A certain state uses the following progressive tax rate for calculating individual income tax: Income Range ($) 0 - 10,000 10,001 - 50,000 50,001 - 100,000 Progressive Tax Rate 3% 5% 5.5% Calculate the state income tax owed on a $90,000 per year salary. tax = $[?]​

Answer:

The answer is below

Step-by-step explanation:

Let x be the diameter of the semicircle. radius = x/2

The window is a combination of a rectangle and semicircle.

Width of window = diameter = x, let length of the window = y.

Perimeter of semicircle = πr = πx/2

Perimeter of window = x + y + y + πx/2

20 = x + 2y + πx/2

2y + x + πx/2 = 20

2y = 20 - x(1 - π/2)

y = 10 - x(1 - π/2)/2

Area of semicircle = (1/2)πr² = (1/2)π(x/2)²

Area of window = xy + (1/2)π(x/2)²

A = x(10 - x(1 - π/2)/2) + πx²/8

A = 10x - x² - πx²/4 + πx²/8

A = 10x - x² - πx²/8

The maximum area is at dA / dx = 0

dA / dx = 10 - 2x - 2πx/8

0 = 10 - 2x - πx / 4

2x + πx / 4 = 10

2.785x = 10

x = 3.59 feet

Maximum area = 10x - x² - πx²/8 = 10(3.59) - 3.59² - π(3.59²) / 8

Maximum area = 17.95 feet²

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

Answer:

8d+2t+4

Step-by-step explanation:

First Subtract the numbers without variables:

-4+8=4

And now you have to swap 8d and 2t:

8d+2t

Add it all together:

8d+2t+4

Answer:

2t+8d+4

Step-by-step explanation:

If I am doing this correctly we would put 2t and 8d to the side since there is nothing similar to it

Then we would-4+8 which would be 4

Then the answer might be 2t+8d+4

Sorry if it is incorrect!

Answer:

4

Step-by-step explanation:

Pick two points on the line

(0,-5)  and (1,-1)

We can find the slope using

m = (y2-y1)/(x2-x1)

   = ( -1 - -5)/(1 - 0)

  (-1+5)/(1-0)

    4/1

  = 4

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Number of electricians= 4

Number of hours= 6

Now,

We can use the formula:

workers × time = work

where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.

In this case, we know that 4 electricians can complete the job in 6 hours. So:

4 × 6 = work

work = 24

This means that the total amount of work required to complete the job is 24 "units".

Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".

So we have:

3 × t = 24

Dividing both sides by 3, we get:

t = 8

Therefore, by work and time answer will be 3 electricians and 8 hours.

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To prove: If one angle of a triangle is 90°, then the sum of the other two angles is equal to 90°. is sum of angles on a triangle is 180 degrees

In a triangle, the sum of the interior angles in the triangle is 180 degrees

For right triangle, that is angle that has one side as 90 degrees, the sum of the other two sides will be 90 degrees

Assuming the other angles are x and y, then a side is 90 degrees

x + y + 90 = 180 (sum of interior angles on a triangle)

x + y = 180 - 90

x + y = 90 degrees

hence the sum of the interior angles is 90 degrees

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Given:

The two expressions are

\((y\times 1)+2\)

\(y+2\)

To find:

Whether the given expression are equivalent or non-equivalent.

Solution:

If two expressions are looking different but they are equal after simplification, then they are called equivalent expressions.

The first expression is

\((y\times 1)+2=y+2\)

The first expression is equal to the second expression after the simplification.

Therefore, the given expressions are equivalent.

Answer: .04

Step-by-step explanation:

Answer:

1607.68 square miles

Step-by-step explanation:

use pi r squared

Answer:

Step-by-step explanation:

diameter = 64  miles

r =64/2 = 32 miles

Area of semicircle = πr²/2

                              = 3.14*32*32/2

                             = 1607.68 sq.miles

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

Step-by-step explanation:

Ronald

d = d1

r = 44 mph

t = t

Equation: d1 = 44*t

Michael

d = 200 - d1

r = 60 mph

t = t - 1

equation: 200 - d1 = 60(t - 1)

Put Ronald's equation into Michael's. Substitute for d1

200 - 44t = 60(t - 1)              Remove the brackets

200 - 44t = 60t - 60            Add 44t to both sides.

200 = 60t + 44t - 60           Combine

200 = 104t - 60                   Add 60 to both sides

200 + 60 = 104t                  Combine

260 = 104 t                          Divide by 104

260/104 = t

t = 2.5

So they meet at 12 noon + 2.5 hours = 2:30

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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Answer:

there is no picture so I dont know what i have to do..

Given: AE is a tangent to circle OO, m/FAE = 85, m AB = 40, m BC = 16, m CD = 10, m 212 = 55, m ZGAK = 75.What is required to be found out?We need to find mEGAP. So, mEGAP = 230/2 = 115.

Solution:According to the Theorem, "If a line is drawn tangent to a circle at the endpoint of a diameter, then the angle formed by the line and the diameter is a right angle."Therefore, the diameter would be OO.Now, we need to find the value of m EGA.From the angle of the segment, we know that a circle is 360 degrees and that an arc is equal to the angle subtended by it.

If 212° = 55°, then arc AKB = 360° - 212° = 148°.

Similarly, we can calculate arc GAC = 360° - 75° = 285°.So, arc AKC = arc AKB + arc GAC = 148° + 285° = 433°.As arcs AKC and KGD are opposite, they are equal.

Therefore, arc KGD = 433°.It is given that the length of arc KGD is 40+16+10 = 66. Therefore, the length of the entire circle is 433/360 x 66 = 80.02.

Most importantly, the value of m EGA is 360° - 75° - 55° = 230°.Therefore, m EGAP = 230/2 = 115.Answer: m EGAP = 115.

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Answer: -6 i think

Step-by-step explanation:

Answer: -6

Step-by-step explanation: dont forget to mark me as brainlisit

Answer:

Explanation:

Given:

To find the slope intercept form, we use the formula:

y=mx+b

where:

m=slope

b= y intercept

First, we find the slope(m) using the formula:

We plug in what we know.

Next, use any of the given points ( Ex. Let x= -4, y=1) and m=-3/2, and plug in into y=mx+b.

So,

y=mx+b

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

Simplify and rearrange

1=6+b

b=1-6

b=-5

Then, plug in m= -3/2 and b= -5 into y=mx+b.

Therefore, the slope intercept form is:

The calculated area of the plane figure is 467.61 sq ft

From the question, we have the following parameters that can be used in our computation:

The plane figure

The plane figure is a trapezoid

So, we start by calculating the height of the trapezoid as follows (using the pythagorean theorem)

h^2 = 18^2 - (33 - 25)^2

Evaluate

h^2 = 260

So, we have

h = √260

The area of the plane figure is then calculated as

Area = 1/2 * Sum of parallel sides * Height

So, we have

Area = 1/2 * (33 + 25) * √260

Evaluate

Area = 467.61

Hence, the area is 467.61 sq ft

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Answer:

Cadence is flipping her coin 32 times

Step-by-step explanation:

So the fraction is 1/32 which means 32 is the number of times the coin was flipped.

measured angle OCA = 60degrees;

But from the tangent theorem, measured angle OCB = 90degrees;

Thus measured angle ACB = 90 - 60 = 30 degrees.

Also, OC = OA because they represents the radius of the circle,

Thus triangle COA is an issoceles triangle.

Then measured angle OAC = 60 degrees because the base angle angles of an issoceles triangle are equal.

measured angle ABC = x = 180 - 120 - 30 because the sum of angles in a triangle is 180 degrees

Thus x = 30.

Answer:

(-2, 0)

Step-by-step explanation:

Given inequality:

\(2x^2+4x < 0\)

Solve the inequality as though it were an equation:

\(\implies 2x^2+4x=0\)

\(\implies 2x(x+2)=0\)

\(\implies 2x=0 \implies x=0\)

\(\implies x+2=0 \implies x=-2\)

The real solutions to the equation are the boundary points for the solution to the inequality.

Make the boundary points open circles as the original inequality does not include equality.

Three regions have been created:

Select points from the different regions and test to see if they satisfy the original inequality:

\(x=-3 \implies 2(-3)^2+4(-3)=6 > 0\)

\(x=-1 \implies 2(-1)^2+4(-1)=-2 < 0\)

\(x=1 \implies 2(1)^2+4(1)=6 > 0\)

Since x = -3 does not satisfy the original inequality, the region x < -2 is not part of the solution.

Since x = -1 does satisfy the original inequality, the region -2 < x < 0 is part of the solution.

Since x = 1 does not satisfy the original inequality, the region x > 0 is not part of the solution.

Therefore, the solution in interval notation is:

To graph the solution set:

The categorical data, in this case, refers to information that can be sorted into specific categories or groups. Among the options provided, hair color would be considered categorical data.Option c is correct

Hair color falls into distinct categories such as blonde, brown, black, red, or other variations. It is a qualitative characteristic that cannot be measured on a numerical scale.On the other hand, the other options can be classified as numerical data.

The number of siblings (option A) and age (option B) are both quantitative variables that can be represented numerically. They can be counted or measured using specific numerical values. Similarly, height (option D) is a quantitative measurement that can be expressed using numbers or units of length.

In summary, while number of siblings, age, and height are numerical data, hair color is an example of categorical data as it falls into distinct categories or groups.Option c is correct.

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An expression that equals 24 + 3B in standard form is: 36 + 9m

What is standard form ?

To find an expression that equals 24 + 3B in standard form, we first need to find the value of B and then substitute it into the expression.

Given that B = 3m + 4, we can substitute it into 24 + 3B to get:

24 + 3B = 24 + 3(3m + 4)

Simplifying the expression inside the parentheses, we get:

24 + 9m + 12

Combining like terms, we get:

36 + 9m

Therefore, an expression that equals 24 + 3B in standard form is:

36 + 9m

What is an expression?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, ×, ÷, etc.) that represents a value or a relationship between values. Expressions can be simple, such as a single number or variable, or complex, such as a combination of several terms with different operators.

For example, 2x + 3y - 5 is an expression that consists of three terms (2x, 3y, and -5) with two operators (+ and -). This expression can be evaluated for different values of x and y to obtain different numerical results.

Expressions can be used to represent mathematical formulas, describe geometric shapes and patterns, and solve real-world problems in a wide range of fields, including science, engineering, finance, and statistics.

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Complete question is: An expression that equals 24 + 3B in standard form is: 36 + 9m,

Answer: the answer should be A

if this helps the equation format is y= mx + b your replace the with the slop and the b with the y intercept

the way to find the slope is rise over run

Step-by-step explanation:

The computer can occupy a maximum of 1200 bytes of memory.

To determine the maximum memory capacity of a computer that can execute 300 instructions, we need to consider the representation of integers and the storage requirements for instructions.

If each instruction is stored in the entire memory word, it implies that each instruction occupies one memory word. Therefore, the number of instructions executed (300) directly corresponds to the number of memory words required.

The memory capacity of a computer is typically measured in bytes. However, since we are assuming each instruction occupies one memory word, we can consider the memory capacity in terms of memory words.

Hence, the maximum memory capacity this computer can occupy would be 300 memory words.

To convert this capacity into bytes, we need to know the size of a memory word. If we assume the computer uses a 32-bit word size, which is common in many systems, each memory word would consist of 4 bytes (32 bits / 8 bits per byte). Therefore, the maximum memory capacity in bytes would be:

300 memory words * 4 bytes per word = 1200 bytes.

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Answer:

9x + 25

Step-by-step explanation:

m<YWX = m<1 + m<2

= 4x+17 + 5x+8

= 4x+5x + 17+8

= 9x + 25

Answer:

Step-by-step explanation:

L = length    W = width

Length is 1.2 times width ⇒  L = 1.2 x W = 1.2W

Perimeter = 2 x W + 2 x L

                = 2W + 2L = 25

Substitute L = 1.2W into the equation for the perimeter and solve for W

2W + 2L = 25

2W + 2(1.2W) = 25

4.4W = 25

W = 25 ÷ 4.4 = 125/22

Now substitute found value of W into L = 1.2W to find L:

L = 75/11

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Area of triangle ΔCDE  with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ) is 9.5 square units.

We have a triangle ΔCDE with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ). To calculate the area of triangle when its vertices are given we have the formula as shown below,

Area of triangle ΔCDE = \((1/2)(x_{1} (y_{2} - y_{3} ) + x_{2} (y_{3} -y_{1} ) + x_{3} (y_{1} -y_{2} ))\)

Here, \(x_{1}\) = -4 , \(x_{2}\) = -3 ,\(x_{3}\) = -7 , \(y_{1}\) = 2 , \(y_{2}\) = 7 and \(y_{3}\) = 6

On substituting the above values in the formula of area of triangle , we will get

Area of triangle ΔCDE = (1/2)( -4 ( 7 - 6 ) + ( -3 ) ( 6 - 2) + (-7 ) ( 2 - 7 ))

Area of triangle ΔCDE = (1/2) ( - 4 - 12 + 35 )

Area of triangle ΔCDE = 19/2

Area of triangle ΔCDE = 9.5 square units

Area of triangle ΔCDE  with the vertices C( -4 , 2 ), D( -3 , 7 ), and E( -7 , 6 ) is 9.5 square units.

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