Para racionalizar el denominador de la fracción 6−2√3+5√
se requiere:

Two congruent triangles with the same orientation aligned with one above the other. The transformation is -

Option A: reflection over a horizontal line

What is reflection?

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

In the figure it is given that -

Both the triangles are equal and congruent to each other.

There is no change in the shape or size of both the images only the place of the image is changed.

One triangle is placed above the another.

This is done over a horizontal plane.

Therefore, the transformation is reflection over horizontal line.

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Answer:

no

Step-by-step explanation:

I goo.g.led, sorry me dum lol

Answer:

No, it is not divisble by 3.

Step-by-step explanation:

9812 divided by 3 is 3270.6666 repeating.

hope this helps :)

Answer:

a) 22:25 is the earliest time

b)15 min

Step-by-step explanation:

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

10:10(standard) = 22:10 (military)

22:10 -> 15min-> 22:25

Answer:

a) 22:25 is the earliest time

b)15 min

Because

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

Percentage change = 10%

We can use the formula:

Percent change = \(\frac{New-Old}{Old}\) x 100

Percent change = \(\frac{77-70}{70}\)x100

Percent change = \(\frac{7}{70}\) x 100

Percent change = 0.1 x 100

Percent change = 10%

Answer: 53.9

Step-by-step explanation:

Answer:

Its 24! hope this helped!

Answer:

45 degrees.

I hope I'm right.

Slope is the change in y over the change in x

Slope = (-3 -2) / (-7 -8)

Slope = -5/-15

Slope = 1/3

Answer:

\(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\)

Step-by-step explanation:

Integrate v(t) with respect to time

\(\displaystyle \int(3t^3+30t^2+5)\,dt\\\\=\frac{3}{4}t^4+10t^3+5t+C\)

Plug-in initial condition to get C

\(\displaystyle s(0)=\frac{3}{4}(0)^3+10(0)^3+5(0)+C\\\\3=C\)

Thus, the position function is \(\displaystyle s(t)=\frac{3}{4}t^3+10t^3+5t+3\) given the velocity function and initial condition.

Answer:

h = 120

Step-by-step explanation:

The required, division of h=(500-260)divided by 2 is 120..

The division is a mathematical operation that involves distributing or sharing a quantity into equal parts. It is the inverse operation of multiplication. In division, a dividend is divided by a divisor to obtain a quotient.

h = (500 - 260) divided by 2

To solve this expression, we first perform the subtraction within the parentheses:

h = (240) / 2

Simplifying further:

h = 120

Therefore, the value of h is 120.

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The correct answer is A. (1,5] and C. [1,5]

Based on the given information, we can make the following conclusions:

The power series converges conditionally at x=1: This means that the series converges at x=1, but not absolutely. This implies that the interval of convergence must include x=1, but it could extend to the left or right of 1.

The power series converges absolutely at x=5: This means that the series converges absolutely at x=5, which implies that the interval of convergence must include x=5.

The power series diverges at x=7: This means that the series does not converge at x=7, which implies that the interval of convergence must not include x=7.

Based on these conclusions, we can eliminate choices D and E, as they include x=7 which contradicts the given information.

Choice A, (1,5], includes x=1 and x=5, and does not include x=7, so it could be a possible interval of convergence.

Choice B, [1,6], includes x=1 and x=5, but also includes x=7, which contradicts the given information that the series diverges at x=7, so it is not a valid interval of convergence.

Choice C, [1,5], includes x=1 and x=5, and does not include x=7, so it could be a possible interval of convergence.

So, the correct choices for the interval of convergence I of the power series could be A. (1,5] and C. [1,5]. Note that there may be other possible intervals of convergence that satisfy the given conditions, as power series can have more than one valid interval of convergence. It is important to use other methods, such as the ratio test or root test, to further confirm the convergence behavior of the power series. So, A. (1,5] and C. [1,5] are valid intervals of convergence that are consistent with the given information. However, it is not possible to definitively determine the unique interval of convergence without additional information or using convergence tests. It is always a good practice to apply convergence tests to verify the convergence behavior of a power series. The information given in the question only provides partial information about the behavior of the power series at specific points, and additional tests or information may be needed to determine the complete interval of convergence.

