Let the inverse demand function for the vaccine of the monopolist BoTex be given by:pq=360-2q (p: Price in € ;
q: Quantity in millions of units). The cost function is given by 1000 +q2.
a) Calculate the profit-maximizing quantity of BoTex.
b) Calculate the monopoly price.
c) Calculate the profit.

By the radius-tangent theorem, the radius is equal to 39/10 units.

In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

Since CB is tangent to OA at point C and line segment CB is perpendicular to line segment AC by the radius-tangent theorem, we would determine the radius by applying Pythagorean's theorem as follows;

r^2 + 8^2 = (r + 5)^2

r^2 + 64 = r^2 + 10r + 25

r^2 - r^2 = -10r + 64 - 25

10r = 39

r = 39/10 units.

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The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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Answer:

C. 15/16

Step-by-step explanation:

A. Divide by 3

B. Divide by 5

C. Can't divide by anything.

D. Divide by 4

Answer:

C

Step-by-step explanation:

21/24 = 7/8

35/40 = 7/8

7/8 ≠ 15/16

14/16 ≠ 15/16

28/32 = 7/8

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

max : 2, min : -2

Step-by-step explanation:

this question is kinda hard and brain-intensive but i think i am right

Answer:

max : 2, min : -2

Step-by-step explanation:

max : 2, min : -2

Answer:

288

Step-by-step explanation:

just count by

Vr : Vc

Vr = Volume of rectangular

Vc = Volume of cube

Vr : Vc

4 * ¾ * 1 ½ : ¼ * ¼ * ¼

4.5 : 1/64

4.5 * 64 = 288 cubes needed

The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.

Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.

Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.

Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.

Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).

According to the steps involved in analytical problem solving model:

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Answer:

Step-by-step explanation:

Since we know all the sides are equal, it’s an equilateral triangle and for eqilateral triangles all angles are of 60°, and angles lesser then 90°  are acute so we can say it’s an acute triangle

hope it helped:)

Answer:

2y=3x=-4

Step-by-step explanation:

grouping like terms

y+ly =4x-x=-4

2y=3x=-4

Answer:

5

Step-by-step explanation:

All of the x values are 5, so the domain is 5

Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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Answer:

7238 units^3

Step-by-step explanation:

The formula for the volume of a sphere of radius 12 units is

V = (4/3)(pi)r^3.  

Here, with r = 12 units,

V = (4/3)(pi)(12 units)^3 = 7238 units^3

Answer:

V = 2304π units³

Step-by-step explanation:

V = (4/3)πr^3

V = (4/3)π(12)^3

V = (4/3)π(1728)

V = 2304π units³

Answer:

Heads - Heads - Heads

Tails - Tails - Tails

Heads - Heads - Tails

Heads - Tails - Heads

Heads - Tails - Tails

Tails - Heads - Heads

Tails - Heads - Tails

Tails - Tails  - Heads

Step-by-step explanation:

Step-by-step explanation:

3 times × 2 possible options = 6 possible combinations

HHH

HHT

HTH

THH

TTT

THT

The value of each Trigonometric ratio in a right angle triangle given are;  sin X = 4/5 and cos C = 40/41

From the attached image, we can see the triangles to find the trigonometric ratios.

Now, the formula for sin and cos in a right angle triangle is;

sin = opposite/hypotenuse

cos = adjacent/hypotenuse.

Thus;

1) sin X = 32/40 = 4/5

2) cos C = 40/41

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My explanation is that a quadratic equation is a set of terms of the form (in general): ax2+bx+c=0. A quadratic function is one where the right-hand constant (call it f) is allowed to vary with x, thus giving: f(x)=ax2+bc+c.

The strategies that Yosef use to calculate how much their savings would

be worth in one year and in 10 years are simple addition, multiplication, compound interest.

Yosef can use the following strategies to calculate how much their savings would be worth in one year and in ten years:

Simple Addition: Yosef can add the annual increase of $296 to the initial amount of $150 to calculate the savings after one year. The equation would be: $150 + $296 = $446. So, after one year, Yosef's savings would be $446.

Multiplication: To calculate the savings after ten years, Yosef can multiply the annual increase of $296 by the number of years. The equation would be: $296 * 10 = $2960. Adding this to the initial amount, Yosef's savings after ten years would be $150 + $2960 = $3110.

Compound Interest: If Yosef wants to account for potential interest on their savings, they can calculate compound interest using the formula A = P(1 + r/n)^(nt), where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

However, this strategy assumes that the savings account earns interest, and the interest rate and compounding frequency would need to be known.

Using any of these strategies, Yosef can determine the approximate value of their savings after one year and after ten years.

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Answer:

51

Step-by-step explanation:

The equation represents the fraction of the candy bar you gave away is:

2/10 + 5/10 = 7/10

A fraction is a mathematical representation of a part of a whole. It is used to indicate a portion or a part of a quantity, typically expressed as a ratio of two numbers separated by a horizontal line, called a fraction bar or a vinculum.

The number above the fraction bar is called the numerator, and the number below it is called the denominator.

Since you gave 2/10 of the candy bar to your sister and 5/10 to your brother.

Amount you give away = 2/10 + 5/10 = 7/10

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The probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons, is approximately 0.54.

(a) The probability that the person is traveling on business is 0.7(0.5) + 0.3(0.7) = 0.56.

(b) The probability that the person is traveling for business on a privately owned plane is 0.3(0.7) = 0.21.

