State whether the data described below are discrete or continuous, and explain whyThe numbers of voters that are registered with a certain political party in different regionsChoose the correct answer below:A. The data are continuous because the data can take on any value in an interval.B. The data are discrete because the data can take on any value in an interval.C. The data are continuous because the data can only take on specific values.D. The data are discrete because the data can only take on specific values.

!! for 2 and 3 these values are rounded

1) 693.5/18,250 = .038 x 100% = 3.8% commission

2) ~118.5%  --- divide tip/meal then x 100%

3) ~21.33%   divide sale price/over org., then subtract by 100%

Applying the knowledge of quotient and fractions, we have:

The number of soda each person will drink is: \(1\frac{2}{3} \) glasses.

The fraction of sugar to be used per cupcake is: \(1\frac{3}{5} \)

Problem 1:

The expression that matches the situation is: 7 ÷ 3 (quotient of 7 and 3)

7/3 = \(1\frac{2}{3} \)

The number of soda each person will drink is: \(1\frac{2}{3} \) glasses.

Problem 2:

The expression that matches the situation is: 8 ÷ 5 (quotient of 8 and 5)

8/5 = \(1\frac{3}{5} \)

The fraction of sugar to be used per cupcake is: \(1\frac{3}{5} \)

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Parrots are tropical birds. These parrots survive, while most others cannot, due to a variation that allows these parrots to live in colder climate.

Parrots are found on all tropical and subtropical continents and regions including Australia and Oceania, South Asia, Southeast Asia, Central America, South America, and Africa. There are some important facts of Parrots are they can live over 100 years and also speak in like human voice. Parrots weight around 7 pounds.

About the diet of parrot, but all species are vary too what are available in the environment in which they live. Parrots are mostly eating fruits, nuts, chilly, grasses, leafy vegetation and all types of food.

And it also for help us to convey any message and about any story teller.

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Answer is the following

C) x = 0

The linear homogeneous differential equation is  y''' - 8y'' + 400y' - 3200y = 0.

To find a linear homogeneous constant-coefficient differential equation with the given general solution y(x) = C1e^(8x) + C2cos(5x) + C2sin(5x), we need to follow these steps:

Identify the characteristic equation for each term,
For C1e^(8x), the characteristic equation is r = 8.
For C2cos(5x), the characteristic equation is r^2 + 5^2 = 0.
For C2sin(5x), the characteristic equation is also r^2 + 5^2 = 0 (since sine and cosine have the same characteristic equation).

Find the characteristic polynomial,
Since we have three characteristic equations, we multiply them to get the characteristic polynomial:
(r - 8)(r^2 + 25)(r^2 + 25)

Identify the coefficients a, b, and c,
Expand the polynomial:
r^4 - 8r^3 + 400r^2 - 3200r + 6400

From the expanded polynomial, we can see that
a = -8
b = 400
c = -3200

Write the linear homogeneous differential equation,
Using the coefficients from step 3, we can now write the linear homogeneous constant-coefficient differential equation:

y''' - 8y'' + 400y' - 3200y = 0

Thus, the required differential equation is y''' - 8y'' + 400y' - 3200y = 0.

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The length of the rectangular pool is 30 meters.

What is the area of the rectangle?

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

a. Here is a sketch of the swimming pool and hot tubs:

 ____________12m__________

|                         |

8m         Pool          8m

|                         |

|_________________________|

b. Let's start by finding the area of the pool and hot tubs combined:

Area of pool = length × width

Area of each hot tub = side length × side length

Area of the pool and hot tubs = Area of pool + 2 × Area of hot tub

= length × 12 + 2 × 8 × 8

= length × 12 + 128

We know that the total area is 488 square meters, so we can set up an equation:

length × 12 + 128 = 488

Simplifying:

length × 12 = 360

Dividing both sides by 12:

length = 30

Therefore, the length of the rectangular pool is 30 meters.

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The miniature hedge maze has a length that is twice its width and is surrounded by a 2-yard walkway. The total area of the maze and the walkway is 126 square yards. We need to find the width of the hedge maze.

Let's denote the width of the hedge maze as w. Since the length of the maze is twice its width, we can represent the length as 2w.

