b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how much money would you owe in taxes at the end of the year? Show your work.

Answer:

1572 Square Units

Step-by-step explanation:

First, find the perimeter by multiplying 20.8 * 7 which is 145.6. Then multiply the perimeter with the apothem. After that, you divide by 2.

So, 145.6*21.6/2= 1572.

Answer:

6

Step-by-step explanation:

[tex]\text{Distributive property:}\ a(b+c)=ab+ac\\\\4(y^5-2)=(4)(y^5)+(4)(-2)=\boxed{4y^5-8}[/tex]

Answer:

[tex]f(x)=\frac{2}{x}[/tex] and [tex]g(x)=\frac{2}{x}[/tex]

Step-by-step explanation:

To prove that we have to demonstrate [tex](f*g)(x)=x[/tex]

This proof is about a composition of functions, where we have to enter one function inside another, in this case, [tex]g(x)[/tex] goes inside [tex]f(x)[/tex]. So if results in [tex]x[/tex], then will be proved.

[tex](f*g)(x) = \frac{2}{\frac{2}{x} }[/tex]

As you can see, the composition is to replace [tex]g(x)[/tex] for the variable of [tex]f(x)[/tex].

Solving the expression:

[tex](f*g)(x) = \frac{2}{\frac{2}{x} }=\frac{2x}{2}=x[/tex]

After replacing and applying the composition, we have [tex]x[/tex] as a result. Therefore, we can say that the pair of functions of option B is the answer, because they satisfy the expression given.

Answer:

3/2 (D on Edge)

An orthocenter is the intersection of three:

             Altitudes in a triangle.

Altitude--

An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.

Orthocenter--

An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.

In  a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.

The correct answer is not provided in the given options.

The volume of a cylinder can be calculated using the formula V = πr^2h, where π is a constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cylinder.

In the given options, none of them represent the correct formula for the volume of an oblique cylinder. Therefore, the correct answer is not provided in the given options.

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Answer:

a). Linear equation; y=1.25 x+12.5

b). The variable are x and y, where;

y is the total cost at the county fair

x is the number of tickets per ride

Step-by-step explanation:

Step 1: Define variable in the linear equation

y=mx+c

where;

y=The total cost at the county fair

x=the number of tickets per ride

m=Cost per ticket ride

c= fair admission price

Step 2: Derive linear equation

In or case;

y=$43.75

m=$1.25 per ticket ride

x=25 tickets

c=unknown

replacing;

43.75=(1.25×25)+c

c=43.75-31.25

c=12.5

The fair admission price=c=12.5

Replacing in the Linear equation;

y=1.25 x+12.5

Answer:

He can Stitch 1 shirt in 6 Hours And in Hour He Can Stitch 6/10 Of a Shirt

Step-by-step explanation:

This Answer Is Correct Because He Can Stitch 7 Shirts In 42 Hours Which Is Wrong.

The question requests the calculation of the time for a golf ball to land from a higher elevation with an initial velocity, which is addressed using the kinematic equations of motion in physics; however, due to missing information, an accurate answer cannot be provided.

Projectile Motion of a Golf Ball

The question involves calculating the time it takes for a golf ball to land on the ground when hit from an elevated position with an initial upwards velocity. This falls under the category of kinematics in physics, specifically projectile motion. However, since the question does not provide enough information, such as the acceleration due to gravity or whether air resistance is considered, it is not possible to give an accurate answer. Typically, to solve such a problem, one would use the kinematic equations of motion. However, because vital information is absent, I must respectfully decline to answer.

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To maximize revenue, we need to determine the number of each model of off-road bicycles that should be produced based on the given constraints. The revenue generated from selling each model is multiplied by the number of units sold. We set up a system of equations to represent the constraints and objective function, and then use graphical methods or linear programming algorithms to find the optimal solution.

To maximize revenue, we need to determine the number of each model of off-road bicycles that should be produced. Let's assume x represents the number of Explorer bicycles and y represents the number of Grande Expedition bicycles.

The revenue generated from selling the Explorer bicycles is 250x, while the revenue from selling the Grande Expedition bicycles is 350y.

We are given that the painting and assembly time required for the Explorer is 2 hours, so the total time used for producing the Explorer bicycles is 2x hours. Similarly, the total time used for producing the Grande Expedition bicycles is 3y hours.

We also know that there are 375 frames and 450 hours of labor available. Each bicycle requires one frame and a certain number of labor hours, so the total number of frames used is x + y, and the total labor hours used is 2x + 3y.

We can set up the following system of equations to represent the constraints:

x + y ≤ 375 (due to the limited number of frames)
2x + 3y ≤ 450 (due to the limited number of labor hours)

To maximize revenue, we need to maximize the objective function R = 250x + 350y. Since we are dealing with a linear programming problem, we can use graphical methods or linear programming algorithms to find the optimal solution.

standard form is y = mx+b

the correct answer is the 4th one y =4x+15

Solving this problem actually requires us the use of the distance formula of point to a line.

The formula is:

distance = | a x + b y + c | / sqrt (a^2 + b^2)

So we are given the equation:

y = 2 x + 4

rewriting:

y – 2 x – 4 = 0     --> a = -2, b = 1, c = -4

We are also given the points:

(-4, 11) = (x, y)

Using the distance formula at points (x, y):

distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]

distance = 15 / sqrt (5)

distance = 6.7

So the tree is about 6.7 ft away from the zip line.

The question is an illustration of distance between a point and a line.

The distance between the zip line and the tree is 6.70 feet

The zip line equation is given as:

[tex]\mathbf{y = 2x +4}[/tex]

The coordinates of the tree is given as:

[tex]\mathbf{(x,y) = (-4,11)}[/tex]

The distance (d) between an equation and a point is:

[tex]\mathbf{d = \frac{|ax + by + c|}{\sqrt{a^2 + b^2}}}[/tex]

Where:

[tex]\mathbf{ax +by + c = 0}[/tex]

Rewrite [tex]\mathbf{y = 2x +4}[/tex] as [tex]\mathbf{ax +by + c = 0}[/tex]

[tex]\mathbf{2x - y + 4 = 0}[/tex]

By comparison:

[tex]\mathbf{a =2, b = -1, c = 4}[/tex] and [tex]\mathbf{(x,y) = (-4,11)}[/tex]

So, we have:

[tex]\mathbf{d = \frac{|2 \times -4 -1 \times 11 + 4|}{\sqrt{(2)^2 + (-1)^2}}}[/tex]

[tex]\mathbf{d = \frac{|-15|}{\sqrt{5}}}[/tex]

Evaluate square root

[tex]\mathbf{d = \frac{|-15|}{2.24}}[/tex]

Remove absolute bracket

[tex]\mathbf{d = \frac{15}{2.24}}[/tex]  

[tex]\mathbf{d = 6.70}[/tex]

Hence, the distance between the zip line and the tree is approximately 6.70 feet

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octagon ABCDEFGH was dilated by a scale factor of 2. Therefore, option 2 is the correct answer.

To find the scale factor by which octagon ABCDEFGH was dilated, we can compare the corresponding side lengths of the original octagon and the dilated octagon.

Let's take one side, for example, side AB. The length of side AB in the original octagon is the distance between points A(3, 1) and B(3, -1), which is 2 units.

The length of side A'B' in the dilated octagon is the distance between points A'(6, 2) and B'(6, -2), which is also 4 units.

By comparing the side lengths, we can see that side A'B' is twice as long as side AB.

Therefore, the scale factor by which octagon ABCDEFGH was dilated is 2.

In conclusion, octagon ABCDEFGH was dilated by a scale factor of 2.

Therefore, option 2 is the correct answer.

The octagon ABCDEFGH was dilated by a scale factor of 2. This means each coordinate in the original octagon was multiplied by 2 to obtain the corresponding point in A'B'C'D'E'F'G'H'.

The scale factor of dilation between octagon ABCDEFGH and its dilated counterpart A'B'C'D'E'F'G'H' can be determined by comparing corresponding side lengths. Taking one side as an example, the original octagon has a side connecting points A(3, 1) and B(3, -1) with a length of 2 units (vertical distance). In the dilated octagon, the corresponding side connecting A'(6, 2) and B'(6, -2) has a length of 4 units (vertical distance). The scale factor (k) is then calculated as the ratio of the length in the dilated octagon to the length in the original octagon: [tex]\( k = \frac{4}{2} = 2 \)[/tex].

Therefore, octagon ABCDEFGH was dilated by a scale factor of 2 from its original position to A'B'C'D'E'F'G'H'. This indicates that the coordinates of each point in the original octagon were multiplied by 2 to obtain the corresponding points in the dilated octagon. The scale factor, in this case, is 2, signifying a doubling in size during the dilation process.

Answer:

The answer is A! I hoped this helped! :3

Step-by-step explanation:

The answer is A. yes, Y= 2x

Answer:

438

Step-by-step explanation:

(52*2)+334

104+334=

438

The value of the numerical expression (52)² + 334 will be 3,038.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expression is given below.

⇒ (52)² + 334

Simplify the numerical expression, then we have

⇒ (52)² + 334

⇒ 2,704 + 334

⇒ 3,038

The value of the numerical expression (52)² + 334 will be 3,038.

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