Imagine someone makes $42,000 a year and receives two paychecks per month. The employer withholds 22% of that in federal income tax. What is the amount of each paycheck after federal income tax has been taken out?

Answer: \(\Large\boxed{x=0}\)

Step-by-step explanation:

Given equation

12 = -4(-6x - 3)

Divide -4 on both sides

12 / (-4) = -4(-6x - 3) / (-4)

-3 = -6x - 3

Add 3 on both sides

-3 + 3 = -6x - 3 + 3

0 = -6x

Divide -6 on both sides

0 / -6 = -6x / -6

\(\Large\boxed{x=0}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer: it = 100 thats your answer

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

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Answer:

A frequently-used procedure in algebra is the process of combining like terms. This is a way to "clean-up" an equation and make it much easier to solve. In case you've forgotten, a term is each single part of an expression. For example, in the expression 4x+3+7y 4 x + 3 + 7 y , there are three terms: 4x , 3 , and 7y .

Area of the patio is -6x² + x + 2 square yards and perimeter of the patio is 6 - 2x yards.

A yard is a unit of measurement used to measure length or distance in both the US customary system and the British imperial system. One yard is equal to 3 feet or 36 inches. In the US customary system, a yard is equal to 0.9144 meters, while in the British imperial system, it is equal to 0.9144 meters or 3 feet. Yards are commonly used for measuring larger distances, such as in construction or landscaping, as well as in some sports like American football and cricket.

The area of the rectangular patio is given by multiplying its length by its width, so the area is:

A = (1 + 2x)(2 - 3x)

Now using distributive property we get,

A = 2 - 3x + 4x - 6x²

Simplifying further, we get:

A = -6x² + x + 2

Therefore, the area of the patio is described by the quadratic equation -6x² + x + 2.

To find the perimeter of the patio, we add up the lengths of all four sides. The length and width are given as (1 + 2x) and (2 - 3x), respectively, so the perimeter is:

P = 2(1 + 2x) + 2(2 - 3x)

Simplifying this expression, we get:

P = 2 + 4x + 4 - 6x

P = 6 - 2x

Therefore, the perimeter of the patio is described by the linear equation 6 - 2x.

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Answer:

3

Step-by-step explanation:

Answer:

the equation of the line will be: \(y=x-4\)

Step-by-step explanation:

Equation of line: x + y = 6

We need to write an equation for the perpendicular line that goes through

(5, 1).

The equation will be in slope-intercept form \(y=mx+b\) where m is slope and b is y-intercept

Finding Slope:

Equation of line given is: x+y=6

Writing it in slope-intercept form: \(y=-x+6\)

The slope of this line is m = -1 (By comparing it with \(y=mx+b\) we get m = -1)

Since the required line is perpendicular, their slopes will be opposite inverse of each other i.e. \(m_1=-\frac{1}{m_1}\)

So, slope of required line will be: m=1

Now, using the point (5,1) and slope m=1 we can find y-intercept

\(y=mx+b\\1=1(5)+b\\1=5+b\\b=1-5\\b=-4\)

So, we get y-intercept b = -4

Now, the equation of required line, having slope m=1 and y-intercept b = -4

\(y=mx+b\\y=1x-4\)

So, the equation of the line will be: \(y=x-4\)

The probability density function for U is: f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

The joint distribution for the length of life of two different types of components operating in a system is given by f(y_1, y_2) = {(1/8)y_1 e^-(y_1 + y_2)/2, y_1 > 0, y_2 > 0, 0, elsewhere. We are asked to find the probability density function for U = Y_2/Y_1.

To find the probability density function for U, we first need to find the joint distribution of U and Y_1. We can do this by using the change of variables formula:

f_U,Y_1(u, y_1) = f_Y_1,Y_2(y_1, uy_1) * |J|

where J is the Jacobian determinant of the transformation.

The Jacobian determinant is given by:

J = |∂(y_1, uy_1)/∂(u, y_1)| = |y_1|

So, the joint distribution of U and Y_1 is:

f_U,Y_1(u, y_1) = (1/8)y_1 e^-(y_1 + uy_1)/2 * |y_1| = (1/8)y_1^2 e^-(1+u)y_1/2

Next, we need to find the marginal distribution of U by integrating out Y_1:

f_U(u) = ∫f_U,Y_1(u, y_1) dy_1 = (1/8)∫y_1^2 e^-(1+u)y_1/2 dy_1

This integral can be solved using integration by parts. The final result is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2

So, the probability density function for U is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

This is the final answer.

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

Work Shown:

The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965

Use the pythagorean theorem

a^2+b^2 = c^2

566^2+x^2 = 965^2

x^2 = 965^2 - 566^2

x = sqrt( 965^2 - 566^2 )

x = 781.58108984289 which is approximate

x = 781.6 feet when rounding to one decimal place

I think its just 6.60 divided by six, thats how many each one costs, then multiply it by 3

Hope this helps :)

Answer:

3.3

Step-by-step explanation:

because you can divide 6.60 by 6 which is 1.1 then multiply it by 3

The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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The area of the complex shape is 35.1 square meters.

A unique kind of quadrilateral called a parallelogram has two opposite sides that are parallel to one another. The opposite sides and angles of a parallelogram have equal lengths and measurements.

The given shape is a parallelogram.

Since the opposite sides of a parallelogram are equal, the base of the parallelogram is 27m.

The area of the parallelogram is given by the following formula:

\(A = b *h\)

Where, b is the base and h is the height of the parallelogram.

Substitute the value of b = 27m and h = 1.3m:

A = (27)(1.3)

A= 35.1 square meters.

Hence the area of the complex shape is 35.1 square meters.

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Answer:

C) -2/9

Step-by-step explanation:

\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)

Answer:

Hence, Option (C) - 2/9 is the Answer:

Step-by-step explanation:

-1/6 [3 -15(1/3)^2]

-1/6(3 -15)(1/9))

-1/6(3 - 5/3)

-1/6 (4/3)

Hence, Option (C) - 2/9 is the Answer:

I hope it helps!

Answer:

Step-by-step explanation:

22x + 1 = 8

Send 1 to the right side of the equation

22x = 8 - 1

22x = 7

Divide both sides by 22

x = 7/22

Hope this helps you

On solving the provided question we can say that ordinary number the answer is  1.495 x 10^0

An ordinary number, also known as a standard form number or a decimal number, is a number that is written in the familiar base-10 format, with a whole number part and a fractional part separated by a decimal point.

A) 5.1 x 10¹ as an ordinary number is 51.

B) To work out the value of (1.7 x 10¹) × (8.5 x 10-²), we first need to multiply the two numbers:

(1.7 x 10¹) × (8.5 x 10-²) = 1.7 x 8.5 x 10¹ x 10-² = 14.95 x 10-1

To express the answer in standard form, we need to move the decimal point to the left so that there is only one non-zero digit to the left of it. 14.95 x 10-1 is 1.495 x 10^0. So the answer is 1.495 x 10^0

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Answer: 7.8

Explanation: 8.9 - 2.9 = 6.0 + 1.8 = 7.8

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Answer:

x = 5/2

Step-by-step explanation:

Solve for x:

(5 x)/2 = 25/4

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (5 x)/2 = 25/4 by 2/5:

(2×5 x)/(5×2) = 2/5×25/4

Hint: | Express 2/5×5/2 as a single fraction.

2/5×5/2 = (2×5)/(5×2):

(2×5)/(5×2) x = 2/5×25/4

Hint: | Express 2/5×25/4 as a single fraction.

2/5×25/4 = (2×25)/(5×4):

(2×5 x)/(5×2) = (2×25)/(5×4)

Hint: | Cancel common terms in the numerator and denominator of (2×5 x)/(5×2).

(2×5 x)/(5×2) = (5×2)/(5×2)×x = x:

x = (2×25)/(5×4)

Hint: | In (2×25)/(5×4), divide 25 in the numerator by 5 in the denominator.

25/5 = (5×5)/5 = 5:

x = (2×5)/4

Hint: | In (2×5)/4, divide 4 in the denominator by 2 in the numerator.

2/4 = 2/(2×2) = 1/2:

Answer:  x = 5/2

Answer:

doğru cevap b dir

Step-by-step explanation:

bilmiyim ki ca

Answer:

False.

Step-by-step explanation:

In this equation the first part is correct 2/5 = 0.4 but when you divide 1 by 4 you get 0.25 which is not equal to 0.5, like this:

2 / 5 = 0.4

1/4 = 0.25

But that would mean the equation would look more like this:

0.4 + 0.25 = 0.4 + 0.5

or

0.65 = 0.9

So this equation is false.

Hope this helps you!!

Answer: it is c

Step-by-step explanation:

After simplification of the given monomial 2a²+6²-8a² + x²y - 3x + 9xy², the result is -6a²- 3x + x²y + 9xy² + 12.

So, 2a²+6²-8a² + x²y - 3x + 9xy²:

Now, simplify as follows:

Therefore, after simplification of the given monomial 2a²+6²-8a² + x²y - 3x + 9xy², the result is -6a²- 3x + x²y + 9xy² + 12.

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The number of boxes of lawn seed that will be needed will be 4.

From the information, an area is formed by a square, ABCB, and a semi circle. BD is the diameter of the semi circle.The radius of the semi circle is 4m. The area is going to be covered completely with lawn seed.

The area of the square is s²

= 4²

= 16 m²

The area of the semi-circle is (πr²)/2:

= (π*4²)/2

= 8π m²

The total area is 16 + 8π m²

The number of boxes of lawn seed needed is (16 + 8π)/25 = (8 + 4π)/25

≈ 3.44 boxes

≈ 4 boxes

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9514 1404 393

Answer:

  5x +y = 20

Step-by-step explanation:

The equation of the parallel line will have the same x- and y-coefficients. The constant will be adjusted to make the equation true at the given point.

  5x +y = 5(3) +(5) = 20

The parallel line is ...

  5x +y = 20

Answer:

C

Step-by-step explanation:

Answer:

32°

Step-by-step explanation:

in 32° is right answer

In isosceles triangle, △HAM, m∠H is 74 degree.

A triangle in which any two sides are equal in length and angles opposite to equal side are also equal. And sum of all angles in a triangle is 180.

Given, m∠A = 32°

sum of all angles = 180°

In △HAM

∠H = ∠M

∠H+ ∠A+ ∠M = 180°

2∠H = 180 - 32

2∠H = 148

∠H = 74°

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The given box plot represented by the data sets in option A and B.

From the given box plot, we have

Minimum value = 3

Maximum value = 18

First quartile (Q1) = 7

Third quartile (Q3) = 13

Median = 10

Option A:

3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18

Median = 12

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option B:

3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Option C:

3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option D:

2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Therefore, the correct options are B and D.

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Answer:

The pattern is +4

4.1, 4.5, 4.9, 5.3, 5.7, 6.1, 6.5, 6.9

Step-by-step explanation:

You're welcome.

Answer:

Step-by-step explanation:

gap in partten is 4 any doubt