A baseball is thrown at a speed of 78 miles per hour what interfere represents this situation

The intensity of the beam after passing through the new arrangement with the second and third polarizers interchanged, will depend on the orientation of the polarizers and the initial intensity of the beam.

The intensity of a beam passing through a polarizer is given by the equation I = I₀cos²θ, where I₀ is the initial intensity of the beam and θ is the angle between the polarization direction of the polarizer and the initial polarization direction of the beam.

When the positions of the second and third polarizers are interchanged, the arrangement of the polarizers is altered. The resulting intensity of the beam will depend on the orientation of the polarizers. If the new arrangement aligns the polarizers in such a way that the polarization directions are compatible, the intensity of the beam may remain the same or decrease depending on the angle between the polarization directions. However, if the polarization directions are incompatible, the intensity of the beam will be reduced significantly, possibly to zero, as the polarizers block the transmission of light.

Therefore, to determine the intensity of the beam after passing through the new arrangement of the three polarizers, it is necessary to know the orientations of the polarizers and the initial intensity of the beam.

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9514 1404 393

Answer:

  8/5 = 1.6

Step-by-step explanation:

It looks like the line crosses grid points (-4, -4) and (1, 4). This means the slope is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -(-4))/(1 -(-4)) = 8/5 = 1.6

The slope of the line seems to be about 8/5, or 1.6.

Answer:

(-2 , -7)

(-1 , -3)

(0 , 1)

(1 , 5)

Step-by-step explanation:

You are given a function y = 4x + 1. If you want to find the y values, just plug in the x values wherever there is x and you should get the corresponding y values.

\(y = 4( - 2) + 1\)

\(y = - 8 + 1 = - 7\)

\(y = 4( - 1) + 1\)

\(y = - 4 + 1 = - 3\)

\(y = 4(0) + 1\)

\(y = 1\)

\(y = 4(1) + 1\)

\(y = 5\)

(-2 , -7)

(-1 , -3)

(0 , 1)

(1 , 5)

The amount of money left after riding n rides is:

f(n) = 50 - 1.50n

We can model this with a linear equation. We know that Tom starts with a total of 50 dollars, and each game in the state fair has a ride cost of $1.50

So, if he goes to n of these rides, the amount of money that he will have at the end is equal to the initial amount minus n times the cost of a game, we can write this as the linear equation:

f(n) = 50 - 1.50n

Where the units of the function f(n) are in dollars. That is the equation we wante to get.

50 is the y-intercept, the initial amunt.

-1.50 is the slope, the cost per game.

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Answer:graph D its the only one that reflects across the X AXIS correctly

Step-by-step explanation:

The distance traveled in the first 2 seconds is 48 units, given the units of the velocity function.

To calculate the distance traveled during the time interval [0, 2] seconds, we need to integrate the velocity function over that interval. From part (d), we have the velocity function: v(t) = -16t + 40. To find the distance traveled, we integrate the absolute value of the velocity function over the interval [0, 2]: Distance = ∫[0, 2] |v(t)| dt. Using the given velocity function, we have: Distance = ∫[0, 2] |-16t + 40| dt.

To evaluate this integral, we need to split it into two parts based on the different intervals of the absolute value function: Distance = ∫[0, 2] (16t - 40) dt for 0 ≤ t ≤ 2. Integrating this expression, we get: Distance = [8t^2 - 40t] evaluated from 0 to 2. Plugging in the limits of integration, we have: Distance = [8(2)^2 - 40(2)] - [8(0)^2 - 40(0)]. Simplifying, we find: Distance = [32 - 80] - [0 - 0];Distance = -48. Therefore, the distance traveled in the first 2 seconds is 48 units, given the units of the velocity function.

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When salt is added to water, the boiling point of water is increased. The boiling point elevation depends on the concentration of salt added. The addition of salt increases the boiling point of water.

The extent of the increase in boiling point is directly proportional to the amount of salt added. Boiling point is defined as the temperature at which the vapor pressure of a liquid is equal to the pressure exerted on it by the surrounding atmosphere.

In layman's terms, this means that a liquid boils when its vapor pressure equals atmospheric pressure. Boiling point of a liquid can be increased or decreased by the addition of solutes such as salt.When a solute such as salt is added to water, the boiling point of water increases due to the phenomenon of boiling point elevation.

This is because the solute particles in the water interfere with the formation of water vapor molecules at the surface of the liquid. As a result, more energy is required to boil the water, which means that the boiling point is elevated.

The amount of elevation is directly proportional to the concentration of salt added. In short, the addition of salt to water increases the boiling point of water.

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The inequality that can be used to determine the maximum number of people, x, who can go to the amusement park is: 20x + 6.50 ≤ 555Let's break down the components of the inequality.

