Write the complex number in rectangular form

Answer:

Y= 8X + 4

Step-by-step explanation:

Answer:

The photo is super blurry I can't see it

Step-by-step explanation:

Answer: A

Step-by-step explanation:

If you follow the arrows, -2 goes to 0,

-1 goes to 0,

0 goes to 6

2 goes to 1,

And 3 goes to 2.

Answer:

x=4

Step-by-step explanation:

1. Add like terms: 5x+7=27

2. Use the subtraction property on both sides to get rid of 7: 5x=20

3. Divide 5 on both sides to get x by itself: x=4

A boxplot is a visual display that provides information about the distribution of a dataset. When we want to determine the percentage of data that falls within a certain range, we need to look at the boxplot and find the interquartile range (IQR). The IQR is the difference between the first and third quartiles, which contains the middle 50% of the data. So, approximately 50% of the data lie between 4 and 8 hours.

A boxplot shows the median, quartiles, and possible outliers. To determine the percentage of data that falls between two values, we need to calculate the proportion of the IQR that corresponds to this range. For example, if the IQR is from 2 to 10, and we want to know the percentage of data between 4 and 8, we need to calculate the proportion of the IQR that corresponds to this range. This can be done by subtracting the lower value of the range from the upper value and dividing by the IQR:

Proportion = (8 - 4) / (10 - 2) = 4 / 8 = 0.5

Therefore, approximately 50% of the data lie between 4 and 8 hours. The answer is (C) about 50%.

For more such questions on IQR.

https://brainly.com/question/17083142#

#SPJ11

Answer:

if noblepenguin sees this, your a horrible mod. stop deleting my answers

Step-by-step explanation:

The possible pairs d and r​ if d and r are positive integers is (2, 4)

From the question, we have the following parameters that can be used in our computation:

Dean = d

Rad = r

Altogether, we have

Both = 6

This means thst

d + r = 6

d and r are positive integers

This means that

d, r > 0

Set d = 2

So, we have

2 + r = 6

Evaluate

r = 4

This means that the possible pairs d and r​ is (2, 4)

Read more about integers at

https://brainly.com/question/1853272

#SPJ4

The profit Louise will make in selling all the book copies is $4,989.02.

Given that, Louise sold 873 copies of a book she wrote for $10.99 each.

If she earns 52% profit from each book, we need to find out how much profit will she earn in all.

Money that is earned in trade or business after paying the costs of producing and selling goods and services.

If the cost of each book is $10.99, then the cost of 873 copies of a book is 873×10.99=9,594.27

So, the total cost of books=$9,594.27.

Now, the profit is 52%, then the total profit=52% of 9,594.27

=0.52×9,594.27=4,989.02

Therefore, the profit Louise will make in selling all the book copies is $4,989.02.

To learn more about the profit visit:

https://brainly.com/question/1494270.

#SPJ6

The price of the light as a function of x is given by the exponential function:

\(p(x) = \$375*(0.98)^x\)

We know that the original price of the light is $375.

This value decreases a 2% each year, so each year we need to multiply the above price by (1 - 2%/100%) = (1 - 0.02) = 0.98

Then, if x represents the number of years, the price of the light as a function of x is given by the exponential function:

\(p(x) = \$375*(0.98)^x\)

if you want to learn more about exponential functions:

https://brainly.com/question/11464095

#SPJ1

Answer:

soup is homogenous(old fashioned)

juice is heterogeneous(diverse)

Step-by-step explanation:

hope this helps

Using the normal distribution as an approximation for the binomial or Poisson distribution involves applying the characteristics of the normal distribution to approximate the behavior of these discrete distributions. This approximation is based on certain conditions and mathematical principles.

The normal distribution has finite tails, meaning that extreme values in the binomial or Poisson distribution may not be accurately captured by the normal approximation.

The normal distribution, also known as the Gaussian distribution, is a continuous probability distribution that is symmetric and bell-shaped. It is fully characterized by its mean (μ) and standard deviation (σ). On the other hand, the binomial distribution describes the probability of a certain number of successes in a fixed number of independent Bernoulli trials, while the Poisson distribution models the probability of a given number of events occurring in a fixed interval of time or space.

The decision to use the normal distribution as an approximation for the binomial or Poisson distribution relies on specific conditions. These conditions include having a large number of trials or observations and a moderate range of values. Additionally, the probability of success for each trial should be reasonably close to 0.5 for the binomial distribution or the mean should be sufficiently large for the Poisson distribution.

The approximation works due to the central limit theorem (CLT), which states that the sum or average of a large number of independent and identically distributed random variables will be approximately normally distributed, regardless of the shape of the original distribution. In the case of the binomial distribution, as the number of trials increases, the distribution becomes more symmetric and bell-shaped, resembling a normal distribution. Similarly, for the Poisson distribution, as the mean increases, the distribution also approaches a symmetric and bell-shaped form, making it suitable for approximation using the normal distribution.

