A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions.

Graph of function p of x equals negative 6 x squared plus 156 x plus 1,000. The graph has the x-axis labeled as the number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (13, 2014), and decreases through about (31, 0).

Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points)

Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points)

Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)



Will give who ever answers the fast the brainliest and max points

To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

To solve this, we can use the following formula:

FV = PV * (1 + r/n)^nt

Where:

FV = Future Value

PV = Present Value

r = Interest Rate

n = Number of times interest is compounded per year

t = Number of years

In this case, we have the following information:

FV = $14,000

r = 4.5%

n = 12 (monthly compounding)

t = 3 years

We can solve for PV as follows:

PV = FV / (1 + r/n)^nt

PV = $14,000 / (1 + 0.045/12)^12*3

PV = $8,000.00

Therefore, the amount of money that should be deposited today in an account that earns 4.5% compounded monthly so that it will accumulate to $14,000 in 3 years is $8,000.00.

Step-by-step explanation:

Answer:

c = 62 degrees

b = 118 degrees

Step-by-step explanation:

vertical angles are congruent. the 62-degree angle is vertical to angle c

linear pair angles are supplementary. the 62-degree angle is supplementary to angle b. 180  = 62 + b. 118 = b

Answer:

2/5

Step-by-step explanation:

4 raspberry / 10 total

4/10

2/5

The graph shows that the function is decreasing and non-linear on the interval (-2, 0).

Non-linear is a term used to describe a system or process which does not follow a straight line path. This could mean that the output of the system is not directly proportional to the input, or that the system is not able to be described in terms of linear equations. Non-linear systems may be chaotic, random, or just more complex than linear systems. Non-linear systems are usually more difficult to predict and analyze, as they are not as straightforward as linear systems. Examples of non-linear systems include neural networks, chaotic systems, and non-linear programming.

This is because on this interval the graph is sloping downwards, indicating a decrease in the function, and the graph is not linear, as it is a curved line.

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Steps to solve:

-15p - 16.5 + 30 + 4.5p

~Combine like terms

10.5p + 13.5

Best of Luck!

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.

The equation of the line is with the coordinates f(-6) = 9 and f (20) = 5. is y = (-2/13)x + 117/13.

Y = mx + b, where m is the line's slope and b is the y-intercept, is the slope-intercept form of a linear equation. This form is helpful since it provides information about the line's slope and y-intercept in a clear and understandable manner. We can quickly determine the slope of the line (m) and its point of intersection with the y-axis by glancing at the equation (b). By beginning at the y-intercept and using the slope to determine other locations along the line, we can also graph the line using this method.

The slope of the line is given as:

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

Substitute the given coordinates:

m = (5 - 9) / (20 - (-6))

m = -4 / 26

m = -2 / 13

Using the point slope form we have:

y - y1 = m(x - x1)

Using the point (-6, 9):

y - 9 = (-2/13)(x - (-6))

y - 9 = (-2/13)x - 12/13

y = (-2/13)x + 117/13

So the equation of the line is y = (-2/13)x + 117/13.

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The height of the building is 10 meters.

What are similar triangles?

To be similar, two triangles must have the same shape, which means that their corresponding angles are equal. If the angles in two triangles are the same, they are said to be "congruent". If the angles are congruent and the sides are proportional, then the triangles are similar.

Let's call the height of the building "h". We can use similar triangles to find the height of the building.

This forms two triangles, one with the height of the building and the other with the length of the shadow.

Using the properties of similar triangles, we can set up the following proportion:

h/10 = (h+x)/26

where x is the distance from the tip of the shadow to the bottom of the building. We want to solve for h, so we can simplify and solve for h:

26h = 10 (h+x)

26h = 10h + 10x

16h = 10x

h = 10x/16

h = 0.625x

So, the height of the building is 0.625 times the distance from the tip of the shadow to the bottom of the building. We know that the distance from the top of the building to the tip of the shadow is 26 m, so the distance from the tip of the shadow to the bottom of the building is:

x = 26 - h = 26 - 0.625x

Solving for x, we get:

1.625x = 26

x = 16

Therefore, the height of the building is:

h = 0.625x = 0.625(16) = 10

So, the height of the building is 10 meters.

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Answer:

No

Step-by-step explanation:

\(2x+2y=10 \\ \\ x+y=5 \\ \\ y=-x+5\)

Since the slopes of both of the lines are -1, they are parallel, not perpendicular.

S={-5,-10,-15,-20,-25......}; these are few negative multiples of 5 as stated in the set builder form of set theory {x :x is a negative multiple of 5}.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

Set builder notation is a type of mathematical notation used to describe sets by listing their components or highlighting the requirements that each member of the set must meet. We write sets in the form of in the set-builder notation. 

{y | (properties of y)} OR {y : (properties of y)}

Here,

{x :x is a negative multiple of 5}

S={-5,-10,-15,-20,-25.....}

According to the set builder form of set theory, {x:x is a negative multiple of 5}  S={-5,-10,-15,-20,-25...}; these are a few negative multiples of 5.

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Carey's graph will be a straight line with a slope of -1 and a y-intercept of 3.

Carey correctly graphs a linear function with a slope of -1 and a y-intercept of 3. A linear function is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1 unit. The y-intercept is 3, indicating that the graph intersects the y-axis at the point (0, 3).

To plot the graph, Carey starts by marking the point (0, 3) on the graph. Then, for every unit increase in the x-coordinate, Carey moves one unit downward. Similarly, for every unit decrease in the x-coordinate, Carey moves one unit upward. These steps ensure the correct slope of -1.

After connecting the points, Carey will obtain a line that starts at the y-intercept (0, 3) and slants downward, with a slope of -1. The resulting graph will be a straight line extending to both sides of the coordinate plane.

In conclusion, it is represented by the equation y = -x + 3.

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The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

The simplified expression can be written as:

\((-\sqrt{6} )*(-2*\sqrt{-42} ) = \sqrt{-1,008}\)

Here you need to remember the property:

\(\sqrt{x} *\sqrt{y} = \sqrt{x*y}\)

Now we have the expression:

\((-\sqrt{6} )*(-2*\sqrt{-42} )\)

First, we can cancel the two first negative signs to get:

\((\sqrt{6} )*(2*\sqrt{-42} )\)

Now we can write the 2 as the square root of 4.

\((\sqrt{6} )*(\sqrt{4} *\sqrt{-42} )\)

Finally, we can use the above property to get:

\((\sqrt{6} )*(\sqrt{4} *\sqrt{-42} ) = \sqrt{6*4*(-42)} = \sqrt{-1,008}\)

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Answer:

0, 7, 26, 63

Step-by-step explanation:

1st term: f(1) = 1^3 - 1 = 0

2nd term: f(2) = 2^3 - 1 = 8 - 1 = 7

3rd term: f(3) = 3^3 - 1 = 27 - 1 = 26

4th term: f(4) = 4^3 - 1 = 64 - 1 = 63

We are given that Bank A charges ordinary interest for a loan of $11000 at a rate of 9% for a period of 90 days, we can calculate the total interest using the formula for ordinary interest, this is:

Replacing that we get:

Solving we get:

Now, bank B charges exact interest, the formula is:

Replacing we get:

solving the operation:

Therefore, she will pay less interest to Bank B. Bank B offers a better deal.

The transformation from to f(x) = -√(x - 4) involves reflecting the function across the x-axis and shifting it 4 units to the right.

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

f(x) = -√(x - 4)

The parent function is

f(x) = -√x

The transformation is represented as

f'(x) = (x - 4, -y)

This represents a reflection across the x-axis and a translation 4 units right

The transformed function is added as an attachment

From the graph, we have

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Answer:

I think it is 6 over 2 end fraction

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

As a result, option two (3.50) is correct.

Step-by-step explanation:                                                    
                                   
The code chunk that allows you to filter the data frame for chocolate bars with at least 70% cocoa and a rating of at least 3.5 pounds is as follows

∴ filter(Cocoa, percent>='70%'&Rating>=3.5)


Therefore, the code you write is facet wrap(Cocoa. Percent). Facet wrap() is a function in this code chunk that allows you to wrap a variable's facets. All of the ingredients are derived from cocoa beans. Cacao solids (the "brown" part, which contains health benefits and the unmistakable chocolatey flavor) and cacao butter (the "white" part, which contains the chocolate's fatty component) are split in proportion.


As a result, 3.5 appears in row 1 of your Tibble.

Other options I (iii), and (iv) are incorrect because the question states that any rating greater than or equal to 3.5 points can be considered a
high rating, and the rating here should be 3.5, not 3.75, 4.25, or 4

So, option (ii) is correct.  


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Answer:

I don't know your language

Answer:

se llena con 18.925 litros

Step-by-step explanation:

5x 3.785

Answer:

x=109/56

dn did djs. hd hd hd hd hd hd

No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.

Mark's answer is not correct.

When dividing a number line into equal sections, the value of each section represents a fraction of the whole.

In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.

Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.

So far, this is correct.

However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.

So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.

Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.

Mark made an error by mistakenly assuming that each smaller division represents the number 3.

In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.

The correct representation for dividing the number line as described is 1/6.

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1. Mean = 33.61

2. Standard Deviation = 11.3284

3. Variance = 128.33

The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)

To get mean, we will sum up all the numbers and divide by the total count. The mean is:

= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8

= 268.9 / 8

= 33.62

Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)

= \(\sqrt{128.3336}\)

= 11.3284420818

= 11.3284

Variance = (Standard Deviation)^2

Variance = \(11.3284 ^2\)

Variance = 128.33264656

Variance = 128.33.

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The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1

Answer:   Width of box is not taken up by pencils =  \(2\dfrac58\text{ inches}\)

Width of each pencil \(=\dfrac38\text{ inches}\)

Step-by-step explanation:

Given: Width of pencil box = \(5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}\)

Width of seven pencils = \(2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}\)

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

\(\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}\)

Width of box is not taken up by pencils =  \(2\dfrac58\text{ inches}\)

Width of each pencil = (Width of seven pencils ) ÷ 7

\(=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}\)

Width of each pencil \(=\dfrac38\text{ inches}\)