complex numbers

simplify.

\left(\sqrt{-5}+2\sqrt{20}\right)\left(-\sqrt{-5}\right)

Complex Numberssimplify.\left(\sqrt{-5}+2\sqrt{20}\right)\left(-\sqrt{-5}\right)

Answers

Answer 1

Answer:

-5+ 20i

Step-by-step explanation:

just distribute: [tex](\sqrt{-5})(2\sqrt{20}+\sqrt{-5})[/tex]---> [tex](2\sqrt{-100}) -5[/tex] and because 100 is the perfect square of 10 you get -5+20i


Related Questions

what is the point of intersection of the linear system
x=5 and y = - 4

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Answer: The linear equations intersect at 5 , -4

i need help with this please give plain answer like the example on the image!

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Answer:

can you make it look better

Step-by-step explanation:

The quality

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Answer:

Question 1 is A  (7/10) Question 2 is b (39/56)

Step-by-step explanation:

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[tex]\implies2x = 74 \\ \implies \: x = \frac{74}{2} \\ \implies \: x = 37[/tex]

If you are wondering why 2x = 74 then, vertically opposite angles are always equal.

The top is correct :) have a great day

determine slope and what it represents!

Answers

Answer:

15 is the slope, it means you make $15 an hour

Step-by-step explanation:

$15 is found as the slope (see attachment), and because it's rise over run (15/1) then that is making $15 for every one hour worked.

For each inequality, find two For each inequality, find TWO values for that make the inequality true.
X+3>70
A. 61
B. 66
C. 50
D. 67
E. 70

Answers

Answer: Choice D and Choice E

Explanation:

Subtract 3 from both sides

x+3 > 70

x+3-3 > 70-3

x+0 > 67

x > 67

Any number larger than 67 will make the original inequality to be true.

Unfortunately, only E) 70 fits the description.

D) 67 won't work since 67 > 67 is false.

However, I have a feeling that the original inequality might be [tex]x+3 \ge 70[/tex]. If so, then 67 would work because [tex]67\ge 67[/tex] is true.

So I'll assume that this is the inequality you meant to type out.

Yay is making jam. The recipe calls for 3 strawberries for each apple

Answers

Answer:

3 into 1 apple so if u have 3 apples u need 9 strawberrys

Step-by-step explanation:

7 times a number is 30 greater than the sum of twice the number and five

Answers

Answer:

7 X = 30 + 2(x + 5)

7x = 30 + 2x + 10

7x = 40 + 2x

7x - 2x = 40 + 2x -2x

5x = 40

x=8

Answer:

x=8

Step-by-step explanation:

7 X = 30 + 2(x + 5)

7x = 30 + 2x + 10

7x = 40 + 2x

7x - 2x = 40 + 2x -2x

5x = 40

x=8

pact cameras are as follows:
185, 165, 250, 170, 220, 160, 215, 300, 180, 95, 150, 210, 180, 180
Find each of the following for the data:
a.) mean
b.) median
c.) mode
d.) midrange
e.) range
of the
f.) variance
g.) standard deviation
Molisivab babae

Answers

Answer:

In step by step

Step-by-step explanation:

Your mean is 190.

Your median is 180 because it is in middle.

Mode is also 180 because it appears most often

Range 205 because 300-95

Variance= without decimals/2346

Standard deviation without decimals /48

Hope it helps :}       have a great day!

I'm not good at linear equations and I need help fast.

Answers

Answer:

B. nonlinear

Step-by-step explanation:

Difference                        Difference

   in x                x     y            in y

                         0   -2

       1                                         1

                         1     -1

       1                                         7

                        2      6

       1                                         19

                       3     25

The difference between any two consecutive x-coordinates is 1. Each difference between any two consecutive y-coordinates is different. This means it is a nonlinear function.

Which graph represents the solution of |–2 + (x – 3)| < 7?

Answers

Answer:

D

Step-by-step explanation:

the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.

otherwise, we would have a "<=" ("smaller or equal") symbol.

let's start for the first limit to calculate without the absolute value :

-2 + (x - 3) < 7

-5 + x < 7

x < 12

the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :

-1×(-2 + (x - 3)) < 7

2 - (x - 3) < 7

2 - x + 3 < 7

-x + 5 < 7

-x < 2

x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).

