According to a survey conducted by the Texas Free Press, 125 out of 500 people do not have internet access at their homes. What percent of the people surveyed do have internet access at their homes?

False. An n × n matrix that is orthogonally diagonalizable does not necessarily have to be symmetric. A matrix is said to be orthogonally diagonalizable if it can be expressed as PDP^T, where P is an orthogonal matrix and D is a diagonal matrix.

For a matrix to be symmetric, it must satisfy the condition A = A^T, where A^T denotes the transpose of A. While it is true that symmetric matrices are always orthogonally diagonalizable, the converse is not necessarily true. There exist non-symmetric matrices that can still be orthogonally diagonalized. An example of such a matrix is the following:

  [1  2]

A = [3 4]

This matrix is not symmetric, as A^T is:

  [1  3]

A^T = [2 4]

However, it is still orthogonally diagonalizable. The matrix A can be diagonalized as:

A = PDP^T, where P = [0.8507 -0.5257]

[0.5257 0.8507]

          and D = [-0.3723   0     ]

                    [ 0      5.3723]

Therefore, it is not necessary for an n × n matrix that is orthogonally diagonalizable to be symmetric.

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Answer:

$18,000

Step-by-step explanation:

Trust me it's right

The statements that are true based on the following given information is  F ⊂ D (E ∩ F) is the empty set.

You should understand that a set is the collection of different items or numbers to form a group.

The given parameters that will help us to understand what a set is is given below

The elements of these sets are given as follows

D= {1,2,3,4,5,6,7,8,9, ...}

E= {4,9,16,25}

F= {20,22,24,26,28,30)

D ∪ E = {1,2,3,4,5,,,,,9......16....25...) ≠ E

Also

E∪(D∩F) =

First find (D∩F) =

(D∩F) =  but E∪(D∩F) = Ф

Also, F ⊂ D (E ∩ F)

E∩F = Ф and F⊄E

Therefore it is an empty set

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Answer:

Step-by-step explanation:

The standard form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.  Let's rewirite the given equation to match this format:

 y = 6 - 6x

 y = -6x + 6

The slope is -6 and the y-intercept is 6.  The slope tells us the angle the line is taking.  A negative slope such as this means that the line is angled down as it goes from left to right.  The size of the number tells us just how steep the line is.  

All parallel lines have the same slope.  Any line with the format of y = -6 + b will be parallel.  See the attached graph for proof.  The graph shows several parallel lines to y=-6+b, including the three top lines, all with the same slope, but with three different values for b:  +6, 0, and +10.

Perpendicular lines have a slope that is the negative inverse  of the reference line, in this case y = -6x + 6.  A perpendicular line will have a slope of -(1/-6) or 1/6 [the negative inverse of -6].  Perpendicular lines will have the form y = (1/6)x + b.  See the attached graph.  The three bottom equations are all perpendicular to y=-6x+6.  All have the same slope (1/6), but differnt y-intercepts (b = 0, 6, and 10).  The y-intercept numbers for both the parallel and perpendicular lines were randomly chosen, simply to illustrate the possibilities.

In summary,

"Slope of a parallel line" is -6, and

"Slope of  perpendicular line" is (1/6)

Step-by-step explanation: The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson process with a mean of 3

accidents per year.

Find the probability that more than one year elapses between accidents.

I am not really sure if I am doing this problem correctly but here was my attempt.

I know that the expected value is 3

accidents per year, and I have to find the probability that more than one year elapses between accidents.

Answer:

y = x - 36

Step-by-step explanation:

Here, we want to write an equation

Since it crosses the x-axis at x = 36; then (36,0) is a point on the line

for ;

y = -x + 5

if we compare this with the general form of;

y = mx + b

m = -1

If two lines are perpendicular, the product of their slopes = -1

Thus;

m1 * m2 = -1

-1 * m2 = -1

m2 = -1/-1

m2 = 1

The slope of the second line is 1

now, the equation in standard form is;

y = mx + c

m = 1

y = x + c

To get c, substitute the coordinates of the points that is on the line; (36,0)

0 = 36 + c

c = -36

so the equation of the line is;

y = x -36

The minimum value of V occurs at x ≈ 0.93, which means that the volume of the box is smallest when the height is about 0.93 units.

