STATE IF THE TRIANGLE IS A RIGHT TRIANGLE
(PLZ SHOW WORK I NEED HELP)
I WILL MARK BRAINLIEST

Answer:

x = 12/7

Step-by-step explanation:

You put:                         What you should have had is:

13x - 3y = 12                   13x - 3y = 12

- x + 3y = 12                    + x + 3y = 12

Now that we have that, we can do

14x = 24

Than, divide 24 by 14

x = 24/14

which we can simplify by dividing both by 2

x = 12/7

We can't simplify it down anymore, so this is our answer.

To find the mean of the grouped data, we need to calculate the weighted average of the midpoint values of each class interval, using the frequencies as weights.

Let's assume the frequency distribution is as follows:

Class Interval       Frequency

0-5                         12

5-10                  18

10-15                 24

15-20                20

20-25                 16

To find the mean, we follow these steps:

Calculate the midpoint value for each class interval. The midpoint is the average of the lower and upper boundaries of the interval.

Midpoint of 0-5: (0 + 5) / 2 = 2.5

Midpoint of 5-10: (5 + 10) / 2 = 7.5

Midpoint of 10-15: (10 + 15) / 2 = 12.5

Midpoint of 15-20: (15 + 20) / 2 = 17.5

Midpoint of 20-25: (20 + 25) / 2 = 22.5

Multiply each midpoint value by its corresponding frequency.

For the midpoint 2.5, the frequency is 12, so the product is

2.5 * 12 = 30.

For the midpoint 7.5, the frequency is 18, so the product is

7.5 * 18 = 135.

For the midpoint 12.5, the frequency is 24, so the product is

12.5 * 24 = 300.

For the midpoint 17.5, the frequency is 20, so the product is

17.5 * 20 = 350.

For the midpoint 22.5, the frequency is 16, so the product is

22.5 * 16 = 360.

Sum up all the products: 30 + 135 + 300 + 350 + 360 = 1175.

Sum up all the frequencies: 12 + 18 + 24 + 20 + 16 = 90.

Finally, divide the sum of the products by the sum of the frequencies to find the mean:

Mean = 1175 / 90

≈ 13.056

Therefore, the mean of the grouped data is approximately 13.056 (rounded to two decimal places

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The optimal solution for the given linear programming problem is z = 2, x₁ = 0, x₂ = 2, x₃ = 0, x₄ = 6, x₅ = 2, x₆ = 0 and x₇ = 0.

To solve the given linear programming problem using the simplex method, we need to convert it into standard form. The standard form of a linear programming problem involves introducing slack, surplus, and artificial variables as necessary.

The original problem is:

Minimize z = x₁ + 2x₂ + 3x₃ - x₄

Subject to:

2x₁ - x₂ + x₃ - 2x₄ ≤ 6

-x₁ + 2x₂ + x₃ + x₄ ≤ 8

2x₁ + x₂ + x₃ + x₄ ≥ 2

0 ≤ x₁ ≤ 3

1 ≤ x₂ ≤ 4

0 ≤ x₃ ≤ 2

2 ≤ x₄ ≤ 5

To convert the problem into standard form, we introduce slack variables and convert inequalities to equations:

Minimize z = x₁ + 2x₂ + 3x₃ - x₄

Subject to:

2x₁ - x₂ + x₃ - 2x₄ + x₅ = 6

-x₁ + 2x₂ + x₃ + x₄ + x₆ = 8

2x₁ + x₂ + x₃ + x₄ - x₇ = 2

x₁, x₂, x₃, x₄, x₅, x₆, x₇ ≥ 0

0 ≤ x₁ ≤ 3

1 ≤ x₂ ≤ 4

0 ≤ x₃ ≤ 2

2 ≤ x₄ ≤ 5

Now we can set up the initial simplex tableau:

   BV   x₁   x₂   x₃   x₄   x₅   x₆   x₇   RHS

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

  x₅    2   -1    1   -2    1    0    0    6

  x₆   -1    2    1    1    0    1    0    8

  x₇    2    1    1    1    0    0   -1    2

Next, we perform iterations of the simplex method until we reach the optimal solution. The iteration process involves finding the entering variable, the leaving variable, and updating the tableau.

Iteration 1:

Entering variable: x₂ (the most negative coefficient in the objective row)

Leaving variable: x₆ (minimum ratio test)

Pivot on row 2, column 3:

   BV   x₁   x₂   x₃   x₄   x₅   x₆   x₇   RHS

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

  x₅    2    0    1   -2   -1    1    0    2

  x₂   -0.5   1    0    0    0.5 -0.5  0    2

  x₇    1    0    0    1   -1    1    -1   6

Iteration 2:

Entering variable: x₃ (the most negative coefficient in the objective row)

Leaving variable: x₇ (minimum ratio test)

Pivot on row 3, column 4:

   BV   x₁   x₂   x₃   x₄   x₅   x₆   x₇   RHS

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

  x₅    2    0    1   -2   -1    1    0    2

  x₂   -0.5   1    0    0    0.5 -0.5  0    2

  x₄    1    0    0    1   -1    1    -1   6

The tableau is now in its final form, and we have reached the optimal solution:

z = 2

x₁ = 0

x₂ = 2

x₃ = 0

x₄ = 6

x₅ = 2

x₆ = 0

x₇ = 0

Therefore, the optimal solution for the given linear programming problem is:

z = 2

x₁ = 0

x₂ = 2

x₃ = 0

x₄ = 6

x₅ = 2

x₆ = 0

x₇ = 0

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Answer:

Substitution

Step-by-step explanation:

You would solve this system using the substitution method as one of the variables are define.

