Which of the following are valid names for the given triangle? Check all that
apply.

Answer:

c

Step-by-step explanation:

a line of credit with a fixed total amount.

The closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.

On the bases of the requirement, a person or firm takes the open or closed line of credit.

Thus, the closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.

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Answer:

x = 2/3

y = 5

Step-by-step explanation:

6x + y = 9

3x -4y = -18

Times the second equation by -2

6x + y = 9

-6x + 8y = 36

9y = 45

y = 5

Now put 5 in for y and solve for x

6x + 5 = 9

6x = 4

x = 2/3

Let's check

6(2/3) + 5 = 9

4 + 5 = 9

9 = 9

So, x = 2/3 and y = 5 is the correct answer.

I Did This And I Somehow Came Out To B. So B I Guess Sorry if Im Wrong

Answer:

Identify the endpoints of the line segment.

The steps that should be taken to calculate the volume of the right triangular prism are;

Base = 8 meters

Height = 14 meters

Length of the prism = 7 meters

Area = ½ × base × height

= ½ × 8 × 14

= 56 square meters

Volume of the rectangular prism = Area × length of the prism

= 56 square meters × 7 meters

= 392 cubic meters

Ultimately, the volume of the right triangular prism is 392 cubic meters

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Answer:

si=Ptr/100

and di solution

Answer:

SteYou choose!  Maybe you always wanted to do a marathon!  Now you can do it over the 15 days of the virtual race...at your own speed!

1M, 5K, 10K, half marathon or marathon options

​

Answer:

\(x^4-5x^2-6=0\)

Step-by-step explanation:

A quadratic equation is always in the form of ;

\(ax^2 +bx+c =0\)

Number 1 : Can be solved using factorization , Quadratic equation or Completing the square method

Number 2 : Quadratic formula or Completing the square method

Number 3 :Difference of two squares

Number 4 : not a quadratic equation but can be solved using Factorization

I Hope it Helps :)

Answer:

ccghuiuujkll vhijkhjjjkjjjjjjjj

Given:

A line passes through the points (-6, 8) and (-16, 33).

To find:

The slope of the line.

Solution:

If a line passes through two points, then the slope of the line is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

The line passes through the points (-6, 8) and (-16, 33). Using the above formula, the slope of the line is

\(m=\dfrac{33-8}{-16-(-6)}\)

\(m=\dfrac{25}{-16+6}\)

\(m=\dfrac{25}{-10}\)

\(m=-2.5\)

Therefore, the slope of the line is -2.5.

Slope of the line passing through the points ( -6,8)  and (-16,33) will be -2.5.

Given information:

The line passes through the points ( -6,8)  and (-16,33).

It is required to find the slope of the line.

Slope of the line passing from two points  \((x_1,y_1) \; and\; (x_2, y_2)\) can be written as

\(m= \dfrac{y_2-y_1}{x_2- x_1}\)

So, the slope of the given line can be calculated as,

\(m= \dfrac{33-8}{-16- (-6)}\\m = \dfrac{25 }{-10} \\m = -2.5\)

Therefore the slope of given line will be -2.5.

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Answer:

33.8

Step-by-step explanation:

33.8 is the closest to half of 65.

9514 1404 393

Answer:

  125

Step-by-step explanation:

The proportion you want is ...

  \(\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}\)

52% of 125 is 65.

__

Comment on the formulation

You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...

  whole/part = 100/52 = ?/65

Then the solution is one step: multiply by 65.

Answer:

d, -3

Step-by-step explanation:

Answer:

3,6,9,12,15,18

Step-by-step explanation:

how i came up with this ordered pair is taking the multiples of three

this relation is a function because it is asking to list six ordered pairs showing the output of the thickness of the paper that he folds and the way that i came up with the ordered pairs in Part A is because you have to take the multiples of three or you could just take 6 and multiple it by 3 and you would get the same answer

Answer:A translation

Step-by-step explanation:

A translation

Answer:

I am pretty sure its 5

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

  y = 2(x^2 -4x) +3

  y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

  y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

1) The correct transformation that takes the graph of f(x) = 3ˣ to the graph of g(x) = 3ˣ - 9 is a vertical translation downward by 9 units. (Option D)

2) The graph is translated up 2 units. (Option D)

3) the solution to the equation 2^(4x) = 8^(3x-10) is x = 6.

