add: 8x^2+7xy-6y^2, 4x^2-3xy+2y^2 and -4x^2+xy-y^2

Mark's football team has scored about 24 points each game. They played 12 games this season. The best estimate for the total number of points they scored in the season is 288.

There are various types of questions that can be solved with the help of estimation, such as population estimation, test score estimation, estimation of the number of litres of paint needed to paint a room, or how many points a football team scored in a season.

Estimation is an educated guess based on prior knowledge, experience, and reasoning about how much something should be. It's an essential tool for simplifying math problems and assisting in quick calculations.

As per the question, the football team scored about 24 points per game, and the total number of games played in the season was 12.

To find the best estimate of the total number of points scored by the team in the season, we will have to multiply the points scored per game (24) by the total number of games played (12). This can be represented as:

24 × 12 = 288

Thus, Mark's football team scored an estimated 288 points in the season.

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Answer:

Yes, you are correct. It is (0,0)

Step-by-step explanation:

The lower left side of the curve hits the axis at 0,0 so you are correct. Try it

S = 365√x

Let x = 0

The square root of x when x = 0 is 0.

So S = 365√0

S = 0

Answer:

the statement that is true is: A and B are not independent because P(AIB) + P(B) is not equal to P(BIA) + P(A)

Step-by-step explanation:

ur welcome

Answer:

i have a simple hack for this

Step-by-step explanation:

fyou see how theres a line? yes so act as if the 2 parts arent together just do 8x5x22 which equals 880 then do 8x5x12 which equals 480 then we add them together because the shapes were originally together so we do 880+480 which gets us to 1360

Answer:

I'm unsure

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The area of a triangle is

A=1/2 bh

Where b is the base and h is  the height

A = 1/2 (4)(2)

A = 4

the answer is 3^5 because multiplication is done by adding the carriers

Answer:

x = 5

Step-by-step explanation:

Rewrite the equation

3^x+2=2187

perform prime factorization of the right side

2187=3^7

3^x+2 = 3^7

equate the exponents of 3 on both sides

x+2 = 7

solve for x

x=5

Diversified Citrus Industries will sell Zap to wholesalers at a price of $0.035 per 8-ounce can. The contribution per unit for Zap is -$0.205, indicating potential profitability issues.

a. To determine the price at which Diversified Citrus Industries will be selling its product to wholesalers, we need to consider the suggested retail price, the unit variable costs, and the desired margins for retailers and wholesalers. The suggested retail price to the consumer for the 8-ounce can is $0.05. The unit variable costs for the product are $0.18 for materials and $0.06 for labor. The company intends to give retailers a margin of 20% off the suggested retail price and wholesalers a margin of 10% of the retailer's cost.

Price to Wholesalers = Suggested Retail Price - Retailer's Margin - Wholesaler's Margin

Price to Wholesalers = $0.05 - ($0.05 * 20%) - ($0.05 * 10%)

Price to Wholesalers = $0.05 - $0.01 - $0.005

Price to Wholesalers = $0.035

Therefore, Diversified Citrus Industries will be selling its product to wholesalers at a price of $0.035 per 8-ounce can.

The contribution per unit for Zap can be calculated by subtracting the unit variable costs from the selling price to wholesalers:

Contribution per Unit = Price to Wholesalers - Unit Variable Costs

Contribution per Unit = $0.035 - ($0.18 + $0.06)

Contribution per Unit = $0.035 - $0.24

Contribution per Unit = -$0.205

Since the contribution per unit is negative, it means that the variable costs exceed the price to wholesalers. This suggests that the product may not be profitable in its current pricing and cost structure.

The break-even unit volume in the first year can be calculated by dividing the fixed overhead costs by the contribution per unit:

Break-even Unit Volume = Fixed Overhead Costs / Contribution per Unit

Break-even Unit Volume = $90,000 / (-$0.205)

However, since the contribution per unit is negative, the break-even unit volume cannot be determined using this approach.

The first-year break-even share of the market cannot be determined based on the information provided. The total market size and the expected sales volume of Zap are not specified, making it impossible to calculate the market share at the break-even point.

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To have a more realistic picture of a typical salary, the following statement(s) on the measure of central tendency can be true:

1. Median: The median is the middle value in a dataset when the data is arranged in ascending or descending order. It is a suitable measure of central tendency for salaries when there are extreme values or outliers present. The median is less affected by extreme values compared to the mean, making it a more robust measure.

2. Mode: The mode represents the most frequently occurring value in a dataset. If there are specific salary ranges or categories that occur more frequently, identifying the mode can provide insight into the typical salary category.