The strengths of using the normal distribution as an approximation are its simplicity and ease of use. The normal distribution has well-defined properties and is widely understood and studied. It allows for the application of various statistical techniques, such as confidence intervals and hypothesis testing, that are based on the normal distribution. Additionally, the normal distribution has a straightforward parameterization with its mean and standard deviation, making it convenient for calculations and interpretations.

However, there are limitations and weaknesses to consider when using the normal distribution as an approximation. One limitation is that the approximation may not be accurate when the conditions for using the normal distribution are not met. For example, if the number of trials or observations is small, or if the probability of success for each trial is close to 0 or 1, the normal approximation may not provide accurate results.

Another weakness is that the approximation may introduce some error in the tails of the distribution. The normal distribution has finite tails, meaning that extreme values in the binomial or Poisson distribution may not be accurately captured by the normal approximation.

It is important to assess the appropriateness of using the normal distribution as an approximation based on the specific characteristics of the data and the objectives of the analysis. When the conditions are met, the normal approximation can be a useful tool for simplifying calculations and making inferences. However, when dealing with small sample sizes, extreme values, or distributions that deviate significantly from normality, alternative methods or distributions may be more appropriate.

Learn more about Poisson distribution here

https://brainly.com/question/30388228

#SPJ11

The real value of the tensile load is approximately 45.86 kN.

The real value of the tensile load can be determined by substituting the given values into the equation for tensile load: (x + 46) kN.

In this case, x represents the actual value of the tensile load.

To find the real value, we need to solve for x.

The given equation for tensile load is (x + 46) kN.

Since the given diameter is 35 mm and the length is 500 mm, we can use the equation for tensile strength to find the value of x.

The tensile strength equation is (x + 206) MPa.

And the equation for final length is (x + 426) mm.

By substituting the given values into the equations, we have:

(x + 206) MPa = (x + 46) kN = (x + 426) mm

To convert the units, we need to consider the conversion factors:

1 kN = 1000 N
1 MPa = 1 N/mm²

Now we can convert the units and solve for x:

(x + 206) MPa = (x + 46) kN

Converting MPa to N/mm²:

(x + 206) * 1 N/mm² = (x + 46) * 1000 N

Simplifying:

x + 206 = 1000x + 46000

Combining like terms:

999x = 45794

Solving for x:

x ≈ 45.86

Therefore, the real value of the tensile load is approximately 45.86 kN.

To know more about tensile load visit:

https://brainly.com/question/30647217

#SPJ11

Diameter: 35 mm, Length 500 mm , Tensile Load : (x + 46) kN, Tensile Strength : (x + 206) MPa, Final Length : (x + 426) mm. The real value of the tensile load is approximately 45.86 kN.

The real value of the tensile load can be determined by substituting the given values into the equation for tensile load: (x + 46) kN.

In this case, x represents the actual value of the tensile load.

To find the real value, we need to solve for x.

The given equation for tensile load is (x + 46) kN.

Since the given diameter is 35 mm and the length is 500 mm, we can use the equation for tensile strength to find the value of x.

The tensile strength equation is (x + 206) MPa.

And the equation for final length is (x + 426) mm.

By substituting the given values into the equations, we have:

(x + 206) MPa = (x + 46) kN = (x + 426) mm

To convert the units, we need to consider the conversion factors:

1 kN = 1000 N

1 MPa = 1 N/mm²

Now we can convert the units and solve for x:

(x + 206) MPa = (x + 46) kN

Converting MPa to N/mm²:

(x + 206) * 1 N/mm² = (x + 46) * 1000 N

Simplifying:

x + 206 = 1000x + 46000

Combining like terms:

999x = 45794

Solving for x:

x ≈ 45.86

Therefore, the real value of the tensile load is approximately 45.86 kN.

To know more about tensile load visit:

brainly.com/question/30647217

#SPJ11

She can afford to pay $1296 per month.

Given that Maggie makes $57,600 a year, to determine how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income, the following calculation must be performed:

Therefore, she can afford to pay $1296 per month.

Learn more about calculus in https://brainly.com/question/14478573

Answer:

i know the mode is 95

Step-by-step explanation:

Step-by-step explanation:

a triangle,=180

so 68+35-180=77

then 77+68=145

The chili was ready at 1:28 p.m.

Jeremiah started making chili for a football party at 10:59 a.m. It took 1 hour and 36 minutes to prepare and assemble the ingredients. After that, the chili had to simmer for 53 minutes.

To determine the time the chili was ready, we need to add the total time it took to prepare the chili to the time Jeremiah started making it.

We can break down the total time into hours and minutes by dividing it by 60 since there are 60 minutes in an hour.

10:59 a.m. + 1 hour 36 minutes = 12:35 p.m. (time to finish preparing the chili)

12:35 p.m. + 53 minutes = 1:28 p.m. (time the chili was ready)

Therefore, the chili was ready at 1:28 p.m.

Learn more about hours visit:

brainly.com/question/13349617

#SPJ11

Answer:3.79*10^14

Step-by-step explanation:

370000000000000+9000000000000=379000000000000

=3.79 x 10^14

Answer:

(3.79×10^14)

Step-by-step explanation:

sjskakakzks

Answer:

x = 5/26

Hope this helps! GL!

An average, which is frequently the sum of the numbers divided by the total number of the numbers in the group, and the required average of the 2 given groups is 512.

An average, which is frequently the sum of the numbers divided by the total number of the numbers in the group, is a single number that is selected to describe a group of numbers in simple English.

For example, the average of the numbers 2, 3, 4, 7, and 9 is 5.

The three main types of averages are mean, median, and mode.

Each of these techniques runs a little bit differently and frequently produces results that are slightly erroneous.

The mean is the average that is employed most commonly. To find the mean value, add up all the values and divide that amount by the overall number of values.

Since we know that we need to find the average of 2 groups.

Then we don't need to consider the people in the groups.

Now, get the average of the 2 groups as follows:

= 521.4 + 502.6/2

= 512

Therefore, an average, which is frequently the sum of the numbers divided by the total number of the numbers in the group and the required average of the 2 given groups is 512.

Know more about averages here:

https://brainly.com/question/20118982

#SPJ1

(1) To solve this linear programming problem, we need to graph the constraints and find the feasible region. Starting with the first constraint, x + y ≤ 7, we can plot the line x + y = 7 and shade the region below it (since we want x and y to be greater than or equal to 0).

Next, the constraint 2x + y ≤ 12 corresponds to the line 2x + y = 12, and we shade the region below this line as well.
Finally, the constraint y ≤ 4 corresponds to the horizontal line y = 4, which we shade everything below.
The feasible region is the overlapping shaded region of these three constraints.
To maximize f = 2x + 4y within this feasible region, we need to find the corner point with the highest value of f.
Checking the corner points of the feasible region, we have (0,4), (3,4), and (5,2).

Plugging each of these into the objective function f = 2x + 4y, we get:
- (0,4): f = 2(0) + 4(4) = 16
- (3,4): f = 2(3) + 4(4) = 22
- (5,2): f = 2(5) + 4(2) = 18
Therefore, the maximum value of f = 22 occurs at the point (3,4).
(x,y) = (3,4)
f = 22 .

2) Again, we need to graph the constraints to find the feasible region.Starting with the first constraint, x + y ≤ 7, we plot the line x + y = 7 and shade the region below it.The second constraint, 2x + y ≤ 12, corresponds to the line 2x + y = 12, which we shade the region below as well. Finally, the third constraint, x + 3y ≤ 15, corresponds to the line x + 3y = 15, which we shade the region below.

The feasible region is the overlapping shaded region of these three constraints. To maximize f = 2x + 8y within this feasible region, we need to find the corner point with the highest value of f. Checking the corner points of the feasible region, we have (0,0), (0,5), (3,4), and (7,0).

Plugging each of these into the objective function f = 2x + 8y, we get:- (0,0): f = 2(0) + 8(0) = 0
- (0,5): f = 2(0) + 8(5) = 40
- (3,4): f = 2(3) + 8(4) = 34
- (7,0): f = 2(7) + 8(0) = 14, Therefore, the maximum value of f = 40 occurs at the point (0,5). , (x,y) = (0,5)
f = 40.

To know more about value click here

brainly.com/question/30760879

#SPJ11

To prove these limits using the ε – δ definition, we need to show that for any given ε > 0, there exists a δ > 0 such that if 0 < |x - c| < δ, then |f(x) - L| < ε, where L is the desired limit.

(a) To compute lim(x² + 2x)/(x - 3), we can factor the numerator as x(x + 2) and simplify the expression. The limit can be evaluated by substituting the value x = 3 into the simplified expression, which results in an indeterminate form. To prove the limit using the ε – δ definition, we need to show that for any given ε > 0, there exists a δ > 0 such that if 0 < |x - 3| < δ, then |(x² + 2x)/(x - 3) - L| < ε.

(b) To compute lim(x² + 2x), we can simplify the expression by factoring out x and evaluating the limit as x approaches infinity. To prove the limit using the ε – δ definition, we need to show that for any given ε > 0, there exists a δ > 0 such that if x > δ, then |x² + 2x - L| < ε.

(c) To compute lim(x - 3)/9, we can simplify the expression and evaluate the limit directly. To prove the limit using the ε – δ definition, we need to show that for any given ε > 0, there exists a δ > 0 such that if 0 < |x - 3| < δ, then |(x - 3)/9 - L| < ε.

In each case, the specific values of L and the corresponding ε and δ values will depend on the given function and limit. By following the ε – δ definition and finding appropriate δ values for a given ε, we can rigorously prove the limits using the limit definition.

Learn more about limits here:

https://brainly.com/question/12211820

#SPJ11

Answer:

C or D

Step-by-step explanation:

c and d look the same? but they're both right. If x is the unknown number you want to add 33 to get a number that is 33 more. A would result in a number 33 less than the unknown number and b would result in a number 33 times the size of the unknown number

Answer:

29

Step-by-step explanation:

(a) Matrix ⎣⎡​4197​011​1−30​⎦⎤​: Nonsingular (since the determinant is -121 ≠ 0).

(b) Matrix ⎣⎡​4−57​−260​103​⎦⎤​: Nonsingular (since the determinant is 402 ≠ 0).

(c) Matrix ⎣⎡​7113​−11−3​04−4​⎦⎤​: Nonsingular (since the determinant is 80 ≠ 0).

(d) Matrix ⎣⎡​−4310​908​516​⎦⎤​: Nonsingular (since the determinant is -2040 ≠ 0).

To determine whether a matrix is nonsingular, we need to check if its determinant is nonzero. If the determinant is nonzero, the matrix is nonsingular; otherwise, it is singular.

Let's calculate the determinants for each matrix:

(a) Matrix ⎣⎡​4197​011​1−30​⎦⎤​:

Determinant = (4 * (-30)) - (1 * 1) = -120 - 1 = -121

(b) Matrix ⎣⎡​4−57​−260​103​⎦⎤​:

Determinant = (4 * 103) - ((-5) * (-2)) = 412 - 10 = 402

(c) Matrix ⎣⎡​7113​−11−3​04−4​⎦⎤​:

Determinant = (7 * (-4) * (-3)) - (1 * 1 * 4) = 84 - 4 = 80

(d) Matrix ⎣⎡​−4310​908​516​⎦⎤​:

Determinant = (-4 * 516) - ((-3) * 8) = -2064 + 24 = -2040

Based on the determinant calculations, we can determine the nonsingularity of each matrix:

(a) Matrix ⎣⎡​4197​011​1−30​⎦⎤​: Nonsingular (since the determinant is -121 ≠ 0).

(b) Matrix ⎣⎡​4−57​−260​103​⎦⎤​: Nonsingular (since the determinant is 402 ≠ 0).

(c) Matrix ⎣⎡​7113​−11−3​04−4​⎦⎤​: Nonsingular (since the determinant is 80 ≠ 0).

(d) Matrix ⎣⎡​−4310​908​516​⎦⎤​: Nonsingular (since the determinant is -2040 ≠ 0).

learn more about interest expense on

https://brainly.com/question/33248482

#SPJ11

1)  the language L1 is accepted by this PDA.

2) the language L2 is accepted by this PDA.

To draw trans diagram of a PDA for the following languages, we need to proceed as follows:

(1) The language, L1 = {an c bn : n ≥ 0}, can be represented in the form of a PDA as follows:

We can explain the above trans diagram as follows:

Initial state is q0.

Stack is initiated with Z.

We make a transition to q1, upon reading a, push 'X' onto the stack.

We remain in q1 as long as we read 'a' and continue pushing 'X' onto the stack.

The transition is made to q2 when 'c' is read. In q2, we keep on poping 'X' and reading 'b'.

Once we pop out all the Xs from the stack, we move to the final state, q3.

Thus the language L1 is accepted by this PDA.

2) The language L2 = {an b2n : n ≥ 0}, can be represented in the form of a PDA as follows:

We can explain the above trans diagram as follows:

Initial state is q0.

Stack is initiated with Z.

We make a transition to q1, upon reading a, push 'X' onto the stack.

We remain in q1 as long as we read 'a' and continue pushing 'X' onto the stack.

The transition is made to q2 when 'b' is read.

In q2, we keep on poping 'X' and reading 'b'.

Once we pop out all the Xs from the stack, we move to the final state, q3.

Thus the language L2 is accepted by this PDA.

To know more about diagram, visit:

https://brainly.com/question/2481357

#SPJ11

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

Learn more about domain and range at https://brainly.com/question/26098895

#SPJ1

Answer:

11) 75.2

12) 44.2

Step-by-step explanation:

angles formed by intersecting lines tangent to a circle are the same length.

11)

Perimeter = 2(5) + 2(12) + 2(11.4) + 2(9.2) = 75.2

12)

Perimeter = 2(4) + 2(8) + 2(5.3) + 2(4.8) = 44.2

Answer: 80

Step-by-step explanation:

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

To learn more about derivative visit:

https://brainly.com/question/30403647

#SPJ4