(c) The probability that the person arrived on a privately owned plane, given that the person is traveling for business reasons, is given by Bayes' theorem as:

P(private plane | business) = P(business | private plane) * P(private plane) / P(business)

= (0.7 * 0.3) / (0.7 * 0.5 + 0.3 * 0.7) = 0.3 / 0.56 ≈ 0.54.

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We need to show that all of the following conditions hold: a) The outcomes for x are countable and represent specific points on the real number line. b) The probability values, P(x), are between 0 and 1 for all x. c) The sum of all the probabilities, ΣP(X), is equal to 1. The correct answer is option d: All of the above.

In order for a probability distribution to be valid, it must satisfy certain criteria. First, the outcomes for x must be countable, meaning that they are specific points on the real number line. This ensures that the distribution is well-defined and that each outcome has a corresponding probability assigned to it.

Second, the probability values, P(x), must be between 0 and 1 for all x. Probabilities represent the likelihood of each outcome occurring, and they cannot be negative or greater than 1. This condition ensures that the probabilities are within a valid range.

Lastly, the sum of all the probabilities in the distribution must be        equal to 1. This means that when you add up the probabilities of all possible outcomes, the total probability should equal 1, indicating that one of the outcomes will occur.

By verifying that all of these conditions hold for the given probability distribution, we can conclude that it is a valid discrete probability distribution.

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The maximum area that the 60 m can enclose is 225m², the dimensions of the maximal region are 15m x 15m, and the height as an fcn of the base is 30 - b.

Let the base of the rectangular region be "b",

and the height be "h" and,

it is given that the perimeter of the rectangular region = 60m

(a) write height as an fcn of base

by using the formula of the perimeter of a rectangle,

2(h+b) = 60m

we can write, h = 30 - b

⇒Area of the rectangular region

area(A) = height × base

substituting the value of h.

= (30 - b) × b

thus, A(b)= 30b - b²

to find the maximum area that the 60 m can enclose

\(\frac{dA(b)}{db}\) should be equal to 0.

substituting the value of A(b).

30 - 2b = 0

thus, b = 15

maximum area = 30b - b²

substituting the value of b.

= (30 × 15) - 15²

thus, maximum area = 225m².

dimensions of the maximum region,

for maximum area height = base = 15m

thus, the dimensions of the maximum rectangular region are 15m x 15m.

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Answer:

The percentage of IQs that would be over 80 is 68%.

Step-by-step explanation:

The percentage of IQs that would be over 80 is 68%.

This is because 68% of the population falls within one standard deviation of the mean on a normal distribution. In this case, the mean is 100 and the standard deviation is 16, so 68% of the population has an IQ between 84 and 116.

The remaining 32% of the population falls outside of one standard deviation of the mean. 16% of the population has an IQ below 84 and 16% of the population has an IQ above 116.

The mean is represented by the dotted line in the center of the graph. The standard deviation is represented by the two dotted lines on either side of the mean. The shaded area represents the 68% of the population that has an IQ between 84 and 116.

Answer:

a

Step-by-step explanation:

because 5 x6=30 its closer to 3

Answer:

-3x-y=-18

2x+y=14

Step-by-step explanation

i re took the test until i got it right to answer this lol, its correct and good luck with school

Equation represents the value of the collection after 5 years is 350(1.03)³ .

An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

Future value with appreciation can be calculated using the following general formula:

V = P(1+r)ⁿ  where

V = Future value

P = Present value

r = appreciation rate

n = number of years

Given P = $350 , r= 2.8%=0.03 , n = 3

Now we substitute the given values in the equation to get:

V=350(1+0.03)³

or, V= 350(1.03)³

or, V= 381.5 dollars approximately .

Hence the required equation is V= 350(1.03)³ .

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Answer:

A. 8%

B. 39.6%

C. 58.4%

D. 41.6%

Step-by-step explanation:

Computation to determine the probability of eligible voter selected at random

First step is to Draw up a contingincy table which will include Rows = Degree/No degree

and Columns= Vote/Not vote

..............Vote..No vote

Degree 80...20...100

(80%*100=80)

(100-80=20)

No Degree 504..396..900

(1000-100=900)

(56%*900=504)

(504-900=396

Totals 584..416...1000

(80+504=584)

(20+396=416)

(900+100=1,000)

Summary

..............Vote..No vote

Degree 80...20...100

No Degree 504..396..900

Total Totals 584..416...1000

A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.

P = 80/1,000

P=0.08*100

P=8%

Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%

B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.

P =396/1000

P=0.396*100

P=39.6%

Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%

C. Calculation to determine the probability if The voter voted in the last presidential election.

P = 584/1,000

P=0.584*100

P=58.4%

Therefore the probability if The voter voted in the last presidential election will be 58.4%

D. Calculation to determine the probability if The voter did not vote in the last presidential election.

P = 416/1000

P=0.416*100

P=41.6%

Therefore the probability if The voter did not vote in the last presidential election will be 41.6%

Answer:

P=7

Step-by-step explanation:

7-3=4

4/2=2

therefore,

p=7

The situation for which the explicit formula of the arithmetic sequence would be used instead of the recursive formula is given as follows:

Find the 106th term when the first term is of 2 and the common difference is of 5.

An arithmetic sequence is a sequence of numbers in which the difference between two consecutive terms is always constant, called common difference d.

The recursive formula is given as follows:

f(n + 1) = f(n) + d.

The first term f(1) is given.

Hence, the recursive sequence should be used to calculate a small number of terms, such as at most 15 terms.

For a large number of terms, the explicit formula should be used, which is given as follows:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term.

Hence, in this problem, the 106th term should be calculated with the explicit formula, meaning that the first option is the correct option.

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