Which equation represents the graph?

Answer:  -20%

Step-by-step explanation:

Percent of change = \(\frac{New-Original}{Original}*100%\)%

                               = \(\frac{60-75}{75} * 100%\)%

                               ≈ -20%

Plot the points (0, -20) and (10, 5) on a graph, and draw a line connecting them to represent the gross sales function S(x) = -20 + 2.5x.

To draw the graph of the gross sales function S(x) = -20 + 2.5x, we need to plot two points: the S-intercept and another point.

First, let's find the S-intercept. The S-intercept is the value of S when x = 0. Substituting x = 0 into the function, we get:

S(0) = -20 + 2.5(0) = -20

So the S-intercept is -20, which means that when the production facility produces 0 curtains, they will not make any sales.

Now, let's find another point. We can choose any value of x and calculate the corresponding value of S. Let's choose x = 8 (you can choose any other value if you prefer). Substituting x = 8 into the function, we get:

S(8) = -20 + 2.5(8) = 0

So when the production facility produces 8 curtains, their gross sales will be $0. This means that the break-even point is at x = 8, where the revenue from selling the curtains covers the production costs.

To plot the graph, we can use these two points: the S-intercept (-20, 0) and the point (8, 0). The graph should look like this:

```
        |
        |
        |
        |         *
        |      *
        |   *
        |*_______
        0   8    x-axis
              S-axis
```

The x-axis represents the number of curtains produced, and the S-axis represents the gross sales in hundreds of dollars. The graph shows that the gross sales function is a linear function that increases as the number of curtains produced increases. The break-even point is at x = 8, and after that, the production facility starts making a profit.

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If we toss two coins is impossible to get 3 heads (we can get between 0 and 2). So the correct option is D.

For two tossed coins, the possible outcomes are:

So there are 4 possible outcomes.

Then the value of the random variable for the number of heads that is not possible, is the one in option D, 3.

If we toss two coins is impossible to get 3 heads (we can get between 0 and 2).

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the number of roots of the polynomial 7 + 5 x⁴ - 3 x² is 4.

We are given a polynomial:

7 + 5 x⁴ - 3 x²

We need to tell the number of roots that the polynomial has.

a polynomial is an expression consisting of indeterminates and coefficients.

It is the one that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Example: x² − 4x + 7.

We know that:

Number of roots = highest power of the variable of the polynomial

Here, the number of roots will be:

roots = 4

Therefore, we get that, the number of roots of the polynomial 7 + 5 x⁴ - 3 x² is 4.

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Answer:

6 hot dogs package assuming she's buying a single package to contains 10 package or approximately 8 rolls if she buys the 8 package containing above 60 rolls of hot dogs.

In my opinion, she needs at least 8 package of hot dog rolls to make hot dogs for her guests.

Step-by-step explanation:

Hello,

There are typically 10 hot dogs in a single package. However some may contain 8 hot dogs rolls in a single pack so we'll solve for both in case which ever one she decides to buy.

My teacher is expecting 30 guests coming to the party and each 1 one them wants to eat 2 hot dogs.

To solve this question, we would first of all know the total number of hot dogs they'll probably eat at the party.

2 hot dogs = 1 person

y hot dogs = 30 people

y = (30 × 2) / 1

y = 60 hot dog.

Therefore, the guest would most likely consume at least 60 hot dogs at the party.

However, in a single hot dog package, it contains 10 hot dogs in it.

Now we'll have to find out the total number of hot dogs package my teacher needs to buy to prepare the hot dogs for her guests.

To do that, we'll have to divide the total number of hot dogs expected to be consumed by the total number of hot dogs in one package.

Number of package = total number of hot dogs expected to be consumed / total number of hot dogs in one package.

Number of package she needs = 60 / 10

Number of package she needs = 6

Therefore, my teacher requires 6 hot dog package.

But some hot dogs comes in 8 rolls per package

Using the same method above,

Number of rolls she needs = 60 / 8

Number of rolls she needs = 7.5 approximately 8 rolls

In the problem,

the given system of linear equations are 10x1 - 7x2 = 7 ...

(i)-3x1 +2.099x2 + 3x3 = 3.901 ...

(ii)5x1 - x2 +5x3 = 6 ...

