Solve the following literal equation for y: k = 5y + m

There are breaks in continuity for the function f(x) = tan(nx) at the point when x equals (k + 0.5)/n, where k is an arbitrary integer. These breaks in continuity are not able to be removed.

The 0, denoted by tan(x), exhibits vertical asymptotes at the value of x equal to (k plus 0.5), where k is an integer. The period of the function will shift in response to the addition of the component n to the argument of the tangent function, as seen by the expression tan(nx). The period of the function f(x) = tan(nx) changes to /n as a result of this transformation.

The values of the expression x = (k + 0.5)/n will cause the denominator of the tangent function to become zero, which will result in vertical asymptotes. This holds true for any integer k. These are the places where the function f(x) = tan(nx) breaks down completely into two separate functions.

These discontinuities cannot be removed because they correspond to points in the function's domain where it is not defined. When x gets closer to these values, the function starts to get closer to either positive or negative infinity. It is not possible for us to redefine or eliminate these discontinuities without making significant changes to the behaviour of the function. Because of this, we do not consider them to be removable.

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Answer: Your answer should be (D) Minimum wage and maximum work hours .

The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

What is the discriminant of a polynomial?

The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.

It is represented as ‘D’

D = b² - 4ac

Where,

a is the coefficient of x²

b is the coefficient of x

c is a constant term

x² + 5x + 4 = 0

We have given:

x² + 5x + 4 = 0

Comparing the equation with the standard form.

a = 1, b = 5 and c = 4

Substituting it in the formula

D = 5² - 4 × 1 + 4

By further calculation

D = 25 - 16

D = 9,

The quadratic roots are real and distinct

Therefore, the value of b² - 4ac is 9.

Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

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Answer:

m=-2/3

Step-by-step explanation:

two points from graph:(-1,1) and (-4,3)

m=y2-y1/x2-x1

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

m=2/-3

m=-2/3

Answer:

504 inches

Step-by-step explanation:

Multiply 14 by 36 and get your answer

Two approximations of the area of the region between the graph are

(9, 11)

Given;

To calculate two approximations of the area of the region between the graph of the function and the x-axis across the given interval, use the left and right endpoints and the specified number of rectangles. rectangles f(x) = 2x + 3, [0, 2], 4

The graph is positive and the width of each subinterval will be,

a = 0, b = 2, n = 4

Δx = b-a/n = 2-0/4

     = 0.5

Now for different values;

x → f(x) = 2x+3

x₀ = 0 → f(x₀ ) = 2x+3 = 2(0)+3 = 3

x₁ = 0.5 → f(x₁) = 2x+3 = 2(0.5)+3 = 4

x₂ = 1.0 → f(x₂) = 2x2+3 = 2(1) +3 = 5

x₃ =1.5 → f(x₃) = 2x+3 = 2(1.5)+3 = 6

x₄ = 2 → f(x₄) = 2x+3 = 2(2)+3 = 7

The area by using the approximation using 4 approximating rectangles and right endpoints is given by,

A ≈ R₄ = ∑f(x) Δx = ( ƒ(x1)Δx + ƒ (x2)Δx+ ƒ (x3)Δx + ƒ (x4)Δx)

          = 0.5 (4 + 5 + 6 + 7)

          = 0.5 × 22

          = 11

The area by using the approximation using 8 approximating rectangles and left endpoints is given by.

A ≈ L₄ = ∑f(x) Δx = ( ƒ(x0)Δx + ƒ (x1)Δx+ ƒ (x2)Δx + ƒ (x3)Δx)

          = 0.5 (3 + 4 + 5 + 6)

          = 0.5 × 18

          =9

Thus, 9 < Area < 11.

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Answer:

x = 114

Step-by-step explanation:

since the triangles are congruent, then corresponding angles are congruent, that is

∠ C = ∠ D

x + 18 = 132 ( subtract 18 from both sides )

x = 114

The slope of the second line is also positive, as it is parallel to the first line which has a positive slope.

Slope is a measure of how steep a line is, and is defined as the ratio of the change in the y-coordinate (vertical change) to the change in the x-coordinate (horizontal change) between any two points on the line. It represents the rate at which the line is rising or falling as it moves from left to right. Slope can be positive, negative, or zero. A positive slope indicates that the line is increasing as it moves from left to right, a negative slope indicates that the line is decreasing as it moves from left to right, and a zero slope indicates that the line is horizontal.

Here,

When two lines are parallel, they have the same slope. In this case, the first line has a positive slope of "a," which means that it is increasing as it moves from left to right. Since the second line is parallel to the first line, it will also have the same slope as the first line. Therefore, the slope of the second line will also be positive, indicating that it is increasing as it moves from left to right.

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Answer:

{1,4,7,10,...}

Step-by-step explanation:

the reason is that the sequence has a definite common ratio

that is to say that

4-1=7-4

3=3

but others don't

Answer:

3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.

Answer:

The equation for the description is: \(\mathbf{123=2(2x+x)\:or\:123=6x}\)

Step-by-step explanation:

We need to write an equation for the description.

The length of a rectangle is twice its width. The perimeter of the rectangle is 123 feet.

Let Width of rectangle = x

Length of rectangle = 2x (twice its width means, multiplying 2 with width)

Perimeter of rectangle = 123 feet

The formula used is: \(Perimeter\:of\:rectangle=2(Length\times Width)\)

Putting values and finding equation:

\(Perimeter\:of\:rectangle=2(Length+ Width)\\123=2(2x+x)\)

So, the equation for the description is: \(\mathbf{123=2(2x+x)}\)

You can simplify the equation as:

\(123=2(2x+x)\\123=2(3x)\\123=6x\)

Both equations can be used: \(\mathbf{123=2(2x+x)\:or\:123=6x}\)

the commission rate is 752.

