kyle works at a local music store. the store receives a shipment of new cds in a box. in the shipment, there are 10 country cds, 5 rock cds, 12 hip hop cds, and 3 jazz cds. what is the probability that the first cd that kyle pulls from the box will not be hip hop?

a) The quadratic function g(x) = 2f(x-4) + 5 is defined as a transformed version of the original quadratic function f(x). The transformation applied to f(x) is a horizontal shift of 4 units to the left and a vertical shift of 5 units upward. This can be observed from the fact that x is replaced with (x-4) in the function g(x). The function is also scaled by a factor of 2.

How does a quadratic function work?

f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

b) The turning point of the quadratic function f(x) is (-3, 2). To find the turning point of g(x), we must first apply the horizontal shift of 4 units to the left to the x-coordinate, and then apply the vertical shift of 5 units upward to the y-coordinate.

The turning point of g(x) is (-3+4, 2+5) = (1,7)

So, the turning point of the transformed function g(x) is (1,7)

We can see that the transformation of g(x) moves the turning point of f(x) to the right and up, as expected from the transformation.

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Answer:

B. y = 2x² + 5x - 3

Step-by-step explanation:

\(4x^2+10x-2y=6\\\\4x^2+10x-2y-4x^2-10x=6-4x^2-10x\\\\-2y=-4x^2-10x+6\\\\\frac{-2y}{-2}=\frac{-4x^2-10x+6}{-2}\\\\y=2x^2+5x-3\)

The result when the equation is solved for y is y = 2x² + 5x - 3.

To solve the equation 4x² + 10x - 2y = 6 for y, follow these steps:

Step 1: Move all terms containing y to one side of the equation:

4x² + 10x - 6 = 2y

Step 2: Divide both sides of the equation by 2 to isolate y:

(4x² + 10x - 6) / 2 = y

Step 3: Simplify the right side of the equation:

y = 2x² + 5x - 3

So, the result when the equation is solved for y is y = 2x² + 5x - 3.

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Answer:

No

Step-by-step explanation

Since the hypotenuse is 30, that means you can use 12, 15, or 18 in any combination to make a triangle, but you are limited to only being able to use two out of the other three. You can use brute force to answer this question.

The pythagorean theorem:

\(A^{2}+B^{2}=C^{2}\)

and \(30^{2}=900\)

there is no combination of these numbers squared that would get you close to 900.

The percentage error at x₁ = -2.89%

1. For function z = f(x) = 5x^3 + 4

We are to linearize the function at the operating point (x, y) = (0,0)

Here, we have to find z₁ and z₂

For x=0, we get z₁ = 4

For x=1, we get z₂ = 9

So, z = 5x³ + 4 can be written as

z = z₁ + f'(x) (x - 0)

z = 4 + 15x

Percentage error at x₁ = (z - z₂) / z₂ * 100%

Substitute x=1 in the above expression

Percentage error at x₁ = (z - z₂) / z₂ * 100%

Percentage error at x₁ = [(4 + 15 - 9) / 9] * 100%

Percentage error at x₁ = 66.67%

2. For function z = f(x, y) = x² + 2xy + 3y²

We are to linearize the function at the operating point (x, y) = (1,2)

Here, we have to find z₁ and z₂

For x=1, y=2, we get z₁ = 15

For x=2, y=1, we get z₂ = 11

So, z = x² + 2xy + 3y² can be written as

z = z₁ + fx(x - 1) + fy(y - 2)

z = 15 + (2x + 2y - 4) (x - 1) + (4y + 2x - 6) (y - 2)

Percentage error at (x₁, y₁) = (z - z₂) / z₂ * 100%

Substitute x=2, y=1 in the above expression

Percentage error at (x₁, y₁) = (z - z₂) / z₂ * 100%

Percentage error at (x₁, y₁) = [(15 + 2(2) + 2(1) - 4 - 4) / 11] * 100%

Percentage error at (x₁, y₁) = 72.73%

3. For function z = f(x) = cos(x)

We are to linearize the function at the operating point x = 0

Here, we have to find z₁ and z₂

For x=0, we get z₁ = 1

For x=π/6, we get z₂ = 0.866

So, z = cos(x) can be written as

z = z₁ + f'(x) (x - 0)

z = 1 - x

Percentage error at x₁ = (z - z₂) / z₂ * 100%

Substitute x=π/6 in the above expression

Percentage error at x₁ = (z - z₂) / z₂ * 100%

Percentage error at x₁ = [(1 - π/6) / 0.866] * 100%

Percentage error at x₁ = -2.89%

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Answer:

6. a unit rate.

