how do i solve this using imaginary numbers? PLEASE HELP

How Do I Solve This Using Imaginary Numbers? PLEASE HELP

Answers

Answer 1

Answer:

14 -2i

Step-by-step explanation:

9 + sqrt(-4) - ( -5 + sqrt(-16))

We know the sqrt of a negative number is i * sqrt(number)

9 + isqrt(4) - ( -5 + isqrt(16))

9 + 2i - (-5 + 4i)

Distribute the negative sign

9+2i +5 -4i

Combine like terms

14 -2i


Related Questions

Round the number 385 to the nearest 10

Answers

Answer: 390

Step-by-step explanation:

Answer:

340

Step-by-step explanation:

with every number 0-4 stays with the 10's group that it was in to begin with. and numbers past that go to the next 10's group. so for this question you have 385. you have to move the 5 to a 10. therefor you have 390

To estimate the percentage of a state's voters who support the current

governor for reelection, three newspapers each survey a simple random

sample of voters. Each paper calculates the percentage of voters in their

sample who support the governor and uses that as an estimate for the

population parameter. Here are the results:

• The Herald: n = 1000 voters sampled; sample estimate = 61%

• The Tribune: n = 800 voters sampled; sample estimate = 57%

The Times: n= 600 voters sampled; sample estimate = 71%

All else being equal, which newspaper's estimate is likely closest to the actual

percentage of voters who support the governor for reelection?

CITI

Answers

Final answer:

Considering both sample size and sample estimate, The Herald with a sample size of 1000 and an estimate of 61% is likely the most accurate representation of the population proportion of voters supporting the governor, assuming all else is equal and the sampling method is consistent across surveys.

Explanation:

To estimate the actual percentage of voters who support the governor for reelection, we need to consider both the sample size and the sample estimate from each newspaper. Generally, larger samples provide more reliable estimates. However, we must also recognize that random sampling variability could lead to different sample estimates.

The results from the newspapers are:

The Herald: n = 1000 voters sampled; sample estimate = 61%The Tribune: n = 800 voters sampled; sample estimate = 57%The Times: n = 600 voters sampled; sample estimate = 71%

In this scenario, The Herald has the largest sample size, which suggests that its result (61%) is likely the most accurate representation of the true population parameter, if all other factors such as sampling method are equal. The larger the sample size, the smaller the margin of error in estimating a population proportion, and typically the closer the estimate is to the actual value. Therefore, The Herald's estimate is likely closest to the true proportion of voters supporting the governor for reelection.

The carousel at a local theme park has a diameter of 32 feet. each ride last three minutes and the speed of the carousel is 4.3 revolutions per minute. what is the maximum distance riders travel in one full ride? round to the nearest hundredth.

Answers

Answer:

1297.37 feet.

Step-by-step explanation:

Given:

The carousel at a local theme park has a diameter of 32 feet.

Each ride last three minutes and the speed of the carousel is 4.3 revolutions per minute.

Question asked:

What is the maximum distance riders travel in one full ride? Round to the nearest hundredth.

Solution:

First of all we will find the radius of the carousel:-

Diameter = 32 feet

Radius, r = [tex]\frac{Diameter}{2} =\frac{32}{2} =16\ feet[/tex]

Now, we will find distance covered by the carousel in one ride that means its circumference;

[tex]Circumference\ of \ the \ circle=2\pi r[/tex]

                                               [tex]=2\times\frac{22}{7} \times16\\ \\ =\frac{704}{7} \\ \\ =100.571\ feet[/tex]

In 1 minute, number of revolution taken by carousel = 4.3

As each ride last for 3 minutes:-

In 3 minutes, number of revolution taken by carousel = 3 [tex]\times[/tex] 4.3 = 12.9

In 1 revolution, distance covered by carousel = 100.571 feet

In 12.9 revolution, distance covered by carousel = 100.571  [tex]\times[/tex] 12.9

                                                                                 = 1297.365 feet

Thus, the maximum distance riders travel in one full ride is 1297.37 feet.