In other words y = x + 3 defines y with the expression "x + 3" and we are easily able to substitute this into the other equation for y and solve of x.

Answer:

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

Find each area and then find their difference.

The difference is:

Answer:

The salesperson will get $27.23

Step-by-step explanation:

Given that:

Commission of salesperson = 5.5% of selling price

Selling cost of couch = $495

Commission amount = 5.5% of 495

Commission amount = \(\frac{5.5}{100}*594\)

Commission amount = 0.055 * 495

Commission Amount = $27.23

Hence,

The salesperson will get $27.23

x=-.7+1.8734994i  and x=-.7-1.8734994i

Step-by-step explanation:

2x+5x² +7x+10+6+4+-2x=(5x²)+(2x+7x-2x)+(10+6+4)=5x²+7x+20

quadratic equation

x=(-b±√(b²-4ac))/2a

where a=5, b=7, c=20

x=(-7±√(7²-4(5)(20)))/(2(5))

x=(-7±√((49-400))/10

x=(-7±√(-351))/10

x=(-7±18.734994i)/10

x=-.7+1.8734994i  and x=-.7-1.8734994i

Answer:

i believe its 5+n ≤ -7

Step-by-step explanation:

the sum of 5 and a number(n) would be 5+n, and no more woukd be the  ≤  sign, which would lead to -7

Answer:

30-(-15)-40

=5

Step-by-step explanation:

You will the subtraction sign to open the bracket

30-(-15)-40

when - and - meet it turns to + (note only happens when opening a bracket)

this is ur result....30+15-40=5

thats how u get your 5

Total factor productivity. This term refers to the ratio of an organization's outputs to all of its inputs, including labor, capital, and other resources. This measurement is used to determine how efficiently an organization is using its resources to produce its desired outcomes.

An explanation of the other options is as follows:

- B. Total labor productivity refers only to the output of an organization divided by its labor inputs.
- C. Partial productivity measures the output of an organization relative to a single input factor, such as labor or capital.
- D. Total capital productivity measures an organization's output relative to its capital inputs.
- E. Efficiency ratio is a broader term that can refer to any ratio that measures an organization's efficiency in achieving its goals, but it does not specifically refer to the ratio of outputs to inputs.

total factor productivity is the most appropriate answer to the question as it measures the overall efficiency of an organization in using all of its resources to achieve its goals.

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The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

Answer:

We have ;

4x^2a( 3x^2 + 2a)

Step-by-step explanation:

Here, we want to factorize the given polynomial

12x^4a + 8x^2a^2

Factoring out 4x^2a ; we have

4x^2a ( 3x^2 + 2a)

Answer: 5 coconuts

Step-by-step explanation:

There are 60 minutes in 1 hour

300/60=5

Answer:

5

Step-by-step explanation:

300/60= 5 per min

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

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Answer:

9/2

Step-by-step explanation:

Let's use the points (2,9) and (4,18).

Our formula is this:

           (y2-y1) / (x2-x1)

So, we plug in our values:

(18-9) / (4-2)

Then subtract what's in the parentheses! After subracting, we get this:

(9) / (2)

So your slope/answer is 9/2.

Answer:

C

Step-by-step explanation:

Answer:

3/32

Step-by-step explanation:

The balance in the account after 7 years would be $1,596,677.14 (approx)

Interest Rate (r) = 9.95% compounded monthly

Time (t) = 7 years

Number of Compounding periods (n) = 12 months in a year

Hence, the periodic interest rate, i = (r / n)

use the formula for calculating the compound interest, which is given as:

\(\[A = P{(1 + i)}^{nt}\]\)

Where, P is the principal amount is the time n is the number of times interest is compounded per year and A is the amount of money accumulated after n years. Since the given interest rate is compounded monthly, first convert the time into the number of months.

t = 7 years,

Number of months in 7 years

= 7 x 12

= 84 months.

The principal amount is equal to the last 6 digits of the student ID.

\(A = P{(1 + i)}^{nt}\)

put the values in the formula and calculate the amount accumulated.

\(A = P{(1 + i)}^{nt}\)

\(A = 793505{(1 + 0.0995/12)}^{(12 * 7)}\)

A = 793505 × 2.01510273....

