9j/5-6j simplify your answer. Type a interger or a fraction. Type your answer in the form a+bj

Answers

Answer 1
Dividing by a complex number is a similar process to the above - we multiply top and bottom of the fraction by the conjugate of the bottom.

Related Questions

What type of angle measures 40 degrees
?

Answers

Answer: An acute angle

Step-by-step explanation: An acute angle is an angle that measures 89 degrees or less (Less than 90 degrees). Another way to define acute angles is any angle that is smaller than a right angle.

Acute angle hope this helps

The distribution of monthly charges for cellphone plans in the United States is approximately normal with a mean of $62 and a standard deviation of $18. What percentage of plans have charges that are less than $83.60?

Answers

About 88.49% of cellphone plans have charges that are less than $83.60.

How to determine the percentage of plans have charges that are less than $83.60?

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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The distribution of monthly charges for cellphone plans in the United States is approximately normal

M bisects QP, and QP = 27.4. Find QM.

Answers

Answer:

13.7

Step-by-step explanation:

All you need to do is divide by 2, hope this helped!

Answer:

QM = 13.7

Step-by-step explanation:

Step 1:

QP ÷ M = QM      Def. of ∠ bisector

Step 2:

27.4 ÷ 2      Input Values

Answer:

13.7      Divide

Hope This Helps :)

Determine the mean, median, mode and midrange for the following data:
13 15 18 18 21
Your answers should be exact numerical values.
The mean of the data is
The median of the data is
The mode of the data is
The midrange of the data is

Answers

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

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The mug is 5/8 full, the mug contains 3/4 of water find the capacity of the mug

Answers

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

What is capacity?

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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513.4497 rounded to the hundredths place

Answers

Answer:

513.45

Step-by-step explanation:

use intelligence

The answer is 513.45

3 6 9 12 15 18 21 24 27 30 is odd or even numbers?​

Answers

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Match Column A with the equivalent fraction in column b


Match Column A with the equivalent fraction in column b

Answers

23. A

24. D

25. C

26. F

27. B

28. E

Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?

Answers

Answer: This is the answer. please give me the brainliest. Thanks

Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every

1 point
A bag of marbles contains 17 red marbles, 6 blue marbles, 12 green
marbles and 3 yellow marbles. What is the probability of randomly
selecting a red marble and then a blue marble out of the bag without
replacement (the first marble isn't put back into the bag)? Round your
answer to 2 decimal places.
Your answer
I
A bag of marbles contains 17 red marbles 6 blue marbles, 12 green

Answers

Answer:

it's dependent events so multiply each probability

Total marbles = 17+6+12+3=38

P(red) = 17/38

Since without replacement, now total marble is 38-1=37

P(blue)= 6/37

Multiply two probability

(17/38) (6/37) = 0.07

A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.

A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.

Answers

the answer is: FE ~ QS
- the last one is your answer, you can use the small lines on the side of triangle to help you know which ones match with each other

in the form, y=a(1+r)^t PLEASEEEEEE

in the form, y=a(1+r)^t PLEASEEEEEE

Answers

Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

in the form, y=a(1+r)^t PLEASEEEEEE
in the form, y=a(1+r)^t PLEASEEEEEE

Mr. Bayudan has a bunch of $5 bills and $10 bills in his
wallet. He has a total of $140. He has three times the
number of $10 as the number of $5 in his wallet. How
many of each bill does he have?

Answers

Answer:

5x + 3(10) = 140

Step-by-step explanation:

10. What is the stope of the line shown in the graph Express your answer as an improper fraction or as an integer as appropriate. Show your work
f

Answers

Step-by-step explanation:

slope is y2-y1/x2-x1

formula is

y=mx+b where m is the slope

What is the range of the absolute value function below?

Answers

The range of the absolute value function y = |x| is all non-negative numbers, which can be expressed as [0, ∞).

The absolute value function is a type of mathematical function that measures the distance between a given number and zero. It is denoted by two vertical bars surrounding the number or expression.

The range of the absolute value function is the set of all non-negative numbers. This is because the absolute value of any number is always a positive number or zero.

For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.This means that the output of the function can never be negative and can range from zero to infinity.

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The range of the absolute value function below is C. f(x) < 1.

