The product (5+ i) (5 – i) is a real number, 26. What are the factors (5 + i) and (5 – i) called? (1 point)
o complex numbers
O imaginary units
complex conjugates
O imaginary numbers
please help :( suck at math all the way

Answers

Answer 1

Answer:

complex conjugates

Step-by-step explanation:

The factors (5 + i) and (5 – i) are called complex conjugates.

Answer 2

Answer:

complex conjugates

Step-by-step explanation:

Numbers of the form a+ bi and a - bi are complex conjugates.

Their product is real.


Related Questions

Which is the correct label for the volume of a solid figure?

units squared (i.e. m2)


units cubed (i.e. m3)

Answers

Answer:

Volume is units cubed

area is units squared

Units cubed will be the correct label.

We have a solid figure.

We have to determine the correct unit of labelling for this figure.

What is difference between Area and Volume?

An area is a two - dimensional quantity that encloses all two -dimensional coordinate points using a single dimensional entity. Example - circle.

Volume is a three - dimensional quantity that encloses all the points in the three - dimensional space using a two - dimensional entity.

The volume makes use of three different dimensions to enclose points inside it. Due to this we cannot label the unit as units squared as it represents only two dimensions ([tex]m^{2}[/tex]), whereas units cubed represents three dimensions ([tex]m^{3}[/tex]).

Hence, units cubed will be the correct label.

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A square has a perimeter of 8 and one vertex at (2, 2). What could be the location of another vertex of this shape? A) (1, 5) B) (-2, 2) C) (2, 3) D) (0, 0)

Answers

Answer:

D) (0,0)

Step-by-step explanation:

It is a square so each side is 2 units because

8/4 = 2

If the first point is at (2,2) we need to find which other point is 2 away from the first one. Or two away from where that point would be since there are 3 other corners.

We can rule out A and C because they are an odd number away. B is too far away because he's distance is 4.

So the other point is (0,0)

D 0, 0 hopefully you got it right good luck

In three years, 30% of a radioactive element decays. Find its half-life. (Round your answer to one decimal place.) yr

Answers

Answer:5 years

Step-by-step explanation:

Answer:

5 years

Step-by-step explanation:

in three years 30%

so in one year 10%

For half life time- 50%

so half life time years- 5 years..

Find the measure of b.

Answers

Answer:

measure A is half 110

measure B is (180-A)

so A is 55 , and B is 125

Answer:

measure A is half 110

measure B is (180-A)

so A is 55 , and B is 125

Step-by-step explanation:

The Cleveland Art Institute has eight paintings by a local artist they plan to display. If the paintings are hung in one horizontal line, how many different ways can they be arranged if order is important? A.10,880 B.20,160 C.1 D.40,320

Answers

Answer:

40320 ways

Step-by-step explanation:

Given

Paintings = 8

Required

Determine the number of arrangements

From the question, we understand that the order of arrangement matters;

This implies permutation and is calculated as thus;

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

In this case,

[tex]n = 8[/tex]

[tex]r = 8[/tex], because all paintings are hung;

Substitute 8 for n and r, respectively

[tex]^8P_8 = \frac{8!}{(8-8)!}[/tex]

Evaluate the denominator

[tex]^8P_8 = \frac{8!}{0!}[/tex]

[tex]^8P_8 = \frac{8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{1}[/tex]

[tex]^8P_8 = 40320[/tex]

Hence, the number of arrangement is 40320 ways

40320 bro gotchu bruh

Please help ASAP !!!!!!!!!!

Answers

Answer:

a) Grocery Store: $9.71

b) Other purchases: $6.71

Step-by-step explanation:

a) 485.72 x 0.02 = 9.71

b) 671.28 x 0.01 = 6.71

Don't forget the labels!!

Grocery purchase : $9.71
Other purchase : $6.71

Which expression can be used to find the surface area of the following triangular prism? *picture of a triangular prism* Choose 1 answer: (Choice A) 24+24+ 120+160+20024+24+120+160+20024, plus, 24, plus, 120, plus, 160, plus, 200 (Choice B) 24+20024+20024, plus, 200 (Choice C) 24+24+200+120+12024+24+200+120+12024, plus, 24, plus, 200, plus, 120, plus, 120 (Choice D) 48+48+120+160+20048+48+120+160+200

Answers

Answer:

A. 24+24+120+160+200

Step-by-step explanation:

Surface area of the triangular prism= addition of the area of each shape that forms the prism

There are two triangles

Area of a triangle=1/2*base*height

=1/2*8*6

=1/2*48

=24

Area of two triangles=24+24

There are 3 rectangles with different dimensions

Back rectangle=length×width

=20×6

=120

Bottom rectangle=length ×width

=20x8

=160

Top rectangle=length × width

=20×10

=200

Surface area =Area of two triangles + Back rectangle + Bottom rectangle + Top rectangle

=24+24+120+160+200

A: 24+24+120+160+200 :)

Trish entered a problem on her calculator that gave her this result on the screen: “0.1894528...”. Would this decimal be considered a repeating decimal? Why or why not?