To find the total area of the maze and the walkway, we need to consider the area of the maze itself (width * length) and the area of the walkway (added to both the width and length).

The area of the maze is given by:

Maze area = width * length = w * 2w = 2w^2

The area of the walkway is calculated by adding 2 yards to both the width and length and subtracting the maze area:

Walkway area = (width + 2) * (length + 2) - Maze area = (w + 2) * (2w + 2) - 2w^2

The total area of the maze and the walkway is given as 126 square yards:

Total area = Maze area + Walkway area = 2w^2 + (w + 2) * (2w + 2) - 2w^2

Simplifying the equation, we get:

126 = 2w^2 + (w + 2) * (2w + 2) - 2w^2

Expanding and simplifying further:

126 = 2w^2 + 4w + 2w + 4 - 2w^2

126 = 6w + 4

Rearranging the equation:

6w = 126 - 4

6w = 122

Dividing both sides by 6:

w = 122 / 6

w = 20.33 (rounded to two decimal places)

Therefore, the width of the hedge maze is approximately 20.33 yards.

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Answer:

0 times

Step-by-step explanation:

L = 1.3245 is  the legnths of the pen's sides .

What is area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)

So W = 30 - 2L.

Area = L x W = L (30 - 2L) = 30L - 2L^2.

This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .

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Answer:

b gang

Step-by-step explanation:

The limit of the function is Lim (x y) - (2,0) [1-cos y / 2xy] is 0.

Evaluate the given limit using the L'Hôpital's Rule, as it is a useful method when dealing with indeterminate forms like 0/0.

The given limit is:

lim (x y) - (2,0) [(1 - cos y) / (2xy)]

Step 1 :- First, we need to check if the limit is in indeterminate form:

As y approaches 0:
1 - cos y approaches 1 - cos(0) = 1 - 1 = 0
2xy approaches 2 * 0 * 0 = 0

So, the limit is in the form 0/0, which is indeterminate.

Step 2:-Now apply L'Hôpital's Rule:

We need to find the derivative of the numerator and the derivative of the denominator with respect to y.

d(1 - cos y)/dy = sin y
d(2xy)/dy = 2x (since x is treated as a constant)

Now, we'll find the limit of the ratio of the derivatives:

Lim (x y) - (2,0) [1-cos y / 2xy]

Step 3:- Substitute the value of the limit, as y approaches 0, sin y approaches sin (0) = 0.

Thus, the limit is:

0 / (2x) = 0

So, the answer is:

Lim (x y) - (2,0) [(1 - cos y) / (2xy)] = 0

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For each angle (in radians), the quadrants in which the terminal side of the angle is found are (a) Quadrant 1, (b) Quadrant 3, and (c) Quadrant 4.

To determine the quadrants in which each of the angles lie, we must find the coordinates of the point on the unit circle that the angle corresponds to. The following are the steps to find the quadrant in which an angle lies:

Step 1: Find the x and y coordinates of the point on the unit circle that corresponds to the angle.

Step 2: Analyze the signs of the x and y coordinates.

Step 3: Use the signs of the x and y coordinates to determine the quadrant in which the angle lies.

Let us discuss each angle separately below:

a) θ=1π/3​ is found in quadrant 1.

We use the following formula to find the x and y coordinates of the point on the unit circle that corresponds to the angle:

x = cosθ = cos (π/3) = 1/2,  

y = sinθ = sin (π/3) = √3/2.

Since both the x and y coordinates are positive, the point lies in the first quadrant.

b) θ=−3π/4​ is found in quadrant 3.

We use the following formula to find the x and y coordinates of the point on the unit circle that corresponds to the angle:  

x = cosθ = cos (−3π/4) = -√2/2,

y = sinθ = sin (−3π/4) = -√2/2.

Since the x coordinate is negative and the y coordinate is negative, the point lies in the third quadrant.

c) θ=11π/6​ is found in quadrant 4.

We use the following formula to find the x and y coordinates of the point on the unit circle that corresponds to the angle:  

x = cosθ = cos (11π/6) = √3/2,

y = sinθ = sin (11π/6) = -1/2.

Since the x coordinate is positive and the y coordinate is negative, the point lies in the fourth quadrant.