How to explain the information

The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and range is the possible output given by the function. Domain→ Function →Range.

The range of a function is the set of all its outputs. Example: Let us consider the function f: A→ B, where f(x) = 2x and each of A and B = {set of natural numbers}.

The function y=|ax+b| is defined for all real numbers. So, the domain of the absolute value function is the set of all real numbers. The absolute value of a number always results in a non-negative value.

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What is the range of the absolute value function below?

f(x) > -4

f(x) > -1

f(x) < 1

f(x) < 4

What is the range of the absolute value function below?

SOMEONE HELP I KNOW SECTION A IS 27,500 BUT I DONT KNOW SECTIONS B AND C. PLEASE HELP SOON!

a stadium has 55,000 seats. seats sell for $25 in section A, $20 in section B, and $15 in section C. the number of seats in section A equals the total number of seats in sections B and C. suppose the stadium takes in $1,174,000 from each sold-out event. how many seats does each section hold?

Answers

Answer:

b=14800

c=12700

solve 8,961 ÷ 29 in standard algorithm.
500 points

Answers

The value of the quotient expression 8,961 ÷ 29 = 309

How to determine the quotient of the numbers?

The numbers are given as

8961 and 29

So, we have

8,961 ÷ 29

By using the standard algorithm i.e. the partial quotient method, we have the following equation

8,961 ÷ 29 = (8700 + 261)/29

Open the bracket

So, we have the following equation

8,961 ÷ 29 = 8700/19 + 261/29

Evaluate the quotients

So, we have the following equation

8,961 ÷ 29 = 8700/19 + 261/29

Next, we evaluate

So, we have the following equation

8,961 ÷ 29 = 309

This means that the quotient is 309

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Answer:

Step-by-step explanation:

309

Nate has 8 x (12 x 34 x 56) jelly beans. Walt has (12 x 34 x 56)
jelly beans. How many times more jelly beans does Nate have
than Walt?

Answers

Answer:

Nate has 8 times more jelly beans than Walt.

Step-by-step explanation:

Nate's quantity:

8 x (12 x 34 x 56)

Walt's quantity:

(12 x 34 x 56)

To find the ratio, we can divide Nate's quantity by Walt's quantity:

Ratio = Nate's quantity / Walt's quantity

Ratio = (8 x (12 x 34 x 56)) / (12 x 34 x 56)

Simplifying the expression:

Ratio = 8

Therefore, Nate has 8 times more jelly beans than Walt.

Does anyone know how to do this? Please help!

Does anyone know how to do this? Please help!

Answers

To find the area of a circle with a concentric hole in it, you have to find the area of both circles and subtract the smaller from the larger. I will use a capital R to represent the larger circle and a lowercase r to represent the smaller circle.

So that would make the formula: (3.14)R^2-(3.14)r^2 = A
The only unknown variables that you need to find are the radii of the two circles

The smaller circle:
You are given the diameter, and the diameter is 1/2 the radius,
so r= 1/2(11.25) = 5.625

The larger circle:
You are given the width, which is the total added onto the diameter of the smaller circle so:
(11.25+3.75)/2=7.5
and now that you know R, you can plug into the equation found at the start: (3.14)R^2-(3.14)r^2 = A

(3.14)(7.5^2)-(3.14)(5.625^2)=A
A=176.71-99.35
A=77.36 ft^2

. Ronaldinho Trading Co. is required by its bank to maintain a current ratio of at least 1.75, and its current ratio now is 2.1. The firm plans to acquire additional inventory to meet an unexpected surge in the demand for its products and will pay for the inventory with short-term debt. How much inventory can the firm purchase without violating its debt agreement if their total current assets equal $3.5 million?

Answers

The inventory can the firm purchase without violating its debt agreement is $777,777

What is liquidity ratio?

Liquidity ratios are a class of financial metrics used to determine a debtor's ability to pay off current debt obligations without raising external capital.

Given that, Ronaldinho Trading Co. is required by its bank to maintain a current ratio of at least 1.75, and its current ratio now is 2.1.

Let X represent the additional borrowing against the firm’s line of credit (which also equals the addition to current assets).

