Taylor makes $13 per hour at the grocery store. she always works between 10-15 hours per week to leave time for her homework and band practice. her gross wages can be modeled as w(h) = 13h, where h is the number of hours worked per week.
1. how much will her gross wages be if she works 12 hours this week?
2. what is the domain of this function?
3. what is the range of this function?

To determine whether the actual fit is an interference fit or a clearance fit, you need to measure the actual sizes of the shaft and hole and compare them to the tolerance limits specified by the H8 and p7 designations.

In a transition fit, such as φ50 H8/p7, the fit allows for both interference and clearance depending on the actual sizes of the shaft and hole.

To determine whether the actual fit formed by the actual shaft and hole is an interference fit or a clearance fit, we need to compare the actual sizes of the shaft and hole with the tolerance limits specified by the H8 and p7 designations.

In this case, the H8 tolerance for the hole indicates a basic hole size with a relatively tight tolerance, while the p7 tolerance for the shaft indicates a basic shaft size with a looser tolerance. The "φ50" specification specifies the nominal size of the fit as 50 mm.

If the actual shaft size falls within the upper limit of the p7 tolerance and the actual hole size falls within the lower limit of the H8 tolerance, the fit will be a clearance fit. This means that there will be a gap or clearance between the shaft and the hole, allowing for easy assembly and potential movement or play between the parts.

On the other hand, if the actual shaft size falls within the lower limit of the p7 tolerance and the actual hole size falls within the upper limit of the H8 tolerance, the fit will be an interference fit. This means that the shaft will be larger than the hole, resulting in a tight fit where the parts are pressed or forced together. This can create friction and require more force for assembly.

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Answer:

$8250

Step-by-step explanation:

In other words, a 15% discount for a item with original price of $55000 is equal to $8250 (Amount Saved). Note that to find the amount saved, just multiply it by the percentage and divide by 100.

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Answer:

Step-by-step explanation:

15% is equivalent to 15/100 or 0.15

So just multiply $55,000 by 0.15.

After multiplying, you should get 8250.

So 8250 is your answer

Given the equation:

Answer:

The answer is B. (2x-3)

The probability that the number of homicide deaths for a randomly selected day is:

a) 0: 0.18,

b) 1: 0.35,

c) 2: 0.27

The Poisson distribution is used to simulate the likelihood that a certain number of events will occur within a predetermined window of time or space.

In this instance, the Poisson distribution can be used to simulate the number of homicide deaths that occurred in Richmond, Virginia over the course of a year.

The Poisson distribution can be used to determine the likelihood of 0, 1, and 2 homicides happening on any given day.

One homicide occurs on a randomly chosen day with a 0.18 percent chance, one homicide occurs on a randomly chosen day with a 0.35 percent chance, and two homicides occur on a randomly selected day with a 0.27 percent chance.

Complete Question:

In one year, there were 116 homicide deaths in Richmond, Virginia. Using the Poisson distribution, find the probability that the number of homicide deaths for a randomly selected day is:

a) 0

b) 1

c) 2

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The length of segment DE is 12/13 and the length of segment EF is 5/13.

What is a segment?

A line segment is a section of a straight line that is enclosed by two clearly defined endpoints and contains every point on the line located within. The Euclidean distance between two ends of a line segment determines its length.

Here, we have

Given: Triangle DEF is similar to triangle ABC.

a. From the given figure:

AC/DF = BC/EF = AB/DE  {similarity: corresponding sides are proportional}

13/1 = 5/EF = 12/DE

DE = 12/13

EF = 5/13

Hence, the length of segment DE is 12/13 and the length of segment EF is 5/13.

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One of the biggest ethical issues many marketers face today relates to consumer privacy and data protection.

In today's digital age, marketers have access to vast amounts of consumer data, including personal information and online behavior. The ethical issue arises when marketers collect, use, and share this data without adequate transparency, consent, or protection of consumer privacy. It raises concerns about invasion of privacy, unauthorized data sharing, and potential misuse of personal information for targeted advertising or other purposes.

Marketers are increasingly under scrutiny to ensure ethical practices in data collection, storage, and usage, balancing the need for effective marketing strategies with respect for individual privacy rights. Failure to address these ethical concerns can lead to loss of trust, reputational damage, and legal consequences for companies. Therefore, marketers must navigate these ethical challenges by adopting transparent and responsible data practices, respecting consumer choices, and implementing robust privacy and security measures.

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Answer:

1 Angle A is 44, 2 angle A is 20.

~~~~~~~~~~~~~~~~~~~~~~~~~~~

The Equation for 1 is x + 45 + 82 + x + 65 = 180 x = -1 A = 44 Degrees

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The Equation for 2 is x + 21 + 130 + x + 31 = 180  x = -1  Angle A = 20 Degree

~~~~~~~~

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Answer: The slope is 2

Step-by-step explanation:

Therefore, the derivative of y with respect to x, y', is given by:\(y' = (-2y - 6xy) / (3x^2 + 2x)\).