(iii)Now, the solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:

x1 = 1.8975, x2 = 1.6677, x3 = 2.00088So, option (d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088 is the correct answer. Therefore, option (d) is the right option.

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The graph that represents the systems of linear equations 2x - y ≥ -3 and y < -2x + 4 is option d

information gotten from the question include

inequality graph showing shaded regions

rearranging the equation to be in the form

y = mx + c

2x - y ≥ -3

2x + 3 ≥ y

y ≤ 2x + 3

The two equations are

y ≤ 2x + 3

y < -2x + 4

some interpretation on the information from the question include

The both inequalities are less than hence the shading for the both will be below the line

This interpretation helps to conclude that last options is the best choice

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Obtuse equilateral, because an obtuse triangle needs one angle that is greater than 90 degrees, but in an equilateral triangle all the angles are 60 degrees because all the sides are equal.

If all sides are equal, then all their non-touching angles are equal.

Hope this helps!

Answer:

x=4

Step-by-step explanation:

2x-3=5

Add 3 to both sides

2x=8

divide both sides by 2

x=4

\(2x - 3 = 5 \)

\(2x = 5 + 3 \)

\(2x = 8\)

\(x = 8 \2( transposing known value to one side to get the value of x)\)

\(x = 4(bringing it to lowest term)\)

Given information:Position of a particle moving along the x-axis varies in time according to the expression x = 3t², where x is in meters and t is in seconds.

To determine the position at the following times. a. t = 3.30 s, b. t = 3.30 s + Δt xf and c. Evaluate the limit of Δx/Δt as Δt approaches zero to find the velocity at t = 3.30 s. a. To find the position when t = 3.30 s, substitute t = 3.30 s in x = 3t².x = 3t² = 3(3.30)² = 32.67 metersTherefore, the position at t = 3.30 s is 32.67 meters.

b. To find the position when t = 3.30 s + Δt, substitute t = 3.30 s + Δt in x = 3t².x = 3t² = 3(3.30 s + Δt)² = 3(10.89 + 6.6Δt + Δt²) = 32.67 + 19.8Δt + 3Δt²Therefore, the position when t = 3.30 s + Δt is 32.67 + 19.8Δt + 3Δt².c. Velocity is given by Δx/Δt.Δx/Δt = [x(t + Δt) - x(t)]/ΔtBy substituting the given values, we have;Δx/Δt = [x(3.30 + Δt) - x(3.30)]/Δt= [3(3.30 + Δt)² - 3(3.30)²]/Δt= 19.8 + 6ΔtTaking the limit of Δx/Δt as Δt → 0, we have;Δx/Δt = 19.8 + 6(0)Δt = 19.8Therefore, the velocity at t = 3.30 s is 19.8 m/s.

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Answer:

Step-by-step explanation:

The equation is y=7x

x      y          Calculation

5     35         y=7x, y=7*5, y=35

6     42         y=7x, y=7*6, y=42

7      49       y=7x, y=7*7, y=49

8     56          y=7x, y=7*8, y=56

The coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score.

The coefficient of variation (CV) is a measure of relative variability, defined as the ratio of the standard deviation to the mean of a dataset. It is expressed as a percentage and provides a way to compare the variability of datasets with different means.

To calculate the CV for SAT scores at this particular college, we first need to calculate the standard deviation of the dataset. We are given that the average SAT score for incoming freshmen is 535 with a standard deviation of 60. Therefore, the standard deviation (s) is 60.

Next, we need to calculate the mean of the dataset. We are given that the mean (μ) is 535.

The coefficient of variation is then given by:

CV = (s / μ) x 100%

Substituting the values, we get:CV = (60 / 535) x 100%

= 0.1121 x 100%

= 11.21%

Therefore, the coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score. This information can be useful in comparing the variability of SAT scores between different colleges, even if their mean scores are different.

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The coefficient of variation for SAT scores at this school is approximately 11.21%.

The coefficient of variation for SAT scores at this school can be calculated using the following formula:

Coefficient of Variation = (Standard Deviation / Mean) x 100

Given the average math SAT score for incoming freshmen at this particular college is 535 and the standard deviation is

60, we can plug these values into the formula:

Coefficient of Variation = (60 / 535) x 100

Now, let's perform the calculations:

Coefficient of Variation ≈ 11.21 %

So, the coefficient of variation for SAT scores at this school is approximately 11.21%.