To find the extreme values of V, we need to take the derivative of V and set it equal to zero. So, let's begin:

\(V(x) = x(10-2x)(16-2x)\)
Taking the derivative with respect to x:
\(V'(x) = 10x - 4x^2 - 32x + 12x^2 + 320 - 48x\)
Setting V'(x) = 0 and solving for x:
\(10x - 4x^2 - 32x + 12x^2 + 320 - 48x = 0\\8x^2 - 30x + 320 = 0\)
Solving for x using the quadratic formula:
\(x = (30 ± \sqrt{(30^2 - 4(8)(320))) / (2(8))\\x = (30 ± \sqrt{(1680)) / 16\\x = 0.93 or x =5.07\)
So, the extreme values of V occur at x ≈ 0.93 and x ≈ 5.07. To determine whether these are maximum or minimum values, we need to examine the second derivative of V. If the second derivative is positive, then the function has a minimum at that point. If the second derivative is negative, then the function has a maximum at that point. If the second derivative is zero, then we need to use a different method to determine whether it's a maximum or minimum.

Taking the second derivative of V:
V''(x) = 10 - 8x - 24x + 24x + 96
V''(x) = -8x + 106

Plugging in x = 0.93 and x = 5.07:
V''(0.93) ≈ 98.36 > 0, so V has a minimum at x ≈ 0.93.
V''(5.07) ≈ -56.56 < 0, so V has a maximum at x ≈ 5.07.

Now, to interpret these values in terms of the volume of the box, we need to remember that V(x) represents the volume of a box with length 2x, width 2x, and height x. So, the maximum value of V occurs at x ≈ 5.07, which means that the volume of the box is greatest when the height is about 5.07 units. The minimum value of V occurs at x ≈ 0.93, which means that the volume of the box is smallest when the height is about 0.93 units.

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a) The extreme values of V are:

Minimum value: V(0) = 0

Relative maximum value: V(3) = 216

Absolute maximum value: V(4) = 128

b) The absolute maximum value of V at x = 4 represents the case where the box has a square base of side length 4 units, height 2 units, and width 8 units, which has a volume of 128 cubic units.

a) To find the extreme values of V, we first need to find the critical points of the function. This means we need to find where the derivative of the function equals zero or is undefined.

Taking the derivative of V(x), we get:

\(V'(x) = 48x - 36x^2 - 4x^3\)

Setting this equal to zero and solving for x, we get:

\(48x - 36x^2 - 4x^3 = 0\)
4x(4-x)(3-x) = 0

So the critical points are x = 0, x = 4, and x = 3.

We now need to test these critical points to see which ones correspond to maximum or minimum values of V.

We can use the second derivative test to do this. Taking the derivative of V'(x), we get:

\(V''(x) = 48 - 72x - 12x^2\)

Plugging in the critical points, we get:

V''(0) = 48 > 0 (so x = 0 corresponds to a minimum value of V)
V''(4) = -48 < 0 (so x = 4 corresponds to a maximum value of V)
V''(3) = 0 (so we need to do further testing to see what this critical point corresponds to)

To test the critical point x = 3, we can simply plug it into V(x) and compare it to the values at x = 0 and x = 4:

V(0) = 0
V(3) = 216
V(4) = 128

So x = 3 corresponds to a relative maximum value of V.
b) In terms of the volume of the box, the function V(x) represents the volume of a rectangular box with a square base of side length x and height (10-2x) and width (16-2x).
The minimum value of V at x = 0 represents the case where the box has no dimensions (i.e. it's a point), so the volume is zero.
The relative maximum value of V at x = 3 represents the case where the box is a cube with side length 3 units, which has a volume of 216 cubic units.
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To estimate the frequency spectrum of the signal {1, 9, 0, 1, 4, 9} using the FFT, we apply the FFT algorithm to the signal. The FFT decomposes the signal into its constituent frequencies and provides the corresponding magnitude and phase responses.

(a) By applying the FFT to the given signal, we obtain the frequency spectrum. The magnitude spectrum represents the amplitudes of different frequency components in the signal, while the phase spectrum represents the phase shifts of those components.

(b) To plot the magnitude and phase response of the calculated spectrum, we would need to compute the magnitude and phase values for each frequency component obtained from the FFT.

The magnitude values can be plotted on a graph as a function of frequency, representing the strength of each frequency component. Similarly, the phase values can be plotted as a function of frequency, showing the phase shifts at different frequencies.