It is important to carefully analyze and consider all given information and apply appropriate convergence tests to accurately determine the interval of convergence for a power series. So, the correct answer is A. (1,5] and C. [1,5]. However, it is important to note that without additional information or convergence tests, it is not possible to uniquely determine the interval of convergence for the power series. It is always a good practice to apply convergence tests to verify the convergence behavior of a power series. The information given in the question only provides partial information about the behavior of the power series at specific points, and additional tests or information may be needed to determine the complete interval of convergence. It is important to carefully analyze and consider all given information and apply appropriate convergence tests to accurately determine the interval of convergence for a power series. So, the correct answer is A. (1,5] and C. [1,5].

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Answer:

21 (Thats a joke incase this is serious, if it is 19)

Step-by-step explanation:

Answer:

D. a line graph

Step-by-step explanation:

The three choices are increase the sample size, pick individuals from various grade levels and in all language arts classes, pick the fourth student.

what is sample size?

The number of observations utilized to calculate estimates for a given population is referred to as the sample size. From the population, a sample size was chosen. The term "sample size" describes the number of subjects or observations that make up a study. n is typically used to represent this number.

The three choices are increase the size of the sample, pick individuals from various grade levels and in all language arts classes, pick the fourth student.

It's important to take into account the following data:

The sample size should be raised in order to boost the result validity, The students should be chosen from among the various grade levels and For all language kinds, a student should be chosen every fourth student.

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Answer:

I'm pretty sure the answer is C

I could be wrong tho

The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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Answer:

3x² – 5x + 2 is a polynomial because:

Exponents are whole numbers, and the expression has at least 1 term.

Exponents other than whole numbers can take the form of variables in denominators, and roots which we don't want.

Answer:

she made a $450 profit

Step-by-step explanation:

It shows that her expenses are 9000 and she made 9450 therefore if you subtract them you are left with 450.

1. 4.167 radians does colton sweep out.

2. 238.1° degrees does colton sweep out.

3. 0.344 km is colton to the right of the center of the ski trail.

4. 0.139 km is colton above the center of the ski trail.

Question analysis Colton is skiing on a circular ski trail with a radius of 0.6 km.

Colton starts at the 3-o'clock position and travels 2.5 km in the counterclockwise direction.

There are four parts to this question: How many radians does Colton sweep out.

Radians refer to the distance covered by the object in circular motion around the circumference.

We can determine this using the formula:

θ = s / r

Where θ is the angle in radians, s is the length of the arc, and r is the radius of the circle.

Substituting the given values,θ = 2.5 km / 0.6 km= 4.167 radians.

Degrees does Colton sweep out:

We know that 180° = π radians

So, we can convert radians to degrees by multiplying it by

180° / πθ = 4.167 radians x (180° / π) ≈  238.1°

When Colton stops skiing, how many km is Colton to the right of the center of the ski trail.

The displacement of the skier from the center is the same as the horizontal distance.

We can use trigonometry to calculate this distance.

From the given position, we know that Colton has travelled 2.5 km along the circumference of the circle.

This is equivalent to the angle swept by Colton (4.167 radians) multiplied by the radius of the circle (0.6 km).Using trigonometry, we can determine the horizontal distance as:

d = r cos(θ)

Where d is the horizontal distance, r is the radius, and θ is the angle swept by Colton.

d = 0.6 km x cos(4.167)≈ 0.344 km.

When Colton stops skiing, how many km is Colton above the center of the ski trail?The vertical distance from the center of the circle can be calculated using trigonometry.

We can use the same method as above to calculate the vertical distance as:

v = r sin(θ)

Where v is the vertical distance, r is the radius, and θ is the angle swept by Colton.

v = 0.6 km x sin(4.167) ≈ 0.139 km

Colton sweeps out 4.167 radians ≈ 238.1°.