                                           

Answer:

1297.37 feet

Step-by-step explanation:

took test

Circumference of a circle
You might need:
Calculator
Suppose the diameter of a circle is 16 units. What is its circumference?
units

Answers

Answer:

50.27 units

Step-by-step explanation:

The formula for the circumference of a circle is:

C = [tex]\pi[/tex]d

where, d = diameter

Now plug in the values as shown below:

C = [tex]\pi[/tex]16

C = 50.27

Paul wrote the equation t=2m+40 to represent the temperature, t, in degrees Celsius, after a substance had been heated for m minutes. ​

Answers

The relationship between the temperature of the substance and the time it has been heated is that it heats up two more degrees every minute and started out as 40 degrees.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that Paul wrote the equation t=2m+40 to represent the temperature, t, in degrees Celsius. after a substance had been heated for m minutes. ​

Then we can see that it heats up two more degrees every minute and started out as 40 degrees..

The relationship between the temperature of the substance and the time it has been heated is that it heats up two more degrees every minute and started out as 40 degrees.

Learn more about equations here;

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A road bike has a wheel diameter of 622 mm. What is the circumference of the wheel? Use 3.14 for Pi.
1.) 976.24 mm
2.) 976.54 mm
3.) 1,852.08 mm
4.) 1,953.08 mm

Answers

Answer:

The answer is option 4.

Step-by-step explanation:

It is given that the diameter of a wheel is 622 mm so in order to find its radius you have to divide it by 2 :

diameter = 622 mm

radius = 622 ÷ 2

= 311 mm

Next you have to use the formula of circumference of circle, C = 2×π×r where r represents radius :

Let π be 3.14,

Let r be 311 mm,

C = 2×3.14×311

= 1953.08 mm

Answer:

4th option (D.)

Step-by-step explanation:

got it right on edg 2020

A division of a company has over 200 employees, 40% of which are male. Each month, the company randomly

selects 8 of these employees to have lunch with the CEO.

What are the mean and standard deviation of the number of males selected each month?



You may round your answers to the nearest tenth.

mean:?

males


standard deviation:?

males

Answers

Answer:

mean: 3.2 standard deviation: 1.4

Step-by-step explanation:

its correct

Final answer:

The mean number of males selected each month is 3.2, and the standard deviation is approximately 1.4 males.

Explanation:

The student's question is about finding the mean and standard deviation of the number of males selected each month to have lunch with the CEO in a division of a company. Given that 40% of the employees are male, we can determine the mean number of males selected for the lunch by multiplying the percentage of males by the number of employees selected each month, this is known as the expected value, E(X) = np. Since 40% of over 200 employees are male, we assume we have at least 80 males (0.40 x 200) in the division. If 8 employees are selected at random, the mean number of males expected, μ, would be 40% of 8, or 3.2 males.

To find the standard deviation, σ, we use the formula for the standard deviation of a binomial distribution, which is σ = sqrt(np(1-p)), where p is the probability of choosing a male (0.40) and n is the total number selected (8). In this case, the standard deviation is σ = sqrt((8)(0.40)(0.60)) and rounding to the nearest tenth gives us σ ≈ 1.4.

8x^3=(-2x)(A) what does a equal HELPPP PLEASERE

Answers

Answer:

a=0

Step-by-step explanation:

Answer: A= 512x^3+2x

Step-by-step explanation:

Cube the x and 8 then add -2x to both sides leaving A alone.

I want the answer of this . .

Answers

Answer:

I believe it is 2 so X=2

Which of the following is a step used in the construction of an equilateral triangle inscribed in a circle?
Connect all six points on the circle.
Draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter.
Construct two diameters using the points where the arc intersects the circle and the center.
Connect the endpoints of the two diameters

Answers

Final answer:

To construct an equilateral triangle inscribed in a circle, the correct steps are to construct two diameters using the points where the arc intersects the circle and the center, and then connect the endpoints of the two diameters.

Explanation:

The correct step used in the construction of an equilateral triangle inscribed in a circle is to construct two diameters using the points where the arc intersects the circle and the center. This will create a cross shape inside the circle. Then, you connect the endpoints of the two diameters to form the equilateral triangle. This is because the lengths of the radii of the circle are equal, and connecting the points where the arc intersects the circle with the center creates two congruent radii.

A fuel tank has a volume of 36 gallons. When filled with biodiesel, it provides 4,500,000 BTUs. How many BTUs does 1 gallon of biodiesel yield?