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The total amount accumulated from the deposits by Bob's 41st birthday is approximately $24,409.16.

When Bob retires on his 65th birthday, the approximate amount in his IRA will be $144,679.61.

To calculate the amount in Bob's IRA when he retires on his 65th birthday, we need to consider the periodic deposits made from his 24th birthday to his 41st birthday and the subsequent compounding interest until his retirement.

Given:

Bob makes equal deposits of $900 annually from his 24th to 41st birthday (a total of 18 deposits).

The interest rate is 8.1% compounded annually.

First, let's calculate the total amount accumulated from the annual deposits until Bob's 41st birthday. We can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV = Future Value

P = Payment (deposit amount)

r = Interest rate per period

n = Number of periods

Using the given values:

P = $900

r = 8.1% or 0.081 (converted to decimal)

n = 18

FV = 900 * ((1 + 0.081)^18 - 1) / 0.081

≈ $24,409.16

So, the total amount accumulated from the deposits by Bob's 41st birthday is approximately $24,409.16.

Next, we need to calculate the future value of this amount from Bob's 41st birthday to his retirement at age 65. We can use the formula for compound interest:

FV = PV * (1 + r)^n

Where:

FV = Future Value

PV = Present Value (the accumulated amount from the deposits)

r = Interest rate per period

n = Number of periods

Using the given values:

PV = $24,409.16

r = 8.1% or 0.081 (converted to decimal)

n = 65 - 41 = 24 (the number of years from age 41 to 65)

FV = 24,409.16 * (1 + 0.081)^24

≈ $144,679.61

Therefore, when Bob retires on his 65th birthday, the approximate amount in his IRA will be $144,679.61.

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Okay so the first thing we need to do is clarify the terms so that you know what each part of the division is:

What we'll do here is break down each step of the long division process for 10 divided by 3 and explain each of them so you understand exactly what is going on.

The first step is to set up our division problem with the divisor on the left side and the dividend on the right side, like we have it below:

  __

3| 10

We can work out that the divisor (3) goes into the first digit of the dividend (1), 0 time(s). Now we know that, we can put 0 at the top:

   _0_

3 | 10

If we multiply the divisor by the result in the previous step (3 x 0 = 0), we can now add that answer below the dividend:

 _0_

3 | 10

    0

Next, we will subtract the result from the previous step from the second digit of the dividend (1 - 0 = 1) and write that answer below:

 ___

3 | 10

- 0

__

1

Move the second digit of the dividend (0) down like so:

 __0_

3 | 10

 - 0

-----------

10

The divisor (3) goes into the bottom number (10), 3 time(s), so we can put 3 on top:

 __03_

3 | 10

- 0

___

10

If we multiply the divisor by the result in the previous step (3 x 3 = 9), we can now add that answer below the dividend:

 _03_

3 | 10

- 0

__

10

 9

Next, we will subtract the result from the previous step from the third digit of the dividend (10 - 9 = 1) and write that answer below:

  __03_

3 | 10

- 0

__

10

-9

_

1

Your answer is the top number, and any remainder will be the bottom number. So, for 10 divided by 3, the final solution is:

The given series, represented by the expression 6^(-5)/9^x, is convergent for all values of x. The series is convergent from x = -∞ (left end included) to x = +∞ (right end included).

To determine the convergence of the series, we examine the behavior of the terms 6^(-5) and 9^x. The term 6^(-5) is a constant value, and since it is a positive constant, it does not affect the convergence of the series. The term 9^x represents an exponential function with a positive base (9). When x approaches positive or negative infinity, the value of 9^x either increases without bound or decreases without bound, respectively.

In this case, regardless of the value of x, the series 6^(-5)/9^x will always involve dividing a positive constant by a positive term that approaches infinity or zero as x approaches positive or negative infinity, respectively. The division of a positive constant by a term approaching infinity or zero will result in a convergent series.

Therefore, the given series is convergent for all values of x, and it converges from x = -∞ (left end included) to x = +∞ (right end included).

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Answer:

1/5 + 1/3 = 8/15

3/4 - 1/8 = 5/8

The maximum deflection of the beam is 16.875/EI and the slope of the elastic curve at the free end is 56/EI.

A cantilever beam is a beam that is fixed at one end and free at the other.

The load is applied at the free end of the beam.