Answer:

$23,081,523

Step-by-step explanation:

Federal income tax- $14,018,164

Social Security- $9,114

Medicare- $891,200

Percent of tax compared to Net Pay

Tax= 39.3%

Net Pay- 60.7%

Answer:

If your annual income in Memphis, TN is $38,000,000, after taxes you'll make $23,081,523.

Step-by-step explanation:

Salary

$38,000,000

Federal Income Tax

- $14,018,164

Social Security

- $9,114

Medicare

- $891,200

Total tax

- $14,918,478

Net pay

* $23,081,523

Marginal tax rate

39.3%

Average tax rate

39.3%

This is based on other resources while calculating this answer.

I hope this helps.

Answer:

65.2 miles

Step-by-step explanation:

26.08 x 2.5=65.2

24 x 2.5=60

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

20-7=13

13^1.50=8.66666666667

Round up with 8 or 9

A random variable assigns one and only one numeric value to each experimental outcome.

A random variable used in experimental trials assign numerical values to the members or elements of the trial. This random variable is used to study the outcome of a trial conveniently.

A random variable assigns one and only one numeric value to each experimental outcome. This assigned numeric value may not be exact. In an experimental trial the possible outcomes are denoted by a random variable. So these values are just practically assigned and not theoretically exact.

There are discrete and continuous random variables. They are usually denoted by capital letters such as X, Y,.. etc. These random variables are used to calculate the probability of each outcome in a trial.

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The weight of each box is 13.5 and 6.25 kg

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is a system of equations,

8x+4y = 133....(i)

3x+2y = 53....(ii)

Solving the equations,

Multiplying the eq(ii) by 2 and subtracting by eq(i)

8x+4y = 133 - (6x+4y = 106)

2x = 27

x = 13.5

Put x = 13.5 in eq (ii)

3(13.5) + 2y = 53

2y = 12.5

y = 6.25

Hence, the weight of each box is 13.5 and 6.25 kg

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Answer:

6 packages

Step-by-step explanation:

30/5 is 6

Answer:

the answer is 6

Step-by-step explanation:

30 divided by 5

Answer:

y= -2/3|x| is the right answer

Step-by-step explanation:

If you substitute x and y values from the graph, this equation turns true.

For example take the value (6; -4) and (-6; -4) from the graph and substitute in the funxtion:

a) -4 = -2/3 |6|

-4 = -4

b) -4 = -2/3 |-6|

-4 = -2/3* 6

-4 = -4

Answer:Exact Form:

x = 4 √2 , − 4 √ 2

Decimal Form:

x = 5.65685424 … , − 5.65685424 …

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

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Answer:

5.78

Step-by-step explanation:

Multiply 13 to both sides to get q by itself

4/9*13=q

this gives you

5.77777778=q

but we need to round it to the nearest hundredth

so

5.78

Answer:

f(-1)= 1 and 9

f(0)= 8 and 16

f(2)= 21 and 30

Step-by-step explanation:

The statement "If the point of diminishing returns occurs at 150 employees, then it does not make sense to hire 151 employees because the 151st worker will exhibit negative returns" is True.

Diminishing returns is a phenomenon that occurs in the short run when one factor of production (variable) is added while keeping all others constant (fixed). The point of diminishing returns is reached when the marginal product (additional output produced by adding one more unit of input) of the variable factor starts to decline and eventually becomes negative. The point of diminishing returns occurs when the benefits gained from adding one more unit of input are less than the cost of that additional unit of input. When a firm is hiring labor to produce output, it needs to make sure that it is operating at the point where the marginal revenue product (MRP) of labor equals the wage rate. This ensures that the firm is maximizing its profit as it is paying labor exactly what they are worth.In the scenario where the point of diminishing returns occurs at 150 employees, then it does not make sense to hire 151 employees because the 151st worker will exhibit negative returns. This means that the additional cost of hiring the worker is more than the additional revenue generated by the worker, leading to a decrease in profits.

Thus, it can be concluded that the statement "If the point of diminishing returns occurs at 150 employees, then it does not make sense to hire 151 employees because the 151st worker will exhibit negative returns" is True.

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Add 17 to both sides-

3s - 17 = 19

+17 +17

Now, divide both sides by 3-

3s/3 = 36/3

Which gives the answer of s = 12

hope this helps !! :)

The approximate perimeter of quadrilateral WXYZ is 14.5 units and the approximate length of segment WX, XY and YZ are 4 units, 2  units and 4 units respectively.

From the given graph, W(3, 1), X(7, -1), Y(7, -3) and  Z(3, -3).

Length of WX is WX=√[(7-3)²+(-1-1)²]

= √20

WX = 4.5 units

The Approximate length of segment WX is 4.5 Units

Therefore, option C is the correct answer.

Length of XY is XY=√[(7-7)²+(-3+1)²]

XY = 2 units

The Approximate length of segment XY is 2 Units

Therefore, option A is the correct answer.

Length of YZ is YZ=√[(3-7)²+(-3+3)²]

YZ= 4 units

The Approximate length of segment YZ is 4 Units

Therefore, option B is the correct answer.

The Approximate length of segment WZ is 4 Units

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Now, perimeter= WX+XY+YZ+WZ

= 4.5+2+4+4

Perimeter = 14.5 units

Therefore, option B is the correct answer.

Therefore, the approximate perimeter of quadrilateral WXYZ is 14.5 units and the approximate length of segment WX, XY and YZ are 4 units, 2  units and 4 units respectively.

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