Answers

Answer: 125,000 BTUs

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

A fuel tank has a volume of 36 gallons. When filled with biodiesel, it provides 4,500,000 BTUs

So, the proportion is:

36 gallons / 4,500,000 BTUs

For 1 gallon  

1 gallon / x BTUs

36/4,500,000 = 1/x

Solving for x:

x = 1 / (36/4,500,000)

x = 125,000 BTUs

Feel free to ask for more if needed or if you did not understand something.

What is 3 by the square root of 200

Answers

Answer:

42.43

Step-by-step explanation:

200 = 10^2 x 2

3 x (10 root 2)

= 30 root 2

= 42.42640687

*root =

I hope this helped you!

42.43 I hope I helped

I NEED HELP PLS
A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi, and make certain to show your work. Hint: you may need to find the volume of the component shapes.
I WILL GIVE BRAINLIEST AND 95 POINTS I NEED HELP FAST.

Answers

Answer:

114.5 in³

Step-by-step explanation:

Volume of cone:

⅓ × 3.14 × 8² × 12

= 803.84 cm³

Volume of hemisphere:

⅔ × 3.14 × 8³

= 1071.786667 cm³

Total = 803.84 + 1071.786667

= 1875.626667 cm³

1 cm = 0.393701 inches

1 cm³ = 0.393701³ inches

Volume in in³:

1875.786667/0.393701³

= 114.4579471 in³

Will the lengths 60.5, 63, and 87.5 feet form a right triangle?

Answers

For a triangle to be a right triangle you can substitute the legs of the triangle (16 and 63) and the hypotenuse (65) into the Pythagorean Theorem. If the two sides of the equation are equal it is a right triangle. If they are not equal this is not a right triangle.

In a poll of Mr. Briggs's math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school.

A. Explain why this is not a valid conclusion

B. Suggest a better method of determining what subject is most popular

Answers

Answer:

1) biased sample

2) random sampling

Step-by-step explanation:

Since the results are based on feedback of students in only one class, it's not a good representative of the entire student body.

Also, since it's a math class there will be a bias.

Better method would be randomly selecting students from the entire school students list and take their feedback

A trapezoidal prism has a height of 8.4 centimeters and volume of 212.52 cubic centimeters. What is the area of the base of the prism

Answers

Answer:

25.3 square centimeters

Step-by-step explanation:

Volume is a product of surface area and height, expressed as

V=Ah

Where A is area while h is height of the prism.

Making A the subject of the formula then

[tex]A=\frac {V}{h}[/tex]

Substituting 212.52 cubic centimeters for V and 8.4 centimeters for h then

[tex]A=\frac {212.52}{8.4}=25.3[/tex]

Therefore, the area of the base of prism is 25.3 square centimeters

write an expression that is equivalent to 7 3/4 + 1 3/4 - 3 5/6 that uses addition instead of subtraction

Answers

Answer:

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6

Step-by-step explanation:

7 3/4 + 1 3/4 - 3 5/6

we do not want the minus sign.

7 3/4 + 1 3/4 - 3 5/6 = 7 3/4 + 1 3/4 - 3  -   5/6

7 3/4 + 1 3/4 - 3 5/6 =  7+  3/4 + 1 +  3/4 - 3  -  5/6

7 3/4 + 1 3/4 - 3 5/6 = 7 + 1 - 3 + 3/4 + 3/4 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 5 + 3/4 + 3/4 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1 - 5/6

7 3/4 + 1 3/4 - 3 5/6 = 4 + 3/4 + 3/4 + 1/6

Final answer:

To rewrite the expression 7 3/4 + 1 3/4 - 3 5/6 using addition instead of subtraction, we can change the sign of the subtraction term and find the common denominator to add the fractions.

Explanation:

To rewrite the expression 7 3/4 + 1 3/4 - 3 5/6 using addition instead of subtraction, we can change the subtraction to addition by changing the sign of the second term. So the expression becomes:

7 3/4 + 1 3/4 + (-3 5/6)

Now, to add fractions with different denominators, we need to find the common denominator. In this case, the common denominator is 12.

Converting all the fractions to have a denominator of 12, we get:

7 9/12 + 1 9/12 + (-3 10/12)

Adding the numerators, we have:

7 + 9 + 1 + 9 - 3 - 10 = 13

So the expression 7 3/4 + 1 3/4 - 3 5/6, using addition instead of subtraction, is equal to 13.

Which of these best describes the Pythagorean theorem?

A) All of the answers are correct.
B) The sides of a right triangle are related to each other.
C) The sum of the squares of the smaller sides of a right triangle equal the square of the largest side.
D) A-squared plus B-squared equals C-squared.

Answers

Answer:

A)

Step-by-step explanation:

The theorem states that if a right triangle has two sides equal to a and b, and a hypotenuse equal to c, then a squared plus b squared equals c squared.

the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

hope this help please mark me

Final answer:

A) 'All of the answers are correct.' would be the best answer.

Explanation:

The correct answer to the question 'Which of these best describes the Pythagorean theorem?' is option C), which states 'The sum of the squares of the smaller sides of a right triangle equal the square of the largest side.'

However, option D) 'A-squared plus B-squared equals C-squared.' is also a correct representation of the theorem. Therefore, if all given options were correct representations of the theorem, then the best choice would be A) 'All of the answers are correct.'

The Pythagorean theorem is a fundamental principle in geometry that relates the lengths of the sides of a right triangle. Specifically, it states that the square of the length of the hypotenuse (side c) is equal to the sum of the squares of the lengths of the other two sides (sides a and b).

This relationship can be expressed with the formula a² + b² = c², where c represents the hypotenuse and a and b represent the legs of the right triangle.

If one needs to find the length of the hypotenuse, one can use the formula c = √(a² + b²).

14. Tossing a coin four times in a row and getting HTHT, in that
order

Answers

Answer:

Heads, Tails, Heads, Tails

Step-by-step explanation:

So Bob and Larry both wanted a cookie, but the problem was the there was only one cookie

So they decided to settle this like the grown men that they are, and toss a coin three times to see who would get the cookie. Bob called heads, and Larry called tails. They had Bobs older brother Timmy flip the coin to make it fair. Timmy flipped the coin, it landed on heads. Bob scream "LETS GOOO!!" Larry was upset. But when Timmy flipped it a second time, it landed on tails. Larry's heart filled with joy as he thought of that delicious, chocolate chip cookie from Abbey. The final flip... Both Bob and Larry knew that the next one that it landed on would win that cookie... Timmy flipped it one last time.. and it landed on heads. Bob smiled cheek to cheek, and was about to get up to get the cookie. Larry's eyes started to water up. He really wanted that cookie, and to watch his best friend talk the love of his life made him sad. Bob saw this, and asked Timmy to flip the coin one more time. Both Timmy and Larry looked at him with confusion. But, Timmy did as he asked, and then it landed on tails. It was a tie. Bob wen to get the cookie, split it in half, and gave it to Larry. Both of them, happily eatting the cookie walked off into the sunset, to continue both of their journeys.

THE END

Final answer:

The probability of getting the sequence HTHT when flipping a coin four times in a row is 1/16 or 0.0625, which is approximately 6.25%.

Explanation:

In this question, we are asked about the probability of getting the sequence HTHT when flipping a coin four times in a row.

To calculate the probability, we need to find the total number of possible outcomes and the number of outcomes that match the desired sequence. Each coin flip has two possible outcomes, heads (H) or tails (T), so when flipping a coin four times, the total number of possible outcomes is 2⁴ = 16.

Out of the 16 possible outcomes, only one outcome matches the sequence HTHT. Therefore, the probability of getting the sequence HTHT when flipping a coin four times in a row is 1/16 or 0.0625, which is approximately 6.25%.

How do you write 5.1 x 103 in standard form?

Answers

Answer:

1616626178188391991

Answer:

Do you mean 103 or 10^3?

Sammi wanted to create a dot plot based on this tally chart.

A 2-column table with 4 rows. Column 1 is labeled Hours with entries 3, 4, 5, 6. Column 2 is labeled Tally with entries 4, 6, 3, 5.

In which step, if any, did Sammi make a mistake creating his dot plot?

Steps to Create a Dot Plot





Step 1

Create a number line.

A number line going from 3 to 6.






Step 2

Title the Dot Plot

A number line titled How Many Hours did you read last week question mark going from 3 to 6.






Step 3

Plot the Points

A dot plot titled How Many Hours did you read last week going from 3 to 6. 3 has 4 dots, 4 has 6 dots, 5 has 3 dots, and 6 has 5 dots.

Sammi made a mistake in Step 1 because his number line did not include all numbers in the data set.
Sammi made a mistake in Step 2 because he chose a title without knowing if the table represents the number of hours read per week.
Sammi made a mistake in Step 3 because he did not correctly plot each dot above the appropriate place on the number line.
Sammi did not make a mistake.

Answers

Answer:b

Step-by-step explanation:

Answer:

(B)Sammi made a mistake in Step 2 because he chose a title without knowing if the table represents the number of hours read per week.

Step-by-step explanation:

please mark brainliest

or i d k just bye bye

3. A flock of sheep has 182 white sheep and 98 spotted sheep. Which proportion can
be used to determine p, the percent of the flock that has spots?

Answers

Answer:

b

Step-by-step explanation:

Explain how to find the product 3^5 x 3^2 using rules for exponents.

Answers

Step-by-step explanation:

[tex] \because \: {a}^{m} \times {a}^{n} = {a}^{m + n} \\ \\ \therefore \: {3}^{5} \times {3}^{2} = {3}^{5 + 3} = {3}^{8} = 6,561 \\ [/tex]

Please help me solve for x

Answers

The angles are alternate interior angles, and they are congruent. Therefore, we can set the values equal to each other and solve for x.

15x + 5 = 140

15x = 135

x = 9

Hope this helps!! :)

Answer:

x = 9

Step-by-step explanation:

15x + 5 = 140

(Alternate exterior angles)

15x = 135

x = 9

Find the value of x for mAB = 46° and mCD = 25°.

Answers

Final answer:

The value of x cannot be determined from the given information.

Explanation:

To find the value of x, we need to have more information about the problem. The given information, mAB = 46° and mCD = 25°, does not directly provide a relationship between x and those angles. Therefore, the value of x cannot be determined from the given information.

Learn more about Indeterminable value here:

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Please help!!

First correct answer = branliest!!


Factor the trinomial: x^2−4x+3

Answers

Look at the attached picture

Hope this will help u...

Answer: (x-1)(x-3)

Step-by-step explanation:

X2-4x+3

Factorise

Factors of +3 that will give -4 is -3&-1

Substitute

X2-3x-x+3

X(x-3)-1(x-3)

(X-1)(x-3)

Someone PLEASE HELP ASAP!!!!!!!


A.) Vertical angles are congruent.


B.) two lines are parallel, then the corresponding angles formed are congruent.


C.) If two lines are parallel, then the same-side interior angles formed are congruent.


D.) If two lines are parallel, then the alternate interior angles formed are congruent.

Answers

Answer:

D

Step-by-step explanation:

The two lines marked with the pink arrow means that they're parallel, which means the other lines connecting them are the transversals. Because the set of angles listed in D are opposite sides of each transversal and inside of the parallel lines, it makes the most sense.

Which of the following describes the probability distribution below?
A. Median is greater than the mean and the majority of data points are to the left of the mean.
B. Median is greater than the mean and the majority of data points are to the right of the mean.
C. Mean is greater than the median and majority of data points are to the left of the mean
D. Mean is greater than the median and majority of data points are to the right of the mean

Answers

Answer:

B. Median is greater than the mean and the majority of data points are to the right of the mean.

Step-by-step explanation:

Mean = sum(x × p(x))

= (1×0.1)+(2×0.15)+(3×0.2)+(4×0.45)+(5×0.1)

= 3.3

Probability of more than 3.3 is:

0.45 + 0.1 = 0.55 > 0.5

Answer:

Its B on edge :)

Step-by-step explanation:

good luck <3

(select ALL of the correct answers)

Which expressions are equal to 6^3 x 2^6/ 2^3?

A. 12^6

B. 12^3

C. 2^6 x 3^3

D. 6^3

E. 2^3 x 3^3

For a reminder you must choose all of the correct answers, not just one answer. But if you have proof that it is just one answer and not just two or three then please explain. :}

Answers

Answer:

the answer is C,2^6×3^3

Step-by-step explanation:

6^3×2^6/2^3

=6^3×2^6-^3

=6^3×2^3

=2^6×2^3

Answer:

The answer is B and C

Step-by-step explanation:

The correct answers on plato

What is the value of x in the equation?
5 1/10x - 6 4/5 = 3 1/4

Answers

the answer x=67/34 or x=1.9706
Exactly what the first person said, I think.
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