A = 1,596,677.14 (approx)

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Answer:

- 9n³ + n - 6

Step-by-step explanation:

(- n³ - 8n - 6) + (- 8n³ + 9n)

since both parenthesis are being distributed by 1 , remove the parenthesis

= - n³ - 8n - 6 - 8n³ + 9n ← collect like terms

= (- n³ - 8n³) + (- 8n + 9n) - 6

= - 9n³ + n - 6

It would take approximately 6 minutes to travel through the thickest oceanic crust at a speed of 100 km/hr.

To determine the time it would take to travel through the thickest oceanic crust at a speed of 100 km/hr, we need to know the thickness of the oceanic crust.

The oceanic crust is the outermost layer of the ocean floor and is generally thinner than the continental crust. On average, the thickness of the oceanic crust ranges from 5 to 10 kilometers (km). However, the thickness can vary depending on the specific location and geological factors.

Assuming we consider the thickest part of the oceanic crust, which could be up to 10 km thick, we can calculate the time it would take to travel through it at a speed of 100 km/hr.

Using the formula Time = Distance / Speed, we can determine the time as follows:

Time = (Thickness of Oceanic Crust) / (Speed)

Time = 10 km / 100 km/hr = 0.1 hr

Converting 0.1 hour to minutes, we have:

Time = 0.1 hr * 60 min/hr = 6 minutes

The correct answer is D. 6 minutes. This calculation is based on the assumption that we are considering the thickest part of the oceanic crust, which is approximately 10 km thick. It's important to note that the actual thickness of the oceanic crust can vary, and the time required would depend on the specific thickness encountered during the journey.

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The equation of the axis of symmetry for the given function is x = 1.

To find the equation of the axis of symmetry for the function f(x) = -4x² + 8x - 28, we can use the formula:

x = -b / (2a)

where "a" and "b" are coefficients in the quadratic equation ax² + bx + c.

In this case, a = -4 and b = 8. Plugging these values into the formula, we get:

x = -8 / (2*(-4))

x = -8 / (-8)

x = 1.

The axis of symmetry for a quadratic function in the form of \(f(x) = ax^2 + bx + c\)  can be found using the formula x = -b / (2a).

In the case of the given quadratic function f(x) = -4x² + 8x - 28, the coefficient of \(x^2\) is a = -4 and the coefficient of x is b = 8.

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The missing word is "economic." Communities change with negative or positive effects in response to new developments in social, political, and economic realms.

These changes can have profound impacts on the fabric of a community, shaping its dynamics, values, and opportunities. Social developments, such as shifts in cultural norms, technological advancements, or demographic changes, can bring about both positive and negative effects. They can foster inclusivity, diversity, and social progress, but they can also lead to social divisions, inequality, or cultural tensions within a community. Political developments, such as policy changes, governance structures, or shifts in power dynamics, can significantly impact a community. Positive political developments, like democratic reforms or improved representation, can enhance community engagement and decision-making processes. Conversely, negative political developments, such as corruption, authoritarianism, or marginalization, can erode trust, hinder progress, and create social unrest.

Economic developments, including changes in industries, employment opportunities, or economic policies, can shape the prosperity and well-being of a community. Positive economic developments, such as job creation, investments in infrastructure, or sustainable economic growth, can improve living standards and provide opportunities for community members. However, negative economic developments, such as recessions, job losses, or income disparities, can lead to social and economic challenges, affecting livelihoods, access to resources, and overall community well-being.

It is crucial for communities to navigate these changes and proactively address the negative effects while leveraging the positive ones. Through collaboration, inclusivity, and responsive governance, communities can harness the potential of social, political, and economic developments to create more resilient, equitable, and thriving environments for their members.

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Answer:

2 hours

Step-by-step explanation:

Answer:

About 2.5 hours

Step-by-step explanation:

divide 130 by 52 = 2.5

The value of the numerical expression 1 x 10,000 + 7 x 1,000 + 4 x 100 + 0 x 10 + 2 x 1 will be 17,402.

The outcome of the expression corresponds to the outcome of the computation it represents when the pertinent elements and fundamental operations of a mathematical model are assigned values.

Making something a little less complicated while also making it simpler to accomplish or understand is the concept of easiness.

The numerical expression is written below.

⇒ 1 x 10,000 + 7 x 1,000 + 4 x 100 + 0 x 10 + 2 x 1

Simplify the expression, then we have

⇒ 1 x 10,000 + 7 x 1,000 + 4 x 100 + 0 x 10 + 2 x 1

⇒ 10,000 + 7,000 + 400 + 0 + 2

⇒ 17,402

The value of the numerical expression 1 x 10,000 + 7 x 1,000 + 4 x 100 + 0 x 10 + 2 x 1 will be 17,402.

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The complete question is given below.

Find the value of the expression.

1 x 10 000 + 7 x 1 000 + 4 x 100 + 0 x 10 + 2 x 1.

might be X = 5 and 8 Y = 2.4