We have x, representing the number of people going to the amusement park. Since each ticket costs $20, the total cost of tickets for x people is 20x. In addition to the ticket cost, there is also the cost of parking. The parking fee is $6.50, which is a fixed amount regardless of the number of people. The total amount spent on tickets and parking should not exceed $555, as mentioned in the problem. Therefore, we can set up the inequality: 20x + 6.50 ≤ 555 This inequality combines the cost of tickets (20x) and the cost of parking ($6.50) and ensures that the total amount spent does not exceed $555. By solving this inequality, we can determine the maximum value of x, representing the number of people who can go to the amusement park without exceeding the available budget.

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Answer:

B: (-8,-2)

you add the equation to solve the first variable, then plug in the values to the other equation to find the last variable

good Luck!!!

Note that the Cross Product of A= (0,4,5) and B= (1,1,-2) is (-13, 5, -4).

To find the cross product of A = (0, 4, 5) and B = (1, 1, -2), we can use the following formula:

A x B = |i j k |

|0 4 5 |

|1 1 -2|

where i, j, and k are the unit vectors in the x, y, and z directions, and |...| denotes the determinant of the matrix.

Evaluating the determinant, we get:

A x B = (4 x (-2) - 5 x 1) i - (0 x (-2) - 5 x 1) j + (0 x 1 - 4 x 1) k

A x B = -13i + 5j - 4k

Therefore, the cross product of A and B is (-13, 5, -4).

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Answer:

False

Step-by-step explanation:

Consider a=3 and b=4. The left hand side is 5 but the right hand side is 7.

A. The correlation coefficient is of 0.303.

B. There are six positive and four negative.

C. The point with the largest residual is (6,2).

By choosing the points (x,y) from the scatter plot and entering them into a calculator, the correlation coefficient can be calculated.

A) The coordinates of these points are:

(1,2), (1,3), (2,4), (3,4), (3,5), (4,3), (4,5), (5,5), (5,6), (6,2).

Now, using Pearson correlation we have

X Values:

∑ = 34

Mean = 3.4

∑(X - Mx)² = SSx = 26.4

Y Values:

∑ = 39

Mean = 3.9

∑(Y - My)² = SSy = 16.9

So, when X and Y Combined

N = 10

∑(X - Mx)(Y - My) = 6.4

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 6.4 / √((26.4)(16.9))

r= 0.303

Hence, the correlation coefficient is 0.303

B) As, The difference between the observed value and the expected value, or residual, is determined as follows:

C) The largest residual using absolute value is at the point is (6,2).

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Answer:

b 1

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Remember that the axis of symmetry (a vertical line that passes through the vertex) is exactly halfway between the two x-intercepts.  Thus, the x-coordinate of the vertex is 7.

Answer:

Taylor is closest to the table

Step-by-step explanation:

I divided 64, 4, 7, 0.615, and 001 01 and got 1.876 so i figured out that that is half of 64%. So that gave me an idea that Taylor was closest to the table.

The correct answer is option D. We can be 95% confident that the sample proportion is captured by the confidence interval.

The margin of error of plus or minus three percentage points at a 95% confidence level means that the true proportion of people who jog regularly in the population is estimated to be between 15% and 21%. We can be 95% confident that the true proportion of people who jog regularly falls within this interval.

Therefore, option B is correct. Option A is incorrect because it implies that the margin of error always holds true for any sample size, which is not the case. Option C is incorrect because it presents a range of values for the population, not for the estimate. Option E is incorrect because it refers to the proportion of samples that would find the same sample proportion, not the range of values within which the true proportion lies.

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Answer:

the answer would be 3! I hipe this helps

The intermediate value theorem applies to the indicated interval and the importance of c guaranteed by the theorem is c=2,3.

Especially, he has been credited with proving the following five theorems:  a circle is bisected via any diameter; the bottom angles of an isosceles triangle are the same;  the other (“vertical”) angles are shaped by means of the intersection of two traces are same; two triangles are congruent (of identical form and size.

In mathematics, a theorem is an announcement that has been proved or may be proved. The evidence of a theorem is a logical argument that makes use of the inference guidelines of a deductive system to set up that the concept is a logical result of the axioms and formerly proved theorems.

In line with the Oxford dictionary, the definition of the concept is ''a rule or principle, especially in arithmetic, that may be proved to be true''. For example, in arithmetic, the Pythagorean theorem is a  theorem and is maximum extensively used in the domain of science.

2-1and interval = [4]

since function text is continuous in a given interval. And also

+(4) = 42+4 = 4-1

20 = 6667

$(5/4) = ($145/2

stone-1

= 5.833

simple, f(4) > $(5/2), hence Intermediate

Theorem & applies to the indicated proved.

Now,

= 6 C-1

C-5c +6 = 0

C=2 or c=3

1=3 or

C= 2, 3

<= 2

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The value of the expression according to the order of operations is -11. Thus option D is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.

