Your answer should be a polynomial in standard form.
(x-2)(x-1)

In mathematics, linear programming is a technique for maximizing operations under certain restrictions.

Using the mathematical modeling technique of linear programming, a linear function is maximized or minimized depending on the restrictions it is subjected to. This method has proved helpful for directing quantitative judgments in business planning, industrial engineering, and—to a lesser extent—in the social and physical sciences.

In mathematics, linear programming is a technique for maximizing operations under certain restrictions. Maximizing or minimizing the numerical value is the primary goal of linear programming. It comprises of linear functions that are subject to restrictions in the form of inequalities or linear equations.

Therefore, the correct answer is option A. this is a binding constraint, so there is no slack or surplus.

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The Walt Disney Company has successfully used related diversification to create value by leveraging its existing brand and intellectual properties to enter new markets and expand its product offerings.

Through related diversification, Disney has been able to extend its brand into various industries such as film, television, theme parks, consumer products, and digital media. By utilizing its well-known characters and franchises like Mickey Mouse, Disney princesses, Marvel superheroes, and Star Wars, Disney has been able to capture the attention and loyalty of consumers across different age groups and demographics.

For example, Disney's acquisition of Marvel Entertainment in 2009 allowed the company to expand its presence in the superhero genre and tap into a vast fan base. This strategic move not only brought in new revenue streams through the production and distribution of Marvel films, but also opened doors for merchandise licensing, theme park attractions, and television shows featuring Marvel characters. Disney's related diversification strategy has helped the company achieve synergies between its various business units, allowing for cross-promotion and cross-selling opportunities.

Furthermore, Disney's related diversification has also enabled it to leverage its technological capabilities and adapt to the changing media landscape. With the launch of its streaming service, Disney+, in 2019, the company capitalized on its vast library of content and created a direct-to-consumer platform to compete in the growing digital entertainment market. This move not only expanded Disney's reach to a global audience but also provided a new avenue for monetization and reduced its reliance on traditional distribution channels.

In summary, Disney's successful use of related diversification has allowed the company to create value by expanding into new markets, capitalizing on its existing brand and intellectual properties, and leveraging its technological capabilities. By strategically entering complementary industries and extending its reach to a diverse consumer base, Disney has been able to generate revenue growth, enhance its competitive position, and build a strong ecosystem of interconnected businesses.

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Answer:

3.75y

Step-by-step explanation:

Do u need the work?

a)  The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.

b) The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.

Given that:

Radius of the circle, r = 8.20cm

Charge distributed along one-quarter of the circumference of the circle,

Q1 = +4.20pC

Charge distributed along 3/4th of the circumference of the circle,

Q2 = 25.20pC

Distance of the point from the center, d = 6.71cm

The electric potential at infinity is. V = 0

Using the concept of potential at a point on a thin rod, we can obtain the individual potential due to each charge. The sum of these values ​​can now be used to obtain the desired potential value at the center and at the point, taking into account the distance to the point.

Formula:

The potential due to a point charge at a distance r from the point charge is determined by the equation V = \(\frac{1}{4\pi E_0} * \frac{q}{r}\)        ---------------- (1)

The potential due to the collection of point charges is determined by formula:

V = ∑\(\frac{1}{4\pi E_0} * \frac{q}{r}\)                 -------------------- (2)

(a) The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:

\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{R}\)              --------------------- (3)

Here, R is the radius of circle

The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:

\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{R}\)                 ----------------------- (4)

Now the potential V(center) at the center C of the circle due to charges Q1 and Q2 is the sum of the potential due to charge Q1 and the potential due to charge Q2. This is given using equations (a) and (b) in equation (ii) as:

    \(V_Center = \frac{1}{4\pi E_0} * \frac{Q_1}{R} + \frac{1}{4\pi E_0} * \frac{Q_2}{R}\)

⇒ \(V_Center = \frac{1}{4\pi E_0} *( \frac{Q_1}{R} + \frac{Q_2}{R})\)

⇒ 9.0 × 10⁹Nm²/C₂ (\(\frac{4.20*10^-12 C}{0.082m} +\frac{-25.2*10^-12C}{0.082m}\))

⇒ -2.30V

The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.

(b) From the above figure the r between each charged particle and the point P is given as:

\(r = \sqrt{R^{2}+D^{2} }\)                    

In the figure above, r between each charged particle and point P is defined as: ="1662703245948 "

\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{\sqrt{R^{2} + D^{2} } }\)                  ------------------ (5)

Again, the electric potential at point P due to charge Q2 is given using equation (i) as follows:
\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{\sqrt{R^{2} + D^{2} } }\)                   -------------------- (6)

A The potential at point P due to charge Q2 is determined using equation (i): The potential of charge Q1 and the potential of charge Q2. This is given using equations (c) and (d) in equation (ii) as:

\(V_P = 9.0 * 10^9Nm^2/C^2 (\frac{4.20*10^-12C-6(4.20*10^-12C)}{\sqrt{(0.082m)^{2} + (0.082m)^{2} } })\)

= -1.78V

The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.

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Answer:

30 in total that she bought

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

got it right on edg 2021

Answer:

$29

Step-by-step explanation:

Since the gifts are matching, the cost of each gift be equal, say $x
Now, Total cash - cash leftover = cost of both gifts
which is, 75 - 17 = 2x
or $58 = 2x
Thus, x would be 58/2 = $29
Or each gift would cost $29

Answer:

  y = 3/2x by making use of angle relationships in triangles

Step-by-step explanation:

Here's one way to solve it.

  ∠ADE is an external angle to ΔBDE. As such, its measure will be the sum of the measures of the remote interior angles, ∠DBE and ∠DEB:

  ∠ADE = 2x° +y°

__

If we call the intersection point of AC and DE point G, then ∠AGE is an exterior angle to ΔADG. As such, its measure is the sum of the remote interior angles:

  ∠AGE = ∠GAD +∠GDA

  3y° = x° +(2x° +y°)

  2y = 3x . . . . . . . . . . subtract y°, collect terms, divide by °

  y = (3/2)x . . . . . . . . divide by 2

Complement of set A is the set of all elements in the universal set that are not in the set .

If there is a subset of the universal set (U) called A, then the complement of set A, denoted by the symbol A', is different from the elements of set A and contains the elements of the universal set but not the elements of set A.

In this case, A' = x U: x A.

In other words, the complement of a set A is the difference between the universal set and set A.

For example: U = {1, 2, 3, 5, 7, 9, 15 ,14, 13}, A = {1, 2, 3, 5,7,9}, find the complement of A.

A' = U - A = {1, 2, 3, 5, 7, 9, 15,14,13} - {1, 2, 3, 5,7,9} = {15,14, 13}

A set that contains items from all related sets, without any repetition of elements, is known as a universal set (often symbolised by the letter U). If A and B are two sets, for example, A = 1, 2, 3 and B = 1, a, b, c, then U = 1, 2, 3, a, b, c is the universal set that these two sets belong to.

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The cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.

Based on the information given, we can represent the pure-breeding colors and shapes as follows:

Red color (RR) is dominant over white color (rr)

Long shape (LL) is dominant over round shape (ll)

We can also represent the hybrids as:

Purple color (Rr) is a result of a cross between red and white pure-breeding colors

Oval shape (Ll) is a result of a cross between long and round pure-breeding shapes

Given that we are crossing a red oval (RrLl) with a purple oval (RrLl), we can set up a Punnett square to determine the possible genotypes and phenotypes of their offspring:

RL Rl rL rl

RL RRLl RRll rRLL rRlL

Rl RRLl RRll rRLL rRlL

rL RrLL RrLl rrLL rrLl

rl RrLl Rrll rrLl rrll

From the Punnett square, we can see that there are nine possible phenotypes, which can be grouped by color and shape:

Red long (RRLL, RRLl, RrLL, RrLl): 4/9 or about 44.4% chance

Red oval (RRll, Rrll): 2/9 or about 22.2% chance

Purple long (rRLL, rRlL): 2/9 or about 22.2% chance

Purple oval (rrLL, rrLl, rrll): 1/9 or about 11.1% chance

Therefore, the cross of a red oval with a purple oval will produce approximately 44.4% red long, 22.2% red oval, 22.2% purple long, and 11.1% purple oval offspring.

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Answer:

21

Step-by-step explanation:

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

well how many sides are there in one? then multiply it by the number of the one side to how many sides

Step-by-step explanation:

Answer:

30 inches

Step-by-step explanation:

Equilateral means all the sides are the same

Answer:

x + 37 ≥ 65

Step-by-step explanation:

Given:

Money Micah wants = $65

Money Micah had = $37

Find:

Money Micah need

Computation:

Money Micah need(x)

x + 37 ≥ 65

So,

Money Micah need = 65 - 37

Money Micah need = $28

Answer:

7, 3, 0, -3, -5, -8, -14

Step-by-step explanation:

I know 7 is the greatest value you add the most because to get to 7 from 0.

I know -14 is the least value because I subtracted the most to get to -14 from 0.

Answer: Correct answers are B, D,E

Step-by-step explanation:

Answer:

The answer is 58 In2

you can take apart some of the parts and multiply them, it may be easier

Answer:

I believe it is acutally 53inches

Answer:

54

Step-by-step explanation:

6x=9x-27

x=9

9*9-27=54

Answer:

3.287 Customers

Step-by-step explanation:

Interarrival time (a) = 60 seconds per minute / 190 customers per minute = 0.316 seconds.

Utilization = p / (a × m) = 2 / (0.316 × 8) = 0.792.

Number in queue = Tq / a = 1.038 / 0.316 = 3.287 customers.

As per question, let us assume \(t(j)\) denotes the time that it took Tejay van garteren to ride the \(jth\) stage of the tour de France in \(2014\).

Now, let us assume \(t(1)\) is the complete time for the first stage;  \(t(2)\) is the complete time for the second stage;  \(t(3)\) is the complete time for the third stage and so on.

Therefore, the total time of \(21\) stages can be written as:

                     ∑\(t(j)\)= \(t(1)+t(2)+t(3)+..................+t(21)\)  \(; j=[1,2,3....21]\)

The above expression represents the total time for Tejay van garteren took to finish the ride.

Therefore,  ∑\(t(j)\) \(; j=[1,2,3....21]\) is the total time for Tejay van garteren took to finish the ride.

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The inflection points of f function is none.

To find the inflection points of a function, we need to take the second derivative of the function and find the values of x where the second derivative changes sign.

Let's apply this concept to the function f(x) = x/4x²+6. To find the second derivative of f(x), we first need to find the first derivative.

f(x) = x/4x²+6

f'(x) = (4x²+6)1 - x(8x) / (4x²+6)²

Simplifying f'(x), we get:

f'(x) = (6 - 8x²) / (4x²+6)²

Now, we take the derivative of f'(x) to find the second derivative:

f''(x) = [(6 - 8x²)'(4x²+6)² - (6 - 8x²)(4x²+6)²'] / (4x²+6)⁴

Simplifying f''(x), we get:

f''(x) = (-48x) / (4x²+6)³

To find the inflection points of f(x), we need to find the values of x where f''(x) changes sign. Since f''(x) is always negative, there are no inflection points for this function.

Therefore, the answer is 'NONE'.

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Answer:

x ≈ 38.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = \(\frac{opposite}{hypotenuse}\) = \(\frac{5}{8}\) , then

x = \(sin^{-1}\) (\(\frac{5}{8}\) ) ≈ 38.7° ( to 1 dec. place )

Answer:

no

Step-by-step explanation:

Answer:

l m a o  I dont think so XD they were trying to write “right” lol

Step-by-step explanation:

the answer is √39 btw

2.45 N

weight = mass x 9.8 m/s^2

Answer:

Here,

Mass ( m ) = 250g = (250/1000) kg =0.25 kg

g =9.8 m/s^2

Weight ( W ) = ?

We know that,

Weight ( W ) = m*g [Where g is acceleration due to gravity]

                   = (0.25*9.8) N

                    = 2.45 N

Hope it helps!

Step-by-step explanation:

1 pound = 0.45 kilograms

1 square inch = 6.25 square centimeters

First, let's convert the pressure from pounds per square inch to kilograms per square inch:

198 pounds/square inch × 0.45 kilograms/pound = 89.1 kilograms/square inch

Next, let's convert from kilograms per square inch to kilograms per square centimeter:

1 square inch = 6.25 square centimeters

89.1 kilograms/square inch ÷ 6.25 square centimeters/square inch = 14.256 kilograms/square centimeter

Therefore, the pressure of 198 pounds per square inch is equivalent to 14.256 kilograms per square centimeter.

The integral of the two terms as shown below:\(∫(1 - x²)^(1/2)dx = 1/2(θ + 1/2sin(2θ)\) + C)where C is the constant of integration.

To integrate (1-x²)^(1/2) using substitution method, we use the following steps:

Step 1: We let x

= sin(θ)dx = cos(θ)dθ1-x²

= cos²(θ)

Step 2: We substitute the expression derived from Step 1 into the original function to obtain∫(1 - x²)^(1/2)dx=∫cos²(θ)dθ

Step 3: We then apply the double angle formula to obtain:cos²(θ) = (1 + cos(2θ))/2Step 4: We substitute this expression back into the integral to obtain:

∫(1 - x²)^(1/2)dx = ∫(1 + cos(2θ))/2dθ∫(1 - x²)^(1/2)dx

= 1/2 ∫(1 + cos(2θ))dθ

Step 5: Evaluate the integral of the two terms as shown below:∫(1 - x²)^(1/2)dx = 1/2(θ + 1/2sin(2θ) + C)where C is the constant of integration.

Finally, we substitute x = sin(θ) back into the expression above to obtain the final solution.

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Answer: Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 12 hours

Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

Time taken by Candice to paint the fence alone = x-12

As per given , we have

\(\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24\)

if x= 4

Time taken by Ximena = 4 hours

Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)

Therefore, x= 24

Such that

Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 24-12=12 hours

The polynomial f(x) that has zeroes 1/5 with the multiplicity of 2 and -1/4 with the multiplicity of 1 is f(x) = -200x³ + 12x + 450x² - 2

Here we have been given that the zeroes of the polynomial should be 1/5 and -1/4.

Also, the multiplicity of 1/5 should be 2 and that of -1/4 should be 1.

Multiplicity is the power the factored form of the zero of the polynomial should have.

Therefore, the polynomial will be

(x - 1/5)² (x - (-1/4))

= (x - 1/5)² (x + 1/4)

= (x² + 1/25 - 2x/5)(x + 1/4)

= x³ + x/25 - 2x² + x²/4 + 1/100 - x/10

= x³ - 3x/50 - 9x²/4 + 1/100

Now it is given that f(0) = -2

this means that the constant term of the polynomial must be -2.

But here we see it is 1/100

Hence we will multiply the result by -200 to get

f(x) = -200x³ + 12x + 450x² - 2

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Answer:

q = 36/7  or 5 1/7

Step-by-step explanation:

q · 7/9 = 4

Multiply each side by 9/7

q · 7/9 *9/7 = 4*9/7

q = 36/7

If we want it as a mixed number instead of an improper fraction

7 goes into 36 5 times with 1 left over

q = 5 1/7

Answer:

C.-1.6

Step-by-step explanation:

distance: -1 - (-2) = 1

1 ÷ 5 = 1/5

-1 - 1/5 × 3 = -1 3/5 = -1.6

Answer:

73

Step-by-step explanation:

96+225 = 321

321-248 = 73