To solve for y' using implicit differentiation, we will differentiate both sides of the equation with respect to x, treating y as a function of x. Let's begin:

Differentiating \(3x^2y + 2xy - 16 = 0\) with respect to x:

\(d/dx(3x^2y) + d/dx(2xy) - d/dx(16) = 0\)

Applying the product rule and chain rule:

\((6xy + 3x^2(dy/dx)) + (2y + 2x(dy/dx)) - 0 = 0\)

Combining like terms:

\(6xy + 3x^2(dy/dx) + 2y + 2x(dy/dx) = 0\)

Rearranging the equation and isolating dy/dx:

\(3x^2(dy/dx) + 2x(dy/dx) = -6xy - 2y\)

Factoring out dy/dx:

\((3x^2 + 2x)(dy/dx) = -2y - 6xy\)

Dividing both sides by \((3x^2 + 2x):\)

\(dy/dx = (-2y - 6xy) / (3x^2 + 2x)\)

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Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

  0.2 m

Step-by-step explanation:

You want to know the height of a cylinder with 1 m radius and a volume of 628 liters.

The formula for the volume of a cylinder is ...

  V = πr²h

Using the given values, we have ...

  0.628 m³ = 3.14(1 m)²h

  0.2 m = h . . . . . . . . . divide by 3.14 m²

The depth of the water in the cylinder is 0.2 m.

Answer:

The image is the answer i couldn't type that in so i took a screenshot

Step-by-step explanation:

Noneya

Answer:

Step-by-step explanation:

a) The ordered pair is a solution

b) The ordered pair is a solution

c) The ordered pair is a solution

d) The ordered pair is a solution

e) The ordered pair is a solution

f) The ordered pair is a solution

To determine whether an ordered pair is a solution of an equation, you need to substitute the values of the ordered pair into the equation and check if the equation is true or false.

a) Substitute (2, -1) into one of the equations;

3(2) + 2(-1) = 6 -2 = 4

b) 1 + 4 = 5

c) 4(5) - 5(4)

= 20 - 20 = 0

d) 3(0) - 2(2) = -4

e) y - 3x = -5

-2 - 3(1)

-2 - 3 = -5

f) 10 - 20 = -10

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Answer:

-1049

Step-by-step explanation:

Let's assume it's a arithmetic sequence

a_1 = -26

d = a_2-a_1 = -11

==> a_94 = a_1+93*d = -1049

Answer:

-1071

Step-by-step explanation:

Let the common difference be 'd'.

d is 11

Find the difference from a (first term) and 11

Then use (n-1)

The quarter 2 forecast for year 6 using the "quarterly seasonality without trend" model is ,

a) 1992

Since, To determine the quarter 2 forecast for year 6 using the "quarterly seasonality without trend" model, we can refer to the given Exhibit 4 data.

This model assumes that there is a repeating seasonal pattern in the sales data. Looking at the sales data for quarter 2 in each year (1056, 1156, 1301), we can observe an increasing trend.

Therefore, it is reasonable to expect that the quarter 2 forecast for year 6 would be higher than the previous year's value.

Among the options provided, the highest value is 1992, which could be the quarter 2 forecast for year 6.

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Complete question is,

Using the "quarterly seasonality without trend" model in exhibit4 data, the quarter2 forecast for year 6 is 1992 1189 1243 O 1171 Exhibit4 Quarterly sales of three years are below: Quarter Year 1 Year 2 Year 3 1 923 1,112 1,243 2 1,056 1,156 1,301 3 1,124 1,124 1,254 4 992 1,078 1,198

Define Problem solving: Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution

The solving steps is the step taking to arrive at the answer.

The major problem solving steps are:

(a) Define the problem;

(b) Generate alternative solution;

(c) Evaluate and select an alternative;

(d) Implement and follow up on the solution

What makes a solving step a good one?

A step is consider a good one if preceeding step is connected to the next step without any calculation error.

what makes it a bad one?

A step is consider a bad one if the preceding step is not connected to the next step due to calculation error

How can you tell you choose a useful next step:

One can tell he or she chooses a useful next step by looking back at the solution and reflect on each of the calculations and see that there is no mistake (cross-checking there is no mistake)

Answer: The length of the rectangular prism is 2 inches long

Step-by-step explanation:

The volume of a rectangular prims is its height multiplied by its width multiplied by its length

h×w×l=70

We can sub in the known values of width and height and simplify

5×7×l=70

35l=70

Finally, divide both sides by 35 to isolate l

\(\frac{35l}{35} =\frac{70}{35} \\l=2\)

Answer:

Independent variable

Step-by-step explanation:

Answer:

125

Step-by-step explanation

500 divided by 4=125

Answer:

0

Step-by-step explanation:

Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.

Answer:

15

Step-by-step explanation:

1.5*10 =15

Answer:

15.

Step-by-step explanation:

1.5 x 10 is expanded notation, so you just solve it (by multiplying) to convert it into standard notation.

The correct equation of the line joining (-2,4) and (-1,3) is y = -x + 6.

To find x in the given equations:

wx + 4y = 2x - 7

Let's rearrange the equation to isolate x:

wx - 2x = -7 - 4y

Factor out x:

x(w - 2) = -7 - 4y

Divide both sides by (w - 2):

x = (-7 - 4y) / (w - 2)

zx = h/x

Multiply both sides by x:

\(zx^2 = h\)

Divide both sides by z:

\(x^2 = h/z\)

Take the square root of both sides:

x = ±√(h/z)

Now, let's find the equation of the line joining (-2,4) and (-1,3):

We can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

where (x₁, y₁) are the coordinates of a point on the line, and m is the slope of the line.

Using the points (-2,4) and (-1,3):

Slope (m) = (y₂ - y₁) / (x₂ - x₁)

= (3 - 4) / (-1 - (-2))

= -1 / 1

= -1

Choosing (-2,4) as our reference point:

y - 4 = -1(x - (-2))

y - 4 = -1(x + 2)

y - 4 = -x - 2

y = -x + 2 + 4

y = -x + 6

Therefore, the equation of the line joining (-2,4) and (-1,3) is y = -x + 6.

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Given that the random variables X and Y have a joint pdf of (1/5)(11x^2 4y^2).We have to find E(Y).Formula used: E(Y) = ∫∫yf(x,y)dxdyLimits of integration:

x from 0 to 1 and y from 0 to 2 Solution:We have the joint pdf of X and Y as (1/5)(11x^2 4y^2).∴ f(x,y) = (1/5)(11x^2 4y^2)To calculate E(Y), we need to integrate Y * f(x,y) w.r.t X and Y.E(Y) = ∫∫yf(x,y)dxdyPutting the value of f(x,y), we getE(Y) = ∫∫y(1/5)(11x^2 4y^2) dxdy... (1)

Limits of x is 0 to 1 and y is 0 to 2.∴ ∫∫y(1/5)(11x^2 4y^2) dxdy= (1/5)∫[0,2]∫[0,1]y(11x^2 4y^2)dxdy = (1/5)∫[0,2]((11x^2)/3)y^3∣[0,1]dy∴ E(Y) = (1/5) ∫[0,2] [(11/3)y^3] dy= (11/15) [(1/4)y^4] ∣[0,2]= (11/15) [(1/4)(16)] = 1.466 (rounded off to three decimal places)Therefore, the expected value of Y is 1.466.

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The statement, "It may be appropriate to model data using linear regression if the data points nearly fall on a straight line" is true.

Linear regression is a statistical approach that models the relationship between a dependent variable and one or more independent variables by fitting a linear equation to the observed data.Linear regression is useful for estimating values of a dependent variable based on the values of one or more independent variables. It is commonly used for prediction, forecasting, and modeling. Linear regression is based on the assumption that there is a linear relationship between the dependent variable and the independent variables.Linear regression is appropriate when the data points nearly fall on a straight line.

This is because the linear equation is only an approximation of the relationship between the variables, and if the relationship is not linear, the model may not be accurate or useful. Therefore, it is important to check the linearity of the relationship before using linear regression to model the data.

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Answer:

8 32/35

Step-by-step explanation:

15 5/7 − 6 4/5 =

15 + 5/7 − (6 + 4/5)=

15 + 5/7 − 6 - 4/5=  ==> distribute the negative sign to 6 and 4/5

15 - 6 + 5/7 - 4/5= ==> combine like terms

9 + (5/7 * 5/5 - 4/5 * 7/7)=

9 + (5*5/(7*5) - 4*7/(5*7))=

9 + (25/35 - 28/35)= ==> Now the denominator is the same. 35 is the LCM

                                      of 5 and 7.

9 + (25-28)/35=

9 + (-3)/35=

9 - 3/35 =

8 + 1 - 3/35 =

8 + 35/35 - 3/35 =  ==> 35/35=1

8 + (35-3)/35=

8 + 32/35 = 8 32/35

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Answer:

Interval Notation: [-2, 10]

Set Notation: {x|-2≤x≤10}

Step-by-step explanation:

The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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Answer:

t < 3

Step-by-step explanation:

7t - 8 < 2t + 7

Add 8 to each side:

7t < 2t + 15

subtract 2t from each side:

5t < 15

Divide each side by 5:

t < 3

the angle between 0 and 2π that is coterminal with 17π/4 is π/4.

To find the angle between 0 and 2π that is coterminal with 17π/4, we need to find an equivalent angle within that range.

Coterminal angles are angles that have the same initial and terminal sides but differ by a multiple of 2π.

To determine the coterminal angle with 17π/4, we can subtract or add multiples of 2π until we obtain an angle within the range of 0 to 2π.

Starting with 17π/4, we can subtract 4π to bring it within the range:

17π/4 - 4π = π/4

The angle π/4 is between 0 and 2π and is coterminal with 17π/4.

what is equivalent'?

In mathematics, the term "equivalent" is used to describe two things that have the same value, meaning, or effect. When two mathematical expressions, equations, or statements are equivalent, it means that they are interchangeable and represent the same mathematical concept or relationship.

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