1)

The correct transformation that takes the graph of f(x) = 3^x to the graph of g(x) = 3^x - 9 is a vertical translation downward by 9 units.

This is because adding or subtracting a constant to a function shifts its graph up or down, respectively. In this case, subtracting 9 from the function shifts the graph downward by 9 units.

A translation to the right or left would involve replacing x with x + 9 or x - 9, respectively, which would change the shape of the function rather than simply shifting it vertically.

2)
The correct transformation that takes the graph of f(x) = 7^x to the graph of g(x) = 7^(x+8) - 2 is a horizontal translation to the left by 8 units and a vertical translation upward by 2 units.

To see this, consider that the expression 7^(x+8) - 2 can be written as 7^x * 7^8 - 2. The factor of 7^8 represents a horizontal shift of 8 units to the left, since it corresponds to the value of the function when x = -8. Subtracting 2 from this value results in a vertical shift upward by 2 units.

Therefore, the correct answer is: The graph is translated to the left 8 units and up 2 units.

3)
We can start by writing 8 as a power of 2, since both sides of the equation involve powers of 2:

8 = 2^3

Substituting this into the right side of the equation, we get:

2^(4x) = (2^3)^(3x-10)

Simplifying the right side using the power of a power rule, we get:

2^(4x) = 2^(9x - 30)

Now we have two powers of 2 that are equal, so we can set their exponents equal to each other:

4x = 9x - 30

Solving for x, we get:

5x = 30

x = 6

Therefore, the solution to the equation 2^(4x) = 8^(3x-10) is x = 6.

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False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.

In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.

The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.

By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.

Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.

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The length of HJ is approximately 7.754 units and angle G is approximately 61.55 degrees.

To find the remaining side and angles of the right-angled triangle GHJ, we can use the Pythagorean theorem and trigonometric functions.

Using the Pythagorean theorem, we know that in a right-angled triangle:

\(HJ^2 + GH^2 = GJ^2\)

Substituting the given values:

\(HJ^2 + 14^2 = 16^2\\\\HJ^2 + 196 = 256\\\\HJ^2 = 256 - 196\\\\HJ^2 = 60\)

Taking the square root of both sides:

\(HJ = \sqrt{(60)}\\\\HJ = 7.754\)

To find angle G, we can use the sine function:

sin(G) = GH / GJ

sin(G) = 14 / 16

sin(G) = 0.875

G ≈ arcsin(0.875)

G ≈ 61.55 degrees

Therefore, angle G is approximately 61.55 degrees.

Thus from the properties of a triangle,

∠G+∠H+∠J=180°

61.55+90+∠J=180°

∠J = 90-61.55

∠J = 28.45°

Therefore, the measurement of angle J is 28.45°.

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Answer: 4 cm

You take the surface area formula and substitute “x” for the width. Then it becomes a simple algebra problem.

A polynomial can have as many real zeros as its degree, hence one with three degrees can have as many as three zeros.

The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

A polynomial with n degrees can have as many variables as n in total.

For example, a quadratic equation ax² + bx + c = 0 is a two-degree equation so it has a maximum of two roots or zeros.

A polynomial with the given degree structure will have exactly 3 roots because it has 3 degrees.

Hence "The maximum number of real zeros in a polynomial will be same as its degree thus 3 degrees will have 3 zeros".

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Answer: 4 horas

Step-by-step explanation:

Una semana (de lunes a viernes) contiene 5 días

Si se entrena 1 hora por día:

1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)

Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)

(5+x) /6 =1.5

Despajando x:

5+x =1.5 x 6

5+x =9

x =9-5

x = 4 horas

The value of the underlined digit is 1000.

Answer:

3. 25

4. 22

5. 14

6. 12

7. 45

Step-by-step explanation:

12x4=40+8

20-12=2x4

25-4=3x7

4x9=31+5

16+12=7x4

38-5=3x11

6x7=46-4

Saddle points are critical point that the function didn't in local maximum points nor in a local minimum position. Saddle pointly mostly happen in the multivariable functions. In simple, saddle point is everything on the function accept the local maxima and minimum maxima. The proof what is the saddle shown in the picture. As you can see, the curve besides local maxima and minimum maxima is create an area like a saddle, thats why its called saddle point.