Step-by-step explanation:

Answer: |8| = 8. |-4.09| = 4.09. |11/-15| = 11/15. |+1.7| = 1.7.

Step-by-step explanation: Anything in absolute value is just positive.

Step-by-step explanation:

False

x=3 create a vertical line

a) True, b) False, c) False, d) True, e) False, f) False, g) True

a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.

b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.

c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.

d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.

e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.

f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.

g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.

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Answer:

x=35.5

Step-by-step explanation:

x+(x+7)=78

2x=71

x=35.5

i think this is it

Answer:

true they are similar

Answer:

True

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The time taken by 18 bakers is given as 20 hours.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given problem is the case of Indirect proportion as the time taken is more as the number of bakers are less.

The time taken by 15 bakers is 24 hours.

Then, the time taken by 1 baker is given as 24 × 15 = 360 hours.

The time taken by 18 bakers is computed by taking the ratio as below,

Total time for 1 baker ÷ 18

⇒ 360 ÷ 18 = 20.

The time that will take 18 bakers to complete the work is 20 hours.

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Answer:

The major field of anthroplogy and evolutionary and paleo anthropological perspectives on the origin of humankind

Answer:

10t-2b-2

Step-by-step explanation:

5+2-2123

Answer:

B. The number of men was 1.8 times under the women.

Step-by-step explanation:

So in a ratio like this of 9:5, we will go through each answer choice and see if it matches.

A. When saying there were "4 more men than women", this does not equal a ratio because the same could be true for 14 men and 10 women, which is not a ratio of 9:5

B. Men being 1.8 times under the women would give us an equation similar to this: 1.8m = w Now considering that 9:5 as a fraction does come out to 1.8, this gives potential to accuracy seeing as anything plugged in would automatically be factored through the ratio.

C. Is essentially saying: m/w = 5/9 which would be opposite to the ratio before us, stating men to be more than women. If they were reversed, this answer would be correct.

D. When having 5 out of 9 fans being women, this would mean that the other 4 were men. To correct this statement to make it true, it would have to be "5 out of 14 fans were women"

So after thorough explanation, we can confidently conclude that B is the correct answer. Hope this helped :)

Answer: Lower Quartile: 3    Upper Quartile: 8 Median: 4

Step-by-step explanation:

I don't know if this is 100% accurate as I haven't done this in a while, but I'll try my best to help.

1. The median in the data set would count as the middle, so the median would be between all of the numbers there, which in this case is  4.

2. Since the median is 4, the other two halves are split into five, making it easier to find the other quartile, so the middle number in the area to the left is going to be 3.

3. The last area to the right is like I said before, split into 5, so between the five numbers the middle number of that area would be 8.

  Sorry for the bad explanation, and I hope this helped!

Answer:

22.5 centimetres per second.

Step-by-step explanation:

To get the awnser for this you do the highest length of centimetre which is 90 divided by how many seconds it took to get to 90 centimetres, then we do 90÷4 which equals to 22.5, so the awnser is 22.5 centimetres per second. Hope this helps.

The minimum angle that each leaf of the bridge should open is 47 degrees.

We can use the cosine function to solve this problem. The cosine function gives the ratio of the adjacent side to the hypotenuse of a right triangle. In this case, the adjacent side is the distance between the pivot point and the ship, which is 90 feet. The hypotenuse is the length of each leaf of the bridge, which is 130 feet.