Answers

No, there is no pattern of repetition.

The decimal 0.1894528 is not a repeating decimal.

What is the decimal number?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The numbers are first in fractions and then divided by the number to give a decimal number.

The given decimal number is “0.1894528. In the decimal number if the numbers are repeating then it is called the repeating decimal number if the numbers are not repeating then it is called a nonrepeating decimal number. Here the given decimal is nonrepeating decimal.

Therefore, the decimal 0.1894528 is not a repeating decimal.

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Maria has $20 to buy fish for her aquarium. Each goldfish costs $3. How
many goldfish can she buy?

Answers

Answer:

6

Step-by-step explanation:

$20/$3 = 6.666...

We need to round down to 6.

Answer:

She can get 6 gold fish

Step-by-step explanation:

Take the amount of money and divide by the cost of the gold fish

20/3 = 6 with 2 dollars left over

She can get 6 gold fish

40 POINTS!!!!!!!! WILL MARK BRAINLEST!!!!! 3. Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916. (a) What reasons might Sherelle give for saying that the 1916 coin is most likely in her bag? (b) What reasons might Venita give for saying that the 1916 coin is most likely in her bag? (c) Whose bag do you think is more likely to contain the 1916 coin? Explain your reasoning.

Answers

Answer:

Given : Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916

To find : What reasons might sherelle give for saying that the 1916 coin is most likely in her bag?

What reasons might venita give for saying that the 1916 coin is most likely in her bag?

Solution:

Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72

arranging in order

26, 39,  56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72 , 73, 74, 75, 81, 83, 84, 85  

Median = (68 + 71)/2 = 69.5

Q1 = 61

Q3 = 74.5

IQR = 13.5

Sherelle claims  that she has 26  which is closer to 16 hence her chances are more.

Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62

arranging in order

44, 45, 51, 51, 53, 53, 55, 57, 58, 62 ,65, 66, 69, 69, 70, 73, 75, 77, 78, 79

Median =  63.5

Q1 = 53

Q3 = 71.5

IQR = 18.5

IQR of Venita is High

so there are more chances that Sherelle will be having higher spread hence chances of having 16 in data Set is More

If Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Sherelle might say that she remembers seeing an old coin in her bag earlier and that she rarely removes things from her bag.

She might also argue that she has not used her bag as frequently as Venita, so the coin is more likely to be in her bag.

Venita might argue that she has used her bag more frequently than Sherelle, so the coin is more likely to be in her bag.

She might also say that she has checked her bag multiple times and has not seen the coin, so it must be in Sherelle's bag.

if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

On the other hand, if the coin was recently added to one of the bags, then Venita's bag could also be a likely candidate.

Hence, if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

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Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angles complement?

Answers

Answer:

In a right triangle, the sine of one acute angle, A, equals the cosine of the other acute angle, B. Since the measures of these acute angles of a right triangle add to 90º, we know these acute angles are complementary. ∠A is the complement of ∠B, and ∠B is the complement of ∠A.

Step-by-step explanation:

is there any answer choices i can see? :)

Charlene is wrapping the box below. How much wrapping paper will she need? A. 186 in.^2 B. 372 in.^2 C. 480 in.^2 D. 558 in.^2 Please include work!

Answers

Answer:

372 in ^2

Step-by-step explanation:

Wrapping a present is surface area

SA = 2( lw+wh+hl)

    = 2 ( 12*3 + 12*10 + 3*10)

   = 2 ( 36+120+30)

   = 2 (186)

   = 372 in ^2

372^2 jhope this helps

Two boxes can hold the same amount of sand. Box 1 is 1/4 filled and box 2 is 2/3 filled. If the sand in box2 is poured into box 1, what is the fraction of box 1 still not filled a.1/12 b.3/7 c.4/7 d.11/12

Answers

Answer:

d.11/12

Step-by-step explanation:

1/4x3=3/12

2/3x4=8/12

3/12+8/12=11/12

The answer should be D hope I helped and good luck

Can someone please help me out? I'd really appreciate it.

Answers

Answer:

The scaling factor is 4.

Step-by-step explanation:

To find the scaling factor from A to B, we must know that these are similar triangles.  Since this is not stated in the problem, we will assume these are similar triangles.

Similar triangles simply have the same scaling ratio, allowing for any size triangle to be created with the same relative dimensions.  With this in mind, let's check to see the multiple of each side by simply taking the sides of the triangle B divided by the sides of triangle A.

40 / 10 = 4

44 / 11 = 4

72 / 18 = 4

Notice how each of the sides from triangle B to triangle A has the same multiple, 4.  This tells us that the scale from A to B is 4.

