Let t = 4 and u = 6 + 2i. Find t – u

Answers

Answer 1

Step-by-step explanation:

t = 4

u = 6 + 2

Find t - u

solu

t - u

= 4 - ( 6 + 2 ) = 4 - 8

Answer is -4

Answer 2

The value of t-u is -2(1+i).

What is a complex number?

The complex number is basically the combination of a real number and an imaginary number.

How to subtract two complex number?

For the subtraction of two complex numbers we subtract real part from the real and imaginary from imaginary.

According to the given question.

We have two complex numbers

t = 4 + 0i and u = 6 + 2i

Therefore,

[tex]t - u = 4+ 0i - ( 6 + 2i)[/tex]

⇒[tex]t - u = 4 + 0i - 6 - 2i[/tex]

⇒[tex]t - u = -2 -2i[/tex]

⇒[tex]t - u = -2(1+i)[/tex]

Hence, t - u = -2(1 + i).

Find out more information about complex numbers here:

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Related Questions

A game company gave each customer one game to test and asked whether he or she would recommend the game. What is the probability that a customer who would recommend his or her game tested Game A?

Answers

Answer:

1/2 = 0.5

Step-by-step explanation:

Given that the game company gave each customer a single game for testing

There is definitely just two outcomes, i.e. the customer will either recommend the game or Not recommend the game.

since we do not have additional information regarding what might influence the decision of the customer, hence the probability of either recommending the tested game or not recommending the game will be equal

∴P ( recommending tested game ) = 1 - 0.5 = 0.5

The net below represents a container.
What solid figure is represented by the net?

Answers

Answer:

Triangular prism

Step-by-step explanation:

Triangle baces and Rectangle sides make a Triangular prism.

if x+y=12 and xy=27 . find x^3+y^3
pls help with steps ​

Answers

Answer:

Step-by-step explanation:

use formula

x^3+y^3=(x+y)^3-3*x*y(x+y)

=12^3-3*27(12)

=1728-972

=756

Answer:

x^3 + y^3 = 756

Step-by-step explanation:

Given that,  x+y=12 and xy=27

We know that,

[tex]( x + y )^3 = x^3 + y^3 + 3xy(x + y)[/tex]

∴ [tex]12^3 = x^3 + y^3 + 3 * 27 * 12[/tex]

[tex]=> 1728 = x^3 + y^3 + 972[/tex]

[tex]x^3 + y^3 = 1728 - 972[/tex]

[tex]==> x^3 + y^3 = 756[/tex]

evaluate2x
X= 5 -3
-4 2​

Answers

Answer :

Evaluate

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 2 i √ 5 , − 2 i √ 5

Step-by-step explanation:

Round 1.3185 to 1 decimal place

Answers

Answer:

1

Step-by-step explanation:

Because 1.38185 is below 1.5 so it rounds to 1

the answer to the question is 1

Find the value of y when x=3.
y=10-3x
y=

Answers

Answer:

10

Step-by-step explanation:

can I have help, please

Answers

The median is 64 miles per hours

Mhanifa please help! If I don’t get this done I will fail this class :(

Answers

Answer:

#1

x/9 = tan 60°x = 9 tan 60° x = 15.6 m

#2

cos θ = 15.1/16.5cos θ = 0.915θ = arccos (0.915)θ = 23.8°

#3

10/x = tan 42°x = 10 / tan 42°x = 11.1 m

What is the approximate area of a circle with a diameter of 10 in?

A. 314 in2
B. 78.5 in2
C. 31.4 in2
D. 15.7 in2

Answers

Answer:

Hello! answer: 78.5 in2

Step-by-step explanation:

IMPORTANT ATTENTION: Im using 3.14 for pi so answers might vary if you are using say 22/7 for pi so please know that since this problem doesn't tell to use a certain method I will use 3.14

area can be found by doing radius × radius × 3.14 so... diameter is just twice the radius so... 10 ÷ 2 = 5 5 × 5 = 25

25 × 3.14 = 78.5 therefore 78.5 is the answer HOPE THAT HELPS!

The approximate area of a circle with a diameter of 10 in is,

⇒ Area of circle = 78.5 in²

Given that;

Diameter of circle = 10 in.

Now, We know that;

Area of circle = πr²

Where, 'r' is radius of circle.

Here, Diameter of circle = 10 in.

