your problem, the hypotenuse is 30, so the short leg is 15. And that makes the long leg 15sqrt3. See image.

Answer:

the measure of EF is 4cm

I hope this help

Answer: 27

Step-by-step explanation:

\(XY+YZ=XZ\\\\3a+14=5a-4\\\\14=2a-4\\\\18=2a\\ \\ a=9\\\\\implies XY=3(9)=27\)

Answer:

Exact Distance = \(\frac{4\sqrt{10}}{5}\)

Approximate Distance = 2.529822

============================================

Explanation:

This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.

First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.

Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.

For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.

Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.

So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get

3x-y = 3(-3)-2 = -9-2 = -11. So D = -11

The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.

At this point, we have this system of equations

x+3y = 11

3x-y = -11

Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)

The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)

The distance you should get is \(\frac{4\sqrt{10}}{5} \approx 2.529822\)

I'm skipping steps because listing everything out would take up way too much space in my opinion.

--------------------------------------------------------

The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.

Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below

\(d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\)

In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.

Also, we'll use (m,n) = (-3,2) which are the coordinates of point H

From here it's a fairly straightforward computation

\(d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\\)

Optionally we can rationalize the denominator like so

\(d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\\)

There are different ways to write down the answer, but they all represent the same number.

Answer:

260 square centimeters

Step-by-step explanation:

The formula for the area of a parallelogram is:

b x h

Where the base (b) is multiplied by the height (h) perpendicular to it.

The base here is 20 cm

The height perpendicular to the base is 13 cm

20 x 13 = 260

Or you can decompose and rearrange it into a rectangle. You will get 20 cm as the length and 13 cm as the width. The answer will be just the same!

Hope this helps!

Answer: 260 cm²

Step-by-step explanation: A parallelogram is a

quadrilateral with two pairs of parallel sides.

The formula for the area of a parallelogram is A = bh.

Since the base of the parallelogram is 20 cm and the height

of the parallelogram is 13 cm, we can plug this information into the formula

to get (20 cm)(13 cm) which gives us 260 cm².

So the area of the parallelogram shown is 260 cm².

Answer:

f(x) = 4x    1 < x ≤ 6

f(x) = 2.50x  x > 6

(Also see image attached)

Step-by-step explanation:

The function f(x) is the cost for x hours of whatever work

Considering the 3 rows of the table, the first row has already been filled in and it states that if the number of hours is one or less, the cost is 0

We have to fill in the rest

2nd to sixth hour is 4 per hour so this can be represented as

f(x) = 4x     1 < x ≤ 6
Essentially this states that if the number of hours is more than 1, the cost is $4 per hour pro-rated if necessary)

For the last row we have
f(x) = 2.50x    x > 6

Note that the tricky part here is trying to figure out when the second hour starts. The second hour starts immediately after passage of exactly one hour Thus if the total time worked is 1 hour and 15 minutes, you will still be charged for the 15 minutes over and above the first hour is $4 per hour. That means you will be charged for 15 minutes which is 1/4th of the second hour and this will cost you $1

Answer:

on the grap x,y by using graph tranformation

The two independent groups are the King Salmon from Lake Michigan and Lake Superior. The t-test will allow the researchers to analyze the weight data from each lake and determine if there is enough evidence to conclude that the mean weight of King Salmon from Lake Michigan is significantly different from the mean weight of King Salmon from Lake Superior.

To determine whether Lake Michigan King Salmon weigh less than those from Lake Superior, the appropriate statistical test to use would be an independent samples t-test.

The independent samples t-test is used to compare the means of two independent groups to determine if there is a significant difference between them. In this case, the two independent groups are the King Salmon from Lake Michigan and Lake Superior. The t-test will allow the researchers to analyze the weight data from each lake and determine if there is enough evidence to conclude that the mean weight of King Salmon from Lake Michigan is significantly different from the mean weight of King Salmon from Lake Superior.

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The diameter of each round pizza should be approximately d ≈ 2r ≈ 39.6

Rounding to the nearest tenth, we get a diameter of 39.6 cm.