The maximum deflection and slope of the elastic curve at the free end of a 3m cantilever beam that has a uniform load of 12kN/m and a concentrated load of 2 kN located at the free end is to be determined.

The EI (modulus of elasticity multiplied by the moment of inertia) of the beam is constant.

The double integration method (homogeneous) can be used to solve this problem.

The general formula for deflection is given by:

D = (wx^n)/(2EI) for 0 ≤ x ≤ L ...(1)D = (wx^n)/(2EI) + C1x + C2 for L ≤ x ≤ 2L ...(2)

The maximum deflection occurs at x = L, which is the free end of the beam.

At this point, the deflection of the beam can be calculated as follows:

Dmax = (wL⁴)/(8EI) + (FL³)/(3EI) ...(3)

where w is the uniform load on the beam, F is the concentrated load at the free end of the beam, and L is the length of the beam.

Substituting the values given in the question,Dmax = (12 x 3⁴)/(8 x EI) + (2 x 3⁴)/(3 x EI) = 16.875/EI

The slope of the elastic curve at the free end can be found by taking the first derivative of the deflection equation.

The first derivative of equation (1) is given by:

dD/dx = (w\(x^{n-1}\)))/(2EI) ...(4)

The first derivative of equation (2) is given by:

dD/dx = (w\(x^{n-1}\)))/(2EI) + C1 ...(5)

At x = L, the slope of the elastic curve can be found by taking the first derivative of equation (3).

The first derivative of equation (3) is given by:

dD/dx = (3wL²)/(2EI) + (FL²)/(EI) ...(6)

Substituting the values given in the question,

dD/dx = (3 x 12 x 3²)/(2 x EI) + (2 x 3²)/(EI)

= 54/EI + 2/EI

= 56/EI

Therefore, the maximum deflection of the beam is 16.875/EI and the slope of the elastic curve at the free end is 56/EI.

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Answer: A

Step-by-step explanation:

The Y intercept is his base pay, because no matter what he is getting 38,000. So, his total salary will always start out at 38,000 then continue up with commission sales.

Answer:

5x-2y=-20

Step-by-step explanation:

y-y1=m(x-x1)

y-5=5/2(x-(-2))

y-5=5/2(x+2)

y-5=5/2x+10/2

y-5=5/2x+5

y=5/2x+5+5

y=5/2x+10

y-5/2x=10

-5/2x+y=10

2(-5/2x+y)=2(10)

-10/2x+2y=20

-5x+2y=20

5x-2y=-20

The real zeros of the polynomial function P(x) = x⁵ − 50x³ + 49x are -1, 0, and 1.

To find the zeros of this function, we can factor it by first factoring out an x to get P(x) = x(x⁴ − 50x² + 49). Then, we can factor the quadratic expression inside the parentheses using the difference of squares formula, which gives us P(x) = x(x² − 1)(x² − 49). Simplifying further, we have P(x) = x(x − 1)(x + 1)(x - 7)(x + 7).

Therefore, the zeros of P(x) are the values of x that make each factor equal to zero. This gives us x = -7, -1, 0, 1, and 7. Since all of these values are real, we conclude that the number of real zeros of P(x) is 5.

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Answer:

0.5924%.

Step-by-step explanation:

The requried percentage change in attendance increase from 2010 to now is 0.608%.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

In 2010, the average attendance at a Washington capitals hockey game was 18,397.
This year, the average attendance was 18,506.

Percentage change = 18506 - 18397/18397 × 100%
                              = 0.608%

Thus, the requried percentage change in attendance increase from 2010 to now is 0.608%.

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If the Circle Line travels clockwise around a circular track with a radius of 5 kilometers, you are approximately 24.22 kilometers away from your original starting position.

To determine how many kilometers away you are from your original starting position, we can use geometry and the Pythagorean theorem.

First, we need to find the distance you traveled on the Circle Line. Since you traveled 3/4 of the way around the circular track, we can find the distance traveled by using the formula for the circumference of a circle:

C = 2πr = 2π(5 km) ≈ 31.42 km

So, you traveled 3/4 of the circumference, or:

d = (3/4)C = (3/4)(31.42 km) ≈ 23.56 km

Next, we need to find the distance you traveled on the Town Line, which is 7 kilometers south.

Now, we can use the Pythagorean theorem to find the distance between your current location and your original starting position. Since you traveled on a circular track, your original starting position is the center of the circle, and your current location is the endpoint of the two segments you traveled.