Hence, Radius = 10 / 2 = 5 in

Thus, We get;

⇒ Area of circle = πr²

Area of circle = 3.14 x (5)²

⇒ Area of circle = 78.5 in²

Thus, The approximate area of a circle with a diameter of 10 in is,

⇒ Area of circle = 78.5 in²

Learn more about the circle visit:

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(NR) Natural Resources:Question 10
Which statement best describes why large aquifers of groundwater are distributed unevenly
around the earth?

Answers

Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.

In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.

Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.

Find the roots of the Equation 16+x^2=0

Answers

Answer:

x = 0   or   x = - 16

Step-by-step explanation:

16+x^2=0

x ( x + 16 ) = 0

using the algebra rule a . b = a = 0 and b = 0

x = 0    or   x = - 16

so the answer is  x = 0 and x = -1 6

Mark brainliest plsssssssssss

Amelia needs to buy some dog food. At the nearest​ store, 2 bags of dog food cost $7.50. How much would Amelia spend on 5 bags of dog food?

Answers

Answer: $18.75

Step-by-step explanation: Each bag cost $3.75 individually.

HIE
YA
HHHHHHHH111111111111
Use the calculator to fill
in the table & graph for
the equation y=3x - 2.
6
5
у
3
2
1
1 2 3 4 5 6
0
-6-5-4-3-2-1
-11
-2-
-3
1
2
-5
-6
3
Students, draw anywhere on this slide!

Answers

Answer:

y = 3x-2

Step-by-step explanation:

Which question is a statistical question? A Which U.S. States have mountains?Which U.S. States have mountains? B Which mountain range do U.S. Citizens most enjoy visiting?Which mountain range do U.S. Citizens most enjoy visiting? C How many mountain ranges are in the U.S.?How many mountain ranges are in the U.S.? D How tall is the tallest mountain in the U.S.?

Answers

Answer: C. How many mountain ranges are in the U.S.

Step-by-step explanation:

A statistical question first of all has to have a quantitative response i.e., answers should be in numbers.

The only two questions here that would yield a numeric answer are options C and D.

Furthermore, a statistical question has variability in it which means that the answer is based on multiple observations not just one. The observations in option C are mountain ranges and as the question requires finding out details about multiple mountain ranges, this is a statistical question.

This is opposed to option D which addresses issues surrounding just one mountain.

I need help with these too if you help me and graph and tell it how did you get the answer I will give you 20 points.

Answers

Answer:

I only know number 11 sorry :(

11. (Image attached)

Step-by-step explanation:

First, I would find the y intercept, which is 4. Next I found the slope of -3 by finding the rise of -3 (3 to left), then the run (1 up).

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

Have a good day :)

The perimeter of a regular pentagon is 60 meters. How long is each side of the
pentagon?

Answers

Answer and Step-by-step explanation:

To find out how long each side is, divide 60 by 5 (since there are 5 sides in a pentagon).

60 divided by 5 = 12.

Each side is 12 meters long.

#teamtrees #PAW (Plant And Water)

Find the surface area. 10 ft 3 ft 5ft​

Answers

Answer:

5.7 feet i think

Step-by-step explanation:

which expression is equivalent to 4+x+x+2x+5+3+x?
A.17x
B.5x+14
C.4x+14
D.2x+15x

Answers

the answer is b 5x+14

[tex]\boxed{B.\:5x\:+\:12}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]4 + x + x + 2x + 5 + 3 + x \\ = (x + x + 2x + x) + 12 \\ since \: they \: are \: like \: terms, \: we \: can \: add \: them \\ = 5x + 12[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Represent root 2 on the number line

Answers

Look at the both picture.

A line, line segment, or ray that intersects a line segment at its midpoint is a segment bisector. True or fals?

Answers

Answer:

true.

Step-by-step explanation:

hope this helps, i looked it up :)

True
Because I did this already and got right

What is the 46th term of the arithmetic sequence shown below? -1,-5,-9,-13,-17,-21,...

Answers

Answer:

-181

Step-by-step explanation:

According to the arithmetic calculator, it should be this.

a person jogs 1/6 mile in 1/42 hour. what is the person's speed in miles per hour

Answers

So normally you would take the amount of miles and divide it by the hours to get a simple miles per hour.

Division of two fractions can be made easier by flipping the second fraction, and changing the operation to multiplication.

(1/6) / (1/42)
= (1/6) x (42/1)

From then, it is simply top x top, bottom x bottom.

