Which graph represents the function f(x) = –|x + 3|?

Answer:  \(x^{2}+12x+35\)

Step-by-step explanation:

In order to find the entire area of the rectangle, you have to first find the values of each quadrant, then you add the values together to find the answer. The top left quadrant is x times x, which is \(x^{2}\). The top right value is x times 7, which is 7x. the bottom left value is x times 5, which is 5x, and the bottom right value is 7 times 5, which is 35. Put all the answers together and you get \(x^2+5x+7x+35\), which simplifies to \(x^{2}+12x+35\)

The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.

The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.

The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.

The probability of observing k events in the interval is given by the Poisson probability mass function:

P(k) = (e^(-λ) * λ^k) / k!

where e is the base of the natural logarithm, and k is a non-negative integer.

The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.

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20 = 2d -4

24 =. 2d

d = 12

a dice is thrown once, what ia the probality of getting an odd number

using standard z value, 20% of sandwiches are less than 10.58 inches.

In the given question,

Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches.

20% of sandwiches are less than...............inches.

The cumulative standardized normal distribution table indicates a z value of -0.84 for 20%.

From the question we know that

Mean(μ) = 11 inches

Standard Deviation(σ) = 0.5 inches

We have to find less than of 20% of sandwiches for z value of -0.84

P(ƶ<z) = 20%

We can write it as

P(ƶ<-0.84) = 20/100

P(ƶ<-0.84) = 0.20

Since z = -0.84

X-μ/σ = -0.84

Now putting the value

X-11/0.5 = -0.84

Multiply by 0.5 on both side

X-11/0.5 *0.5= -0.84*0.5

X-11= -0.42

Add 11 on both side

X-11+11= -0.42+11

X = 10.58

Hence, 20% of sandwiches are less than 10.58 inches.

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Right question is here

Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches. 20% of sandwiches are less than ................. inches. (The cumulative standardized normal distribution table indicates a z value of -.84 for 20%)

(a) 11.500

(b) 11.42

(c) 10.58

(d) cannot be determined from the information given

The probability that the customer will default. is 0.2337.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

P(missing one month payment | not default) = 0.21

P(missing one month payment | default) = 1

P(missing one month payment) = P(missing one month payment | default) * P(default) + P(missing one month payment | not default) * P(not default)

= 1 * 0.03 + 0.21 * 0.97

= 0.2337

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Answer:

180(n - 2)/n=m

mn= 180(n-2)

180n-mn= 360

n*(180-m)=360

n=360/(180-m)

Answer:

The value of x = 12, makes the statement \(3x=2x+12\)  true

Option D is correct option.

Step-by-step explanation:

What value of x makes this statement true?

\(3x=2x+12\)

We need to solve the equation to find value of x

\(3x=2x+12\)

Subtract 2x on both sides

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

So, the value of x is: x=12

So, The value of x = 12, makes the statement \(3x=2x+12\)  true

Option D is correct option.

Answer:

35

Step-by-step explanation:

Kristen is attempting to solve the equation \(0=\sqrt{6x}-x\). Hence, option b. is the correct answer.

A radical equation has no solution if the square root of a negative number is involved in the equation. The left-hand side of equation b, √(6x), is always non-negative. But the right-hand side, -x, can be negative. So, there is no value of x that can satisfy the equation.

In other words, there is no real number x that would make the left-hand side equal to the right-hand side, so equation b has no solution.

Hence, Kristen is attempting to solve equation 0 = √(6x) - x.

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The complete question is -

Kristen is solving a radical equation and determines that the equation has no solution. Which equation is Kristen attempting to solve?

a. \(\sqrt{27+6x} =x\)

b. \(0=\sqrt{6x}-x\)

c. \(\sqrt{4-x}+9=0\)

d. \(\sqrt{\frac{x}{8}} = \sqrt{90-x}\)

The time to complete 2 levels is (c) 60 minutes

The table of values is given as

Number of Levels     Time (hours)

2                                         ?

3                                         1.5

Express the blank (?) with y

Number of Levels     Time (hours)

2                                          y

3                                         1.5

The ordered pairs from the table are

(x, y) = (2, y) and (3, 15)

The table shows the proportional relationship

This means that the equation can be represented as

y = Y/X * x

Where

(x, y) = (2, y)

(X, Y) = (3, 1.5)

So, we have

y = 1.5/3 * 2

Evaluate the quotient

y = 0.5 * 2

This gives

y = 1 hour

Convert to minutes

y = 60 minutes

Hence, the time is 60 minutes

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Answer:

n = {-1, 7}

Step-by-step explanation:

8n² - 56 = 48n

Subtract 48n from both sides

8n² - 48n - 56 = 0

Divide both sides by 8

n² - 6n - 7 = 0

Factor

alternately use the quadratic equation or complete the square

(n - 7)(n + 1) = 0

n = {-1, 7}

the parametric equations for the sphere of radius 3 centered at the origin are: x = 3sinθcosφ,y = 3sinθsinφ,z = 3cosθ, where 0 ≤ θ ≤ π and 0 ≤ φ ≤ 2π.

The parametric equations for a sphere of radius 3 centered at the origin can be given by:

x = 3sinθcosφ

y = 3sinθsinφ

z = 3cosθ

where θ is the polar angle (measured from the positive z-axis), and φ is the azimuthal angle (measured from the positive x-axis).

