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).

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Related Questions

Which of the following best describes the situation below?
The number of miles a car can run depends on the gallons of gasoline in the
tank.

Answers

Answer:

Step-by-step explanation:

please help me quick will give any award​

Answers

x = 90°

Likh ke lele, Fuddu Question tha ye

Evaluate the expression when x = 4 and y = 5.

3x2 + 4yº.x-1


Answers

Answer:

49

Step-by-step explanation:

Plug in 4 for x and 5 for y

[tex]3x^{2}+4y^{0}*4^{-1} \\3*4^{2} +4*5^{0}*4^{-1} \\3*16+4*5^{0}*4^{-1} \\[/tex]

PLS HELPP FIRST TO BE CORRECT WILL GIVE BRANLIEST!!


Answers

Answer:

Step-by-step explanation:

BaF2 + Na2S = 2 NaF + BaS

please help!! I'm stuck on this

Answers

Answer:

D

Step-by-step explanation:

According to the volume formula, you multiply length x width x height

Answer:

D; 1*9*4

Step-by-step explanation:

Since the formula for the volume of a rectangular prisim is L*W*H (length times width times height), it would be 9*4*1. However, since the order doesn't matter (due to the commutative property of multiplication) it would be D.

Please help!!
I'll give brainlist!

Answers

Step-by-step explanation:

Perpendicular : means two lines meet at 90°

1) angle B = 90° - 50°

= 40°

2) Angle D = 90° - 30°

= 70°

-4i+ 3i= i- 8+ 3i- 12

Answers

Answer:

Step-by-step explanation:

-4i+3i=i-8+3i-12

-i=4i-20

20=4i+i

20=5i

20/5=i

4=i

can somebody help me pleaseeee, this is due at the end of the day! no links please!​

Answers

Answer:

You can tell that y=2 when x=4 by looking at the graph

Answer:

y = 2

Step-by-step explanation:

The equation is y = -x+6

Substituting 'x = 4' into this

y = -4+6

Hence, y = 2 when x =4

Feel free to mark this as brainliest :D

please help important I need now​

Answers

I think it’s 14 centimetres so option B

3+3+4+4= 14
6+6+2+2=14
12+12+1+1=26

Answer:

14 cm

The correct answer is B

Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:

3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Use the drops-downs to justify how Heidi arrived at each step.

Answers

Answer:

her first step was) Combining like terms= 12+2

her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x

her third step was) Adding to both sides 18= 14+18

her last step was) isolating the variable/ dividing 2 from both sides= 32/x.

Hope You Got It!

PLEASE MARK ME AS THE BRAINLIEST

Round answers to the nearest tenth if necessary.

1. the measure of arc JI is ?? degrees

2. the measure of arc IJH is ?? degrees

3. the measure of angle IKH is ?? degrees

Answers

Answer:

a) mJI = m∠JKI = 125°, same measure as central angleb) mIJH = 360° - (180° - 125°) = 305°, same as central angle ∠IJHc) m∠IKH = 180° - 125° = 55°, supplementary with ∠JKI

What is percentage of values available between first and third quartile of this data set (8, 7, 3, 8, 14, 15, 20)?

Answers

Answer:

[tex]\%Pr =71.43 \%[/tex]

Step-by-step explanation:

Given

[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]

[tex]n(S) = 7[/tex]

Required

Percentage of values between Q1 and Q3

We have:

[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]

Sort

[tex]Sorted = \{3, 7, 8, 8, 14, 15, 20\}[/tex]

Q1 is calculated as:

[tex]Q_1 = \frac{n+1}{4}th[/tex]

[tex]Q_1 = \frac{7+1}{4}th[/tex]

[tex]Q_1 = \frac{8}{4}th[/tex]

[tex]Q_1 = 2nd[/tex]

The second element is: 7; So:

[tex]Q_1 = 7[/tex]

Q3 is calculated as:

[tex]Q_3 = 3*\frac{n+1}{4}th[/tex]

[tex]Q_3 = 3*\frac{7+1}{4}th[/tex]

[tex]Q_3 = 3*\frac{8}{4}th[/tex]

[tex]Q_3 = 3*2th[/tex]

[tex]Q_3 = 6th[/tex]

The sixth element is: 15; So:

[tex]Q_3 = 15[/tex]

From the sorted dataset, the data between Q1 and Q3 is:

[tex]Q_3&Q_1 = \{7, 8, 8, 14, 15\}[/tex]

[tex]n(Q_3&Q_1) = 5[/tex]

The percentage is:

[tex]\%Pr =\frac{n(Q_3&Q_1)}{n(S)} * 100\%[/tex]

[tex]\%Pr =\frac{5}{7} * 100\%[/tex]

[tex]\%Pr =\frac{5* 100}{7} \%[/tex]

[tex]\%Pr =\frac{500}{7} \%[/tex]

[tex]\%Pr =71.43 \%[/tex]

Hlw Gøød Mørnîng.....Plz guys solve this immediately......​

Answers

Answer:

The remainder is 7

Step-by-step explanation:

What we have to do here is to set g(x) to zero and solve for x

The value of x is then substituted into the polynomial p(x)

we have this as follows;

x-1 = 0

x = 1

P(1) = 1^3 -6(1)^2 + 9(1) + 3

P(1) = 1 - 6 + 9 + 3

P(1) = 7

This value is the remainder

A city has a population of 290,000 people. Suppose that each year the population grows by 3%. What will the population be after 13 years?
Use the calculator provided and round your answer to the nearest whole number.

