What is the value of the product (3 – 2i)(3 + 2i)? 5 9 + 4i 9 – 4i 13

Answers

Answer 1

Answer:

13

Step-by-step explanation:

(3-2i)(3+2i)

as (a+b)(a-b) =a²-b²

3²-(2i)²

=9-(4*-1)

=9-(-4)

=9+4

=13

Hope this helps you!

Answer 2

Answer:

13

Step-by-step explanation:

3^2=9, 2i*(-2i)=-4i^2=4

the 6i and -6i cancel leaving the positive 9 and 4

9+4=13


Related Questions

5
Your mom is making soup. As you walk through the kitchen, you decide to taste it. You take a spoon out
of th drawer and use it to taste the soup. It is so good that you want another bite. Should you use that
same spoon? Why or why not?
Enter your answer(s) here

Answers

Answer:

no, because the spoon has been in your mouth and saliva has been on the spoon, so no you should no.

Answer: It all depends on your preference

Step-by-step explanation:

Depending on your moms and yours preference using the same spoon wouldn't be that bad. Unless you've slobbered all over the spoon, using the same spoon will not effect the soup in any shape or form.

In ΔABC, Cos A = 4/5, cosB = 3/5then a:b:c is

Answers

The ratio is 3:4:5.

Cosine by definition, is adjacent divided by hypotenuse, meaning that the value of the hypotenuse is 5. Then, we are given two other sides that are adjacent to angles A and B, which are 4 and 3 respectively.

This means that there are side lengths 3, 4, and 5, meaning that the ratio of the sides are 3:4:5.

Hope this helps.

頑張って!

357,468 =
thousands 468 ones.
Not what I’m looking for maths

Answers

Answer:

Wrong

Step-by-step explanation:

You must be more specfic about how many 1000's

Solve the equation
3p-2q=5
q-1=3p

Answers

Answer:

p = -7/3 and q = -6

Step-by-step explanation:

3p-2q=5

Substitute q-1 for 3p

q-1-2q=5

-q-1=5

q=-5-1=-6

Substitute the value of q = -6 in q-1=3p

-6-1=3p

3p=-7

p = -7/3

what is the distance between (8,-3) and (4,-7) ?​

Answers

Answer:

The answer is

[tex]4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,-3) and (4,-7)

The distance between them is

[tex]d = \sqrt{ ({8 - 4})^{2} + ({ - 3 + 7})^{2} } \\ = \sqrt{ ({4})^{2} + ( { - 4})^{2} } \\ = \sqrt{16 + 16} \\ = \sqrt{32} [/tex]

We have the final answer as

[tex]4 \sqrt{2} \: \: \: or \: \: 5.656 \: \: \: units[/tex]

Hope this helps you

Which of the following employees has the greatest total employee compensation? a. Employee A: total job benefits $68,100 and total job expenses $100 b. Employee B: total job benefits $68,400 and total job expenses $300 c. Employee C: total job benefits $68,700 and total job expenses $800 d. Employee D: total job benefits $69,000 and total job expenses $1,000

Answers

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

Which of the following employees has the greatest total employee compensation?

a. ))   Employee A: total job benefits $68,100 and total job expenses $100

b. ))   Employee B: total job benefits $68,400 and total job expenses $300  {{{   CORRECT  }}}

c. ))   Employee C: total job benefits $68,700 and total job expenses $800

d. ))   Employee D: total job benefits $69,000 and total job expenses $1,000

Step-by-step explanation:

Edge 2021

A sample of 2,000 people yielded P(hat) = .52. What is the variance of the population proportion?
a. .0056
b. .0161
c. .0112
d. .00012

Answers

Answer:

d. .00012 or 0.00012

Step-by-step explanation:

The variance of the population proportion formula is given as:

p(1 - p)/n

Where n = sample size

p = population proportion or p(hat)

n = 2000 people

p = 0.52

Variance of the population proportion = 0.52(1 - 0.52)/ 2000

= 0.52 × 0.48 /2000

= 0.2496 /2000

= 0.0001248

Therefore the Variance of the population proportion is approximately = 0.00012

CAN SOMONE PLEASE HELP ME ASAP PLEASEEE!!!​

Answers

Answer:

z = 80°

Step-by-step explanation:

The sum of the interior angles would equal to 360°

100° + 60° + 120° = 280°

360° - 280° = 80°

Answer:

z = 80

Step-by-step explanation:

A quadrilateral has angles that sum to 360°

E + C + G + F = 360

100 + 60 + 120 + F = 360

Combine like terms

280 + F = 360

F = 360 - 280

F = 80

We know that ABCD is similar to FECG

This means that the measure of A = measure of F

z = 80

Describe how you would graph a figure that is translated by (x - 4, y + 2).

