Find an irreducible polynomial of degree 6 over GF(2). It is given that the irreducible polynomials of degrees 2 and 3 are X2 + X + 1, X3 + X + 1 and X3 + X2 + 1.

Answer:

I count 10 triangles.....

Answer:

3

Step-by-step explanation:

t think it's the because everything else is 4 sided

Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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Answer:

2) -3x+10

4) -4x+10+x

Step-by-step explanation:

Use the distributive property to get rid of the parentheses.

(2 × -2x) + (2 × 5) + x

-4x + 10 +x is correct, but the x's can be combined.

(-4x + x) + 10 = -3x + 10

When a:3=12:a, then the positive of a will be 6.

Given, the  following quadratic equation

a : 3 = 12 : a

That is,

a/3 = 12/a

By cross- multiplication of the values, we will get

a * a = 12 *3

a ^ 2 = 36

From the above equation, we calculate the square root for the value a.

Therefore, we get the square root of,

a ^ 2 = 36

a = 6 ( as the square root of 36 is 6)

So, we can say that when a : 3 = 12: a the positive of a will be 6

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The lift force pushing up on the plane is approximately 2,625,992 N.

To determine the lift force pushing up on the plane, we'll use the given terms:

plane's speed (725 m/s),

altitude (4000 m),

air density (0.819 kg/m³),

air velocity above the wing (805 m/s),

air velocity below the wing (711 m/s),

and wing area (45.0 m²).

Calculate the pressure difference above and below the wing using Bernoulli's equation.

ΔP = (0.5 × air density × (velocity below wing² - velocity above wing²))
ΔP = (0.5 × 0.819 kg/m³ × (711 m/s² - 805 m/s²))

Calculate the lift force.
Lift Force = ΔP × Wing Area
Lift Force = (-58355.388) × 45.0

Lift Force = -2625992.46 N

Performing the calculations, we find that the lift force pushing up on the plane is approximately 2,625,992 N.

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Answer:

Numărul de puncte:

Irina a obținut = x = 245 puncte

Teodor a obținut = y = 314 puncte

Andrei a obținut = z = 286 puncte

Step-by-step explanation:

Să ne reprezentăm

Numărul de puncte:

Irina a primit = x

Teodor got = y

Andrei got = Z

Irina, Teodor și Andrei au participat la un concurs.

Irina și Teodor au obținut 559 de puncte împreună

x + y = 559 ....... Ecuația 1

Teodor și Andrei au obținut 600 de puncte împreună

y + z = 600 ...... Ecuația 2

y = 600 - z

Irina și Andrei 531 puncte.

x + z = 531 ....... Ecuația 3

Substitui

600- z pentru y în ecuația 1

x + 600 - z = 559

Colectează ca termeni

x - z = 559 - 600

x - z = -41 ..... Ecuația 4

Combinând ecuația 3 și 4 împreună

x + z = 531 ....... Ecuația 3

x - z = -41 ..... Ecuația 4

Am face și ecuația 3 și 4 împreună pentru a elimina z

2x = 490

x = 490/2

x = 245 puncte

Rezolvarea pentru z folosind ecuația 4

x - z = -41 ..... Ecuația 4

245 - z = -41

Colectează ca termeni

z = 245 + 41

z = 286 puncte

Rezolvarea pentru y

y = 600 - z

y = 600 - 286

y = 314 puncte

Prin urmare,

Numărul de puncte:

Irina a obținut = x = 245 puncte

Teodor a obținut = y = 314 puncte

Andrei a obținut = z = 286 puncte

\(4r {}^{3} s - rs + 7r {}^{3} s + 8rs - 3 + 8rs + 6 \\ add \: \: terms \: \: of \: \: same \: \: variables \\ 11r {}^{3} s + 15rs + 3\)

The formula for the radius r in terms of x . and for the maximum areas is x=2/\(\pi\)+4

Given that,

y forms a circle of radius r

y=2\(\pi\)r

r=y/2\(\pi\)

(2-y)- forms Square Side x

(2-y) = 4x

x=(2-y)/4

Now Sum of Area's=Area of Square +Area of Circle

Sum = \(\pi\)r² + x²

Substitute the r and x values in above equation,

A(y)= y²/4\(\pi\)+(y-2)²/ 16

To maximize Area A(y)

A'(y)= 0

2y/4\(\pi\) + 2(y-2)/16 =0

y/2\(\pi\) + (y-2)/8 =0

y = 2\(\pi\)/\(\pi\)+4

Y max will be max, x to be maximum.

for maximum sum of areas,

x=2/\(\pi\)+4

Hence,The formula for the radius r in terms of x . and for the maximum areas is x=2/\(\pi\)+4

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Answer:

The side length is 9 m

Step-by-step explanation:

The area of a square is given by

A = s^2

81 = s^2

Take the square root of each side

sqrt(81) = sqrt(s^2)

9 =s

The side length is 9 m

If the decision variables for a problem have to be integers, rounding the linear programming optimal solution for that problem will always result in a feasible solution.

However, this solution may not always be optimal. It may result in either a feasible or infeasible solution depending on the problem constraints.

Rounding may also result in an optimal solution if the optimal solution happens to already have integer values for the decision variables. Therefore, rounding may result in a feasible and optimal solution or just a feasible solution but not necessarily always optimal.

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Answer:

62.9643082106 degrees

Step-by-step explanation:

First, notice that triangle ABC is a right triangle. This allows us to use SIN, COS, and TAN to find the measure of angle A. Recall SOH CAH TOA, so SIN = OPPOSITE / HYPOTENUSE, COS = ADJACENT / HYPOTENUSE, and TAN = OPPOSITE / ADJACENT.

Looking at angle A, sides c and b correspond to hypotenuse and adjacent respectively. Therefore, we can use COS to set up an equation.

cos(A) = b/c

cos(A) = 5/11

A = arccos(5/11)

A = 62.9643082106 deg

Answer:

x=15, y=7

Step-by-step explanation:

Angles that form a linear pair are supplementary, so:

\(2(5x-5)+3x-5=180 \\ \\ 10x-10+3x-5=180 \\ \\ 13x-15=180 \\ \\ 13x=195 \\ \\ x=15 \\ \\ \\ \\ 5y+5+20y=180 \\ \\ 25y+5=180 \\ \\ 25y=175 \\ \\ y=7\)

Answer:

\(x=\boxed{15}\\\\y=\boxed{7}\)

Step-by-step explanation:

Angles on a Straight Line Theorem

The sum of angles on a straight line is equal to 180°.

Solving for x:

\(\boxed{\begin{aligned}2(5x-5)^{\circ}+(3x-5)^{\circ}&=180^{\circ}\\2(5x-5)+(3x-5)&=180\\10x-10+3x-5&=180\\13x-15&=180\\13x-15+15&=180+15\\13x&=195\\13x \div 13 &=195\div 13 \\x&=15\end{aligned}}\)

Solving for y:

\(\boxed{\begin{aligned}(5y+5)^{\circ}+20y^{\circ}&=180^{\circ}\\(5y+5)+20y&=180\\5y+5+20y&=180\\25y+5&=180\\25y+5-5&=180-5\\25y&=175\\25y \div 25 &=175\div 25 \\y&=7\end{aligned}}\)

Therefore:

\(x=\boxed{15}\\\\y=\boxed{7}\)

Answer:

100/360 * 2\(\pi\)5

1000\(\pi\)/360 = 25\(\pi\)/9 = 8.722

Step-by-step explanation:

Answer:

a = 60

b = 60

c = 120

Step-by-step explanation:

For a;

a + 120 = 180

This is because angles on a straight line are supplementary

a = 180-120

a = 60

a = b = 60

This is because they are corresponding angles and corresponding angles are equal

c = 120

This is because they are alternate exterior angles and alternate exterior angles are equal

Answer:

x+y=9....(i)

2x-6=y....(ii)

then putting the value of y in (i) eqn

x+2x-6=9

3x=15

x=5

Now, putting the value of x in (ii) eqn

then 2*5- 6 =4

Step-by-step explanation:

SO the value of x is 5 and y is 4

HOPE IT HELPS YOU....❤

Answer as an improper fraction:    248/3

Answer as a mixed number:    82  2/3

==========================================================

Work Shown:

b1 and b2 are the parallel bases

b1 = 10

b2 = 6

h = height

h = 10 & 1/3 = 10 + 1/3 = 30/3 + 1/3 = 31/3

\(A = \text{area of the trapezoid}\\\\A = h*\frac{b_1+b_2}{2}\\\\A = \frac{31}{3}*\frac{10+6}{2}\\\\A = \frac{31}{3}*\frac{16}{2}\\\\A = \frac{31*16}{3*2}\\\\A = \frac{31*8}{3}\\\\A = \frac{248}{3}\\\\\)

The area as an improper fraction is 248/3 square miles.

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

If you wanted, follow these steps to convert the improper fraction to a mixed number

248/3 = 82.667 approximately

The whole part is 82 as it's to the left of the decimal point.

The fractional part 0.667 multiplies with the denominator 3 to get 3*0.667 = 2.001 which rounds to 2.

Therefore,

248/3 = 82 & 2/3 or 82  2/3

We have 82 full square miles, plus an additional 2/3 of a square mile, to constitute the area of the trapezoid.

The relative price is a useful measure for comparing the prices of different products or services, especially in the context of consumer preferences and demand.

Relative price refers to the price of a particular product or service in relation to other goods or services in the market.

It is calculated as the ratio of the price of a given product or service to the price of a reference product or service, commonly referred to as a base good or service.

Let the price of a pair of shoes be $5 and the price of a box of tea be $3.

Then the relative price of a pair of shoes is given by:

Relative price of shoes = Price of shoes / Price of tea

= $5 / $3

= 1.67

Thus, the relative price of a pair of shoes is 1.67.

Similarly,

The relative price of a box of tea can be calculated as follows:

Relative price of tea = Price of tea / Price of shoes

= $3 / $5

= 0.6

Therefore, the relative price of a box of tea is 0.6.

This means that the price of tea is relatively cheaper than that of shoes, as its relative price is less than one.

The relative price of shoes is greater than one, which indicates that shoes are relatively more expensive than tea.

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Answer:

Step-by-step explanation:

The volume of a rectangular prism can be calculated by multiplying the area of its base by its height.

Mathematically, we have

The volume of prism = base area X  height

At this point, it is important to note that a rectangular prism is a solid shape that has its base as a rectangle; so the area of its base, is the same thing as the area of a rectangle.

Where base area = length X breadth

hence, volume = length X breadth X height

volume = 3/2 X 5/2 X 4 = 15 cubic inches

Option-B is correct that is the value of expression 4cos(6m)°sin(6m)° is 2sin(12m)° by using the trigonometric formula.

Given that,

We have to find the value of expression 4cos(6m)°sin(6m)° by using an trigonometric formula to write the expression as a trigonometric function of one number.

We know that,

Take the trigonometric expression,

4cos(6m)°sin(6m)°

By using the trigonometric formula we get the value of expression.

Sin2θ = 2cosθsinθ

From the expression we can say that it is similar to the formula as,

θ = 6m

Then,

= 2(2cos(6m)°sin(6m)°)

= 2(sin2(6m)°)

= 2sin(12m)°

Therefore, Option-B is correct that is the value of expression is 2sin(12m)°.

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The given algebraic expressions 5xy and -8xy are like terms because of the similarity in their variable and it's power.

As per the question statement, we are given algebraic expressions 5xy and -8xy and we are supposed to tell whether these two terms are like or not.

We know that in Algebra, the phrases or terms that include the same variable and are raised to the same power are referred to as "like terms."

Hence as the variable part in the expressions, 5xy and -8xy, are same hence they can be added and subtracted hence are called like terms.

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Answer:

9

Step-by-step explanation:

if t =9 and also t=w then w=9

Answer:

here is my working out to find answer, if u feel that the answer is wrong then do the reverse calculation by putting n value to the equation. hope u understood and stay safe!

An example of two nonlinear functions that don't dominate each other is the sin function (f(x) = sin(x)) and the exponential function (g(x) = e^x).

For any given value of x, the sin function oscillates between -1 and 1, taking on both positive and negative values. It has a periodic nature and does not grow or decay exponentially as x increases or decreases.

On the other hand, the exponential function grows or decays exponentially as x increases or decreases. It is characterized by a constant positive growth rate. The exponential function increases rapidly when x is positive and approaches zero as x approaches negative infinity.

The key characteristic here is that the sine function oscillates while the exponential function grows or decays exponentially.

Due to their fundamentally different natures, neither function dominates the other over their entire domains.

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If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, Then the machine will take approximately 18 minutes to fill 240 bottles.

Constant rate is a rate of change is constant when the ratio of the output to the input stays the same at any given point on the function.

Given that machine take 3 minutes to fill 40 bottles

So for 1 minute the machine fill \(\frac{40}{3}\) = 13.3333 bottles.

That is in 1 minute the machine fill approximately 14 bottles.

So the machine take a time to fill 240 bottles is \(\frac{240}{14} = 18.461\).

Thus the machine take approximately 18 minutes to fill 240 bottles.

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Your answer will be -1 2/10, or -1 1/5 if you're looking for a simplified answer. My method is called KCF, or Keep Change Flip. First, you don't have to do anything with the -4/5. Next, you would want to change the division to multiplication. It is possible to just divide across, but changing it to multiplication is way easier and will save time. After that, you would switch -2/3 to -3/2. FLIPPING THE SECOND FRACTION DOES NOT MEAN THE NEGATIVE TURNS INTO A POSITIVE. Your answer would be 12/10, but we aren't done just yet. 10 goes into 12 once, now we have 1 2/10 left over. If you simplify you will get 1 1/5. So there you have it! I answered you question as best as I could and I hope this was helpful.

Answer:

above sea level

Step-by-step explanation:

 The global maximum value of f(x, y) = x^3 - 3y over 0 <= x, y <= 1 is 1 at (1, 0), and the global minimum value is -3 at (0, 1). Therefore, the global maximum value of f(x, y) = 4x^3 + (4x^2)y + 3y^2 over x, y >= 0 and x + y <= 1 is 9/8 at (1/2, 1/2), and the global minimum value is 0 at (0, 0).

(a) To determine the global extreme values of the function f(x, y) = x^3 - 3y over the region 0 <= x, y <= 1, we need to evaluate the function at the boundary points and critical points within the region.

Evaluate f(x, y) at the boundary points:

f(0, 0) = 0^3 - 3(0) = 0

f(1, 0) = 1^3 - 3(0) = 1

f(0, 1) = 0^3 - 3(1) = -3

f(1, 1) = 1^3 - 3(1) = -2

Find the critical points by taking partial derivatives:

∂f/∂x = 3x^2 = 0 (implies x = 0 or x = 1)

∂f/∂y = -3 = 0 (no solutions)

Evaluate f(x, y) at the critical points:

f(0, 0) = 0

f(1, 0) = 1

Therefore, the global maximum value is 1 at (1, 0), and the global minimum value is -3 at (0, 1).

(b) To determine the global extreme values of the function f(x, y) = 4x^3 + (4x^2)y + 3y^2 over the region x, y >= 0 and x + y <= 1, we need to evaluate the function at the boundary points and critical points within the region.

Evaluate f(x, y) at the boundary points:

f(0, 0) = 0

f(1, 0) = 4(1)^3 + (4(1)^2)(0) + 3(0)^2 = 4

f(0, 1) = 4(0)^3 + (4(0)^2)(1) + 3(1)^2 = 3

f(1/2, 1/2) = 4(1/2)^3 + (4(1/2)^2)(1/2) + 3(1/2)^2 = 9/8

Find the critical points by taking partial derivatives:

∂f/∂x = 12x^2 + 8xy = 0 (implies x = 0 or y = -3x/2)

∂f/∂y = 4x^2 + 6y = 0 (implies y = -2x^2/3)

Evaluate f(x, y) at the critical points:

f(0, 0) = 0

Therefore, the global maximum value is 9/8 at (1/2, 1/2), and the global minimum value is 0 at (0, 0).

In both cases, the global extreme values are determined by evaluating the function at the boundary points and critical points within the given regions.

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Answer:

\((x+2)^2+(y+1)^2=1\)

Step-by-step explanation:

Equation of a circle:

Plug in known information:

\((x-h)^2+(y-k)^2=r^2\)

\((x-(-2))^2+(y-(-1))^2=(1)^2\)

\((x+2)^2+(y+1)^2=1\)

The given series converges to a sum of 18. The given series is a geometric series with a common ratio of 1/2. To determine its convergence or divergence.

We can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where "a" is the first term and "r" is the common ratio. In this case, a = 9 and r = 1/2.

Plugging in the values, we have:

S = 9 / (1 - 1/2)

= 9 / (1/2)

= 18

Therefore, the given series converges to a sum of 18.

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On solving the provided question, we can say that in the triangle, Cos A = 4/9 => Cos A =  0.4444444444 = 0.44

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here, in the triangle

Cos A = 4/9

Cos A =  0.4444444444 = 0.44

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