Hence, the scaling factor is 4.

Cheers.

457092789 is the answer

Help and show work plz

Answers

Answer:

NQ=15, NP=20

Step-by-step explanation:

9/(2x+1)=12/(3x-1)

cross product

12(2x+1)=9(3x-1)

24x+12=27x-9

12=27x-24x-9

12=3x-9

3x=12+9

3x=21

x=21/3

x=7

NQ=2x+1=2(7)+1=15

NP=3x-1=3(7)-1=21-1=20

Answer:

x = 7

Step-by-step explanation:

Since the triangles are similar the ratio of the sides must be the same

AB           AK

------- = --------------

QN            NP

9                12

---------- = ------------

2x+1             3x-1

Using cross products

9(3x-1) = 12(2x+1)

Distribute

27x -9 = 24x +12

Subtract 24x from each side

3x-9 = 12

Add 9 to each side

3x = 21

Divide by 3

x = 7

Solve x*2+5x+6=5x+10

Answers

Answer:

x = -2, 2.

Step-by-step explanation:

x*2 + 5x + 6 = 5x + 10

x^2 + 5x - 5x + 6 - 10 = 0

x^2 - 4 = 0

x^2 = 4

x = -2, 2 ( 2 solutions).

Answer for this question is X= -2

Help Resource
Find the total surface area of the
following square pyramid:
4 cm
6 cm
SA = [?] cm2

Answers

Answer:

64 cm^2

Step-by-step explanation:

I assume the side of the base measures 4 cm, and the height of each triangular side (the slant height) is 6 cm.

SA = s^2 + 4 * bh/2

SA = (4 cm)^2 + 2(4 cm)(6 cm)

SA = 16 cm^2 + 48 cm^2

SA = 64 cm^2

i’ll mark you brainliest and give more points, please show workkkk

Answers

Answer:

10.5% compounded quarterly will be worth more at the end of 7 years.

Step-by-step explanation:

Investment 1:

Principal=$1,000

t=7 years

n=12 months

r=9%=0.09

FV=PV(1+r/n)^nt

Where,

FV=future value

PV=present value

r=interest rate

t=time (years)

n=number of periods

FV=PV(1+r/n)^nt

=1000(1+0.09/12)^12*7

=1000(1+0.0075)^84

=1000(1.0075)^84

=1000(1.8732)

=1,873.2

FV=$1,873.2

Investment 2:

Principal=$1,000

t=7 years

r=10.5%=0.105

n=4

FV=PV(1+r/n)^nt

=1000(1+0.105/4)^4*7

=1000(1+0.02625)^28

=1000(1.02625)^28

=1000(2.0658)

=2,065.8

FV=$2,065.8

10.5% compounded quarterly will be worth more at the end of 7 years.

The answer is 8 decimals one the top
& 9 on the bottom

Follow the process of completing the square to solve x^2 - 10x + 8 = 0. What is the value of the constant that will be isolated on the right side of the equation in step 3? A.-8 B.-12 C.-32

Answers

Answer:

A. -8

Step-by-step explanation:

[tex]x^2-10x+8=0[/tex]

then we subtract 8 from both sides

[tex]x^2-10x+8-8=0-8[/tex]

[tex]x^2-10x=-8[/tex]

The value on the right side is -8 in the process of completing the square.

Answer:

A. -8

Step-by-step explanation:

In a Euler diagram, “No X are Y” would be represented how?

Answers

Answer: Two separated circles, one called X and the other called Y.

(so there is no element of the set X that is also in the set Y)

Step-by-step explanation:

"No X are Y"

This means that there is not a single element in the set X that is also in the set Y.

So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.

This particular case is represented similarly to how you would represent it in a  Venn diagram

If you have a problem that has multiple variables, you can solve it using a
system of equations. Think of a real-world example where you would need
to solve using a system of equations. Write two or three sentences
describing your example. Include the equations in your description, but do
not solve the system. That will be left to your classmates. helppppp

Sam weighed his dog. He rounded the weight to the nearest tenth of a pound to get 18.6 pounds. Which could have been the actual weight of Sam's dog?

Answers

Answer:

18.55 <=  wt < 18.65

In other words, the dog could weigh anywhere from 18.55   up to , but not including  18.65  lbs

Step-by-step explanation:

Answer:

every thing that is 18.55 and after it until 18.64

Step-by-step explanation:

so that will be 18.55,18.56,18.57,18.58,18.59,18.6,18.61,18.62,18.63,18.64

those are all numbers that could be sams weight

One root of a quadratic that has real coefficients is 2-3i. What is the other root?

Answers

Answer:

2+3i

Step-by-step explanation:

imaginary roots come in pairs

The answer to this question is (2+3i)

Which of the following numbers is divisible by 24 ? (A) 13,944 (B) 15,746 (C) 15,966 (D) 16,012 (E) none of the above

Answers

Answer:

Only A is divisible by 24.