The cosine function is defined as:

cos(theta) = adjacent / hypotenuse

cos(theta) = 90 / 130

theta = cos^-1(90 / 130)

theta = 46.2 degrees

The nearest degree to 46.2 degrees is 47 degrees.

Therefore, the minimum angle that each leaf of the bridge should open is 47 degrees.

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Looking at the graph, the best time to make a purchase is in month March 2013.

Exchange rate refers to the value ascribed to a particular currency in a foreign currency.

We have to find on which month the  American dollar was the strongest

Usually, currency exchange rates are not static but depend on many factors.

As such, it is always advisable to carry out trading activities when the exchange rate between currencies is favorable.

Looking at the graph, the best time to make a purchase is in March 2013.

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Answer:

d = \(\sqrt{53}\)

Step-by-step explanation:    

The appropriate methods for analyzing the variables Birth Rate and Death Rate at the same time would be scatterplot, two-way table, and stacked bar chart.

Scatterplot: A scatterplot can be used to visually display the relationship between two quantitative variables, such as Birth Rate and Death Rate. Each point on the scatterplot represents a pair of values for the two variables, making it easy to identify patterns or trends in the data.

Two-way table: A two-way table can be used to display the distribution of two categorical variables, such as Birth Rate and Death Rate, and how they relate to each other. It can help identify the joint frequency or relative frequency of different categories.

Stacked bar chart: A stacked bar chart can be used to show how two categorical variables, such as Birth Rate and Death Rate, are related to each other. Each bar represents the total frequency for each category, and the bars are divided into sections representing the subcategories of the other variable. This makes it easy to compare the distribution of the two variables across each category.

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From the information provided the measure of the angles are given as, m∠EFH = 71; and m∠EFG = 142°. See the explanation below.

It is to be noted that

m∠GFH = m∠EFH

m∠EFH = 71°

m∠EFG = m∠GFH + mEFH

Hence,

m∠EFG = 71 + 71

= 142°

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Answer:

they are 4 i think

Step-by-step explanation:

5 x 4 = 20

Answer:

100

Step-by-step explanation:

20 divided by 1/5 = 20 x 5/1 = 100

Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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Answer:

I would say 36 sorry i im wrong.

Step-by-step explanation:

The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Scale Factor to go from F to G = 3/4

Scale Factor to go from G to F = 4/3

===============================================

Explanation:

Note the sides labeled 4 and 3 are both opposite the angles that have two tickmarks. Therefore, these two sides correspond to one another.

Because of the similar triangles, the corresponding sides are in proportion. The scale factor is 3/4 meaning the smaller triangle has side lengths 3/4 as large compared to the larger triangle.

Put another way, we have a 25% reduction in the side lengths because 3/4 = 75% and 100% - 75% = 25%

So far, all of this applies when figure F is the preimage and G is the image. If we reverse things, then apply the reciprocal to 3/4 to get 4/3. Now G is the preimage and we go from smaller to larger.

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

Side notes:

The required scale factor for the given transformation is given as 3/4.

Given that,
Two triangles have been shown, is to discuss the transformation and scale factor of the triangle.

The scale factor is defined as the ratio of modified change in length to

Here,
The given figures are similar in shape but not in size,
If the shapes is similar then the ratio of the corresponding sides describes the scale factor between the figures,
So,

Ratio of side = 3 / 4

Thus, the required scale factor for the given transformation is given as 3/4.

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The random variables that are discrete from this set are:

A discrete random variable is a variable that can only take on a finite or countable number of values, meaning that it cannot take on all values within a given interval. The number of people riding on a bus and the number of concert tickets sold are both examples of variables that can only take on a countable number of values. For example, the number of people riding on a bus can only take on values of 0, 1, 2, 3, and so on, while the number of concert tickets sold can only take on values of 0, 1, 2, 3, and so on.

On the other hand, the life span of a parakeet and the height of a person from a class of eight are continuous random variables, meaning that they can take on any value within a given interval. For example, the life span of a parakeet can be any positive number, while the height of a person can be any real number within a certain range.

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