Fast help would be preferred.

The measure of angle ∠WDY is 89° in problem 20.

Two rays (half-lines) that share an endpoint make up an angle. The rays serve as the angle's sides, occasionally serving as the angle's legs and occasionally serving as its arms, while the latter is referred to as the vertex of the angle.

Two angles are said to be congruent by this definition if either of their vertex and side coordinates can be rigidly moved to coincide with the other. The angle may be written as AOB or BOA if O is the vertex and A and B are the points on the two sides (and this for any selection of the two points A and B.)

Given that D is the common point of line segments DW, DX and DY

m∠WDX = 2x - 5

m∠XDY = 52

m∠WDY = 5x - 16

to find m∠WDY

m∠WDY = m∠XDY + m∠WDX

5x - 16 = 52 + 2x - 5

5x - 2x = 52 - 5  + 16

3x = 63

x = 63/3

x = 21

m∠WDY = 5(21) - 16

m∠WDY = 89

Thus, the measure of angle ∠WDY is 89° in problem 20.

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One of the features of interactive model of communication is "Feedback where a recipient of communication such as a listener provides a response to a message, often to indicate understanding after a message has been received."

The Feedback is one of the key features that makes the Interactive Model of Communication different from the Linear Model  based on Shannon and Weaver's mathematical model .

The Feedback allow a reciprocal exchange of messages between the sender and receiver, making communication a dynamic and interactive process.

In the Interactive Model, the feedback enables the receiver to provide feedback to the sender, which allows clarification, confirmation, and correction of messages.

The given question is incomplete , the complete question is

One of the features of the interactive model of communication that is discussed by Turner and West which makes it different from the linear model that was based on Shannon and weaver's mathematical model of communication is ?

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Answer:

(3,-4)

Step-by-step explanation:

+2 only to x if moving left to right

Answer: You would end up at 1 -2.

Step-by-step explanation: I've been doing this for about 2 weeks and I worked it out on a paper.

Answer:

Using the points (0,8)(2,5)(4,2)(6,-1)

Step-by-step explanation:

y=mx+b form/ slope intercept is -3/2x+8

solpe is -3/2

Y-intercept is (0,8)

Answer:

Sum: Not present.

Product: 12 (achieved by using the distributive property to multiply 4 by 3).

Term: x

Factor: Not present (I think.)

Quotient: Not present.

Coefficient 2 (placed before x).

Step-by-step explanation:

Your final result will be: \(\frac{8xy + 12y}{5}\).

From the expression, we get

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are: Constant: A constant is a fixed numerical value. Variable: A variable is a symbol that doesn't have a fixed value.

The distributive property is a property of multiplication used in addition and subtraction. This property states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.

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Based on the information provided, the appropriate population for generalizing conclusions from the study would be C. The conclusions should apply to people at that particular college.

Since the study was conducted using a random sample of 200 people from one college, the conclusions drawn from the study are most likely applicable to the population of people at that specific college. It would be incorrect to assume that the conclusions can be generalized to all people in the same country (Option A), all people within the same city as the college (Option B), people at any college (Option D), or that the conclusions apply only to the sample (Option E).

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The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.

The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.

The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.

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The equation of a parabola with vertex (h,k) is given by:

Starting from the given equation, complete the square to write the function in vertex form:

By comparing that equation with the vertex form of a parabola, we can see that h=1 and k=2.

Therefore, the vertex of the given quadratic polynomial, is:

Answer:

I think its -128x + 6

Step-by-step explanation:

Answer:

To find the second derivative of y with respect to x, we can take the derivative of the given differential equation with respect to x:

dy/dx = xy^4 d/dx(dy/dx) = d/dx(xy^4) d2y/dx2 = y^4 + 4xy^3(dy/dx)

Substituting the given differential equation into the expression for the second derivative, we get:

d2y/dx2 = y^4 + 4xy3(xy4) = y^4 + 4x2y7

In Quadrant II, x is negative and y is positive. Since y^4 and y^7 are both positive for any value of y, the expression for the second derivative simplifies to:

d2y/dx2 = y^4(1 + 4x2y3)

Since x is negative in Quadrant II, the quantity (1 + 4x2y3) is positive. Therefore, d2y/dx2 is positive for all values of x and y in Quadrant II. This means that all solution curves for the given differential equation are concave up in Quadrant II.