Step-by-step explanation:

A number is divisible by 24 if it's divisible by both 3 and 8.

Numbers are divisible by 3 if all their digits add to a multiple of 3, and numbers are divisible by 8 if the last 3 digits are divisible by 8.

Let's look at A, 13944. The numbers add up to [tex]1+3+9+4+4=21[/tex], which is divisible by 3.

944 is divisible by 8, and it makes 118.

So A works.

B is 15746.

[tex]1+5+7+4+6=23[/tex], so this won't work as 23 isn't divisible by 3.

C is 15966.

[tex]1+5+9+6+6=27\div3=9[/tex], so this works for 3 but let's check 8.

[tex]966\div8=120.75[/tex] so it's not divisible by 8, therefore not divisible by 24.

D is 16012.

[tex]1+6+0+1+2=10[/tex] and 10 isn't divisible by 3, so it doesn't work.

Hope this helped!

The only divisible is option A.13944 cause = 1+3+9+4+4 =21
21 which is divisible by 3
944 is divisible by 8 and it makes 118

Write the equation for the following table:

x. y.
____
0 7
1 16
2 19
3 16

Answers

Answer:

B

Step-by-step explanation:

I think the answer is B

PLEASE HELP FOR FINAL!! H(x)= -|x+1| + 3

Answers

Answer:

H(2)= 0 , so x = 2 is the correct answer

Step-by-step explanation:

Given:

H(x)= -|x+1| + 3

Computation:

By putting x = 0,1,2

H(x)= -|x+1| + 3

H(0)= -|0+1| + 3

H(0)= -1 + 3

H(0)= 2

H(x)= -|x+1| + 3

H(1)= -|1+1| + 3

H(1)= -2 + 3

H(1)= 1

H(x)= -|x+1| + 3

H(2)= -|2+1| + 3

H(2)= -3 + 3

H(2)= 0

the answer is x=2 i hope i can help

LO bisects NLM, Lm = 22, NO = 6, and LN = 14. What is the approximate value of x? A. x = 3.8 B. x = 9.4 C. x = 51.3 D. x = 73.3

Answers

14/6 = 22/x

Cross multiply:

14x = 132

Divide each side by 14

x = 9.4

The answer is x= 9.6

Please help As soon as possible!

Answers

Answer:

10

Step-by-step explanation:

To find the area of a parallelogram you need to use the expression A = bh

When you plug that in it will be 120 = 12b

After this, you need to solve (10)

Area: 120
Height: 12
Base: x
Base • height = area
120/12= 10
ANSWER: 10

what is the domain of the function shown in the graph below?
Answer type: interval, all real numbers, all values except one, all values except two
interval:

Answers

Answer:

All except one interval [-2,8]

Step-by-step explanation:

Notice that the function, wich an hyperbola, has a vertical asymptote in both -2 and 8 and there is nothing between this two values.

So we will exclude what's between them out of the domain.

If my income is €15 every 2 weeks how much money will I have in 3 months

Answers

Answer

90

Step-by-step explanation:

If for 2 weeks there are 15 then there are 4 weeks in 1 month = €30 + €30 + €30 = €90

First multiply 4 by 3 as there are 4 weeks in every month (4 x 3 = 12).

Then divide that amount of weeks (12) by 2 as you are only getting paid every two weeks (12 / 2 = 6).

Then multiply your income by the amount of weeks you’re paid (6 x €15 = €90)

Answer = €90

On thursday morning, a shop has 468 customers.314 were women and 75 were children.

a) What percentage were women?

b) What percentage were *not* children​

Answers

Answer: A) 67[tex]\frac{11}{117}[/tex] (or) 67.09

              B) No. of people neither children nor women

                  = 468-(314+75)

                  = 79

                  = [tex]\frac{79}{468}[/tex]*100

                  = 16[tex]\frac{103}{117}[/tex] (or) 16.88

I hope it helps. Have a great day :)

Answer:

a) =  67.10 % or 67.09%

b) = 84.10% or 83.97%

Step-by-step explanation:

a = (314/468)*100 = 67.094017094 %

b = (393/468)*100 = 83.9743589744 %  (edited 393)

To find b we have to can use simple subtraction to find Men = m = ?

If Women = w = 314  and Children = c = 75

Eliminate the (w = 314) with (c=75) from total to find (m=?)

w+c+m= 468

c+m = 468-w = 468-314 = 154

m = 154-c = 154-75 = 79

m = 79

b) Total sum that were not children = w+m = 314 + 79 = 393

or = 468-314 = 154

then 154 - 79 = 75

with = 468-75 = 393

then find percentage;

(393/468) * 100 = 83.9743589744

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