When Colton stops skiing, he is to the right of the center of the ski trail by ≈ 0.344 km.

When Colton stops skiing, he is above the center of the ski trail by ≈ 0.139 km.

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Answer:

1 hour

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

Answer:

\( \sin( \alpha ) = \frac{16}{ \sqrt{281} } \)

Step-by-step explanation:

Greetings!!!

Firstly, remember the sin trigonometric equation

\( \sin( \alpha ) = \frac{opposite}{hypotenuse} \)

Assuming the image as this question and solve

If you have any questions or unclear ideas tag on comments

Hope it helps!!!

The value of the indicated trigonometric ratio sin( α ) is (16√281 )/281.

The figure in the image is a right triangle.

To find sin(α), we use trigonometric ratio.

Sine = Opposite / Hypotenuse

Plug in the values

sin( α ) = 16/√281

To simplify further, we rationalize the denominator

Multiply both the numerator and denominator by √281

sin( α ) = (16 × √281 ) /(√281 × √281 )

sin( α ) = (16 × √281 ) / 281

sin( α ) = (16√281 )/281

Therefore, the value of sin( α ) is (16√281 )/281.

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The Scale of the drawing is the ratio of the length of the soccer field in the drawing to the actual length of the soccer field.

Let x be the scale of the drawing. We have:

232 mm / x = 116 m

To solve for x, we need to convert the units so that they are the same on both sides of the equation. There are 1000 millimeters in 1 meter, so:

232 mm / x = 116 m * 1000 mm/m

232 mm / x = 116000 mm/m

x = 232 mm / 116000 mm/m

x = 0.002

Therefore, the scale of the drawing is 0.002.

In other words, every millimeter in the drawing represents 0.002 meters in real life. This means that if you measure any distance in the drawing and multiply it by 0.002, you will get the actual distance in meters.

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Answer:

20 and -20

20^2 = 400

(-20)^2=400 since two negative is positive

The initial entering basic variable is x₁, and the leaving basic variable is x₃.

To construct the complete first simplex tableau using the Big M method, we need to convert the given problem into standard form. We introduce slack, surplus, and artificial variables to transform the inequality and equality constraints into equations.

The given problem becomes:
Maximize Z = -2x₁ + x₂ - 4x₃ + 3x₄

subject to:
\(x₁ + x₂ + 3x₃ + 2x₄ + x₅ = 4\) (Equation 1)
\(x₁ - x₃ + x₄ - x₆ = -1\)(Equation 2)
\(2x₁ + x₂ + x₇ = 2\) (Equation 3)
\(x₁ + 2x₂ + x₃ + 2x₄ + x₈ = 2\) (Equation 4)

where x₅, x₆, x₇, x₈ are the introduced variables.

The initial entering basic variable is the one with the most negative coefficient in the objective function, which is x₁ in this case.

To identify the leaving basic variable, we consider the ratio of the right-hand side to the pivot column coefficient. The smallest positive ratio determines the leaving basic variable.

For Equation 1:

\(Ratio = 4/1 \\= 4\)
For Equation 2:

\(Ratio = -1/(-1) \\= 1\)
For Equation 3:

\(Ratio = 2/2 \\= 1\)
For Equation 4:

\(Ratio = 2/1 \\= 2\)

The leaving basic variable is x₃ since it has the smallest positive ratio.

Constructing the complete first simplex tableau:

(Refer to the image attached below)

The initial entering basic variable is x₁, and the leaving basic variable is x₃.