Answers

Answer:

see explanation

Step-by-step explanation:

Given the translation rule

(x, y ) → (x - 4, y + 2 )

This means subtract 4 from the original x- coordinate and add 2 to the original y- coordinate, that is

a point (4 , - 4 ) → (4 - 4, - 4 + 2 ) → (0, - 2 )

The resulting graph would result in moving input x by --4  horizontally and Output y by +2 vertically.

What is a translation of a point?

Translations are defined by saying how much a point is moved to the left/right and up/down. Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated k units vertically by moving each point on the graph k units vertically.

Given the point  (x - 4, y + 2), we can clearly observe that the graph would move vertically by +2 units while the input will be in the -ve x-axis direction from right to left and thus will move negatively by -4.

Hence, The resulting graph would result in moving input x by --4  horizontally and Output y by +2 vertically.

Learn more about translation of a point here:

https://brainly.com/question/13007985

#SPJ2

A square garden has an area of 100 square feet. What is the perimeter of the garden? show your work.​

Answers

Answer: 40

Step-by-step explanation: 10 • 10 equals 100, so each side is 10. Since a square has 4 sides multiply 4 by 10 which gets you 40.

Perimeter of a square garden is 40.

Here,

A square garden has an area of 100 square feet.

We have to find the perimeter of the square garden.

What is Perimeter of square?

Sum of all four sides of a square is known as Perimeter of a square.

Now,

Let side of a square garden is a.

Area of a square = [tex]side^{2}[/tex] = [tex]a^{2}[/tex]

[tex]a^{2} = 100[/tex]

[tex]a = 10[/tex]

Hence, Perimeter of a square garden = 10 + 10 + 10 + 10

                                                          = 40

So, Perimeter of a square garden is 40.

Learn more about the Perimeter of square visit:

https://brainly.in/question/24292482

#SPJ2

Find the midpoint between A and C.

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(0. \: 5, \: 0.5 \: )}}}}}[/tex]

Step-by-step explanation:

Given,

A ( -2 , 4 )⇒ ( x₁ , y₁ )

C ( 3 , - 3 )⇒ ( x₂ , y₂ )

Finding the midpoint between A and C

[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 2 + 3}{2} \: , \: \frac{4 + ( - 3)}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{4 - 3}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{1}{2} \: , \: \frac{1}{2} }})[/tex]

[tex] \dashrightarrow{( \sf{0.5 \: , \: 0.5) \: }}[/tex]

Hope I helped!

Best regards! :D

21. Chandra is retiling her bathroom floor. Each tile is in the shape of a
square, and is 6.5 inches long. How many square inches does one tile
cover? *
HELPPP

Answers

Answer:

42.25 inches²

Step-by-step explanation:

Given that the tile has a square shape, and each side of the tile is 6.5 inches, the area covered by one tile in square inches = area of square = s².

Where, s = side length of square

Area of 1 tile = 6.5² = 42.25 square inches.

One tile covers 42.25 square inches.

-4 + 5x − 7 = 10 + 3x − 2x what eqauls x

Answers

Answer:

X=21/4, or in simplest form 5.25

Step-by-step explanation:

I will give the brainiest

Suppose x = 7 is a solution to the equation 4x - 2(x + a) = 8. Find the value of a that makes the
equation true.

2
6
3
-25

Answers

Answer:

a=3

Step-by-step explanation:

opening the bracket, we have

4x-2x-2a=8

2x-2a=8

x=7

2(7)-2a=8

14-2a=8

collect like terms

-2a=8-14

-2a=-6

divide both sides by -2

a=3

Which number is less than 2.16? 2.3, 2.09, 2.93, or 2.9

Answers

Answer:

2.09

Step-by-step explanation:

Because:

2.3=2.30

2.9=2.90

and 2.93 is just bigger

therefore your answer is 2.09

Answer:

2.09

Step-by-step explanation:

2.93 > 2.9 > 2.3 > 2.16 > 2.09

2.09 is less than 2.16 mainly due to the fact that 9 is in the hundredths place. 16 is also in the hundredths place, but 9/100 is less than 16/100.

Simply 2p(p+2)-3p(2p-3) =

Answers

Answer:

p (13 - 4 p)

Step-by-step explanation:

Simplify the following:

2 p (p + 2) - 3 p (2 p - 3)

Hint: | Pull a common factor out of 2 p (p + 2) - 3 p (2 p - 3).

Factor p out of 2 p (p + 2) - 3 p (2 p - 3), resulting in p (2 (p + 2) - 3 (2 p - 3)):

p (2 (p + 2) - 3 (2 p - 3))

Hint: | Distribute 2 over p + 2.

2 (p + 2) = 2 p + 4:

p (2 p + 4 - 3 (2 p - 3))

Hint: | Distribute -3 over 2 p - 3.

-3 (2 p - 3) = 9 - 6 p:

p (2 p + 9 - 6 p + 4)

Hint: | Group like terms in 2 p - 6 p + 4 + 9.

Grouping like terms, 2 p - 6 p + 4 + 9 = (4 + 9) + (2 p - 6 p):

p (4 + 9) + (2 p - 6 p)

Hint: | Combine like terms in 2 p - 6 p.

2 p - 6 p = -4 p:

p (-4 p + (4 + 9))

Hint: | Evaluate 4 + 9.

4 + 9 = 13:

Answer: p (13 - 4 p)

0.1.13
Your vacation hotel is only 1068 feet from the historic Colonial Courthouse, but it is mile to the Fine Arts Gallery. Find the difference in the distance between the
Courthouse and your hotel and the Fine Arts Gallery and your hotel in feet. (Note that the units are different.)
The difference in distance is feet.

Answers

Answer:

[tex]Distance = 1572\ feet[/tex]

Step-by-step explanation:

Given

Courthouse = 1068 feet

Gallery = 0.5 mile ----- Missing Part of Question

What the question implies is to

determine the distance between these two locations

This is done as follows:

[tex]Distance = |Courthouse - Gallery|[/tex]

Substitute values for Courthouse and Gallery

[tex]Distance = |1068\ feet - 0.5\ mile|[/tex]

Convert 0.5 mile to feet (1 mile = 5280 feet)

[tex]Distance = |1068\ feet - 0.5 * 5280\ feet|[/tex]

[tex]Distance = |1068\ feet - 2640\ feet|[/tex]

[tex]Distance = |-1572\ feet|[/tex]

[tex]Distance = 1572\ feet[/tex]

Hence, the required distance is 1572 feet

Which of the given values is a solution to the equation −4u+3=4u−5

Answers

Answer:

u=-8

Step-by-step explanation:

-4u+3=4u-5

-4u-4u=-5-3

*Divide U by  four and we are left with U. Add -5+-3 = -8

u=-8

Evaluate g(x) = x2 + 5 given the inputs (-1,0,1,2}

Answers

Answer:

g(-1) = 6

g(0) = 5

g(1) = 6

g(2) = 9

Step-by-step explanation:

Step 1: Plug in -1 for x

g(-1) = (-1)² + 5

g(-1) = 1 + 5

g(-1) = 6

Step 2: Plug in 0 for x

g(0) = 0² + 5

g(0) = 0 + 5

g(0) = 5

Step 3: Plug in 1 for x

g(1) = 1² + 5

g(1) = 1 + 5

g(1) = 6

Step 4: Plug in 2 for x

g(2) = 2² + 5

g(2) = 4 + 5

g(2) = 9

Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103

Answers

Answer:

3.99 10-6

Step-by-step explanation:

This is simply the answer because if you multiply them all out this equation is the smallest number

Answer:

3.99*10^-6

Step-by-step explanation:

Anything taken to a negative power is going to be smaller than the original number because x^-y=1/(x^y). So since 3.99*10^-6 is smaller than 4.4*10^-5, the former is the answer.

Let the universal set be the set of integers and let A​ = {x​ | ​≤ 5}. Write A using the roster method.

Answers

Answer: A = {..., -1, 0, 1, 2, 3, 4, 5}

Step-by-step explanation:

We have that the set A is the set of all the integers equal to or smaller than 5.

To write in the Roster Method, we must list all the elements of this set, but we know that this set extends to minus infinity, then we should start with an ellipsis:

A = {...

Which means that it continues in that direction.

Then we can implicitly write the end of our set, and also some of the points so we can know the relation between the points in the set.

A = {..., -1, 0, 1, 2, 3, 4, 5}

And that is the set A in written with the Roster Method

Identify each of the following variables as categorical or quantitative.(a) Blood type of a randomly selected person. (b) Amount of snow (in inch) of the next snow storm in Ottawa (c) Daily exchange rate of Canadian dollar versus US dollar (d) The number of car accidents in Ottawa area tomorrow

Answers

Answer:

Step-by-step explanation:

A

Can you solve the equation 3/4(6x+9)=14 by using the divison property of equality.

Answers

Answer:

x=28/9 t- 3/2

Step-by-step explanation:

i hope this helps x= 83/18

Please answer the question in the photo.

Answers

Answer: Choice B

The equation is sometimes true. When x = 0, 1 or -1, then the equation is true. Otherwise, the equation is false.

====================================================

Explanation:

When it comes to something like "always true" all we need is one counter example to break that statement. Pick something like x = 64 and you'll find that the left hand side becomes

[tex]x^{1/3} = 64^{1/3} = \sqrt[3]{64} = \sqrt[3]{4^3} = 4[/tex]

while the right hand side turns into

[tex]x^3 = 4^3 = 4*4*4 = 64[/tex]

This means the original equation [tex]x^{1/3} = x^3[/tex] updates to [tex]4 = 64[/tex] after plugging in x = 4. We get a false statement making the original statement false when x = 4. So saying  "[tex]x^{1/3} = x^3[/tex] is always true" is not correct.

----------------------

The equation is only sometimes true for the x values 0, 1 and -1

Let's try x = 0

[tex]x^{1/3} = x^3\\\\0^{1/3} = 0^3\\\\0 = 0[/tex]

we get a true statement confirming x = 0 as a solution

Trying x = 1 leads to

[tex]x^{1/3} = x^3\\\\(1)^{1/3} = 1^3\\\\1 = 1[/tex]

also true. A similar situation happens with x = -1 as well, just that we have negatives this time.

three less than the product of six and an unknown number is the same as the product of three and the sum of the number and two

Answers

Answer:

6x - 3 = 3(x + 2)

Step-by-step explanation:

Which expression is equivalent to the given expression? 2x - 11x-6 A. 2(x – 3) (x + 1) B. (2x + 3)(x- 2) C. (2x+ 1)(x- 6) D. 2(x + 3)(x- 2)​

Answers

Answer:

Option C. (2x + 1)(x - 6)

Step-by-step explanation:

To know which option is equivalent to 2x² - 11x - 6, we shall simplify the expression as follow:

2x² - 11x - 6

Multiply the 1st term (i.e 2x²) and last term (i.e - 6) together. This is illustrated below:

2x² × - 6 = - 12x²

Next, find two factors of - 12x² such that when we add them together, it will result to the 2nd term (i.e - 11x) in the expression above.

The factors are x and - 12x

Next, replace - 11x with x and - 12x in the expression 2x² - 11x - 6 as shown below:

2x² - 11x - 6

2x² + x - 12x - 6

Next, we shall factorise the expression 2x² + x - 12x - 6 as follow:

2x² + x - 12x - 6

x(2x + 1) - 6(2x + 1)

(2x + 1)(x - 6)

Thus,

2x² - 11x - 6 is equivalent to (2x + 1)(x - 6)

43% of 300 is what number

Answers

129
Find 10% (30) then times by 4 to find 40% (120)
Find 1% (3) then times by 3 to find 3% (9)
Add the 40% to the 3% (120 + 9)
= 129

Distribute the negative sign: -(x - 6y)

Answers

Answer:

-x + 6y.

Step-by-step explanation:

-(x - 6y)

= -1*x -1*-6y

= -x + 6y

Which expression shows 7 more than the product of 8 times 9?

Answers

Answer:

Step-by-step explanation:

7 more than the product of 8 times 9

product of 8 times 9 = 8 × 9 = 72

7 more than the product of 8 times 9 = 72 + 7 = 79

Hope this helps

plz mark as brainliest!!!!!!!!!!

HELLLLLPPPPPPP PLZZZZZZ HELP A$AP PLZZZZZZZZZ I WILL MARK BRAINLEST

Answers

ummm you didn’t put no question ma’am.

Answer:

what do you need help with i dont see the question

Step-by-step explanation:

Other Questions
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