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Answer:

X IS A WORD TE-PAHADI

Step-by-step explanation:

Answer:

proportion: 6/8 = 3/x

x = 4

Step-by-step explanation:

6/8 = 3/x

6/2 = 3

8/2 = x

8/2 = 4

x = 4

Answer:  14 inches of wire can be bought for 42 cents.

Given, 19 inches of wire costs 57 cents.

We need to find out how many inches of wire can be bought for 42 cents.

Let x be the number of inches of wire that can be bought for 42 cents.

As we know, wire costs at the same rate, we can set up a proportion to solve for x:

19/57 = x/42

Simplifying, we get:

x = (19 × 42)/57

x = 798/57

x = 14

Therefore, 14 inches of wire can be bought for 42 cents.

To solve the given problem, we can use the concept of proportionality. Since the cost of the wire remains the same, we can assume that the rate of change between the cost and the length of the wire is constant. By setting up a proportion using this idea, we can solve for the length of wire that can be bought for a given cost. Thus, 14 inches of wire can be bought for 42 cents.

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A lattice L will be a Boolean algebra if every element in L has a complement and L is distributive.

L cannot be a Boolean algebra.

D is a Boolean algebra.

(a) A lattice L will be a Boolean algebra if it satisfies the following conditions:
1. Every element in L has a complement. This means that for every element a in L, there exists an element b in L such that a ∨ b = 1 (the top element of the lattice) and a ∧ b = 0 (the bottom element of the lattice).
2. L is distributive. This means that for any three elements a, b, and c in L, the following two equations hold: a ∧ (b ∨ c) = (a ∧ b) ∨ (a ∧ c) and a ∨ (b ∧ c) = (a ∨ b) ∧ (a ∨ c).

(b) If |L| = 2, where |L| represents the cardinality (number of elements) of L, we cannot be sure that L is a Boolean algebra. A Boolean algebra must have at least four elements. While a lattice with two elements can satisfy the distributive property, it cannot satisfy the condition of having complements for each element.

For example, consider a lattice L with only two elements, 0 and 1. In this case, there is no element that can act as a complement to either 0 or 1, as there are no other elements in the lattice to pair them with. Therefore, L cannot be a Boolean algebra.

(c) A necessary and sufficient condition for a lattice D (with n ≥ 2) to be a Boolean algebra is that it must satisfy the following conditions:
1. Every element in D has a complement.
2. D is distributive.
3. D is complemented. This means that for every element a in D, there exists an element b in D such that a ∨ b = 1 and a ∧ b = 0.

These three conditions together ensure that D is a Boolean algebra.

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The solution to x/-3-2<-4 is x>18.

In mathematics, inequality is a statement that expresses the relationship between two values, where one value is greater than, less than, or equal to the other. Inequalities can be expressed using symbols such as > (greater than), < (less than), and = (equal to). Inequality can be used to compare two values or expressions, or to determine if a given number is within a certain range. Inequalities can be used to solve problems, such as finding the area of a triangle, or to model real-world situations, such as determining the maximum number of people that can fit in a room.

To solve this inequality, first we subtract 2 from both sides to isolate x:

x/-3<-6

Then, we divide both sides by -3 to solve for x:

x>18

Therefore, the solution to x/-3-2<-4 is x>18.

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A subclass refers to a class that can inherit properties of another class called a superclass. The subclass will have all the characteristics and behavior of the superclass, and it can be modified to meet the unique needs of a specific class. Therefore, if a program uses two classes, airplane, and jumbojet, then the most likely subclass is the jumbojet.

Suppose that the airplane is the superclass that will have all the characteristics and behavior of an airplane. On the other hand, the jumbojet will be the subclass that inherits the features of an airplane. As the subclass, the jumbojet can be modified to have additional features unique to it.

The inheritance concept in programming ensures that there is efficient use of code. It makes it easy to reuse code for creating new classes. When using inheritance, developers avoid copying and pasting code, which can lead to errors and repetition.

Suppose that the airplane and jumbojet are classes representing vehicles in a flight system.