The thesis statement, the theme or central idea of a speech, should be expressed as.

Answers

The thesis statement expresses the goal of the speech, whereas the specific purpose statement expresses the theme or central idea of the speech. ... Transitions should only be used between the introduction and the body of your speech.

Charity and timothy collect stamps. Timothy collected 17 fewer than three times the number of charitys stamps. Altogether, they collected 527 stamps. How many stamps did charity and timothy collect?
Charity collected _____
timothy collected____

Answers

Let

charity collected=xTimothy collected=3x-17

ATQ

[tex]\\ \tt\hookrightarrow x+3x-17=527[/tex]

[tex]\\ \tt\hookrightarrow 4x-17=527[/tex]

[tex]\\ \tt\hookrightarrow 4x=544[/tex]

[tex]\\ \tt\hookrightarrow x=136[/tex]

Charity=136Timothy=527-136=391[/tex]

The area of a rectangle is 18 cm. It's length is double than that breadth, (1) Find its length and breadth (2) Find its perimeter? ​

Answers

Answer:

3 cm, 6 cm18 cm

Step-by-step explanation:

Let the width is x, then the length is 2x.

Area of rectangle:

x*2x = 182x² = 18x² = 9x = 3

Dimensions are:

3 cm and 6 cm

Perimeter is:

P = 2(3 + 6) = 18 cm

Let dimensions be x and 2x

Now

Area=18LB=182x(x)=182x²=18x²=9x=3

Now

Breadth=3

Length=2(3)=6

Perimeter

2(3+6)=2(9)=18cm

if x + y = 12 and x * y = -360 what are the values of x and y

Answers

Step-by-step explanation:

x + y = 12

x × y = -360

we need to transform one equation into an identity of one variable being expressed by the other variable.

e.g. the first equation gives us

x = -y + 12

and then we use that in the second equation :

(-y + 12) × y = -360

-y² + 12y = -360

y² - 12y - 360 = 0

the general solution for such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = y

a = 1

b = -12

c = -360

y = (12 ± sqrt(144 - 4×1×-360))/2 =

= (12 ± sqrt(144 + 1440))/2 = (12 ± sqrt(1584))/2 =

= 6 ± sqrt(1584/4) = 6 ± sqrt(396) = 6 ± sqrt(36×11) =

= 6 ± 6×sqrt(11)

y1 = 6 + 6×sqrt(11) = 25.89974874...

y2 = 6 - 6×sqrt(11) = -13.89974874...

x1 = -y1 + 12 = -13.89974874...

x2 = -y2 + 12 = 25.89974874...

so, we see, they are interchangeable.

the solution is either

x = 25.89974874...

and

y = -13.89974874...

or

x = -13.89974874...

and

y = 25.89974874...

Wym has a packet of 50 biscuits she gives half of them to her friend and then eats 8 how many are left

Answers

Answer:

17 biscuits

Step-by-step explanation:

Since she starts with 50 and gives away half which is 25, that will leave her with 25 biscuits herself. If she then eats 8 of them, that will leave her with 17 since 25-8=17.

Factor the expression of 2x squared + 7x -4

Answers

Answer:

(2x−1)(x+4)

Step-by-step explanation:

2x2+7x−4=(2x−1)(x+4)

A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table shows the data: Number of employees (x) 0 50 100 150 200 250 300 350 400 Number of products (y) 100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100 Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points).

Answers

The correlation coefficient of the number of employees and the number of products is 0.1.

What is the correlation coefficient?

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

1 indicates a strong positive relationship.-1 indicates a strong negative relationship.

A result of zero indicates no relationship at all, therefore, independent variable.

A.) In order to find the correlation between the two quantities we need to know the mean of the two values, therefore, the mean of the number of employees can be written as,

The mean of the  number of employees

[tex]\text{Mean of the number of employees} = \dfrac{0+50+100+150+200+250+300+350+400}{9}[/tex]

[tex]\text{Mean of the number of employees} = 200[/tex]

The mean of the  number of products

Mean of the number of Products [tex]= \dfrac{100+1100+2100 +3100+ 4100 +5100+ 6100+ 7100+ 8100}{9}\\\\\\=4100[/tex]

Now, the table can be written in the following manner as shown below, using the formula of the correlation,

[tex]r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]

[tex]r =\dfrac{(30 \times 10^4)}{\sqrt{(15 \times 10^4)\times (60 \times 10^6)}}\\\\r = 0.1[/tex]

B.) The given data follows the linear relationship, therefore, the function of the given data will follow the general equation of a line.

y = mx + C

If we look at the value of y when the value of x was 0,

[tex]y = mx +C \\\\100 = m(0) + C\\\\C = 100[/tex]

Substitute the value of C in any other data point we will get,

[tex]y = mx+C\\\\1100 = m(50) +100\\\\m = 20[/tex]

Hence, the function that best fits the data is y=20x+100.

C.)  The slope and y-intercept of the plot indicate that as the number of employees in the organization increases the number of products increases as well. The y-intercept shows us that if there are no employees in the company at that point the company will be able to produce 100 products on its own.

Learn more about Correlation Coefficients:

https://brainly.com/question/15353989

Please help me answer these questions I keep getting 60% and I can’t move on unless I have 70%

Answers

I think that it is The third one

Find 3 consecutive integers that is 3 times the smallest is 32 more than the largest

Answers

Answer:

10,11,12

Step-by-step explanation:

32-2/3=smallest

In how many ways can the letters in the word spoon be arranged?

a. 24
b. 30
c. 60
d. 120

Answers

I search and found different answers but the nearest is 24

If BS = 9 and AB = 14, what is the measure of AS? Round to the nearest hundredth. Show all your work.

Answers

Answer:

When a radius meets a tangent the angle is always 90° and the length of the radius stays constant

So you can do pythagoras theorem

A2+b2=c2

9^2+14^2=C^2

C= 16.64

C~17

will give brainlist and 30 points

Answers

Answer:

what are you asking

Step-by-step explanation:

what are u asking

A bowl has a radius of 3 inches. What is the circumference of the bowl?

Answers

Answer:

9.42 (sorry if im late)

Step-by-step explanation:

I believe that if you take the radius and multiply it by pi (3.14), you get the circumfrence

3.14 x 3 = 9.42

PLEASE!!!! Help me outtt!!! I’d really appreciate it so much (:

Answers

x = 2

y = -1/2

multiply 1st equation by 2 to get common coefficient

6x + 4y = 10

2x + 4y = 2

‐-------------- subtract equation

4x = 8

x = 2

substitute

3×2 + 2y = 5

6 + 2y = 5

2y = -1

y = -1/2

pls help me i need the answer

4672 x 47 will mark brainlists

Answers

The answer is 4672x47= 219584

Pre Ap Geometry, the circled ones are the ones I need help with!

Answers

Answer:

Yo hope you do not get in trouble for plagiarism

Step-by-step explanation:

Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 80 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 20°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 29. 11 feet 75. 18 feet 128. 67 feet 219. 80 feet.

Answers

Answer:

  (d)  219.80 ft

Step-by-step explanation:

The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(20°) = (80 ft)/(distance to sculpture)

This rearranges to ...

  distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft

A basket of fruit contained 5 oranges, 5 apples, 3 bananas, and 2 grapefruit. What percent of the basket were bananas

Answers

Answer:

20%

Step-by-step explanation:

The percentage score for 3 out of 15 is 20.00%.

Evaluate x/y if x= 4/5 and y= −0.1 . Write your answer in simplest form.

Answers

Answer:

-8

Step-by-step explanation:

given x as 4/5   and y =  - 0.1...

converting x to decimal it becomes 0.8

we then input values for x and y in the equation x/y

x/y =   0.8 /  -0.1  =   -8

The value of the fraction x/y is -8.

Given that, x= 4/5 and y= −0.1.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

To find the value of fraction x/y:

Here, x=4/5 = 0.8

Now, x/y = 0.8/(-0.1)

= -8

Hence, the value of the fraction x/y is -8.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ5

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