Both the median and mode can help provide a more realistic picture of a typical salary, especially when the data has a skewed distribution or contains outliers. The mean (average) is also commonly used as a measure of central tendency, but it can be influenced by extreme values and may not accurately represent a typical salary when there are significant variations in the dataset.

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To have a more realistic picture of a typical salary, it is important to consider the measure of central tendency. The measure of central tendency is a statistical measure that represents the typical or central value in a dataset. Here are some statements that are true regarding the measure of central tendency:

1. The mean: This is the most commonly used measure of central tendency. It is calculated by summing up all the values in a dataset and dividing it by the total number of values. The mean provides a good representation of the typical salary when the dataset is normally distributed and does not have extreme outliers. For example, if we have salaries of $30,000, $40,000, $50,000, $60,000, and $100,000, the mean salary would be $56,000.

2. The median: The median is the middle value in a dataset when the values are arranged in ascending or descending order. It divides the dataset into two equal halves. The median is a more robust measure of central tendency because it is not affected by extreme values or outliers. For example, if we have salaries of $30,000, $40,000, $50,000, $60,000, and $100,000, the median salary would be $50,000.

3. The mode: The mode is the value that appears most frequently in a dataset. It can be used to identify the most common salary category. For example, if we have salaries of $30,000, $40,000, $40,000, $50,000, $60,000, and $100,000, the mode salary would be $40,000.

To have a more realistic picture of a typical salary, it is recommended to consider multiple measures of central tendency together. By looking at the mean, median, and mode, you can gain a more comprehensive understanding of the distribution and variability of salaries in a dataset. Additionally, it is important to consider the context of the dataset and any potential biases or limitations that may affect the accuracy of the measures of central tendency.

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Answer:

its 1.5

Step-by-step explanation:

Answer:

18/12 or 3/2 or 1.5

Step-by-step explanation:

Answer:

\( \frac{2}{5} + \frac{1}{10} \\ \frac{2}{2} \times \frac{2}{5} + \frac{1}{10} \\ = \frac{4}{10} + \frac{1}{10} = \frac{4 + 1}{10} \\ = \frac{5}{10} = \frac{1}{2} \\ thank \: you\)

The rounding off 23,000 to the nearest thousand gives us 23,000 itself, and the smallest possible number rounded off to the nearest thousand is 22,000, which is the next lower multiple of 1000 from 23,000.

Rounding off a number to the nearest thousand means finding the closest multiple of 1000 to that number. To do this, we look at the last three digits of the number. If the last three digits are 500 or greater, we round up, and if the last three digits are less than 500, we round down.

In this case, the number we are rounding off is 23,000. The last three digits are 000, which means that the number is already a multiple of 1000. Therefore, rounding off 23,000 to the nearest thousand gives us 23,000 itself.

To find the smallest possible number, we look at the next lower multiple of 1000. The next lower multiple of 1000 from 23,000 is 22,000. Therefore, the smallest possible number rounded off to the nearest thousand is 22,000.

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Value if p is $16 which maximizes the total revenue.

We need to first find the total revenue equation and then maximize it. Here are the steps:

Step 1: Write the demand equation.
x = 960 - 30p

Step 2: Write the total revenue equation.
Total Revenue (R) = price (p) × quantity (x)
R = px

Step 3: Substitute the demand equation into the total revenue equation.
R = p(960 - 30p)

Step 4: Simplify the total revenue equation.
R = 960p - 30p²

Step 5: Differentiate the total revenue equation with respect to p.
dR/dp = 960 - 60p

Step 6: Set the derivative equal to zero to find the critical points.
0 = 960 - 60p

Step 7: Solve for p.
60p = 960
p = 960/60
p = 16

So, the value of p that maximizes the total revenue is $16.

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Answer:

4

__

13

Step-by-step explanation:

look up top for explanation

Answer:

Solve for Y:

Subtract 13x

from both sides of the equation.

y=4−13x

Solve for X:

Move all terms that don't contain x

to the right side and solve.

x=4/13−y/13

Step-by-step explanation:

i think?

Answer:

Step-by-step explanation:

Point D lies on the line, so it is invariant.

Point E is a distance of 4 units away from the line y=-1, so E is now (1, -1-4)=(1, -5).

By the same logic, F' is now (3, 0).

The image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .

The given point P is "reflected" in the mirror and appears on the other side of the line an equal distance it. Drag the point P to see this. The reflection of the point P over the line is by convention named P' (pronounced "P prime") and is called the "image" of point P.

According to the question

Triangle points given

D(-1,-1), E(1,3), F(3, -2)

and reflected across the line y = -1

As, we have to reflect from  y = -1 , there will be no change in x axis in image points only y axis will be change .

D(-1,-1)

x axis = -1

y axis = -1

x' axis = -1

y' axis = distance from -1 to -1 = 0

therefore,

y' axis = -1

D'(-1,-1)

E(1,3)

x axis = 1

y axis = 3

x' axis = 1

y' axis = distance from 3 to -1 = |3 -(-1 ) |= 4 unit

therefore, 4 unit form -1 in negative

y' axis = - 5

E'(1,-5)

F(3, -2)

x axis = 3

y axis = -2

x' axis = 3

y' axis = distance from -2 to -1 = |-2 -(-1 )| = 1 unit

therefore, 1 unit form -1 in positive

y' axis = 0

F'(3, 0)

Hence, the image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .

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Answer:

4

Step-by-step explanation:

-3p+6+7p=22

-3p+7p=16

4p=16

p=4

Answer:

p = 4

Step-by-step explanation:

-3p+6+7p = 22

     -6         -6

----------------------

-3p+7p = 16

4p = 16

---     ---

4       4

------------

p = 4

The region's sector AHB is a circle's sector. This is due to the fact that it diameter is shaped like a slice of pizza and is bounded by two radii and an arc of the circle.

In geometry, the diameter of a circle is any linear fashion segment that has an endpoint mostly on circle and travels through its centre. Another way to put it is the tallest chord of a circle

The diameter of the circle is represented by the line segment AB. This is due to the fact that it runs through the centre H and connects two points on the circle.

The radius of the circle is represented by the line segment AH. This is because it connects the circle's centre H to a point A.

The chord is the line segment. The chord CD is a circle chord. This is due to the fact that it connects two points on a circle but does not pass through the centre.

Tangent to the circle: The line segment EF is tangent to the circle. This is due to the fact that it only intersects the circle at one point, G, and is perpendicular to the radius GH at that point.

ABG's curve is an arc of the circle. This is because it is part of the circle's circumference, connecting two points A and B.

The region's sector AHB is a circle's sector. This is due to the fact that it is shaped like a slice of pizza and is bounded by two radii and an arc of the circle.

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The definite integral is 2.5.

The given definite integral is ∫₆³ |x-4| dx. We can evaluate this integral by breaking it up into two separate integrals, depending on the sign of x-4. When x-4 ≥ 0, the absolute value of x-4 is simply x-4, and when x-4 < 0, the absolute value of x-4 is -(x-4). Thus, we have:

We can split the integral into two parts:

For x between 3 and 4:

I1 = ∫\(3^4\) (x-4)dx

= [\(x^2\)/2 - 4x]\(3^4\)

= [(16-12)-(9/2-12)]

= 2.5

For x between 4 and 6:

I2 = ∫\(4^6\) (4-x)dx

= [4x - \(x^2\)/2]\(4^6\)

= [(24-16)-(16-8)]

= 0

So the total integral is:

I = I1 + I2 = 2.5 + 0 = 2.5

Therefore, the definite integral is 2.5.

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A statement which best describes the function that represents the situation include the following: A) It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.

In Mathematics and Geometry, a linear function refers to a type of function whose equation is graphically represented by a straight line on the xy-plane or cartesian coordinate.

This ultimately implies that, a linear function has the same (constant) slope or ratio of change and it is typically used for uniquely mapping an input variable to an output variable, which both increases simultaneously.

In this context, we have the following linear function;

F = 0.75x

where:

F represents the final cost in dollars.

x represents the price on the tag in dollars.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Timothy is currently 7 years old and Adele's current age is 12 years old.

To solve this age problem involving Adele and Timothy, we can set up two equations based on the information given. Let A represent Adele's current age and T represent Timothy's current age. The problem states:
Adele is 5 years older than Timothy: A = T + 5
In three years, Timothy will be 2/3 of Adele's age: (T + 3) = (2/3)(A + 3)
First, let's rewrite equation 1 in terms of T: T = A - 5
Now, substitute this expression for T into equation 2:
(A - 5 + 3) = (2/3)(A + 3)
Simplify the equation:
A - 2 = (2/3)(A + 3)
Multiply both sides by 3 to eliminate the fraction:
3(A - 2) = 2(A + 3)
Expand:
3A - 6 = 2A + 6
Now, solve for A:
A = 12
So, Adele's current age is 12 years old. To find Timothy's age, we can use the equation T = A - 5:
T = 12 - 5 = 7
Thus, Timothy is currently 7 years old. Therefore, the correct answer is not among the given options, as Adele's current age is 12 years.

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Answer:

1. 51°

2. 55°

3. 5x + 10

Step-by-step explanation:

1. We know ∠B + 39° = 90°, so ∠B = 90 - 39 = 51

2. We can use an algebraic equation to solve this problem.

    2x + 70 = 180

    2x + 70 (-70) = 180 (-70)

    2x (/2) = 110 (/2)

    x = 55

3. ∠ABD = (3x + 10) + (2x) = 5x + 10

Answer:

1 3/4 / 4

x / 3

Step-by-step explanation:

The answer is about 1.31 cups.

hope this helps

Answer:

easy, the 37 is larger

Step-by-step explanation:

you owe -32 but you have more than that.

An equation of the tangent line to the curve \(x e^y+y e^x=4\) at the point (0, 4) is \(y=-(4+e^4) x+4\).

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  \(\left.y^{\prime}\right|_{x=0, y=4}\) as-

Consider the given equation;

\(x e^y+y e^x=4\)

Differentiate both side with respect to x;

\(\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}\)

Now apply product rule;

\(\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}\)

Applying exponential and power rule;

\(\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}\)

Solve the value of y'

\(y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}\)

Now, find the value of slope m.

\(m=\left.y^{\prime}\right|_{x=0, y=4}\)

\(\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4\)

Now, using the point-slope formula, obtain the line equation as follows.

\(\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}\)

Therefore, an equation of the tangent line to the curve is   \(y=-(4+e^4) x+4\).

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The limit of 1/x^2/3 as x approaches 0 is equal to -∞.

To solve the given limit, we need to use the concept of L'Hopital's rule. The L'Hopital's rule states that if lim x→a f(x)/g(x) is in the form of 0/0 or ∞/∞, then it can be evaluated by taking the derivative of numerator and denominator until a limit is obtained that is not in the indeterminate form.Using the L'Hopital's rule:lim x→0 (1/x^2/3) = lim x→0 (x^-2/3)/1 = lim x→0 (1/(-2/3) * x^(1/3))= lim x→0 3/(-2x^(1/3))= -∞So, the limit of 1/x^2/3 as x approaches 0 is equal to -∞.

Explanation:Given limit is lim x→0 1/x^2/3To solve the given limit, we have used the concept of L'Hopital's rule. L'Hopital's rule states that if lim x→a f(x)/g(x) is in the form of 0/0 or ∞/∞, then it can be evaluated by taking the derivative of numerator and denominator until a limit is obtained that is not in the indeterminate form.So, we have taken the derivative of numerator and denominator as shown above and obtained a limit that is not in the indeterminate form.

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the number of one-to-one functions f from the set {1, 2, . . . , 2n} to the set {1, 2, . . . , 2n} so that f(x)\neqx for all 1 ≤ x ≤ n and f(x) = x for some n+1 ≤ x ≤ 2n is n(2n-1-n)(2n-2)!.

We can approach this problem using the principle of inclusion-exclusion. Let A be the set of all one-to-one functions from {1, 2, . . . , 2n} to itself, B be the set of all one-to-one functions that fix at least one element in {n+1, n+2, . . . , 2n}, and C be the set of all one-to-one functions that fix at least one element in {1, 2, . . . , n}. We want to count the number of functions in A that are not in B or C.

The total number of one-to-one functions from {1, 2, . . . , 2n} to itself is (2n)!.

To count the number of functions in B, we can choose one element from {n+1, n+2, . . . , 2n} to fix, and then permute the remaining elements in (2n-1)! ways. There are n choices for the fixed element, so the number of functions in B is n(2n-1)!.

Similarly, the number of functions in C is n(2n-1)!.

To count the number of functions in B and C, we can choose one element from {1, 2, . . . , n} and one element from {n+1, n+2, . . . , 2n}, fix them both, and permute the remaining elements in (2n-2)! ways. There are n choices for the first fixed element and n choices for the second fixed element, so the number of functions in B and C is n^2(2n-2)!.

By inclusion-exclusion, the number of functions in A that are not in B or C is:

|A - (B ∪ C)| = |A| - |B| - |C| + |B ∩ C|

= (2n)! - n(2n-1)! - n(2n-1)! + n^2(2n-2)!

= n(2n-1)! - n^2(2n-2)!

= n(2n-2)!(2n-1-n)

= n(2n-1-n)(2n-2)!

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