Airplane is the superclass representing all the aircraft, while jumbojet is the subclass representing a specific type of airplane, which is a large passenger aircraft. Therefore, the jumbojet, being a specific type of airplane, is the most likely subclass.

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This is the same as writing 5/20

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

Explanation:

Instead of saying "9 over 20", I'll write 9/20. The same goes with the other fractions.

The 9/20 probability for red means there are 9 red out of 20 total.

Similarly, the 6/20 refers to 6 blue out of 20 total.

There are 9+6 = 15 sections that are either red or blue, but not both.

This leaves 20-15 = 5 sections for green and it leads to 5/20 as the final answer. We could reduce 5/20 to get 1/4, but it looks like your teacher doesn't want you to reduce the fraction. Sometimes it's handy to not reduce because we see that it's out of 20 spaces total.

Answer:

15/20

Step-by-step explanation:

The line integral of xy dx + x^2 dy around the given rectangle is 0.

To evaluate the line integral ∮C (xy dx + x^2 dy) along the given rectangle C with vertices (0, 0), (5, 0), (5, 1), and (0, 1), we can break it down into four line integrals along each side of the rectangle and sum them up.

Along the bottom side:

Parametrize the line segment from (0, 0) to (5, 0) as r(t) = (t, 0), where t ranges from 0 to 5. The differential element along this line segment is dr = (dt, 0). Substituting these values into the line integral, we get:

∫[0,5] (t*0) dt = 0.

Along the right side:

Parametrize the line segment from (5, 0) to (5, 1) as r(t) = (5, t), where t ranges from 0 to 1. The differential element along this line segment is dr = (0, dt). Substituting these values into the line integral, we get:

∫[0,1] (5t0 + 25dt) = ∫[0,1] 25*dt = 25.

Along the top side:

Parametrize the line segment from (5, 1) to (0, 1) as r(t) = (5-t, 1), where t ranges from 0 to 5. The differential element along this line segment is dr = (-dt, 0). Substituting these values into the line integral, we get:

∫[0,5] ((5-t)*0 + (5-t)^2 * 0) dt = 0.

Along the left side:

Parametrize the line segment from (0, 1) to (0, 0) as r(t) = (0, 1-t), where t ranges from 0 to 1. The differential element along this line segment is dr = (0, -dt). Substituting these values into the line integral, we get:

∫[0,1] (0*(1-t) + 0) dt = 0.

Summing up all the line integrals, we have:

0 + 25 + 0 + 0 = 25.

Therefore, the line integral of xy dx + x^2 dy around the given rectangle is 25.

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Based on the calculations, the length of the hypotenuse is 37.36 inches.

Given the following data:

Pythagorean theorem is a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right triangle.

Mathematically, Pythagorean's Theorem is given by this formula:

\(c^2 = a^2 + b^2\)

Where:

Substituting the given parameters into the formula, we have:

\(c^2=36^2 +10^2\\\\c^2=1296+100\\\\c^2=1396\\\\c=\sqrt{1396}\)

c = 37.36 inches.

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Answer:

its d

Step-by-step explanation: 1396

The required probability of a sum of 5 or sum of 7 and the first die shows a 3 or the sum of the result is 6 or 8 are 5/18 and 1/18 receptively.

Probability is just the way that logical something is to occur. Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results — how likely they are. The investigation of occasions administered by likelihood is called statistics.

Two fair dice are thrown then the number of  possible way is 6×6 = 36

a) a sum of 5 or sum of 7 :-

The total possible way for dice occurs sum 5 or sum 7 is (1, 4), (2, 3), (3, 2), (4, 1), (1, 6), (2, 4), (3, 4), (4, 3), (5, 2), (6, 1).

So, the total number possible way for dice occurs sum 5 or sum 7 = 10.

Probability = 10/36 = 5/18

Hence, the probability is 5/18.

b) The first dice shows 3 or the sum of the result is 6 or 8 :-

As, first dice shows 3 we have fixed 3 in first dice or results sum is 6 or 8 then second dice possibilities only consist two number either 3 or 5,

So, total possible ways for first dice shows 3 or sum of result is 6 or 8 is (3, 3), (3, 5).