We can solve for that level of X that forces the firm’s current ratio to be at 1.75

$3,500,000 / Current liabilities = 2.1

Current liabilities = $1,666,667

1.75 = ($3,500,000 + X) / ($1,666,667 + X) (1.75 * $1,666,667) + 1.75X

= $3,500,000 + X 0.75X = $3,500,000 – $2,916,667 X

= $777,777

Hence, the inventory can the firm purchase without violating its debt agreement is $777,777

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

KL = 7, so B is the correct answer.

2/a - 6 = 12
= 12
Nejekernammd

Answers

Answer:

what's the question xjsbzbksns

Answer:

what r u asking?

Step-by-step explanation:

Do not put any punctuation (other than a necessary decimal place) or spaces into your answer.
When Claudia borrowed $6400 at 11% compounded semiannually for three years, the value of the rate per period was

Answers

Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.

What is compound interest?

compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.

Capital(p) = $6400

Rate of interest(r) = 11%

Years(n) = 3

The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).

Now

\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)

The entire amount (Capital+interest) is equal to $8752.8384.

If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)

Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.

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Question below..............................................................

Question below..............................................................

Answers

Step-by-step explanation:

dont know the answer what we have to do

The scatterplot shows the relationship between the number of yards allowed by teams in the National Football League and the number of wins for that team in a recent season, along with the least-squares regression line. Computer output is also provided.


2 Calculate and interpret the residual for the Seattle Seahawks, who allowed 4668 yards and won 10 games.

The scatterplot shows the relationship between the number of yards allowed by teams in the National Football

Answers

If the residual is negative, it means the observed number of wins is lower than the predicted number of wins, indicating that the team performed worse than expected based on their yards allowed.

What is the interpret the residual for the Seattle sea hawks?The residual for a data point in a regression analysis represents the difference between the observed response (number of wins) and the predicted response (value on the regression line).To calculate the residual for the Seattle Sea hawks, we need to find the value of the regression line at the number of yards allowed (4668), then subtract the observed number of wins (10).Interpretation of the residual: if the residual is positive, it means the observed number of wins is greater than the predicted number of wins, indicating that the team performed better than expected based on their yards allowed. If the residual is negative, it means the observed number of wins is lower than the predicted number of wins, indicating that the team performed worse than expected based on their yards allowed.

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help me please
............

help me please............

Answers

Answer: 3

Step-by-step explanation:

3 + (-4) = -1

Answer:

Step-by-step explanation:

3+-4=-1

on the number line you can see that if you start at 3, go left 4 paces (-4) you land at -1

Qin Corp. Issued 10-year bonds 2 years ago at a coupon rate of 9 percent. The bonds
make semiannual payments. If these bonds currently sell for 102 percent of par value,
what is the YTM? (Do not round Intermediate calculations and enter your answer as a
percent rounded to 2 decimal places, e.g., 32.16.)

Answers

In linear equation , 8.65%  is the YTM .

What is a formula for linear equations?

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

Assuming face value to be $1000

Coupon = (0.09 * 1000) / 2 = 45

Number of periods = 8 * 2 = 16

Price = 102% of 1000 = 1020

YTM = 8.65%

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125x ^ 3 - 27 = 0
Solve this by grouping

Answers

The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)

What is an equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping

Rewriting 125x^ 3 −27 as (5x) ^3 −3³

The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )

Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.

Hence, (5x−3)(25x ^2 +15x+9)

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Sharla bought 5 1/2 pounds of ground beef. Before freezing the ground beef, she plans to make it into hamburger patties that weigh 1/4 each. How many patties can Sharla make? ​

Answers

She can make 22 patties since 5 1/2 divided by 1/4 is 22

Answer:

22 patties

Step-by-step explanation:

To find how many patties she can make, divide 5 1/2 by 1/4

5.5/0.25

= 22

So, she can make 22 patties

graph the line with slope -3/4 passing through the point (2,-1)

Answers

Answer:

Step-by-step explanation:

Slope of the line:

\(m = \frac{y-y1}{x-x1} \\\)

Given:

slope = -3/4

point (x1,y1) = (2, -1)

Substitute and solve

\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)

1/2 is the y-intercept

(0,1/2)

Since we have 2 points already, we can then graph the line.

(2, -1) and (0, 1/2)

graph the line with slope -3/4 passing through the point (2,-1)
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