Answers

Answer:

403100 is the answer.Hope this helps

Given: Point B is the midpoint of segment AC and
segment AC = 12
Prove: Segment AB = 6
Select the reason that best
supports Statement 5 in the given proof.
Whoever answers could u give 5 and 6? They’re beside each other.
given proof.
A. Distributive Property
Statement:
1. AC =12
2. B is the midpoint of AC
3. AB = BC
B. Substitution
Reason:
1. Given
2. Given
3. Definition
of a midpoint
4. Postulate
5.[?]
6.
7. Algebra
8. Division Property
of Equality
C. Division Property of Equality
D. Subtraction Property of Equality
4. AB + BC = AC
5. AB + AB - AC
6. AB + AB = 12
7. 2(AB) = 12
8. AB = 6
Copyright © 2009 aon cells Corporation. All Rights Reserved.
search

Answers

Answer:

Substitution

Step-by-step explanation:

For statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

What is the midpoint of the segment?

It is defined as the middle point of the segment or line(any geometry may have a midpoint) around two identical sizes formed. The midpoint bisects the segment.

We have:

Point B is the midpoint of segment AC and

Segment AC = 12

Prove: Segment AB = 6

The statement(5):

AB+AB = AC  (here BC is substituted by AC)

So the reason is substitution.

The statement(6):

AB + AB = 12  (here AC is substituted by 12)

So the reason is a substitute.

Thus, for statement 5 the reason is a substitute, and for the statement 6, the reason is a substitute if point B is the midpoint of segment AC and segment AC = 12

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HELP ASAP
Solve the equation for x.
3x - 5x + 4 = 10 x =
PLEASE ANSWER STEP BY STEP

Answers

Answer:

X=-3

Step-by-step explanation:

3x-5x+4=10

-2x=6

x=-3

note:  I wasn’t sure if the equation ended in 10 or 10x. I think it ends at 10 so that is how I solved.

To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles. What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.

Answers

Answer:

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

Step-by-step explanation:

Given - To get to his parents' house, Mateo would have to drive due north 2.1 miles. To get to his grandparents' house, he would have to drive due east 9.6 miles.

To find - What is the straight-line distance between the parents' and grandparents' houses? If necessary, round to the nearest tenth.

Solution -

By the given information, the figure becomes -

From the Graph, we can see that,

The side MP = 2.1

The side MG = 9.6

And By using Pythagoreas Theorem, we get

(PG)² = (MG)² + (MP)²

⇒(PG)² = (9.6)² + (2.1)²

⇒(PG)² = 92.16 + 4.41

⇒(PG)² = 96.57

⇒PG = √96.57

⇒PG = 9.827

∴ we get

The straight-line distance between the parents' and grandparents' houses = 9.83 miles.

12. The cost, in dollars, of operating a
machine per day is given by the formula
C = 3t2 – 96t + 1014, where t is the time
the machine operates, in hours. What is
the minimum cost of running the machine?
For how many hours must the machine run
to reach this minimum cost?

Answers

The minimum cost of running the machine is $246. The time for minimum cost will be 16 hours.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the cost, in dollars, of operating a machine per day is given by the formula C = 3t² – 96t + 1014.

The minimum cost will be calculated as:-

d/dt ( 3t² – 96t + 1014 ) = 0

6t -96 = 0

6t = 96

t = 16 hours

The minimum cost is calculated as:-

C =  3t² – 96t + 1014

C = 3 ( 16)² - 96 x 16 + 1014

C = 768 - 1536 + 1014

C = $246

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1875/10000 as a simplified mixed number

Answers

Answer:

3/16

Step-by-step explanation:

step 1 Address the formula, input parameters & values.

Input parameters & values:

The given fraction = 1875/10000

step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.

The GCF for 1875 & 10000 is 625

step 3 divide the numerator & denominator by GCD 625 and rewrite the fraction

= (1875/625) / (10000/625)

= 3/16

Thus, 3/16 is the simplified fraction for 1875/10000 by using the GCD or HCF method.

Answer:

Step-by-step explanation:

please help!! 20 points. if you guess or just comment something to take points i will have you reported and make sure your account gets banned, thanks! i want a explanation pls

Answers

Answer:

x=5

Step-by-step explanation:

to find volume: length x width x height

the first rectangular prism volume: 15*5*5= 375 in³

because they have the same volume, you would set the other rectangular prism equal to 375: 25*3*x=375

75*x=375

divide both sides by 75: x=5

Please help me for my cousin

Answers

all you have to do is plot the points to the corresponding numbers. for example, for the scorpions the number 55 is repeated three times so in the number line for the scorpions you’ll put 3 dots above the number 55

I need help with this please.