From the given information:

The expression are :

(-2)-3-6

Now solve it with the order then

(-2)-3-6 = (-2)-3-6

(-2)-3-6 = -2-3-6

Now add the first two terms

then

(-2)-3-6 = -5-6

Now, Add next two terms

Then

(-2)-3-6 = -11.

The value becomes -11.

So, The value of the expression according to the order of operations is -11. Thus option D is correct.

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The solution to the equation √(-2x - 5) - 4 = x are x = -7 and x = -3

From the question, we have the following parameters that can be used in our computation:

√(-2x - 5) - 4 = x

So, we have

-2x - 5 = x + 4

Take the square of both sides

so, we have the following representation

x² + 8x + 16 = -2x - 5

Evalyate the like terms

x² + 10x + 21 = 0

When factorized, we have

(x + 7)(x + 3) = 0

This means that

x = -7 and x = -3

Hence, the solutions are x = -7 and x = -3

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Two equal-size vectors at right angles to each other have a resultant that is equal to \(\sqrt{2}\) times the magnitude of each individual vector.

The magnitude of the resultant vector of two equal-size vectors at right angles to each other can be determined using the Pythagorean theorem.

Let's assume the magnitude of each vector is represented by "a".

According to the Pythagorean theorem, the magnitude of the resultant vector, denoted as "R", can be calculated as:

R =\(\sqrt{a^2 + a^2}\)

R = (\(\sqrt{2a^{2} )}\)

R = \(\sqrt{2}\) a

Therefore, the magnitude of the resultant vector is equal to \(\sqrt{2}\) times the magnitude of each individual vector.

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The standard form of the quadratic function whose graph is a parabola will be;

⇒ y = 1/3 (x² - 4x + 1)

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

Vertex coordinate = (-3, 4)

And, A point on the graph = (0, 13)

Since, We know that;

The vertex form of a quadratic equation is given by;

⇒ y = a(x - h)² + k

Where h, k are the coordinates of the vertex.

Hence, At point (5, 2) at the vertex of (2, -1), we have;

⇒ 2 = a (5 - 2)² + (-1)

⇒ 2 = a × 9 - 1

⇒ 2 + 1 = 9a

⇒ 9a = 3

⇒ a = 3/9

⇒ a = 1/3

Since, The equation y = a(x - h)² + k is the vertex form,

Let us put the vertex values for h and k as well as the value of a to get the quadratic equation;

⇒ y = 1/3(x - 2)² - 1

⇒ y = 1/3 (x² + 4 - 4x) - 1

⇒ y = 1/3x² + 4/3 - 4/3x - 1

⇒ y = 1/3x² - 4/3x + 1/3

⇒ y = 1/3 (x² - 4x + 1)

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The length of the other diagonal of the rhombus is 24 units.

A rhombus is a parallelogram with four equal sides. Since the sides of the rhombus are 12 units long, all the sides are equal in length. One of the angles of the rhombus measures 60 degrees.

In a rhombus, the diagonals bisect each other at right angles, dividing the rhombus into four congruent right-angled triangles. The angle between the two diagonals is 60 degrees, which means that each right-angled triangle in the rhombus has a 30-degree angle.

To find the length of the other diagonal, we can use trigonometry. In a right-angled triangle with a 30-degree angle, the ratio of the length of the side opposite the angle to the length of the hypotenuse is 1/2. In this case, the side opposite the 30-degree angle is half the length of the diagonal we are trying to find.

Let's denote the length of the other diagonal as "d". Using trigonometry, we can set up the following equation:

sin(30 degrees) = (d/2) / 12

Simplifying the equation, we have:

1/2 = (d/2) / 12

Cross-multiplying, we get:

d/2 = 12 * 1/2

d/2 = 6

Multiplying both sides by 2, we find:

d = 12

Therefore, the length of the other diagonal of the rhombus is 24 units.

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The rectangular dimensions for the minimum amount of material are x = 46 ft and y = 46 ft.

Mathematical optimization or mathematical programming is the selection of the best element from a set of accessible alternatives based on some criterion. It is divided into two categories: discrete optimization and continuous optimization.

Given that you need to construct a fence around an area of 2116 square feet.

The area of the rectangle is,

A = xy

2116 = xy

y = 2116 / x

The perimeter is calculated by the formula,

P = 2 ( x + y )

Form the minimum length of the perimeter differentiate the perimeter and get the side by equating it with zero.

p = 2(x + 2116 / x )

p' = 2( 1 - ( 2116 / x²) = 0

( 1 - ( 2116 / x²) = 0

x² = 2116

x = √2116 = 46 ft

The value of y will be,

y = 2116 / x

y = 2116 / 46

y = 46 ft

Therefore, the rectangular dimensions for the minimum amount of material are x = 46 ft and y = 46 ft.

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Answer:

7.67

Step-by-step explanation:

Step-by-step explanation:

B = J + 3

hope this helps. have a great day

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