There are only two ways,

Therefore, probability = 2/36 = 1/18

Hence, the probability is 1/18.

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Answer:

33

Step-by-step explanation:

Start off by subtracting how much she needs, with how much she has. 225 - 18.75 = 206.25. Then you divide by how much she makes an hour, 6.25. Dividing 206.25 by 6.25 will give you 33.

Answer:

33

Step-by-step explanation:

The statement "a. The slope is negative" is true about the slope of the least squares regression line when the correlation coefficient is negative.

When the correlation coefficient is negative, it indicates an inverse relationship between the two variables. In a linear regression, the slope of the line represents the direction and magnitude of the relationship between the independent and dependent variables. A negative correlation coefficient indicates that as the independent variable increases, the dependent variable decreases. Therefore, the slope of the least squares regression line will also be negative.

The slope of the regression line is calculated using the formula: slope = correlation coefficient * (standard deviation of y / standard deviation of x). Since the correlation coefficient is negative and the standard deviation of x and y are positive values, multiplying a negative correlation coefficient by positive standard deviations will result in a negative slope. Hence, option "a. The slope is negative" is the correct statement.

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Answer:

no they're not congruent

For all values of x greater than or equal to -2, the function f(x) = √(x + 2) + 2 will yield real outputs. So, x = -2.

To determine the input value at which the function f(x) = √(x + 2) + 2 begins to have real outputs, we need to find the values of x for which the expression inside the square root is non-negative. In other words, we need to solve the inequality x + 2 ≥ 0.

Subtracting 2 from both sides of the inequality, we get:

x ≥ -2

Therefore, the function f(x) = √(x + 2) + 2 will have real outputs for all values of x greater than or equal to -2.

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The probability that the second card is a jack given that the first card was a 2 is 52/51.

To calculate the probability that the second card is a jack given that the first card was a 2, we need to consider the remaining cards in the deck after the first card is drawn.

When the first card is drawn and it is a 2, there are 51 cards remaining in the deck, out of which there are 4 jacks.

The probability of drawing a jack as the second card, given that the first card was a 2, can be calculated using conditional probability:

P(Second card is a jack | First card is a 2) = P(Second card is a jack and First card is a 2) / P(First card is a 2)

Since the first card is already known to be a 2, the probability of the second card being a jack and the first card being a 2 is simply the probability of drawing a jack from the remaining 51 cards, which is 4/51.

The probability of the first card being a 2 is simply the probability of drawing a 2 from the initial deck, which is 4/52.

P(Second card is a jack | First card is a 2) = (4/51) / (4/52)

Simplifying the expression:

P(Second card is a jack | First card is a 2) = (4/51) * (52/4)

P(Second card is a jack | First card is a 2) = 52/51

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The MATLAB script provided defines a function called "columnproduct" that takes in two matrices, A and B, and an integer k as input parameters.

The function computes the product of A and B by column and returns the result in matrix C. Additionally, the intermediate computations of the first k iterations of the for loop are stored in matrix z.

To test the function, the provided code creates a 4x2 random matrix A and a 2x3 random matrix B. Then, the function is called with k set to 2 to check the intermediate computations. The output of the function, matrix C and matrix z, are stored in variables with the same name.

It's worth noting that the function may not work correctly for random matrices for which the product is not defined, as mentioned in the comments of the code.

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Answer:

{-2, 0, 1, 3}.

Step-by-step explanation:

First of all domain is the x- coordinates. The domain of the relation is

{-2, 0, 1, 3}.

Hope this helped! If so, plz mark brainliest.

The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).

It is the set of all x values and the range represent the set of all y values with respect to the set of ordered pairs. It should be written as the (x,y) at the time when the set of ordered pairs, so first we have to find the domain for x values from the relation.

hence, The domain of the given relation i.e. {(−2, 4), (1, 3), (0, −4), (3, 2)} should be considered as the (2,1,0,3).

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Answer:

-1/2

Step-by-step explanation:

1. The formula to find the slope given two points is \(\frac{y_2-y_1}{x_2-x_1}\). Now, all we have to do is plug in the values.

2. (Solving)

Therefore, the slope is -1/2.

Answer:

Step-by-step explanation:

Use slope formula and substitute given coordinates: