What influenced Denis to write the first non-objective statement? (You must use one quote from his article the Definition of Neotraditionism)

What factors led Kandinsky to arrive at non-objective painting? (You must give at least one quote from Concerning the Spiritual in Art, and list the page number.

What did Kandinsky write about color? (You must give at least one quote from Concerning the Spiritual in Art - Part II. About Painting, VI: The Language of Form and Color and give the page number.)

Answers

Answer 1

Denis was  told  to write the first non-objective statement by the arising trend of Neotraditionism.            

As he explains in his composition" The description of Neotraditionism,"" The  thing of Neotraditionism is to make  commodity new that isn't a  dupe, nor a simple extension, nor a parody of the old"( Denis, 1911). He believed that this movement  needed a new language of art, one that wasn't tied to emblematic  forms.

Kandinsky's  appearance atnon-objective  oil was  told  by his spiritual beliefs and his desire to express the inner nature of  effects. As he writes in Concerning the Spiritual in Art," The artist must have  commodity to say, for mastery over form isn't his  thing but rather the adapting of form to its inner meaning"( Kandinsky, 1977,p. 10). He believed that art should be a spiritual expression and that the inner world of the artist should be  restated into visual language.  

Kandinsky wrote  considerably about color in Concerning the Spiritual in Art. He believed that color had its own language and could convey  feelings and ideas. As he writes," Color is a means of  plying direct influence upon the soul. Color is the keyboard. The eye is the hammer. The soul is the piano, with its  numerous strings"( Kandinsky, 1977,p. 43). He believed that colors could be arranged in a way that would produce a symphony of  feelings in the bystander.

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Related Questions

Determine the value of f (2) for the function. Please help!

Answers

The value of f (2) for the function is,

⇒ f (2) = undefined

We have to given that;

The function is defined as;

⇒ f (x) = { x³ + 18x² + 99x + 162  ; x ≤ - 3

          = { (3x - 6) / (x³ - 7x + 6)  ; - 3 < x ≤ 2

          = { √(x² - 4)  ; x > 2

Hence, We can see that;

At x = 2;

Function is defined as;

⇒ f (x) =  (3x - 6) / (x³ - 7x + 6)

Plug x = 2;

⇒ f (2) = (3 × 2 - 6) / (2³ - 7×2 + 6)

⇒ f (2) = (6 - 6) / (8 - 14 + 6)

⇒ f (2) = 0 / 0

⇒ f (2) = undefined

Thus, The value of f (2) for the function is,

⇒ f (2) = undefined

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Help pleaseee!! I will give brainlist

Answers

The length FE in the circle is 6 units

The arc AE has a measure of 64 degrees

Calculating the length FE

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

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

Calculating the measure of arc AE

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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Craig has a building block in the shape of a rectangular pyramid. A net of which is shown below.
If a measures 16 cm, b measures 8 cm, and d measures 17 cm, what is the surface area of the rectangular pyramid?

Answers

To find the surface area of the rectangular pyramid, we need to calculate the area of each face and then sum them up.

Looking at the net, we can see that the rectangular pyramid has one rectangular base and four triangular faces.

The dimensions of the rectangular base are a = 16 cm and b = 8 cm, so the area of the rectangular base is A_base = a * b.

The dimensions of the triangular faces are given by the sides of the rectangle and the slant height of the pyramid, which is represented by d = 17 cm. Each triangular face has a base equal to one side of the rectangle and a height equal to d.

The area of each triangular face can be calculated as A_triangle = 0.5 * (base * height) = 0.5 * (a * d) or 0.5 * (b * d).

Since there are four triangular faces, the total area of the triangular faces is A_triangles = 4 * A_triangle.

Finally, the surface area of the rectangular pyramid is the sum of the area of the rectangular base and the area of the triangular faces:

Surface Area = A_base + A_triangles = A_base + 4 * A_triangle.

Substituting the given values:

A_base = 16 cm * 8 cm = 128 cm².

A_triangle = 0.5 * (16 cm * 17 cm) = 136 cm².

A_triangles = 4 * 136 cm² = 544 cm².

Surface Area = 128 cm² + 544 cm² = 672 cm².

Therefore, the surface area of the rectangular pyramid is 672 cm².

I hope this helps! :)

10. At an exotic food store, a sign states that three pounds of
octopus costs $24. The owner tells you that the pricing of octopus
is a linear function based upon the weight in pounds.

a) Write a linear function to model the relationship between the
cost, c, of octopus and the weight, w, in pounds.

B) Explain the meaning of the slope of your equation as it relates to this problem.

Answers

The linear equation is solved and slope is m = (24 - b) / 3 = 8

Given data ,

a)

To write a linear function that models the relationship between the cost, c, of octopus and the weight, w, in pounds, we need to determine the equation of a line in slope-intercept form, y = mx + b, where y represents the cost of octopus (c) and x represents the weight in pounds (w).

We are given that three pounds of octopus costs $24. This gives us a point on the line, which is (3, 24). Using this point, we can find the slope (m) of the line.

Let's use the slope formula:

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

Taking (3, 24) as our first point, and choosing another arbitrary point on the line, let's say (0, b), we can substitute the coordinates into the slope formula:

m = (24 - b) / (3 - 0)

Since the slope is constant for the linear function, we can set this expression equal to m:

m = (24 - b) / 3

Now, we have the slope (m) in terms of b. To find the value of b, we can substitute the coordinates of the known point (3, 24) into the slope-intercept form:

24 = m * 3 + b

Substituting the expression for m:

24 = [(24 - b) / 3] * 3 + b

Simplifying:

24 = 24 - b + b

24 = 24

Since the equation is true for any value of b, we can choose any value for b. Let's choose b = 0 for simplicity.

Plugging in the values of m = (24 - b) / 3 and b = 0, we have:

m = (24 - 0) / 3

m = 24 / 3

m = 8

Therefore, the slope of the linear function is 8

b)

The meaning of the slope in this context is that for each additional pound of octopus purchased, the cost increases by $8. This means that the cost of octopus is increasing at a constant rate of $8 per pound. The positive slope indicates that as the weight of the octopus increases, the cost also increases.

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Zane is in charge of equipment at Putter Around Fun Center. He opens a huge new box of golf
balls that just arrived. The golf balls are assorted colors that are mixed throughout the box.
Zane has no idea how many of each color are in the box, so he randomly picks 30 balls out of
the box. He picks 8 yellow, 3 red, 5 orange, 6 green, and 8 pink golf balls.
Based on the data, what is the probability of choosing a red golf ball?
Write your answer as a fraction.

Answers

The probability of choosing a red golf ball as a fraction would be = 1/10.

How to calculate the probability of choosing a red ball at random?

To calculate the probability of choosing a red ball at random, the formula that should be used is given below.

That is;

Probability = possible outcome/sample space

Total number of yellow balls= 8

Total number of red ball= 3

Total number of orange balls = 5

Total number of green balls = 6

Total number of pink balls = 8

possible outcome = 3 balls(red)

Sample space = 8+3+5+6+8= 30 balls

Then probability= 3/30 = 1/10

Therefore, when a ball is selected at random the probability that Zane would pick a red ball out of all the golf coloured balls would be= 1/10.

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simplify. (write each expression without using the absolute value symbol.)

1.|x+3| if x > 5
2. |x+3| if x>2

Answers

1.

If x > 5, then the absolute value on |x+3| isn't actually doing anything.  

|x+3| = x+3 (without the absolute value) since x+3 is positive for x > 5.

2.

If x > 2, then the absolute value on |x+3| again isn't actually doing anything.  

|x+3| = x+3 (without the absolute value) since x+3 is positive for x > 2.

You'd have to be dealing with x-values less than -3 for the absolute value to impact the calculation.  Only for x < -3 would "x+3" not be positive and only then does the absolute value change the result.

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.

Answers

Answer:

The range of the function is all real numbers less than or equal to 9.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

have a great day and thx for your inquiry :)

Mary gave her brother 1/4 of her plums and her sister 1/3. Mary remained with 20 plums. how many plums Mary had before sharing?

Answers

Mary had 48 plums before sharing.

Plan the media elements that you will use in your presentation. Think about what types of media
elements, such as charts or diagrams, could be used to support your ideas.
Provide at least three
media examples in the table below.
Media Type
Media Use
Important Idea to Communicate

Answers

Here are three media examples that can be used in a presentation:

Media Type: Chart
Media Use: To illustrate the growth of the company's revenue over the past five years
Important Idea to Communicate: The company has experienced significant growth in revenue over the past five years and is on an upward trajectory.

Media Type: Diagram
Media Use: To explain how a new product works
Important Idea to Communicate: The new product is innovative and easy to use, and it solves a common problem that many people face.

Media Type: Infographic
Media Use: To demonstrate the impact of climate change on the environment
Important Idea to Communicate: Climate change is a serious and pressing issue that affects all of us, and we need to take action to mitigate its effects.

Find out Monomials and Binomials from the following algebraic expressions:

**+9x²+7x-35, ln x, - 3x3 + 2x, x, x³, √x, 18x14x + 14,7x-1, 1

Sin (x), x³-5, e*, (x + 4)², - 3n+2y + 2x + 1, √x +y, 3-x.

Answers

Monomials are algebraic expressions that consist of a single term, whereas binomials consist of two terms.A binomial is an algebraic expression that consists of two terms.

Monomials are algebraic expressions that consist of a single term, whereas binomials consist of two terms.A binomial is an algebraic expression that consists of two terms. These terms can be added or subtracted, and they may contain variables, constants, and exponents. Binomials are commonly used in algebra to represent equations, formulas, and functions.

Monomials:
- 9x²
- 7x
- ln x
- -3x³
- 2x
- x
- x³
- √x
- 18x14x
- √x
- 7x-1
- 1
- Sin (x)
- x³
- e*
- √x +y
- 3-x
Binomials:
- 18x14x + 14
- (x + 4)²
- - 3n+2y + 2x + 1
- x³-5
Here are the monomials and binomials from the given algebraic expressions:
Monomials:
- ln x
- x
- x³
- √x
- 1
- Sin(x)
- e*
- 3-x
Binomials:
- +9x²+7x-35
- -3x³ + 2x
- 18x¹⁴x + 14
- 7x-1
- x³-5
- (x + 4)²
- -3n+2y + 2x + 1
- √x + y

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3. Create your own piecewise function with at least two functions. Explain, using complete
sentences, the steps for graphing the function. Graph the function by hand or using a
graphing software of your choice (remember to submit the graph).

Answers

how do i attach the graph

A central angle in a circle with a diameter of 9 meters measures radians. 7/18 Find the length
of the arc intercepted by this angle.

Answers

To find the length of an arc intercepted by a central angle in a circle, we need to use the formula:

Arc Length = (Angle in radians) * (Radius)

In this case, the circle has a diameter of 9 meters, which means the radius is half of the diameter, so the radius is 4.5 meters.

The central angle measures radians, which we need to convert to radians. To convert a fraction to radians, we divide the numerator by the denominator and multiply by π (pi).

Radians = (7/18) * π

Now we can calculate the length of the arc:

Arc Length = (7/18) * π * 4.5

Simplifying this expression, we can calculate the approximate length of the arc.

It's important to note that the length of the arc is proportional to the measure of the central angle and the radius of the circle. The larger the central angle or the radius, the longer the arc.

In this case, the length of the arc will be determined by the specific value of the central angle in radians and the radius of the circle.

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Find the area of the below shape in mm^2

Answers

Answer:

(1600 + (3200π)/3) mm²

Step-by-step explanation:

1 cm = 10mm. (1cm)² = (10²)mm = 100mm²

area of rectangle = 2 X 8 = 16cm² = 1600mm²

radius of circle = 8cm.

area of full circle would be = π r² = π (8)² = 64π cm²

360° in full circle

area of triangular sector = (60/360) X (64π) = (32π)/3 cm² = (3200π)/3 mm²

total area = (1600 + (3200π)/3) mm²

A calculator displays 6E6. How do you write 6E6 in standard form

Answers

6E6 is a number written in scientific notation, which means that it represents 6 times 10 raised to the power of 6. To write this number in standard form, we need to evaluate the exponent and write the number in expanded form.

6E6 = 6 x 10^6

Evaluating the exponent 6 means multiplying 6 by 10 six times:

6 x 10^6 = 6 x 10 x 10 x 10 x 10 x 10 x 10

Simplifying the expression, we get:

6 x 10^6 = 6,000,000

Therefore, 6E6 in standard form is 6,000,000.

What is the surface area of a cone that has a height of 10 centimeters
and has a diameter of 5 centimeters?

Answers

Answer:

266.9cm

Step-by-step explanation:

there's no explanation.

Answer:

52.334

Step-by-step explanation:

3.14[phi] x 5 cm =15.70 x 10 [height] = 157.0 x 1/3 = 52.334

cone = phi x d x height x1/3

this is the volume btw

Given A(2, 4), what are the coordinates of A′ for the dilation with scale factor 1.5 and center at the origin?

Answers

The coordinates of A′ for the dilation with a scale factor of 1.5 and center at the origin are (3, 6).

To find the coordinates of A′, we need to apply the dilation formula:
A′ = (1.5)(A - O) + O
Where O is the center of dilation, which in this case is the origin (0, 0).
Substituting the values we have:
A′ = (1.5)(2, 4 - 0, 0) + (0, 0)
A′ = (3, 6) + (0, 0)
A′ = (3, 6)
Therefore, the coordinates of A′ for the dilation with scale factor 1.5 and center at the origin are (3, 6).
To find the coordinates of A' for the dilation with a scale factor of 1.5 and center at the origin, follow these steps:
1. Identify the given point A(2, 4) and the scale factor 1.5.
2. The center of dilation is at the origin (0, 0).
3. Multiply the x-coordinate of point A by the scale factor: 2 * 1.5 = 3.
4. Multiply the y-coordinate of point A by the scale factor: 4 * 1.5 = 6.
5. The coordinates of A' after dilation are (3, 6).
So, the coordinates of A′ for the dilation with a scale factor of 1.5 and center at the origin are (3, 6).

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Help please I have to answer these questions using the graph.

Answers

The values of the points on the graph of the concentration of the drug in the bloodstream, indicates;

1 a. 24 mg/L

b. Increases; [0, 2]

Decreasing; [2, 20

c. The drug is at the maximum concentration at t = 2 hours

The maximum concentration is 64 mg/L

d. 8 hours

e. The concentration after 1 week is minute

The concentration after 1 month is more reduced than the concentration after 1 week.

f. The concentration of the drug for the first 20 hours increases in the first 2 hours, then decreases and approaches the x-axis as the x-value increases.

What is the graph of a function?

A graph is a visual display of the ordered pair of a function on the coordinate plane.

1. The graph in the question specifies the concentration of the drug in the bloodstream after t hours in mg/L

a. The graph indicates that the concentration after 8 hours is 24 mg/L

b. The interval over which the concentration increases is; [0, 2)

The interval over which the concentration decreases is; (2, 20]

c. The graph indicates that the drug is at its maximum concentration when the time t = 2 hours

The maximum concentration, based on the peak of the graph is 64 mg/L

d. The concentration of the drug is 16 mg/L at t = 10 hours, therefore, the time it takes the concentration to decrease to 16 mg/L from the peak therefore is; 10 hours - 2 hours = 8 hours

e. The shape of the graph indicates that the concentration of the drug in the bloodstream continuously decreases after the first two hours, therefore, the concentration after a week will be approximately 0

The concentration after 1 month will trace amounts

f. The concentration of the drug in the bloodstream over the first 20 hours indicates that concentration increases within the first 2 hours, and decreases rapidly in the next 8 hours, such that after 20 hours, the concentration in the blood is less than 4 mg/L

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help pls, will give brainliest

Find the perimeter of the figure. Simplify your answer.

Answers

The perimeter of the figure is 9k² + 13k - 8

Finding the perimeter of the figure

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

The figure

The perimeter of the figure is the sum of the side lengths

Using the above as a guide, we have the following:

Perimeter = -k + k² - 2 + 2k² + 5k + 2 + k² - 2 - k + 5k² + 10k - 6

When the expression is evaluated, we have

Perimeter = 9k² + 13k - 8

Hence, the perimeter of the figure is 9k² + 13k - 8

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Write the standard equation of the circle with center (-5,12) that passes through the point (-9,15)

Answers

The standard equation of the circle with center (-5,12) that passes through the point (-9,15) is (x + 5 )² + (y - 12)² = 25.

What is the equation of the circle?

The standard form equation of a circle with center (h, k) and radius r is:

(x - h)² + (y - k)² = r²

Given that; the center is (-5, 12) and a point on the circle is (-9, 15).

First, we determine the radius, we can use the distance formula between the center and the point on the circle:

[tex]r = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \\\\r = \sqrt{(-9 - (-5))^2+(15 - 12)^2} \\\\r = \sqrt{(-9 + 5)^2+(15 - 12)^2} \\\\r = \sqrt{(-4)^2+(3)^2} \\\\r = \sqrt{16+9} \\\\r = \sqrt{25} \\\\r = 5[/tex]

Now, center: (-5, 12)

h = -5

k = 12

and r = 5

Plug these into the equation above:

(x - h)² + (y - k)² = r²

(x - (-5) )² + (y - 12)² = 5²

Simplify

(x + 5 )² + (y - 12)² = 25

Therefore, the equation of the circle is (x + 5 )² + (y - 12)² = 25.

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Heys guys...please help me out on this. Also please provide the working too.

Answers

Answer:

f(x) = x^2

f'(x) = 2x, so f'(1.8) = 2(1.8) = 3.6

B is the correct answer.

The value of the function , f'(1.8) = 3.6. option B

What is a function?

A function can simply be defined as an expression, a law or a rule that is used to represent the relationship between two variables in an equation.

These variables are listed as;

Dependent variableThe independent variables

From the information given, we have that;

The function , f(x) is represented as x²

This is written as;

f(x) = x²

Find the derivative of the function, we get;

f'(x) = 2x

Now, substitute the value of x as 1.8 in the function, we have that;

f'(1.8) = 2(1.8)

expand the bracket, we have that;

f'(1.8) = 3.6

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Anita has invited her friends to her birthday party. Guess the number of friends she has invited
given the following clues:

They are more than the number of days in September.
The sum of their digits is 10.
The difference in their digits is 2.
They are less than 5 dozen.

Answers

Let's use the clues to narrow down the possible numbers of friends Anita has invited:

- They are more than the number of days in September, which has 30 days. Therefore, the number of friends is more than 30.
- The sum of their digits is 10. This means that the number of friends could be any combination of two-digit numbers whose digits add up to 10, such as 19, 28, 37, 46, 55, 64, 73, 82, or 91.
- The difference in their digits is 2. This means that the number of friends could be any combination of two-digit numbers whose digits are 2 apart, such as 23, 34, 45, 56, 67, 78, or 89.
- They are less than 5 dozen, which is 60 x 5 = 300. Therefore, the number of friends is less than 300.

From the clues, we can see that the number of friends Anita has invited is a two-digit number between 30 and 99 whose digits add up to 10 and are 2 apart. The only number that satisfies these conditions is 73.

Therefore, Anita has invited 73 friends to her birthday party.

can someone help me with this??

Answers

I think it’s Option D

PLS HELP Triangle LMN has vertices at L(−1, 5), M(−1, 0), N(−2, 5). Determine the vertices of image L′M′N′ if the preimage is rotated 180° counterclockwise about the origin.

L′(5, 1), M′(0, 1), N′(5, 2)
L′(−1, −5), M′(−1, 0), N′(−2, −5)
L′(−5, −1), M′(0, −1), N′(−5, −2).
L′(1, −5), M′(1, 0), N′(2, −5)

Answers

The coordinates of the triangle after transformation are:

L′(1, −5), M′(1, 0), N′(2, −5)

What are the coordinates after transformation?

There are different methods of transformation such as:

Translation

Rotation

Reflection

Dilation

Now, a rotation of 180 degrees counterclockwise about the origin is equivalent to the coordinate transformation given as (x, y) → ( −x, −y) . Meanwhile, a rotation of 270 degrees counterclockwise about the origin is equivalent to the coordinate transformation (x, y) → ( y, -x) .

Applying the rule for rotation of 180 degrees counterclockwise to the coordinates L(−1, 5), M(−1, 0), N(−2, 5) gives us:

L'(1, -5), M'(1, 0), N'(2, -5)

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Find the area of each paralleogram or rhombus

Answers

The area of the given parallelogram is 12 yd².

Given that a parallelogram of base 2 yds and height 6 yds,

We need to find the area of the parallelogram,

A parallelogram is a quadrilateral in which the opposite sides are parallel and equal. Parallelograms are classified into three main types: square, rectangle, and rhombus, and each of them has its own unique properties.

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.

So, the area of a parallelogram = base × height

so the area of the given parallelogram = 6 × 2 = 12 yd²

Hence the area of the given parallelogram is 12 yd².

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For ∆RST, RS=3ft, ST=6ft, and m∠R=29°. What are m∠T and m∠S

Answers

To find the measures of angles T and S, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

m∠R + m∠S + m∠T = 180°

We know that m∠R = 29°, and we can use the Law of Cosines to find the measure of angle S:

cos(m∠S) = (6^2 + 3^2 - x^2) / (2 * 6 * 3) = 0.9167

m∠S = cos^-1(0.9167) = 23.6°

Now we can use the fact that the sum of the angles in a triangle is 180 degrees to find the measure of angle T:

m∠T = 180° - m∠R - m∠S = 180° - 29° - 23.6° = 127.4°

Therefore, m∠T is 127.4° and m∠S is 23.6°.

mm  m mm Answer:

Step-by-step explanation:

mnnmnmn

What is the image of (-8, 6) after a reflection over the line y = -x?

Answers

The image of the point after a reflection over the line y = -x is (-6, 8)

Calculating the image of the point after a reflection over the line y = -x?

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

Point = (-8, 6)

Transformation rule

A reflection over the line y = -x

The rule of a reflection over the line y = -x is

(x, y) = (-y, -x)

Using the above as a guide, we have the following:

Image = (-6, 8)

Hence the image of the point after a reflection over the line y = -x is (-6, 8)

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George has opened a new store and he is monitoring its success closely.

He has found that this store’s revenue each month can be modeled by r(x)=x2+6x+10 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars.

He has also found that his expenses each month can be modeled by c(x)=x2−4x+5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars.



What does (r−c)(4) mean about George's new store?



Responses

The new store will have a profit of $2300 after its fourth month in business.
The new store will have a profit of $2300 after its fourth month in business.

The new store will sell 4500 items in its fourth month in business.
The new store will sell 4500 items in its fourth month in business.

The new store will sell 2300 items in its fourth month in business.
The new store will sell 2300 items in its fourth month in business.

The new store will have a profit of $4500 after its fourth month in business.

Answers

Fourth month in business, George's new store will have a profit of $4500. The option "The new store will have a profit of $4500 after its fourth month in business" is the correct response.

To determine the meaning of (r - c)(4) for George's new store, we need to evaluate the expression (r - c) at x = 4.

Given that r(x) represents the store's revenue and c(x) represents the store's expenses, (r - c)(4) represents the difference between the revenue and expenses of the store after four months.

Substituting x = 4 into the expressions for revenue and expenses, we get:

r(4) = (4)^2 + 6(4) + 10 = 16 + 24 + 10 = 50

c(4) = (4)^2 - 4(4) + 5 = 16 - 16 + 5 = 5

Thus, (r - c)(4) = r(4) - c(4) = 50 - 5 = 45.

Therefore, (r - c)(4) means that after its fourth month in business, George's new store will have a profit of $4500 (since r(x) and c(x) are measured in hundreds of dollars).

The option "The new store will have a profit of $4500 after its fourth month in business" is the correct response.

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Mrs. Golden wants to cove her 6.5 foot by 4 foot bulletin board with silver paper that comes in 1 foot squares. How many squares does Mrs. Golden need to cover her bulletin board? will there be any fractional pieces of silver pater left over? Explain why or why not.

Answers

Mrs. Golden will not have any Fractional pieces of silver paper left over as the area of the bulletin board is exactly divisible by the area of each silver paper square.

To cover Mrs. Golden's bulletin board, we need to calculate the total area of the board and then divide it by the area of each silver paper square to get the total number of squares required.

The area of the bulletin board can be calculated by multiplying its length and width:

Area of bulletin board = 6.5 ft x 4 ft = 26 sq. ft.

Since the silver paper comes in 1 ft squares, the area of each square is 1 sq. ft.

Therefore, the total number of silver paper squares required to cover the bulletin board can be calculated by dividing the area of the bulletin board by the area of each square:

Total number of squares required = Area of bulletin board / Area of each square

= 26 sq. ft / 1 sq. ft

= 26 squares

So, Mrs. Golden will need 26 silver paper squares to cover her bulletin board.

As the area of the bulletin board is not exactly divisible by the area of each silver paper square, there will be some fractional pieces of silver paper left over. The leftover fractional area will be equal to the remainder obtained when the area of the bulletin board is divided by the area of each square. In this case, the remainder is 0 sq. ft since the area of the bulletin board is exactly divisible by the area of each square.

Therefore, Mrs. Golden will not have any fractional pieces of silver paper left over as the area of the bulletin board is exactly divisible by the area of each silver paper square.

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Find the area of the circle. Use pie = 3.14.

Answers

I think the answer is B

The total mass of a trolley and some watermelons is 27 kg.
The total mass of the same trolley and some mangoes is 11 kg.
The mass of the watermelons was thrice the mass of the mangoes.

Answers

Answer:

Therefore, the mass of the trolley (T) and the mass of the watermelons (W) cannot be determined uniquely based on the given information. We can only express their relationship using Equation (3): 3T + W = 33.

Step-by-step explanation:

Let's assign variables to the masses involved to solve the problem systematically.

Let's say:

Mass of the trolley = T kg

Mass of the mangoes = M kg

Mass of the watermelons = W kg

According to the given information:

The total mass of the trolley and mangoes is 11 kg:

T + M = 11 -- Equation (1)

The mass of the watermelons is three times the mass of the mangoes:

W = 3M -- Equation (2)

Now, we can use these equations to find the values of T, M, and W.

From Equation (2), we can express M in terms of W:

M = W / 3

Substitute this value of M into Equation (1):

T + W / 3 = 11

Multiply through by 3 to eliminate the fraction:

3T + W = 33 -- Equation (3)

Now, we have a system of two equations (Equation 2 and Equation 3) with two unknowns (T and W). We can solve this system to find the values.

Since we don't have a specific value for any variable, we can express the solution in terms of the variables.

Therefore, the mass of the trolley (T) and the mass of the watermelons (W) cannot be determined uniquely based on the given information. We can only express their relationship using Equation (3): 3T + W = 33.

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