Received message. To find the second derivative of y with respect to x, we can take the derivative of the given differential equation with respect to x: dy/dx = xy^4 d/dx(dy/dx) = d/dx(xy^4) d2y/dx2 = y^4 + 4xy^3(dy/dx) Substituting the given differential equation into the expression for the second derivative, we get: d2y/dx2 = y^4 + 4xy^3(xy^4) = y^4 + 4x^2y^7 In Quadrant II, x is negative and y is positive. Since y^4 and y^7 are both positive for any value of y, the expression for the second derivative simplifies to: d2y/dx2 = y^4(1 + 4x^2y^3) Since x is negative in Quadrant II, the quantity (1 + 4x^2y^3) is positive. Therefore, d2y/dx2 is positive for all values of x and y in Quadrant II. This means that all solution curves for the given differential equation are concave up in Quadrant II.

Step-by-step explanation:

The equation of the appropriate line of best fit is y = 1.25x + 2

Start by drawing a line through the points (see attachment)

From the attached graph, we have:

(x, y) = (0,2) and (4,6.5)

Calculate the slope (m) using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (6.5 - 4)/(2 - 0)

Evaluate

m = 1.25

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1.25(x - 0) + 2

Expand

y = 1.25x + 2

Hence, the equation of the appropriate line of best fit is y = 1.25x + 2

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Answer:

A C= 450x + 3,000

Step-by-step explanation:

if Darin sells more than 10 cars, you have to multiplicate 450 * x (number bigger than 10) plus 3000

Answer:

x = 4\(\sqrt{3}\)

y = 8\(\sqrt{3}\)

Step-by-step explanation:

this is a 30-60-90 triangle and the sides have a constant ratio

the side across from the 30°∡ is 1

the side across from the 60°∡ is √3

the side across from the 90°∡ is 2

In this problem we can find 'x' by setting up this proportion:

x/12 = \(\sqrt{3}\)/1

cross-multiply:

\(\sqrt{3}\)x = 12

x = 12/\(\sqrt{3}\)

since we don't like to leave radicals in the denominator, we can multiply both numerator and denominator by \(\sqrt{3}\) to get:

12\(\sqrt{3}\) ÷ \(\sqrt{3}\)·\(\sqrt{3}\)    (\(\sqrt{3}\)·\(\sqrt{3}\) = \(\sqrt{9}\), which equals 3)

so we have 12\(\sqrt{3}\)/3, which is 4\(\sqrt{3}\)

The 'y' value will be twice the 30° side, so 8\(\sqrt{3}\)

The height and radius of the cup are 4.41 cm and 2.07 cm respectively

To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3}  πr^{2} h = 36 cm^{3}\)

Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)

Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2}  }\)

Substituting the expression for h, we get:

\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)

To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) =  \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5}  }] - \frac{108π}{r^2 }  = 0\)

Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)

Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)

Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)

Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)

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Answer: The answer to this question is 16.75.

Step-by-step explanation:

 16.40

+ 0.35            

 16.75

Given:

\(\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3\)

To find:

The value of given expression by using the Laws of Exponents.

Solution:

We have,

\(\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3\)

Using the Laws of Exponents, we get

\(=\left(-\dfrac{2}{3}\right)^{1+3}\)      \([\because a^ma^n=a^{m+n}]\)

\(=\left(\dfrac{-2}{3}\right)^{4}\)

\(=\dfrac{(-2)^4}{(3)^4}\)      \([\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}]\)

\(=\dfrac{(-2)\times (-2)\times (-2)\times (-2)}{(3)\times (3)\times (3)\times (3)}\)

\(=\dfrac{16}{81}\)

Therefore, the value of given expression is \(\dfrac{16}{81}\).

Answer:

Let s be the speed of the plane. Then s - 100 is the speed of the car.

640/s = 240/(s - 100)

640(s - 100) = 240s

8(s - 100) = 3s

8s - 800 = 3s

5s = 800, so s = 160 mph

The speed of the plane is 160 mph, and the speed of the car is 60 mph.

Answer:

5 divided by 2

Step-by-step explanation:

1/2 * 5 = 5/2

5/2 = 5 divided by 2

Answer:

Bird swoops down by 107 feet to grab a mouse on top of a \(3\) foot tall rock

Step-by-step explanation:

Given

The level of mouse from the ground is \(3\) foot as it is on the top of a  \(3\) foot  tall rock.

The level of bird at which it is flying from the ground is \(110\) feet

Change in elevation when the bird swoops down to grab the  mouse

\(= 110 -3\\= 107\)feet

Bird swoops down by 107 feet to grab a mouse on top of a \(3\) foot tall rock

Answer:

Step-by-step explanation:

Given a triangle with angles 60° and 60°. Let the third angle be represented by x, so that;

x + 60° + 60° = \(180^{o}\) (sum of angle in a triangle)

x + 120 = \(180^{o}\)

x = \(180^{o}\) - 120

x = 60°

Thus, since the third angle of the triangle is 60°, then the triangle is an equilateral triangle. For an equilateral triangle, all sides are equal and all its angles are equal. So that the other sides of the triangle is 10 each.