Saddle point availability can be calculate by this logic: lets say we have r = f(q, w), then the point (q, w, r) is told to be a saddle point if each derivatives fq(q, w) and fw(q, w) subside,and f  is not in any local maximum or local minima value at (x, y).

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Answer:

$400

Step-by-step explanation:

We will make this question into a function by setting 'p' as the initial price before sale and converting the percent to a decimal (60*0.01).

Because the final price was calculated by multiplying the initial price by 60%, we can represent that with the function:

0.6p=240

All we need to do now is isolate p by dividing out 0.6.

p=400

Giving us an answer of $400 (that's an expensive jacket )

Comparing the provided equations in the options with the slope-intercept form y = mx + c and with the intercept value given , The answer is option A and B.

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

In a linear equation, the slope (also called the gradient) is a measure of the steepness of the line, and the y-intercept is the point at which the line crosses the y-axis. The slope of a linear equation can be represented as m in the form of y = mx + b, where m is the coefficient of x, and b is y-intercept. The y-intercept is the point where the line crosses the y-axis, which can be represented by the value of b in the form of y = mx + b.

intercept (c) = 3units

option A also has 3 as c

option B also has 3 as c

when compared with y= mx + c

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To construct the frequency distribution diagram for the given shaft diameters, we can first list the unique values in ascending order along with their frequencies:

Diameter Frequency

2.50 2

2.51 2

2.52 3

2.53 2

2.54 3

2.55 1

5.51 2

5.52 4

5.53 1

5.54 1

5.55 1

5.56 1

The diagram can be represented as:

Diameter | Frequency

2.50-2.51 | 4

2.52-2.53 | 5

2.54-2.55 | 4

5.51-5.52 | 6

5.53-5.54 | 2

5.55-5.56 | 2

This frequency distribution diagram provides a visual representation of the frequency of each diameter range in the data set.

In-process monitoring of surface finish refers to the methods used to assess and control the quality of a surface during the manufacturing process. There are several different methods of in-process monitoring of surface finish:

Surface Roughness Measurement: This method involves measuring the roughness of the surface using instruments such as profilometers or roughness testers. The roughness parameters provide quantitative measurements of the surface texture.

Visual Inspection: Visual inspection is a subjective method where trained inspectors visually examine the surface for any imperfections, such as scratches, cracks, or unevenness. This method is often used in conjunction with other measurement techniques.

Non-contact Optical Measurement: Optical techniques, such as laser scanning or interferometry, are used to measure the surface profile without physical contact. These methods provide high-resolution measurements and are suitable for delicate or sensitive surfaces.

Contact Measurement: Contact-based methods involve using instruments with a stylus or probe that physically touches the surface to measure parameters like roughness, waviness, or flatness. Examples include stylus profilometers and coordinate measuring machines (CMMs).

In-line Sensors: In some manufacturing processes, in-line sensors are integrated into the production line to continuously monitor surface finish. These sensors can provide real-time data and trigger alarms or adjustments if the surface quality deviates from the desired specifications.

The choice of method depends on factors such as the desired level of accuracy, the nature of the surface being monitored, the manufacturing process, and the available resources. Using a combination of these methods can provide comprehensive monitoring of surface finish during production.

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Answer:

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm,...In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h

EXPLANATION

From the diagram, PQRS is a rectangle

Area of shaded part = 72sq.cm

But 72 = 3h - 4 + 6h - 4 + 4h

= 72 - 16h - 8

= 16h - 72 + 8

=16h = 80

h = 80/16

= 5cm

Answer:

-15 meters

Step-by-step explanation:

Elevation means the height to which something is elevated. If the object is above sea level then it is positive. If the object is below sea level it is negative.

The elevation of the surface of the ocean is, - 15 meters.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

A fish is 15 meters below the surface of the ocean.

Here, The fish is 15 meters below the surface of the ocean.

Hence, Its elevation shows in negative sign.

Thus, We get;

The elevation of the surface of the ocean = - 15 meters.

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