SOMEONE PLEASE HELP ME I DONT UNDERSTAND !!!!


For a certain company, the cost for producing x items is 55x+300 and the revenue for selling
items is 95x- 0.5x^2
The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost).
In economic models, one typically assumes that a company wants to maximize its profit, or at least
wants to make a profit!
Part a: Set up an expression for the profit from producing and selling x items. We assume that the
company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)
Part b: Find two values of a that will create a profit of $300.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

Answer:

The correct answer should be - 45 squares. The number of green squares = 4 small + 1 medium square = 5 squares. The number of brown squares = 4 small + 1 medium square = 5 squares. The number of pink squares = 4 small + 1 medium square.

Step-by-step explanation:

Answer:

Step-by-step explanation: There are are squares of 4 different dimensions: 1 × 1, 2 × 2, 3 × 3 , 4 × 4

There are 16 squares of dimension 1 × 1. There are 9 squares of dimension 2 × 2. There are 4 squares of dimension 3 × 3 and 1 square of dimension 3 × 3.

There is a total of

16+9+4+1 = 30 squares

To find slope use y2 - y1 / x2 - x1. I would suggest doing this twice just to make sure.

For this one, I will use the first three points. (2,2) (4,5) (6,8)

8 - 5 / 6 - 4 = 3/2

5 - 2 / 4 - 2 = 3/2 = your slope

Now, since there is no (0,y) given, we need to find the y-intercept using . . . You guessed it! Point - slope form! I will use the point (2,2)

y-y₁=m(x-x₁)

y - 2 = 3/2 (x - 2)

y - 2 = 3/2x -3

  +2            +2

Y = 3/2x -1

-1 = your y-intercept form.

Answer:

x = 2

Step-by-step explanation:

We are given the following equation:

\(\sqrt{x+7} -1=x\), which we want to solve for x.

To do this, we should isolate the square root on one side, then square both sides. We can then solve the equation as normal, but then we have to check the domain in the end for any extraneous solutions.

Start by adding 1 to both sides.

\(\sqrt{x+7} -1=x\)

            +1      +1

________________________

\(\sqrt{x+7} = x+1\)

Now, square both sides.

\((\sqrt{x+7} )^2= (x+1)^2\)

We get:

x + 7 = x² + 2x + 1

Subtract x + 7 from both sides.

x + 7 = x² + 2x + 1

-(x+7)   -(x+7)

________________________

0 = x² + x - 6

This can be factored to become:

0 = (x+3)(x-2)

Solve:

x+3 = 0

x = -3

x-2 = 0

x = 2

We get x = -3 and x = 2. However, we must check the domain.

Substitute -3 as x and 2 as x into the original equation.

We get:

\(\sqrt{-3+7} -1 = -3\)

\(\sqrt{4} -1 = -3\)

2 - 1 = -3

-1 = -3

This is an untrue statement, so x = -3 is an extraneous solution.

We also get:

\(\sqrt{2+7} -1 = 2\)

\(\sqrt{9}-1=2\)

3 - 1 = 2

2 = 2

This is a true statement, so x = 2 is a real solution.

Our only answer is x = 2.

Answer:

x = 7

Step-by-step explanation:

4(7) - 3 = 25

2(7) + 21 = 35

25+35 = 60

Trial and error.

The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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Answer:

D

Step-by-step explanation:

the last one

Answer:

The answer is D. "the function h because the graphs of ƒ and h are symmetrical about the line y = x"

Step-by-step explanation:

Answer:

2TRN

Let me know if this is wrong!

233115555532224444432

Answer:

(a) Not confident.

(b) Confident A would win.

(c) Confident A would win.

(d) Not confident.

Step-by-step explanation:

In order for us t be confident that Candidate A will win, Candidate A's percentage minus the margin of error must be higher than Candidate B's plus the margin of error.

(a)

\(A = 54\%-5\%=49\%\\B = 46\%+5\%=51\%\)

Not confident.

(b)

\(A = 52\%-1\%=51\%\\B = 48\%+1\%=49\%\)

Confident A would win.

(c)

\(A = 53\%-3\%=51\%\\B = 47\%+2\%=49\%\)

Confident A would win.

(d)

\(A = 58\%-10\%=48\%\\B = 42\%+10\%=52\%\)

Not confident.

An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).

In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:

x = a(y - k)² + h.

Where:

By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:

h = 0

k = 0

a = positive.

x = a(y - k)² + h.

x = a(y - 0)² + 0.

x = ay²

Therefore, a possible equation is x = 1/12(y²).

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Answer:

The maximum possible difference between the largest and the smallest of these 5 numbers is 65( if numbers aren't repeated )

The area of a circle can be found using the formula:

A = πr^2

where A is the area of the circle, r is the radius, and π (pi) is a mathematical constant approximately equal to 3.14.

In this case, the radius of the circular rug is given as 2 yards. So we can substitute this value into the formula and calculate the area as:

A = πr^2 = π(2)^2 = 4π

Using an approximation of π as 3.14, we can calculate the area as:

A ≈ 4(3.14) = 12.56 square yards

Therefore, the area of the circular rug is approximately 12.56 square yards.

Hope this helps! I wasn't always the best at areas and all that, but I certainly tried for this one.

Value of variable x in the proportion is 6.

A fraction is used to express a portion of a whole or a ratio of two values. It is a mathematical statement known as a fraction bar or vinculum that has a numerator and a denominator separated by a horizontal line. The denominator is the total number of pieces that make up the whole, whereas the numerator is the number of parts that are being taken into account.

Given proportion;

10/10+x=35/56

Cross multiplying the proportion, we get

10×56=35×(10+x)

Multiplying the values on both side, we get

560=350+35x

Taking 350 on left hand side,

560-350=35x

35x=210

Dividing the equation by 35, we get

x=210/35

x=6

Hence, value of x in the proportion is 6.

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Answer:

A is bethel

B is below sea level by 22 feet

C is I would describe the elevation very low  lowest elevation in North America

D is 0 the elevation is right at sea level.

E is  has a lower elevation and is one of the lowest major cities in the entire United States.

Step-by-step explanation:

Answer:

B) \(4i\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)

Answer:

Subtotal 70.00

15% Tip 10.50

Total 80.50  

Step-by-step explanation:

1% 0.70

2% 1.40

3% 2.10

4% 2.80

5% 3.50

6% 4.20

7% 4.90

8% 5.60

% Tip

9% 6.30

10% 7.00

11% 7.70

12% 8.40

13% 9.10

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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The line's equation in the form of a point-slope is y + 7 = 7 (x + 1).

A mathematical description of the steepness as well as the direction of a line is its slope, commonly referred to as its gradient. Despite the lack of obvious justification, the letter "m" is frequently used to represent slope. Though it is written as "y = mx + b" and "y = mx + c," respectively.

Slope:

slope = y2 - y1 / x2 - x1.

Slope halt the form:

y = mx + b.

Slope develop at a point.:

y - y1 = m ( x - x1) ( x - x1)

Common Form. Ax + By = C.

x - axis. the graph's horizontal axis.

y - axis. the graph's vertical axis.

intercept with X. the location where a line crosses the x axis at an angle.

intercepting at Y.

An equation for a line is denoted by the formula: y - y0 = m(x-x0), where m is the slope of the line and (x0, y0) is any point on the line.

Using the coordinates (-1, -7) and (1, 7), calculate the slope:

m = 7 + 7 / 1 + 1m = 7.

Substitute the slope and (-1, -7) in the formula to obtain:

y - (-7) = 7 (x-(-1))=> y + 7 = 7 (x+ 1)

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Answer: $2,850

Step-by-step explanation:

Hope this helped you. Brainliest if possible! :D

I also answered first! (Please don't copy my answer for anyone that answer this question!) :D

When solving a linear system of equations, you are looking for the points of intersection between the equations

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

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

Answer:

4 oz

Step-by-step explanation:

because 3200 divided by 800 is 4

hope this helps!

Answer:

the standard error of data set is 2.628

Step-by-step explanation:

Given the data in the question;

set;

x = 9, 13, 21, 30, 31, 31, 34, 25, 28, 20

To get the standard of Error for this data set, we use the formual

S.E = s / √n

First we determine the mean average;

Mean x' = ∑x / n =  ( 9 + 13 + 21 + 30 + 31 + 31 + 34 + 25 + 28 + 20 ) / 10

x' = 242 / 10

Mean x' = 24.2

Next we find the standard deviation s:

x             (x-x')²

9           231.04

13          125.44

21          10.24

30         33.64

31         46.24

31         46.24

34        96.04

25        0.64

28        14.44

20        17.64

Total ∑(x-x')² = 621.6

so Variance = ∑(x-x')² / (n-1) = 621.6 / ( 10 - 1 )  = 621.6 / 9

Variance = 69.0667

Standard deviation S = √Variance

Standard deviation S = √69.0667

Standard deviation S = 8.3106

So we substitute into our formula to get the standard of error;

S.E = 8.3106 / √10

S.E = 2.628

Therefore, the standard error of data set is 2.628

Answer:

2.63

Step-by-step explanation:

Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').

Step-by-step explanation:

First equation: x-15=5

x-15+15=5+15

The answer will be x=20

Second equation: 2x+5=1

2x+5-5=1-5

2x=-4

Divide both sides by 2

The answer will be x=-2

Answer:

\(\huge\boxed{x = 20; x=-2}\)

Step-by-step explanation:

In equations, you can perform any operation (with a few exceptions), as long as it is to both sides of the equation.  As such, when approached with a problem such as x-15 = 5, isolate the variable, by adding 15 to both sides, changing the problem to x - 15 + 15 = 5 + 15.  Then, because -15 + 15 = 0, it becomes x + 0 = 5 + 15 --> x = 20.

In the other scenario: 2x + 5 = 1:

2x + 5 - 5 = 1 - 5

2x = -4

2x ÷ 2 = -4 ÷ 2

x = -2

Hope it helps :) and let me know if you want me to elaborate

Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.

Answer:

102 -52 =50 the age is 50 ufdhdgrthui

Let Rosemary's age = X

and Hannah's age = Y

According to question,

X + Y = 102           … (i)

X - Y = 52             … (ii)

Adding the equation (i) + (ii)

We get,

2X = 154

X = 77

now putting the value of X in Equation (ii)

We get,

77 - Y = 52

Y = 77-52

Y = 25

Hence, Rosemary's age =77 and Hannah's age = 25

Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780