The distance between them is the hypotenuse of a right triangle with legs of 5 km (the radius of the circle) and 23.56 km (the distance you traveled on the Circle Line). Using the Pythagorean theorem, we get:

d = √(5^2 + 23.56^2) ≈ 24.22 km

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Answer:

D is correct

Step-by-step explanation:

In order to correct her mistake and turn the problem back in she needs to subtract 5 - 3 first option (D) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Petri did the following problem but got the wrong answer.

The number expression is:

= (5 - 3) 2 ÷ 3 • 7 + 1

In order to solve the above number expression:

She needs to subtract 5 - 3 first.

= (2)2 ÷ 3 • 7 + 1

= 4  ÷ 3 • 7 + 1

= 4  ÷ 21 + 1

= 4/21 + 1

= 25/21

Thus, in order to correct her mistake and turn the problem back in she needs to subtract 5 - 3 first option (D) is correct.

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Answer:

12000

Step-by-step explanation:

Answer:  here is your answer

Step-by-step explanation:

(9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.

(9.3 × 106) + (1.8 × 10^4)

(9.3 × 106) + (0.018 × 10^6)

(9.3 + 0.018)× 10^6

(9.318)× 10^6

scientific notation

(93.18E+5)

Answer:

<1 and <3

Step-by-step explanation:

They are both symmetric

The direction of the resulting force upon the piling is approximately 298.85 degrees

We can use vector addition to find the direction of the resulting force. Let's call the force exerted by the first bulldozer F1, and the force exerted by the second bulldozer F2. We can represent each force as a vector with a magnitude and direction.

F1 has a magnitude of 1850 pounds and points in a westerly direction. We can represent it as a vector (-1850, 0).

F2 has a magnitude of 3250 pounds and points in a northerly direction. We can represent it as a vector (0, 3250).

To find the resulting force, we need to add these two vectors. We can do this by adding the x-components and the y-components separately.

The x-component of the resulting force is -1850 (from F1) plus 0 (from F2), which is -1850.

The y-component of the resulting force is 0 (from F1) plus 3250 (from F2), which is 3250.

So the resulting force is a vector with components (-1850, 3250). We can find the direction of this vector by taking the inverse tangent of the ratio of the y-component to the x-component.

tan(theta) = (3250) / (-1850)

theta = -61.15 degrees

The negative sign indicates that the resulting force points to the southwest. To get the angle in the range of 0 to 360 degrees, we can add 360 degrees to the angle if it is negative.

theta = 360 - 61.15

theta = 298.85 degrees

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Answer:

m = 5, -1/3

don't know if this is right or wrong

Answer:

if the questio is 3m-7 over 4 -2 than

Step-by-step explanation:

the awanser is 3/4m+ -15/4

Answer:

(2) 18x - 6y = 42

4x + 6y = 24

Step-by-step explanation:

3x -y =7

2x + 3y = 12

This system has solution x=3; y =2.

And also the system (2). So (2) it's the correct answer.

For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is B.

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution for the given system of equation is,

3x-y=7

y = 3x - 7

2x+3(3x-7)=12

2x + 9x - 21 = 12

11x = 33

x = 3

y = 2

The system of the equations which satisfies when the value of x=3 and y =2 is substituted will have the same solution as the above system.

A.) 6x -2y = 14

    -6x + 9y = 36

        18 - 4 = 14

        -18 + 18 = 0

B.) 18x - 6y = 42

    4x + 6y = 24

        54 - 12 = 42

        12+12 = 24

Since, both the equation are satisfied this is our solution.

Hence, the correct option is B.

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Answer:

y - axis

Step-by-step explanation:

point moves from right to left

Answer

Let's get to it!

Step-by-step explanation:

1) There are 15 pounds of chees on that platter. (3+5+3+4=15)

2) The total weight is 32 ounces and 6 pounds.

3) 35 gallons of coffee are brewed per day. (5+5+5+5+5+5+5=35)

4) The cook peeled 50 pounds of potatoes per hour (200 divided by 4)

5) There is a total of 4/8 or 1/2 of an ounce

6) 2/8 ounces of oregano is left.

7) This recipe requires 1 and 1/2 pounds of meat.

(This is all I could do without paper) sorry, hope this helps.