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┌─────────────┬──────┬───────┬───────┬───────┬─────┬─────────────┐

│     BV      │  x₁  │   x₂  │   x₃  │   x₄  │  s₁ │      RHS    │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────────────┤

│      Z      │ -2   │   1   │  -4   │   3   │  0  │      0      │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────────────┤

│  -x₃ + x₄   │  1   │   0   │  -1   │   1   │  0  │     -12     │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────────────┤

│  2x₁ + x₂   │  2   │   1   │   0   │   0   │  0  │      2      │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────────────┤

│ x₁ + x₂ + x₃│ -1   │  -1   │   1   │   0   │  1  │      4      │

├─────────────┼──────┼───────┼───────┼───────┼─────┼─────────────┤

│ 2x₁ + 2x₂ + │ -2   │   2   │   1   │   2   │  0  │      2      │

│     x₃ + 2x₄ │      │       │       │       │     │             │

└─────────────┴──────┴───────┴───────┴───────┴─────┴─────────────┘

The initial entering basic variable is x₂, which has the highest coefficient in the objective row. The leaving basic variable is s₁, determined by selecting the row with the smallest positive ratio of the right-hand side (RHS) to the entering column's coefficient. In this case, the ratio for the third row (2/1) is the smallest, so s₁ leaves the basis.

To construct the complete first simplex tableau using the Big M method, we first rewrite the given problem into standard form by introducing slack, surplus, and artificial variables. We assign a large positive value (M) to each artificial variable in the objective row to penalize their inclusion in the optimal solution.

The first row represents the objective function, where the coefficients of the decision variables x₁, x₂, x₃, and x₄ are taken directly from the given problem. The artificial variable s₁ has a coefficient of 0 since it doesn't appear in the objective function.

The subsequent rows represent the constraints. Each row corresponds to one constraint, where the coefficients of the decision variables and the artificial variable are taken from the original problem. The right-hand side (RHS) values are also copied accordingly.

The initial entering basic variable is determined by selecting the most negative coefficient in the objective row, which is x₂ in this case. The leaving basic variable is determined by finding the smallest positive ratio of the RHS to the entering column's coefficient. The ratio for the third row (2/1) is the smallest, so s₁ leaves the basis.

The resulting tableau forms the basis for applying the simplex method to solve the linear programming problem iteratively.

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Answer:

99 cm²

Step-by-step explanation:

Area of this triangle:

\(A = \frac{hb}{2}\)

A = (11×18)÷2

A = 198÷2

A = 99

Units will be cm²
Discord?
Moon Knight#1868

Answer:

Step-by-step explanation:

Lets all remember rise over run to figure out slop and at coordinates (60, 25) we see that we go up 1 (rise) and go on the positive side 2 (run)

For the Y intercept (I'm really not sure about this answer) I figured it out by looking at the first point I saw (60, 25)

so I inferred that the y intercept is 25

Step-by-step explanation:

the standard form for a quadratic function is

y = ax² + bx + c

our parabola had the equation

y = a(x - 2)² + q

let's do the "math" :

y = a(x² - 4x + 4) + q = ax² - 4ax + 4a + q

so, we know (when comparing with the standard form)

b = -4a

c = 4a + q

for the vertex we need to find the axis of symmetry first by using the standard formula

x = -b/2a

which is in our case

x = -(-4a)/2a = 4a/2a = 2

to get y for this x we need to find a and q first.

we are using the given points for that :

5 = a(-2)² - 4a×(-2) + 4a + q

-1 = a(4)² - 4a×4 + 4a + q

the first equation then forms into

5 = 4a + 8a + 4a + q = 16a + q

the second equation forms into

-1 = 16a - 16a + 4a + q = 4a + q

let's subtract the second from the first equation

5 = 16a + q

- -1 = 4a + q

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

6 = 12a + 0

12a = 6

a = 1/2

-1 = 4a + q = 4×1/2 + q = 2 + q

q = -3

so, the original equation for our parabola is

y = 1/2 × (x - 2)² - 3

so y for the vertex (remember, x = 2) is

y = 1/2 × (2 - 2)² - 3 = 1/2 × 0 - 3 = -3

so the vertex is (2, -3)

Answer:

4.45 per duck

Step-by-step explanation:

you take 53.40 and divide it by 12

which gets you

4.45

hope this helps

Hi!

Your answer would be: 4.45

Reason being: 53.40 divided by 12 is 4.45, and 4.45 x 12 is 53.40.

Hope this helps!

Let me know if you need anymore help, I'd be delighted to!

Yours truly,

Answer:

1

Step-by-step explanation: