I need help asp please!!!

To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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Answer:

(-2,3)

Step-by-step explanation:

In order to solve the system using substitution, one of the variables must be defined so we can substitute it into the other equation.

We can easily define x in the second first by adding 2y from both sides

x - 2y = - 8

* add 2y to both sides *

x = 2y - 8

Now that we have defined x in the first equation we can plug in the defined value of x into the second equation

6x + 7y = 9

substitute 2y - 8 for x

6 (2y - 8) + 7y = 9

distribute 6 to -2y and -8

6 * 2y = 12y

6 * -8 = -48

12y - 48 + 7y = 9

combine like terms ( 12y + 7y = 19y )

19y - 48 = 9

add 48 to both sides

19y = 57

divide both sides by 19

19y/19 = y and 57/19 = 3

we're left with y = 3

Now that we have found the value of one of the variables we can plug it in to one of the equations ( note that plugging the value of y and solving for x in either equation will lead us to the same answer ) and solve for the other variable (x)

x - 2y = -8

y = 3

x - 2(3) = -8

multiply -2 and 3

x - 6 = -8

add 6 to both sides

x = -2

so x = -2 and y= 3

Therefore the solution to the system of equations is (-2,3)

Answer:

each get 2 and 1/4 of an apple :) pls give brainliest

Step-by-step explanation:

I think it is done like this but I am not sure.

Simplifying

9 + -4(2x + -1) = 45

Reorder the terms:

9 + -4(-1 + 2x) = 45

9 + (-1 * -4 + 2x * -4) = 45

9 + (4 + -8x) = 45

Combine like terms: 9 + 4 = 13

13 + -8x = 45

Solving

13 + -8x = 45

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + -8x = 45 + -13

Combine like terms: 13 + -13 = 0

0 + -8x = 45 + -13

-8x = 45 + -13

Combine like terms: 45 + -13 = 32

-8x = 32

Divide each side by '-8'.

x = -4

Simplifying

x = -4

The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.

We have,

Distribute the -4 to the terms inside the parentheses:

9 - 4(2x - 1) = 45

9 - 8x + 4 = 45

Combine like terms:

13 - 8x = 45

Move the constant term to the other side of the equation by subtracting 13 from both sides:

13 - 8x - 13 = 45 - 13

-8x = 32

Divide both sides of the equation by -8 to isolate the variable:

(-8x) / (-8) = 32 / (-8)

x = -4

Therefore,

The solution to the equation 9 - 4(2x - 1) = 45 is x = -4.

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The dimension of a rectangle is 17m and 17m.

Here we have to find the area of a rectangle as large as possible.

Data given:

Perimeter = 68m

The formula for the perimeter of the rectangle:

perimeter = 2(length + breadth)

68 = 2( l + b)

l + b = 34

We have to find the largest area, so when we will take the length and breadth same then we get the largest area.

So length = breadth

2 length = 34

length = 17m

length = breadth = 17m

Therefore the dimensions are 17m and 17m.

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The probability that a single randomly selected value is less than 988 dollars is 0.4602

The probability that a sample of size n = 87 is randomly selected with a mean of fewer than 988 dollars is 0.166

What is the probability?

A probability is a number that represents the likelihood or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here, we have

Given: Assume the standard deviation is 249 dollars. You take a simple random sample of 87 auto insurance policies.

The probability that a single randomly selected value is less than 988 dollars.

Mean  = 1014  , standard deviation = 249

P(X < 988) = P((988 - 1014)/249)

                   = p(z < -0.1044)

                   = 1 - p(z < 0.1044)

                   = 1 - 0.5398

                   = 0.4602

The probability is that a sample of size n = 87 is randomly selected with a mean of less than 988 dollars.

P(x < 988) = P((z < (988-1014)/(249/√(87)))

                   = p(z < -0.9739)

                  = 1 - p(z < 0.9739)

                 = 1 - 0.834

                 = 0.166 less than 988 dollars.

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Answer:

no solutions

Step-by-step explanation:

there are no solutions

Answer:

no solution

Step-by-step explanation:

If the perimeter is 16' the sum of the length and width must be 8'. Assuming that area is non 0 possible dimensions are:

1x7 2x6 3x5 4x4 5x3 6x2 7x1

Answer:

We cant see what you are talking about we cant see the equation

Step-by-step explanation:

Step-by-step explanation:

106+94+135+5 = 340

540-340=200

200/2= 100

X = 100

Answer:

3/2 pi radians

Step-by-step explanation:

To change to radians. multiply by pi/180

270 * pi/180

3/2 pi

Answer:

a. 7.78%

b.

c. lower

Step-by-step explanation:

The situation that describes a similar but not congruent triangle is a dilation, as the side lengths are different but the angle measures are constant.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The definitions for similar and congruent triangles are given as follows:

For the dilation, due to the multiplication of the side lengths by the scale factor, the side lengths are modified, meaning that the original triangle and the dilated triangle are not congruent.

The angle measures, conversely, remain constant, meaning that the original triangle and the dilated triangle are similar.

This problem is incomplete, hence a simple example was given of a case in which triangles are similar but not congruent.

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Answer:

D.\(\sqrt 41\)

Step-by-step explanation:

I ain't talk to you in so long Misaela what's going on with youuu

<3

Answer:

Then it would be the other way around 19 ≥ k + 6

Wait for more responses if needed.

The given Inequality is correct when 19 ≥ k + 6.

Inequality compares "two values, showing if one is less than, greater than, or simply not equal to another one".

Given k + 6 ≥ 19 if k = 11

11 + 6 ≥ 19  substitute k = 11

17 ≥ 19 here Inequality is False.

Hence, 19 ≥ k + 6.

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The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

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

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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Answer:

y = (-6/13)x + (4/13).,

Step-by-step explanation:

the equation of the line is:

y = mx + b, where "m" is the slope and "b" gives the y-intercept

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

m = (-2 - 4)/(5 - (-8))

m = -6/13

y = (-6/13)x + b

the line passes through the point (-8,4) means that for x = -8, y = 4

4 = (-6/13)(-8) + b

b = 4 - (-6/13)(-8)

b = 4/13

the equation of the line that passes through the points (-8,4) and (5,-2) is:

y = (-6/13)x + (4/13).

Answer:

Each hamburger costs 3.49

Step-by-step explanation:

Take the total cost and divide by the number of hamburgers

20.94/6 =3.49

Each hamburger costs 3.49

Answer: Firstly the area of parallelogram is. = b×h. so value of base is 9cm and height is 45cm . So area is equal to. base×height. = 9×45= 405² cm.

405cm²

Answer:

The light intensity is 528 foot-candles at 5 feet

Step-by-step explanation:

If x and y are in inverse variation, then x y = k, where k is the constant of variation

In the given question

∵ The intensity I, of light received at a source, varies inversely as the

   square of the distance d, from the source

→ That means I × d² = k, where k is the constant of variation

∴ I × d² = k

∵ I = 33 foot-candle at d = 20 feet

→ Substitute them in the rule above to find k

∴ 33 × (20)² = k

∴ 33 × 400 = k

∴ 13200 = k

→ Substitute the value of k in the equation

∴ I × d² = 13200 ⇒ equation of variation

∵ d = 5

→ Substitute it in the equation to find I

∵ I × (5)² = 13200

∴ I × 25 = 13200

→ Divide both sides by 15

∴ I = 528

∴ The light intensity is 528 at 5 feet

Step-by-step explanation:

Sum of angles in a triangle is 180°

So,

x + 44° + 53° = 180°

x + 97° = 180°

x = 180° - 97°

x = 83°

Answer:

x+44+53=180

Step-by-step explanation:

x+44+53=180

44+53=97

180-97=83

Answer:

i think 1 or 3

Step-by-step explanation:

Answer:

pretty sure its 2

Answer:

Hi how are you doing today Jasmine

The evaluation of the complex number results as 22 - (62/37)j

We are given two complex numbers to evaluate: (2 + j3/1 - j6) and (7 - j8/-5 + j11). To simplify the expression, let's work with one complex number at a time.

The first complex number, (2 + j3/1 - j6), can be written as follows: 2 + j3/(1 - j6)

The conjugate of a complex number a + bj is given by a - bj.

In this case, the conjugate of (1 - j6) is (1 + j6). So, multiplying both the numerator and denominator by (1 + j6), we get:

[(2 + j3) * (1 + j6)] / [(1 - j6) * (1 + j6)]

Expanding the numerator and denominator, we have:

[(2 + j3)(1 + j6)] / [1² - (j6)²]

Simplifying each term within the numerator and denominator, we get:

[(2 + j3)(1 + j6)] / [1 - (-36)]

Continuing to simplify, we have:

[(2 + j3)(1 + j6)] / [1 + 36]

Multiplying the terms within the numerator, we get:

(2 * 1) + (2 * j6) + (j3 * 1) + (j3 * j6) / 37

Simplifying further, we have:

2 + 12j + j3 + j² * 3 / 37

The term j² is equal to -1, so the expression becomes:

2 + 12j + j3 - 3 / 37

Combining like terms, we have:

(2 - 3) + (12 + 3)j / 37

This simplifies to:

-1 + 15j / 37

Therefore, the first complex number (2 + j3/1 - j6) simplifies to -1 + 15j / 37.

Now let's move on to the second complex number, (7 - j8/-5 + j11):

The expression can be rewritten as:

(7 - j8) / (-5 + j11)

To simplify the expression further, we again need to rationalize the denominator. We multiply both the numerator and denominator by the conjugate of the denominator, which in this case is (-5 - j11).

[(7 - j8) * (-5 - j11)] / [(-5 + j11) * (-5 - j11)]

Expanding the numerator and denominator, we get:

[(-35 - 7j11 + j8 * 5 - j8 * j11)] / [(-5)² - (j11)²]

Simplifying each term within the numerator and denominator, we have:

[-35 - 7j11 + 5j8 - j8j11] / [25 - j²11]

Simplifying further, we have:

[-35 - 7j11 + 5j8 + j² * 8 * 11] / [25 - (-121)]

Since j² is equal to -1, the expression becomes:

[-35 - 7j11 + 5j8 - 88] / [25 + 121]

Combining like terms, we have:

(-123 - 7j11 + 5j8) / 146

Therefore, the second complex number (7 - j8/-5 + j11) simplifies to (-123 - 7j11 + 5j8) / 146.

Finally, we can evaluate the sum of the two complex numbers by adding them together:

(-1 + 15j / 37) + ((-123 - 7j11 + 5j8) / 146)

To add these complex numbers, we add the real parts together and the imaginary parts together:

(-1 + -123) + (15j + -7j11 + 5j8) / 37 + 146

Simplifying further, we get:

-124 + 15j - 77j + 40j / 37 + 146

Combining like terms, we have:

-124 - 62j / 37 + 146

The final result of the evaluation is:

22 - (62/37)j

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Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.

In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:

$$PF + PF' = 2a,$$

where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:

$$9 + 12 = 2a,$$

$$21 = 2a.$$

Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$

The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:

$$c = \sqrt{a^2 - b^2}.$$

We can solve for $b$ using the distance to one focus:

$$c = \sqrt{a^2 - b^2},$$

$$c^2 = a^2 - b^2,$$

$$b^2 = a^2 - c^2,$$

$$b = \sqrt{a^2 - c^2}.$$

Substituting the known values:

$$b = \sqrt{10.5^2 - 9^2},$$

$$b = \sqrt{110.25 - 81},$$

$$b = \sqrt{29.25},$$

$$b \approx 5.408.$$

Therefore, the semi-minor axis $b$ is approximately $5.408.$

Finally, we can determine the lengths of the major and minor axes:

The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$

The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$

Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.

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Using the triangle sum theorem, x = 7 and y = 18.

The theorem that says that all the interior angles of a triangle will be equal to 180 degrees is referred to as the triangle sum theorem.

In the diagram given, since vertical angles are congruent, therefore:

(11x - 9) + (6x - 2) + 72 = 180 [triangle sum theorem]

Solve for x

11x - 9 + 6x - 2 + 72 = 180

17x + 61 = 180

17x = 180 - 61

17x = 119

x = 7

Also,

(5y - 8) + (11x - 9) + 30 = 180 [triangle sum theorem]

5y - 8 + 11x - 9 + 30 = 180

5y + 13 + 11x = 180

Plug in the value of x

5y + 13 + 11(7) = 180

5y + 13 + 77 = 180

5y + 90 = 180

5y = 180 - 90

5y = 90

y = 90/5

y = 18

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Answer:

118.7 inches squared.

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The expression for solving the area of a circle is A = π × \(r^{2}\).

To solve for the semicircle above, we can divide the diameter into 2 to get the radius.

So, the radius of the upper semicircle is 6 inches.

If the radius of a circle is 6 inches, then you can substitute r for 6 into the formula.

This simplifies to A = 36π. If a semicircle if half the size of a normal circle, then it will be A = 18π, because 36 ÷ 2 = 18.

To solve for the lower semicircle, we can do the same this as we did above.

But wait, we don't know the radius or diameter!

No worries! To solve for the diameter of the circle, we can take the line that is parallel to the semicircle (the one that has a length of 12in) and subtract 6 from it. We subtract 6 from it because the semicircle takes up the remaining length of the line, not including the 6in.

To solve for the lower semicircle, we can divide the diameter by 2 to get the radius.

So, the radius of the circle is 3.

Now we can insert 3 into the expression.

This simplifies to A = 9π. If a semicircle if half the size of a normal circle, then it will be A = 4.5π because like above, 9 ÷ 2 = 4.5.

Adding the two semicircles together:

So, the area of both semicircles is approximately 70.6858 square inches.

To solve for the area of a rectangle we use the expression:

Inserting the dimensions of the rectangle:

So, the area of the rectangle is 48 square inches.

Adding the two areas together:

Therefore, the area of the entire figure, rounded to the nearest tenth is \(118.7\) \(in^{2}\).

Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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Answer:The set of numbers that could represent the lengths of the sides of a right triangle is 3, 4, 5.This is because these numbers satisfy the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In other words, for a right triangle with legs a and b and hypotenuse c, a² + b² = c².In the case of 3, 4, 5, we have:3² + 4² = 9 + 16 = 25 = 5²So, these numbers could represent the lengths of the sides of a right triangle.The other sets of numbers, 8, 12, 16 and 16, 32, 36, and 9, 10, 11, do not satisfy the Pythagorean theorem and therefore cannot represent the lengths of the sides of a right triangle.

Step-by-step explanation: