(a) Shade the region in the complex plane is defined by :
{x€C :|z+2+2i|≤2}
(b) Shade the region in the complex plane is defined by :
{z€C : |z+2+2i/z-2-4i|≤1}

Answer:

25%

Step-by-step explanation:

7/28=.25

A quicker way to fingure it out is that 7*4=28, so 1/4 of the fruit is oranges. Which is 25%

Hope this helps!!!!

Answer:

14/8 = 1 3/4

48/9 = 5 1/3

Step-by-step explanation:

14/8 = 1 6/8

6/8 = 3/4

14/8 = 1 3/4

48/9 = 5 3/9

3/9 = 1/3

48/9 = 5 1/3

Using it's concept, there is a 0.726 = 72.6% probability that all 4 cards have distinct characters (letters or numbers).

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A standard deck is given by 4 suits of 13 cards, each with either a number from 1 to 10 or one letter from A, Q or K, hence:

Hence the probability is given by:

p = 48/51 x 45/50 x 42/49 = 0.726.

0.726 = 72.6% probability that all 4 cards have distinct characters (letters or numbers).

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Answer:

1-3-5

Step-by-step explanation:

Answer:

2,830

Step-by-step explanation:

They function by balancing their budgets through a combination of these revenue streams, along with careful budgeting and expenditure management.

Comparing a state without an income tax to one with an income tax, the key differences lie in the tax burden placed on residents and businesses. In the absence of an income tax, individuals in the state without income tax enjoy the benefit of not having a portion of their businesses may find it more attractive to operate in such states due to lower tax obligations. However, these states often compensate for the lack of income tax by imposing higher sales or property taxes.

States without a state income tax, such as Texas, Florida, and Nevada, function by generating revenue from various alternative sources. Sales tax is a major contributor, with higher rates or broader coverage compared to states with an income tax.

Property taxes also play a significant role, as these states tend to rely on this form of taxation to fund local services and public education. Additionally, fees on specific services, licenses, or permits can contribute to the state's revenue stream.

Comparing such a state to one with an income tax, the key differences lie in the tax structure and the burden placed on residents and businesses. In states without an income tax, individuals benefit from not having a portion of their earnings withheld, resulting in potentially higher take-home pay. This can be appealing for professionals and high-income earners. For businesses, the absence of an income tax can make the state a more attractive location for investment and expansion.

However, the lack of an income tax in these states often means higher reliance on sales or property taxes, which can impact residents differently. Sales tax tends to be regressive, affecting lower-income individuals more significantly. Property taxes may be higher to compensate for the revenue lost from the absence of an income tax.

Additionally, the absence of an income tax can result in a greater dependence on other revenue sources, making the state's budget more susceptible to fluctuations in the economy.

Overall, states without a state income tax employ alternative revenue sources and careful budgeting to function. While they offer certain advantages, such as higher take-home pay and potential business incentives, they also impose higher sales or property taxes, potentially impacting residents differently and requiring careful management of their budgetary needs.

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Answer:

It is not a function

Step-by-step explanation:

A function refers to a set of points/lines with this characteristic:

Each Y value has only one corresponding X value.

Meaning one X value cannot have multiple Y Values.

In this case, the X value of 2 has 2 different Y values, making it not a function.

Answer:

3

Step-by-step explanation:

Express the numbers as a product of their primes.

42 = 2 × 3 + 7

30 = 2 × 3 × 5

45 = 3 × 3 × 5

Identify the prime factors common to all 3 numbers.

common prime factor = 3 , thus

GCF = 3

Answer: 3

Step-by-step explanation: The factors of 30 are 1. 2. 3. 5. 6. 10, 15, 30

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 45 are 1, 3, 5, 9, 15, 45

As you can see they all share the factors of 1 and 3. Since 3 is the greatest number of the factors all of them share it is the greatest common factor.

Answer:

y - 1 = -3/2(x - 0)

Step-by-step explanation:

trust me

The equation of the line in point-slope form is y - 1 = -3/2(x - 0).

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line that passes through the (0,1) and has a slope of -3/2. The equation of the line will be written as,

y - y₁ = m(x-x₁)

y - 1 = (-3 / 2) ( x - 0 )

Therefore, the equation of the line in point-slope form is y - 1 = -3/2(x - 0).

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Answer:

797.50

Step-by-step explanation:

6* $120.50 = $723

$723 + $74.50 = $797.50

Answer:

hi

Step-by-step explanation:

i think

\(3x + 1 = 3 \\ 3x = 3 - 1 \\ 3x = 2 \\ x = \frac{2}{3} \\ x = 0.6\)

hope it helps

have a nice day

Answer:

​  ≈93

Step-by-step explanation:

S.A.S.→Law of Cosines

a^2=b^2+c^2-2bc\cos A

m^2 = 81^2+41^2-2(81)(41)\cos 93

Plug in values.

m^2 = 6561+1681-2(81)(41)(-0.052336)

Square and find cosine.

m^2 = 6561+1681+347.61542

Multiply.

m^2 = 8589.61542

Add.

√8589.61542≈92.68≈93

Answer:

35 + 37

Step-by-step explanation:

if you try any other number like: 37 + 39 = 76 that doesn't work well because its higher that 75.

Answer:

1/9=0.111111111 2/9=0.222222222 3/9=0.333333333 4/9=0.444444444

5/9=0.555555556 6/9=0.666666667 7/9=0.777777778 8/9=0.888888889

Step-by-step explanation:

sorry i dont have time to do them all but heres all of the nines

Answer

27^0.5+0.25 or 3^0.5+0.25

3^2t + 1/4 expression is equivalent to 81^0.5t+0.25​.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression  81^0.5t+0.25​

Simplifying the given expression:

=> 81^0.5t+0.25​

Simplify using the exponent power rule: (a^m)^n = (a)^mn

Convert decimal to fraction:

=> (3⁴ )^0.5t + 25/100

Cross out the common factor:

=> 3^2t + 1/4

therefore, 3^2t + 1/4 expression is equivalent to 81^0.5t+0.25​.

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Answer:

27^4

2.74*10^2

4.27*10^2

Step-by-step explanation:

in exponential notation the number is expressed like this.

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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The division of 4x³ + 14x² + 13x + 11 by x + 2 will have a quotient of 4x² + 14x + 1 and a remainder of 8 using synthetic division and can be expressed as (4x² + 14x + 1) + 9/(x + 2).

The procedure for synthetic division involves the following steps:

Divide.

Multiply.

Subtract.

Bring down the next term, and

Repeat the process to get zero or arrive at a remainder.

We shall divide 4x³ + 14x² + 13x + 11 by x + 2 as follows;

4x³ divided by x equals 4x²

x + 2 multiplied by 4x² equals 4x³ + 8x²

subtract 4x³ + 8x² from 4x³ + 14x² + 13x + 11 will give us 6x² + 13x + 11

6x² divided by x equals 6x

x + 2 multiplied by 6x equals 6x² + 12x

subtract 6x² + 12x from 6x² + 13x + 11 will give us x + 11

x divided by x equals 1

x + 2 multiplied by 1 equals x + 2

subtract x + 2 from x + 11 will give result to a remainder of 9.

Therefore by synthetic division, 4x³ + 14x² + 13x + 11 by x + 2 will result to a quotient of 4x² + 14x + 1 and a remainder of 9.

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To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible.

To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible. So, we need to minimize the sum of and . Now, let's use calculus to find the minimum value of the sum.To find the minimum value, we have to find the derivative of the sum of and , i.e. f(x) with respect to x, which is given by f '(x) as shown below:

f '(x) = 1/x^2 - 1/(1-x)^2

We can see that this function is defined on the closed interval [0, 1]. The reason why we are using the closed interval is that x is a positive number, and both endpoints are included to ensure that we cover all positive numbers. Therefore, the problem requires optimization over a closed interval. This means that the minimum value exists and is achieved either at one of the endpoints of the interval or at a critical point in the interior of the interval.

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Answer:

103

Step-by-step explanation:

180-77=

103

I hope it helps

(B) Between 0 and 7, best describes the pH at the equivalence point of a titration of a weak base with a strong acid.

So, consider the following example of ammonia (a weak base) titrated with HCl (a strong acid):

Only the products remain at the equivalence point.

It dissociates according to the following equilibrium, resulting in a mildly acidic pH of less than 7:

\(\begin{aligned}&\mathrm{NH}_4^{+} \leftrightharpoons H^{+}+\mathrm{NH}_3 \\&K_a=5.6 \times 10^{-10}\end{aligned}\)

Therefore, (B) between 0 and 7, best describes the pH at the equivalence point of a titration of a weak base with a strong acid.

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The correct question is given below:
Which best describes the pH at the equivalence point of a titration of a weak base with a strong acid?

A. less than zero

B. between 0 and 7

C. close to 7.0

D. between 7 and 14

E. greater than 14

Answer:

Angle L= 53 degrees. Side ML = 4.521 and Side NL= 7.513

Step-by-step explanation:

The total cost of a taxi is given by the sum of a fixed amount of $1.00 per ride and an additional amount of $2.30 per mile driven. Then, the total cost f in function of the total number of miles driven x is given by:

Notice that, since there is no sense in considering "negative miles driven" the domain of this function is given by:

This is equivalent to state "x is a real number greater than or equal to 0"

Answer:

16 /:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The expression (1 - (cos 0 sin 0)(cos 0 - sin 0))/(sin 0 cos 0) simplifies to 1

Let's simplify the expression step by step:

Numerator:

1 - (cos 0 sin 0)(cos 0 - sin 0)

Using the distributive property:

1 - cos^2(0) + cos(0)sin(0) - sin^2(0)

Simplifying further:

1 - cos^2(0) - sin^2(0) + cos(0)sin(0)

Using the trigonometric identity cos^2(θ) + sin^2(θ) = 1:

1 - 1 + cos(0)sin(0)

Simplifying:

cos(0)sin(0)

Denominator:

sin(0)cos(0)

Now, let's simplify the expression by dividing the numerator by the denominator:

(cos(0)sin(0))/(sin(0)cos(0))

The sine and cosine terms cancel each other out:

1

Therefore, the expression (1 - (cos 0 sin 0)(cos 0 - sin 0))/(sin 0 cos 0) simplifies to 1.

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a. To determine if there are any arbitrage opportunities in the market, we need to check if the payoff matrix A is linearly dependent on the price vector S.

If A and S are linearly dependent, then there are no arbitrage opportunities. If they are linearly independent, we can construct an arbitrage portfolio.

In this case, we observe that the rank of the matrix A is 2, which is less than the number of columns (3). Therefore, A and S are linearly dependent, indicating that there are no arbitrage opportunities in this market.

b. To find the no-arbitrage price of the security with payoff b, we need to determine the weights of the basis assets that replicate the payoff vector b. We can do this by solving the equation A * x = b, where A is the payoff matrix and x is the vector of weights.

The equation, we get the following system of equations:

x₁ + x₃ = 5

3x₁ + 2x₂ + x₃ = 4

Solving this system of equations, we find x₁ = 2, x₂ = -1, and x₃ = 3.

Therefore, the no-arbitrage price of the security with payoff b is given by the dot product of the weights and the price vector S:

No-arbitrage price = (2 * 1) + (-1 * 2) + (3 * 1.5) = 3 + (-2) + 4.5 = 5.5

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Answer:

b

Step-by-step explanation:

The roots of the quadratic equation x² + 3x - 6 = 0 are, x = [- 3 + √(33)]/2,

x = [- 3 - √(33)]/2.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We any to find any types of roots of a quadratic equation, real, complex or imaginary we use the formula,

[- b ± √(b² - 4ac)]/2a.

Therefore, The roots of the quadratic equation x² + 3x - 6 = 0 is,

x = [- 3 ± √(3² - 4×1×-6)]/2×1.

x = [- 3 ± √(9 + 24)]/2.

x = [- 3 ± √(33)]/2.

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