The rectangular pizza has an area of:

35 cm x 70 cm = 2450 \(cm^2\)

Dividing the area by 24 gives us the area of each square piece:

\(2450 cm^2 / 24 = 102.08 cm^2\)

For the round pizzas, each slice is a sector of the circle, and the area of each sector is given by:

\(A = (θ/360)\pi r^2\)

where θ is the angle of the sector in degrees, and r is the radius (half the diameter) of the circle.

Since each round pizza is cut into 12 slices, each slice covers an angle of:

θ = 360/12 = 30 degrees

We want the area of each slice to be equal to the area of each square piece from the rectangular pizza, which is 102.08 \(cm^2\). Therefore, we can set up the equation:

\((30/360)\pi r^2 = 102.08\)

Simplifying, we get:

\(\pi r^2/12 = 102.08\)

\(\pi r^2 = 1224.96\)

\(r^2\) ≈ 391.2

r ≈ 19.8

Therefore, the diameter of each round pizza should be approximately:

d ≈ 2r ≈ 39.6

Rounding to the nearest tenth, we get a diameter of 39.6 cm.

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Answer:

Work shown below!

Step-by-step explanation:

\(y=mx+b\\y=-6x+\frac{8}{3}\)

Answer:

answer is below

Step-by-step explanation:

y= -6x 8/3

======================================================

Explanation:

The x coordinates of the two points are -6 and 4. They add to -6+4 = -2. Cut this in half to get -2/2 = -1.

The y coordinates of the two points are 3 and 9. They add to 3+9 = 12. Cut this in half to get 12/2 = 6.

The midpoint formula is

\(\left(x_m, y_m) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\)

In short, you add the corresponding coordinates and then divide by 2.

Answer: The perimeter is 10.1415925, which you can round down to 10, or leave it as is.

The hourly pay before the increase for marta and khalid is 21 and 17.5.

Given:

the ratio of martas hourly pay to khalids hourly pay is 6:5 both marta and Khalid get an increase of 1.50 in their hourly pay The ratio of Martas hourly pay to Khalid hourly pay after this increase is 13:11

Let x and y be the hourly pay before increase

x/y = 6/5

x = 6/5*y

x + 1.50 / y + 1.50 = 13/11

11(x+1.50) = 13(y+1.50)

11x + 16.5 = 13y + 19.5

11(6/5*y) = 13y + 19.5 - 16.5

66y/5 = 13y + 3.5

66y - 13*5y / 5 = 3.5

66y - 65y = 17.5

y = 17.5

x = 6/5*17.5

= 105/5

x = 21

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The sixth decile for the given test scores is 82.

To find the sixth decile, we first need to find the corresponding percentile. The sixth decile represents the 60th percentile, meaning 60% of the data falls below this value.

First, we need to find the total number of data points:

n = 30

Next, we need to find the rank of the 60th percentile:

Rank = (60/100) * n

= 0.6 * 30

= 18

Now we need to find the corresponding value for the 18th rank. To do this, we need to sort the data in ascending order:

44 56 58 62 64 64 70 72 72 72 74 74 75 78 78 79 80 82 82 84 86 87 88 90 92 95 96 96 98 100

The value at the 18th rank is 82, which is the sixth decile for this dataset.

Therefore, the sixth decile for the given test scores is 82. Counting from the smallest value, we can see that the 18th value is 82.

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f(n) = ϴ(g(n)) is not true in cases B(sqrt(n)log(n), C(\(3^n 5^n\)), and D(sin(n)+3 cos(n)+1).

A) \(log(n^200) log(n^2)\)

Here, f(n) = \(log(n^200)\) and g(n) = \(log(n^2)\). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([log(n^200) / log(n^2)]\) = 100

This means that as n approaches infinity, the ratio f(n) / g(n) is constant, and so we can say that f(n) = ϴ(g(n)). Therefore, f(n) = ϴ(g(n)) is true in this case.

B) sqrt(n) log(n) Here, f(n) = sqrt(n) and g(n) = log(n). Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sqrt(n) / log(n)]

As log(n) grows much slower than sqrt(n) as n approaches infinity, this limit approaches infinity. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

C) 3^n 5^n

Here, f(n) = \(3^n\) and g(n) = \(5^n\) . Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = \([3^n / 5^n]\)

As \(3^n\) grows much slower than \(5^n\) as n approaches infinity, this limit approaches zero. Therefore, we cannot say that f(n) = ϴ(g(n)) is true in this case.

D) sin(n) + 3 cos(n) + 1

Here, f(n) = sin(n) + 3 and g(n) = cos(n) + 1. Now, if we take the limit of f(n) / g(n) as n approaches infinity, then:

f(n) / g(n) = [sin(n) + 3] / [cos(n) + 1]

As this limit oscillates between positive and negative infinity as n approaches infinity, we cannot say that f(n) = ϴ(g(n)) is true in this case.

Therefore, f(n) = ϴ(g(n)) is not true in cases B, C, and D.

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The main task for members during the final session is to put into words what has transpired from the first to the final session.

The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.

Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.

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Answer:

  $5535.00

Step-by-step explanation:

You want the cost to produce 10 more units if 8 are being produced and the marginal cost function is c'(x) = 0.375x² -x +500.

The cost is the integral of the marginal cost. If we want 10 more units than the 8 being produced, the total cost for those units will be the definite integral of the marginal cost function from 8 to (8+10) = 18.

The attachment shows that integral to have a value of 5535.

The cost to produce 10 more units is $5535.00.

__

Additional comment

Many graphing calculators can do the numerical integration for you. The integral of the function is ...

  C(x) = x³/8 -x²/2 +500x

The cost of interest is C(18) -C(8).

Answer:

simple interest=371.25

Step-by-step explanation:

1500×8.25%×3

=123.75×3

=371.25

Answer:

371.25

Step-by-step explanation:

interest = principal x rate (expressed as a decimal, annual) x time (years)

our principal is 1500, and 8.25% as a decimal is 0.0825, and then its 3 years, multiply that all up and that equals 371.25

Answer:

x = 2

Step-by-step explanation:

12x - 3 = 5x + 11

Add 3 to both sides;

12x = 5x + 14

Subtract 5x from both sides;

7x = 14

Divide both sides by 7

x = 2

FYI, there's nothing like a 19.00 GPA

Answer:

answers highlighted in yellow, hope this helps!

Step-by-step explanation:

Hello!

The statement is true.

Zeros following non-zero digits in a number are not significant.

Example:

48,000

It's tempting to say that this number has 5 significant digits; however, it only has 2 (4 and 8)

Hence, the statement is true. Hope it helps. Do ask me if you have any question.

~An excited gal

\(MagicalNature\) here to help

The matrix can be diagonalized, and the correct choice is B. For P= ⎡⎣​3−110​11​⎤⎦, D= ⎡⎣​393​000​⎤⎦.

To diagonalize a matrix, we need to find its eigenvectors and use them to construct a matrix P, where the columns of P are the eigenvectors. The diagonal matrix D is formed by placing the eigenvalues on the diagonal.

First, we find the eigenvalues λ by solving the characteristic equation det(A - λI) = 0, where A is the given matrix and I is the identity matrix. By calculating the determinant, we have (33 - λ)(9 - λ) - (-3)(18) = 0, which simplifies to λ^2 - 42λ + 315 = 0. Solving this quadratic equation gives λ = 3 and λ = 9.

Next, we find the corresponding eigenvectors. For λ = 3, we solve the equation (A - 3I)v = 0, where v is the eigenvector. This leads to the eigenvector v = ⎡⎣​3−110​⎤⎦. For λ = 9, we solve (A - 9I)v = 0, which gives v = ⎡⎣​11​1​⎤⎦.

We construct matrix P by using the eigenvectors as columns: P = ⎡⎣​3−110​11​⎤⎦. The diagonal matrix D is formed by placing the eigenvalues on the diagonal: D = ⎡⎣​393​000​⎤⎦.

Therefore, the correct choice is B. For P= ⎡⎣​3−110​11​⎤⎦, D= ⎡⎣​393​000​⎤⎦.

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Answer:

Answer= -4 hope it helps

Answer:

10

Step-by-step explanation:

Answer:10

Step-by-step explanation:

10 because there are 4 cups in each quart.