These equations describe a point on the sphere in terms of two parameters, θ and φ. For any given values of θ and φ, the equations will give the corresponding x, y, and z coordinates of a point on the sphere.

The parameter θ varies from 0 to π (or 0 to 180 degrees), while φ varies from 0 to 2π (or 0 to 360 degrees), so the sphere can be fully parameterized by the values of θ and φ within these ranges.

So, the parametric equations for the sphere of radius 3 centered at the origin are:

x = 3sinθcosφ

y = 3sinθsinφ

z = 3cosθ

where 0 ≤ θ ≤ π and 0 ≤ φ ≤ 2π.

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Answer:

z = 103

x = 20

Step-by-step explanation:

See photo for steps. You got this… don’t give up. I believe you can do this. Comment if u need me to explain more :)

Answer:

Use the slope formula to find the slope

m=1/4

Step-by-step explanation:

Use the slope formula  y2-y1 over x2-x1 to find the slope m.

(a) The net force acting on this object at t = 1 s is 88 N.

(b) The net force acting on this object at t = 4 s is 0 N.

(c) The net force acting on this object at t = 7 s is -13.2 N.

In the given question, the velocity graph of a 2.2 kg object as it moves along the x-axis.

The given mass = 2.2

a) We have to find the net force acting on this object at t = 1 s.

At t=1 s

Slope of a graph = acceleration

Acceleration = slope

Acceleration = 12/3

Acceleration = 4 m/s^2

Net force, F = m*a

F = 22*4

F = 88 N

So the net force is 88 N.

b) We have to find the net force acting on this object at t = 4 s.

At t = 4 s

Acceleration, a=slope of graph

a = ( 12 - 12) /(3 - 0)

a = 0 m/s^2

The net force , F = m * a

F = 2.2 * 0 = 0 N

c) We have to find the net force acting on this object at t = 7 s.

At t = 7 s

Acceleration, a = ( 0 - 12 ) / (8 - 6)

a = - 6 m/s^2

The net force, F = m * a

F = 2.2 * (-6)

F = -13.2 N

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The complete question is:

The figure(figure 1) shows the velocity graph of a 2.2 kg object as it moves along the x-axis.

(a) What is the net force acting on this object at t = 1 s.

(b) What is the net force acting on this object at t = 4 s.

(c) What is the net force acting on this object at t = 7 s.

Answer:

B yes

Step-by-step explanation:

As long as a verticle line intercepts the graph at no more than one point it is a function

Answer:

B. Yes, because it passes the vertical line test

Step-by-step explanation:

no x values are repeated

Answer:

false

Step-by-step explanation:

4 x (2) = 8

Answer:

False

Step-by-step explanation:

What you need to do is plug 2 in for g.

4g=32

4(2)=32

8=32

This is incorrect, so it is false.

Answer:

Amount needed by her \(=\$(5x+5)\)

Step-by-step explanation:

Given: Susie wants to buy 5 slices of pizza and a litre of soda that cost $5 for her and her friends

To find: amount needed by her

Solution:

Let cost of 1 slice of pizza be \(\$x\). Also, a litre of soda costs $5.

Cost of 5 slices of pizza \(=\$5x\)

Cost of a litre of soda \(=\$5\)

Total amount needed by her \(=\$(5x+5)\)

Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer:

it is FH < HI

Step-by-step explanation:

As the number of people visiting each day is the same 404 people visited on Sunday.

We have,

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.

As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,

= (1212/3).

= 404.

So, On Sunday 404 visitors were there.

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complete question:

The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday

The Standard error of the estimate is 11.6985

The standard error of estimate is the measure of variation of an observation made around around the regression line

Simply, It is used to check the accuracy of prediction made with the regression line. A standard deviation which measures the variation in the set of data from its mean, the standard error of estimate also measured the variation in actual values of Y from the computed values of Y on the regression line.

Given in the question,

coefficient of y-intercept = -12.8094

Coefficient of x = 2.1794

N-1 = 9

=> N = 10

SSE = 1094.842

Standard error of estimate = √SSE(N-2)

where , SSE is sum of square of error

S.E = √(1094.842)/ (10-2)

=> √(1094.842)/8

=> √136,855

=> 11.6985 is standard error

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Answer:

16

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:

1/4 (3/12) plus 5/12 = 8/12

which can be simplified by 4

The rate at which the wage earners and rural households should save is 21%.

Given that:

Depreciation (δ) = 0.03

Capital output ratio (c) = 3

Profit share of income (π/Y) = 0.5

Savings out of capital income (sπ) = 25% = 0.25

We know that the modified Harrod-Domar growth model is given as:

c(g+δ) = (sπ - sW)(Yπ) + sW

We can rearrange the above equation to find the value of savings out of wage income as follows:

sW = c(g+δ - sπ(Yπ))/ (sπ - π/Y)

Plugging in the given values:

sW = 3(0.04 + 0.03 - 0.25(0.5))/ (0.25 - 0.5)

On solving the above equation, we get:

sW = 0.21 or 21%

Hence, the rate at which the wage earners and rural households should save is 21%. Therefore, the required answer is 21%.

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a. When evaluating a model, we use R2 as a parameter for performance assessment.

b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.

c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.

When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.

The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.

When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.

Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.

Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.

It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.

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Answer:5

Step-by-step explanation:I divided 80.0 by 16.0