We can easily find the quadrant in which the terminal side of an angle lies on the unit circle. We must find the x and y coordinates of the point on the unit circle that corresponds to the angle and then analyze the signs of the coordinates to determine the quadrant in which the point lies.

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In this problem, we are asked to find the derivative of the function f(x) at x = c and find the general solution of a given differential equation.

(a) To find the derivative of the function f(x) at x = c, we need to evaluate f'(c). In this case, f(x) = x + 2x^2 + 2 and c = -2. We can find the derivative by taking the derivative of each term separately:

f'(x) = d/dx(x) + d/dx(2x^2) + d/dx(2).

The derivative of x with respect to x is 1, the derivative of 2x^2 with respect to x is 4x, and the derivative of 2 with respect to x is 0. Therefore,

f'(x) = 1 + 4x + 0 = 4x + 1.

To find f'(-2), we substitute x = -2 into the derivative:

f'(-2) = 4(-2) + 1 = -8 + 1 = -7.

So, f'(-2) = -7.

(b) To find the general solution of the given differential equation dy/dx = (10 - 6x^2) / sqrt(x^3 - 5x + 4), we can separate the variables and integrate:

dy / sqrt(x^3 - 5x + 4) = (10 - 6x^2) dx.

Integrating both sides, we get:

∫ dy / sqrt(x^3 - 5x + 4) = ∫ (10 - 6x^2) dx.

The integral on the left side can be evaluated using appropriate techniques (such as trigonometric substitutions or partial fractions) to obtain an antiderivative. Similarly, the integral on the right side can be computed to find its antiderivative.

Once the antiderivatives are found, the equation can be solved for y to obtain the general solution. However, without the explicit forms of the antiderivatives, we cannot provide the specific expression for y in this case.

Therefore, the general solution for the given differential equation is represented by y = ______ (to be determined using the antiderivatives obtained during integration).

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Answer:

H

Step-by-step explanation:

To find purple, you divide 162 by 3 as there are 3 people who like red for every one person who like purple. To find blue, you need to divide 162 by 3, which is 54, and then multiply it by 9 because there were 9 people who like blue for every person that liked purple.

Answer:

A

Step-by-step explanation:

5/18 = 0.2777 = 0.27° so when you divided thd no. it is 0.277777 and 7 is repeat .

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer :59.9

Step-by-step explanation:

The cοrrect answer tο this questiοn is x = 89°.Tο sοlve this questiοn, we must first calculate the sum οf the interiοr angles οf a clοsed figure, which is always equal tο 360°.

Interiοr angles are angles inside a clοsed shape such as a triangle, quadrilateral, pentagοn, hexagοn οr any οther pοlygοn. These angles are fοrmed by twο lines that intersect inside the shape.

Sum of Interior angle of polygons is given by:

(n − 2) × 180°

Here, n is number of sides = 6

So,

(6 − 2) × 180°

720°

That gives us

149° + 161° + 135° + 59° +127 + x = 720°

631 + x = 720°

x = 720° - 631

x = 89°

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Answer:

64 ounces

Step-by-step explanation:

Since 1 lb = 16 oz, just do 4 × 16 = 64

If puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

There are 16 ounces in a pound.

1 pound= 16 ounces.

Given that puppy weighs 4 pounds.

We have to find the wight in ounces.

To convert pounds to ounces, we need to multiply the weight in pounds by 16.

The puppy weighs 4 pounds x 16 ounces/pound

= 64 ounces

Hence, if puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

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The horizontal line of length 7cm is added as an attachment

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

Line = 7 cm

The following steps would create the perpendicular bisector

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Answer: 72.97 Minutes

Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.

To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.

Relative speed = Speed of car B - Speed of car A

Relative speed = 114 km/h - 77.0 km/h

Relative speed = 37.0 km/h

So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.

To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.

Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours

Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).

Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes

Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.

Hope this helps!

Answer:

So I had this question too so I got the number of miles are shown by how mush winston walked. winston and wilfred walked 2.5 miles, and wayne walked 3 miles.

Step-by-step explanation:

To convert a fraction into a decimal you have to divide the numerator by the denominator. For example, to convert 39/8, you need to divide 39 by 8, which is equal to 4.875.

Answer:

52 miles per hour

Step-by-step explanation: