A 28% income tax on a 80,000 income

Samantha, this is the solution to problem 5:

With the information given in the statement you can solve for k, where k is the center in y:

(x-h)^2 + (y-k)^2 = r^2

(6-3)^2 + (5-k)^2 = (√(13))^2

(3)^2 + (5-k)^2 = 13

9+(5-k)^2 = 13

(5-k)^2 = 4

√((5-k)^2) = √4

5-k = 2

-k = -3

k = 3

Then the equation of the circle will be

(x-3)^2 + (y-3)^2 = 13

Answe YEAH BOIIIIII!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

The answer is down below

Step-by-step explanation:

Let Thomas height this year be x

x=(x-1)+5%

The equivalent value to 2.76 is C. two and nineteen twenty-fifths.

An equivalent value is an amount or numerical expression possessing the same value as the other.

Equivalent values are expressed as equations, using the equation symbol (=).

Equations are a class of the properties of mathematical expressions, including numbers and variables.

Two and nineteen twenty-fifths = 2¹⁹/₂₅.

When expressed as a decimal, 2¹⁹/₂₅ = 2.76.

Thus, 2.76%, 27.6%, or twenty-five over nineteen are not equivalent values of 2.76 but 2¹⁹/₂₅.

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Answer:

Its A

Step-by-step explanation:

7x + 3 =17

            -3  ( 17 -3 = 14)

7x =  14.  (14 divided by 7)

u get x=2

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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To calculate the total cost of molding for the room,

We need to find the perimeter of the room excluding the areas where no molding is needed (door, closet, and bathroom).

Given the dimensions provided in the figure:

Looking at the figure, we can determine the lengths of the walls that require molding:

The wall opposite the door has a length of 20 ft.

The wall with the closet has a length of 3 ft.

The wall with the bathroom has a length of 8 ft.

The remaining wall has a length of 18 ft.

The length of the room is 20 ft.

The closet has a width of 3 ft and is located along one side of the room.

The bathroom has a width of 8 ft and is also located along one side of the room.

To calculate the perimeter of the room, we add the lengths of the sides, excluding the areas with no molding:

Perimeter = (20 ft - 3 ft - 8 ft - 3 ft) + 20 ft

Simplifying the equation:

Perimeter = 20 ft + 20 ft - 3 ft - 8 ft - 3 ft

Perimeter = 26 ft

Now, we can calculate the total cost of molding by multiplying the perimeter by the cost per foot:

Total Cost = Perimeter * Cost per foot

Total Cost = 26 ft * $2/ft

Total Cost = $52

Therefore, the total cost of molding for the room would be $52.

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The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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Answer:

5

Step-by-step explanation:

trust

Answer:

(4+6)/(2•1)

(4+6=10)/(2×1=2)

10÷2

5

Answer:

The sum of the legs is equal to the hypotenuse.

Step-by-step explanation:

I hope that this helps u..

Answer:

The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).

The factor of the polynomial is P(x) = (x² - 4)(x² + 1) and the zeros are x = i, x = -i, x = 2 and x = 4

From the question, the polynomial expression is given as

P(x) = x⁴ - 3x² - 4

Start by expanding the polynomial

So, we have

P(x) = x⁴ - 4x² + x² - 4

Group the expanded expression as follows

So, we have

P(x) = (x⁴ - 4x²) + (x² - 4)

Factor each group

So, we have

P(x) = x²(x² - 4) + 1(x² - 4)

Factor out (x² - 4)

P(x) = (x² - 4)(x² + 1)

Set to 0

(x² + 1)(x² - 4) = 0

This gives

x² + 1 = 0 or x² - 4 = 0

Solve for x

x² = -1  or x² = 4

So, we have

x = i, x = -i, x = 2 and x = 4

The graph of the function is added as an attachment

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9514 1404 393

Answer:

  inverse

  y = 10/x

Step-by-step explanation:

Inverse variation is described by an equation of the form ...

  y = k/x

The value of k is a constant equal to ...

  k = xy = 5·2 = 10·1 = 15·2/3 = 20·1/2 = 10

__

Here, the products of the x- and y-values are all 10, so the inverse variation equation is ...

  y = 10/x

The speed of the plane is equal to 120 mph.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, speed can be measured by using miles per hour (mph).

Mathematically, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Time = distance/speed

Let the variable s represent the speed of the plane in miles per hour. Therefore, an equation that models the situation can be written as follows;

240/s = 80/s - 80

80s = 240s - 19200

19200 = 160s

s = 19200/160

s = 120 mph.

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Answer:

x = 2, y = 6

Step-by-step explanation:

Hi there!

The equation for the cost of baskets of tomatoes can be represented as

3x+5y = 36

The number of baskets can be represented as

x + y = 8

I will be using the substitution method for this question.

First, we have to solve for a variable. X will be easiest in this case.

Multiply the bottom equation by -3 to cancel out 3x and -3x.

Your equation will become \(-3x - 3y = -24\)

After the x values are cancelled out, add the values from the top equation into the values of the bottom equation.

this becomes \(2y = 12\), or y = 6.

Now that we know the y-value, plug it in either original equation to find x.

x = 2

Answer:

b = 13.5

Step-by-step explanation:

2 -b/3 = -5/2

im assuming we want to find b. therefore we want b = something. so because b is on top of a fraction right now, I will multiply both sides by 3 so -b is not on top of a fraction anymore.

6 -b = -15/2

we should get rid of the divided by 2 on the other side too, to make it easier. we can do this by multiplying 2 on both sides.

12 - 2b = -15

remember, we want to isolate b. so first we should get rid of the 12 next to the 2b. we can do this by subtracting 12 on both sides!

-2b = -27  

finally, we can divide both sides by -2 and b will be isolated!

b = 13.5

Answer:

M=6 OR slope=6

Step-by-step explanation:

Use slope formula

Answer:

Step-by-step explanation:

Slope is defined as the change of y over the change of x or rise over run. This is calculated by subtracting the second set of vales from the first set of values.

For y:

We have 10 and 4 for the y coordinates (y is the second number in a coordinate set). We will subtract 4 from 10, to get a result of 6.

For x:

We have 3 and 0 for the x coordinates (x is the first number in a coordinate set). We will subtract 0 from 3, to get a result of 3.

Slope is 6/3 or 2/1

Answer:

I got you

Step-by-step explanation:

6.05-12.50=13.55

48 divided by 13.55=3.542

x=3.542

Answer:

X= 1

Step-by-step explanation:

6.05x-12.5=48 Add 12.5 to both side

         +12.5 +12.5

6.05x = 60.5 now divide both sides by 6.05

/ 6.05    /60.5

X     =  1

Answer:

A

Step-by-step explanation:

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answer:

B. 7/10

Step-by-step explanation:

Step 1:

1/2 + 1/5

Step 2:

5/10 + 2/10 = 7/10

Answer:

7/10

Hope This Helps :)

Answer:

b. 7/10

Step-by-step explanation:

1/2 +1/5 =7/10 you add

Answer:

We can rewrite the function as:

f(x) = 3(8√3)^(2x) = 3(2^3√3)^(2x)

Using the properties of exponents, we can rewrite this as:

f(x) = 3(2^(3*2x)√3^(2x)) = 3(2^(6x)√(3^(2x)))

Therefore, the base of the exponent is 2.

1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.

To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.

Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.

To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.

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Answer:

\( x = 10.4 \)

Step-by-step explanation:

Since ∆ABD is similar to ∆CBE, therefore, the ratio of their corresponding side lengths would be equal to each other. Thus:

\( \frac{BD}{BE} = \frac{AD}{CE} \)

BD = 12 cm

BE = x

AD = 27 cm

CE = 23.4 cm

Plug in the values

\( \frac{12}{x} = \frac{27}{23.4} \)

Cross multiply

\( x \times 27 = 23.4 \times 12 \)

\( 27x = 280.8 \)

Divide both sides by 27

\( x = 10.4 \)

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

\((x+1)^{2} +(y+2)^{2} =20\)

Step-by-step explanation:

Using the mid point formula to find the center of the circle:

midpoint = \((\frac{x_{1} +x_{2} }{2} ,\frac{y_{1} +y_{2} }{2} )\)

Midpoint = \((\frac{3+-5}{2} ,\frac{0+-4}{2} )\)

Midpoint = \((-1,-2)\)

The midpoint is the same as the centre of the circle

Find the distance(the diameter of the circle) between those two points to find the radius:

Distance formula = \(\sqrt{(y_{2}-y_{1} )^{2} +(x_{2} -x_{1} ) ^{2} }\)

Distance formula = \(\sqrt{(-4-0)^{2} +(-5-3)^{2} }\)

Distance formula = \(\sqrt{16+64}\)

Distance formula = \(\sqrt{80}\)

So,the diameter is \(\sqrt{80}\) and to find the radius we need to divide the diameter by two

Radius = \(\frac{\sqrt{80} }{2}\)

Radius = \(2\sqrt{5}\)

the equation of circle:

Radius = \(2\sqrt{5}\)

Center = (-1,-2)

\((x-h)^{2} +(y-k)^{2} =r^{2}\)

\((x- -1)^{2} +(y- - 2)^{2} =(2\sqrt{5} )^{2}\)

\((x+1)^{2} +(y+2)^{2} =20\)

83.3%

Total serve = 6

Number of serves Jessica made = 5

The percent of her serves = Number of serves Jessica made/Total serve × 100

The percent of her serves = 5/6 × 100

= 0.8333 × 100

= 83.33%

To the nearest tenth of a percent = 83.3%

Hence, the percent of serves Jessica makes before the game is 83.3%