<ABC ≅ <BAC ≅ < ACB ≅ 60°

AB = BC = AC = 10 cm

The required construction for the question is attached to this answer for more clarifications.

Answer:

It's an obtuse angle

Step-by-step explanation:

Answer:

$31

Step-by-step explanation:

You have to do 6.5*4 first since 4 is the number of hours. With that, you will get 26. After that, you need to add a 5 since 5 is the flat fee. At the end, you will get $31.

Answer:

$180

Step-by-step explanation:

Interest = Principal * rate * time

             = 600 * .03 * 10

             = 180

Principal + Interest = Total value

     $600 + $180 = $780

If a four digit personal identification number is selected, then the probability that there are no repeated digits is 0.504

Number of digits in the identification number = 4

0, 1, 2, 3, 4, 5, 6, 7, 8 and 9

There are 10 digits

The probability = Number of favorable outcomes / Total number of outcomes

Total number of outcomes = 10 × 10 × 10 × 10

= 10000

Number of outcomes that digits wont repeat = 10 × 9 × 8 × 7

= 5040

Substitute the values in the equation of probability

The probability = 5040 / 10000

= 0.504

Therefore, the probability there are no repeated digits is 0.504

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Ben Collins plans to buy a house for $184,000, and if the real estate in his area is expected to increase in value by 3 percent each year, its approximate value will be around $208,943.95 six years from now.

To calculate the approximate value of the house six years from now, we can use the formula for compound interest: \(\(A = P(1 + r/n)^{nt}\), where \(A\)\) is the future value, \(\(P\\)) is the principal amount, \(\(r\)\) is the annual interest rate (expressed as a decimal), \(\(n\)\) is the number of times that interest is compounded per year, and \(\(t\)\) is the number of years.

In this case, the principal amount is $184,000, the annual interest rate is 3 percent (or 0.03 as a decimal), the compounding is done annually \((so \(n = 1\))\), and the time period is 6 years. Plugging these values into the formula, we get:

\(\(A = 184,000(1 + 0.03/1)^{(1)(6)}\)\)

Simplifying the equation, we have:

\(\(A = 184,000(1.03)^6\)\)

Evaluating this expression, we find:

\(\(A \approx 208,943.95\)\)

Therefore, the approximate value of the house six years from now would be around $208,943.95, assuming a 3 percent annual increase in real estate value.

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the optimal solution to maximize Z is x1 = 25 and x2 = 0, with Z = 3000.

To solve the given linear programming model graphically, we need to plot the feasible region and identify the corner points to find the optimal solution. Here's the step-by-step process:

1. Plot the constraints:

  - Plot the line x1 = 40 (vertical line at x1 = 40).

  - Plot the line x2 = 10 (horizontal line at x2 = 10).

  - Plot the line 20x1 + 10x2 = 500 (which can be rewritten as 2x1 + x2 = 50).

  - Shade the feasible region that satisfies all the constraints.

2. Identify the corner points:

  - Determine the coordinates of the corner points where the boundary lines intersect.

3. Evaluate the objective function:

  - Calculate the value of the objective function Z = 120x1 + 80x2 for each corner point.

4. Determine the optimal solution:

  - Select the corner point that maximizes the objective function Z.

Here's the graphical representation of the feasible region:

      |

 40   |           C

      |          /

      |         /

      |        /

      |       /

      |      /

      |     /    Feasible Region

 10   |_____/_________________

      0   10  20  30  40  50

            0`

The corner points of the feasible region are:

A: (0, 0)

B: (0, 10)

C: (25, 0)

D: (20, 5)

Now, we evaluate the objective function Z = 120x1 + 80x2 for each corner point:

Z(A) = 120(0) + 80(0) = 0

Z(B) = 120(0) + 80(10) = 800

Z(C) = 120(25) + 80(0) = 3000

Z(D) = 120(20) + 80(5) = 2400

From the above calculations, we can see that the maximum value of Z occurs at point C: (25, 0).

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Answer: Caravans

Step-by-step explanation:

The solution of the equation when p = -1 is \(T=3x^{-2}\)

The equation is given as:

\(T=3x^{2p}\)

The value of p is -1.

So, we have:

\(T=3x^{2*-1}\)

Evaluate the product

\(T=3x^{-2}\)

Hence, the solution of the equation when p = -1 is \(T=3x^{-2}\)

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