Answers

From the options I see it would be -1

A parallelogram has a base of 9 km and a height of 5 km. A triangle has a base of 6 km and a height of 3 km. How many times greater is the area of the triangle?

Answers

Answer:

Parallelogram has greater area.

Step-by-step explanation:

Given:

Base of parallelogram = 9 km

Height of parallelogram = 5 km

Base of triangle = 6 km

Height of triangle = 3 km

Find:

Greater area

Computation:

Area of parallelogram = Base x Height

Area of parallelogram = 9 x 5

Area of parallelogram = 45 km²

Area of triangle = (1/2)(b)(h)

Area of triangle = (1/2)(6)(3)

Area of triangle = (1/2)(18)

Area of triangle = 9 km²

Parallelogram has greater area.

(50 POINTS) Subtract. (−8.3x+4)−(3.2x−5)
Enter your answer, in simplified form, in the box. (Combine and simplify the equation.)

Answers

Answer:

Hello!!!

Step-by-step explanation:

The first step for solving this expression is to remove the first set of parenthesis.

-8.3x+4 - (3.2x-5)

Remember that when there is a "_" sign in front of the parenthesis, we must change the sign of the expression to the following

-8.3x + 4 - 3.2x + 5

Collect the like terms with an x variable.

-11.5x + 4 + 5

Lastly, add the number to get your final answer

-11.5x + 9

Hope that helps you dear...

Have a nice day..

Buhbye!

Please help me as soon as you can

Answers

Answer:

1552.92

Step-by-step explanation:

Answer:

1552.92

Step-by-step explanation:

You can use this formula!!!

Which equations have no real solution but have two complex solutions?
A 3x>2-5=-8
b 2x>2=6x-5
c 12x=9x>2 +4
d -x>2 - 10x =34

Answers

Answer:

see details below

Step-by-step explanation:

First, assume >2 was meant to be &super;. or square.

then the given equations are:

A 3x^2-5=-8

b 2x^2=6x-5

c 12x=9x^2 +4

d -x^2 - 10x =34

In all cases, rearrange equation to identify parameters a, b and c, then calculate determinant using D=b^2-4ac.

A 3x^2x-5=-8

   3x^2-5x+8=0, a=3, b=-5, c=8

   D=b^2-4ac = (-5)^2-4*3*8 = 25 - 96  = -71  < 0   => 2 complex solutions

B 2x^2=6x-5

   2x^2-6x+5, a=2, b=-6, c=5

   D=b^2-4ac = (-6)^2-4*2*5 = 36 - 40 = -4  < 0   => 2 complex solutions

C 12x=9x^2 +4

   9x^2-12x+4, a = 9, b=-12, c=4

   D=b^2-4ac = (12)^2-4*9*4 = 144 - 144 = 0   => 2 real coincident solutions    

D -x^2 - 10x =34

   -x^2-10x-34, a = -1, b=-10, c=-34

    D=b^2-4ac = (-10)^2-4*(-1)*(-34) = 100 - 136 = -36   <0  => 2 complex  solutions    

Which unit rate is equivalent to the ratio 12 to 3?

Answers

Answer:

[tex]\frac{4}{1}[/tex]

Step-by-step explanation:

You can think of the ratio 12 to 3 as another fraction such as [tex]\frac{12}{3}[/tex].

If you want the denominator (bottom number) to be 1, you can divide 12 by 3 which equals 4.

Your new fraction would be [tex]\frac{4}{1}[/tex].

The sampling distribution is based on the assumption that the ________ hypothesis is ________. Group of answer choices research; true null; false null; true research; confounded

Answers

Answer:

True , null

Step-by-step explanation:

Mostly the true hypothesis is the null hypothesis .

We test the true hypothesis , the null hypothesis  against the claim provided which is named as alternate hypothesis.

When the false hypothesis is the null hypothesis , type II error is made.

Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.

So option 1 is correct

Two square pyramids are similar.
The sides of the bases are 4 cm and
12 cm. The height of the smaller
pyramid is 6 cm. Find the height of
the larger pyramid.

Answers

Answer:

18 cm

Step-by-step explanation:

Since the pyramids are similar then the ratio of corresponding sides are equal, that is

12 ÷ 4 = 3

Then the height of the larger pyramid is 3 times the height of the smaller.

height of larger pyramid = 3 × 6 = 18 cm

simplify the following expression by combining like terms. select the most simplified expression: 2w +5w-6+4w​

Answers

Answer:

Step-by-step explanation:

2w+5w-6+4w

=10w+4w-6

=14w-6

=2(7w-3)

Answer:

[tex]11w - 6[/tex]

Step-by-step explanation:

[tex]2w + 5w + 4w = 11w[/tex]

[tex]11w - 6[/tex]

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