= 42/6

Complete the division

= 7/1
= 7 miles per hour

Match each series with the equivalent series written in sigma notation

Answers

Answer:

[tex]3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n[/tex]

[tex]4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n[/tex]

[tex]2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n[/tex]

[tex]3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Match equivalent expressions

Solving (a):

[tex]3 + 12 + 48 + 192 + 768[/tex]

The expression can be written as:

[tex]3 \to 3*4^{0[/tex] --- 0

[tex]12 \to 3 * 4^{1[/tex] ---- 1

[tex]48 \to 3 * 4^{2[/tex] --- 2

[tex]192 \to 3 * 4^{3[/tex] ---- 3

[tex]768 \to 3 * 4^{4[/tex] ---- 4

For the nth term, the expression is:

[tex]Term = 3 * 4^{n[/tex] ---- n

So, the summation is:

[tex]3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n[/tex]

Solving (b):

[tex]4 + 32 + 256 + 2048 + 16384[/tex]

The expression can be written as:

[tex]4 \to 4 * 8^0[/tex] --- 0

[tex]32 \to 4 * 8^1[/tex] ---- 1

[tex]256 \to 4 * 8^2[/tex] --- 2

[tex]2048 \to 4 * 8^3[/tex] ---- 3

[tex]16384 \to 4 * 8^4[/tex] ---- 4

For the nth term, the expression is:

[tex]Term \to 4 * 8^n[/tex] ---- n

So, the summation is:

[tex]4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n[/tex]

Solving (c):

[tex]2 + 6 + 18 + 54 + 162[/tex]

The expression can be written as:

[tex]2 \to 2 * 3^0[/tex] --- 0

[tex]6 \to 2 * 3^1[/tex] ---- 1

[tex]18 \to 2 * 3^2[/tex] --- 2

[tex]54 \to 2 * 3^3[/tex] ---- 3

[tex]162 \to 2 * 3^4[/tex] ---- 4

For the nth term, the expression is:

[tex]Term \to 2 * 3^n[/tex] ---- n

So, the summation is:

[tex]2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n[/tex]

Solving (d):

[tex]3 + 15 + 75 + 375 + 1875[/tex]

The expression can be written as:

[tex]3 \to 3 * 5^0[/tex] --- 0

[tex]15 \to 3 * 5^1[/tex] ---- 1

[tex]75 \to 3 * 5^2[/tex] --- 2

[tex]375 \to 3 * 5^3[/tex] ---- 3

[tex]1875 \to 3 * 5^4[/tex] ---- 4

For the nth term, the expression is:

[tex]Term \to 3 * 5^n[/tex] ---- n

So, the summation is:

[tex]3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n[/tex]

Help, please!! I don’t have much time

Answers

Answer:

B.

Step-by-step explanation:

how to solve 6x - 9 - 2 (1 - x) = x + 9​

Answers

[tex]x = 2.857[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢  x = \frac{20}{7} \\ ⇢ x = 2.857[/tex]

[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]

[tex]6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times( - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\ ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S [/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

HELP PLEASEEEEEEE
Suppose x = 7 is a solution to the equation 4x – 2(x + a) = 8.
Find the value of a that makes the equation true.
-25
2
3
6

Answers

=> 4(7)–2(7+a)=8

=>28–142a=8=>14–2a=8=>-2a=8–14=>-2a=-6=>a=3


Find the value of x in the figure.
570
(x+23)°
x =

Answers

Answer:

Step-by-step explanation:

Assuming you meant

570=(x+23)

570-23=x

547 = x

If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people, what is the density of people in the city?
Group of answer choices

A. We cannot calculate this value.

B. 1000 people per square mile

C. 1 person per square mile

D. 100 people per square mile

Answers

Answer:

A. We cannot calculate this value.

Step-by-step explanation:

Had it on my test c:

We cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.

What is population density?

It is defined as the ratio of the population to the total area. The population density represents the average number of people living on each square unit.

We have:

If you live in a rectangular city that is 1 mile along the southern border and contains 1000 people,

As we know,

population density = number of people/area of the region

As we have a rectangular city,

The area of the city = length×width

Width is not given so we cannot find the area of the region.

Thus, we cannot calculate this value because the width is not given so we cannot find the area of the region option (A) is correct.

Learn more about the population density here:

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Please help with this, will give brainliest.

Answers

Answer:

Its A y=3

Step-by-step explanation:

Answer:

A- y=3

Step-by-step explanation:

3x+4y=30

3x+5y=33

-3x+-4y=-30

3x+5y=33

-4y=-30

5y=33

y=3

ASAP
-WILL MARK BRIANIST
thank you <3

Answers

Answer:

d

Step-by-step explanation:

D
12-x
12 less than x which than equals whatever number
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