Find the sum of -2 + 3i and -1- 2i.

Answers

Answer 1

Answer:

-3+i

Step-by-step explanation:

Collect like terms

-2-1=-3

+3i-2i=i

-3+i


Related Questions

end
A cruise ship is 1480 feet from a light house off a Caribbean Island.
If the angle of elevation from the cruise ship to the top of the light
house is 4º, what is the height of the lighthouse? Round to the
nearest whole foot.

Answers

Answer:

104 feet

Step-by-step explanation:

To get the height of the lighthouse, we need to take the sine function of the anglesin4° = 0.07sin4° = h/1480⇒ h/1480 = 0.07⇒ h = 1480 x 0.07⇒ h = 103.6⇒ h = 104 feet

Find the missing sides

Answers

Answer:

i believe _=6 (the horizontal side, as it says on the picture,) | = 6 (the vertical side,) and \ = 8.48 (the diagonal)

Step-by-step explanation:

To find the diagonal, you have to use the Pythagorean Theorem, which is a^2 + b^2 = c^2

So, a and b both equal 6, square both of those, you got 36 for each.

Now, add them together and youll get 72

The square root of 72 is around 8.48

Although, im not entirely sure if thats correct or not, so i wouldnt really recommend putting this as your answer :|

Use the distributive property to fill in the blank. 8 x (6 - 5) = (8 x ?) - (8 x ?)

Answers

P.M.D.A.S
P. Parentheses
M. Multiple
D. Divide
A. Add
S. Subtract

Hey there!

8 * (6 - 5)

= 8(6 - 5)

= 8(6) + 8(-5)

= 48 + (-40)

= 48 - 40

= 8


OR

8 * (6 - 5)

= 8(6 - 5)

= 8(1)

= 8


OR EVEN

8 * (6 - 5)

= (8 * ?) - (8 * ?)

= (8 * 6) - (8 * 5)

= 48 - 40

= 8


Thus, your answer is: (8 * 6) - (8 * 5)


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

a) Patty Stacey deposits $2600 at the end of each of 5 years in an IRA. If she leaves the money that has accumulated in the IRA account for 25 additional years, how much is in her account at the end of the 30-year period? Assume an interest rate of 10%, compounded annually. (Round your answer to the nearest cent.)
$

(b) Suppose that Patty's husband delays starting an IRA for the first 10 years he works but then makes $2600 deposits at the end of each of the next 15 years. If the interest rate is 10%, compounded annually, and if he leaves the money in his account for 5 additional years, how much will be in his account at the end of the 30-year period? (Round your answer to the nearest cent.)
$


(c) Does Patty or her husband have more IRA money?

Answers

Answer:

From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.

Step-by-step explanation:

:)

I would like some help

Answers

Answer:

y = -2/3x + 4

Step-by-step explanation:

The y-intercept of the graph is at (0, 4) so in the equation of the line   (y = mx + b), b = 4 [But all the options have that, so we have to evaluate further]The slope of the line can be calculated by where its next point on the graph isA point is (3, 2)Slope, m = 2 - 4 / 3- 0 = -2/3Equation of the line : y = -2/3x + 4

2 Mae has 36 orange slices. She will fill each of
7 bags with the same number of orange slices.
How many slices will be in each bag? How many
slices will be left over?

Answers

Answer:

5 with 1 left.

Step-by-step explanation: 7 goes into 36 5 times.

5x7=35

36-35=1 left over.

Rewrite each equation without absolute value for the given conditions. y=|x-3|+|x+2|-|x-5| if -2

Answers

The equation y = |x-3| + |x+2| - |x-5| is an absolute value equation

The equivalent equation of y = |x-3| + |x+2| - |x-5|  if -2 < x < 3 is y = x

How to rewrite the absolute value equation?

The equation is given as:

y = |x-3| + |x+2| - |x-5|

The condition is given as:

if -2 < x < 3

Split and solve each term of the absolute value equation.

|x-3| = -(x - 3) = 3 - x....... because x < 3

|x+2| = x + 2 because -2 < x

|x-5| = -(x - 5) = 5 - x....... because x < 5

So, we have:

y = |x-3| + |x+2| - |x-5|

This gives

y = (3 - x) + (x + 2) - (5 - x)

Open the brackets

y = 3 - x + x + 2 - 5 + x

Evaluate the like terms

y = x

Hence, the equivalent equation of y = |x-3| + |x+2| - |x-5|  if -2 < x < 3 is y = x

Read more about absolute value equations at:

https://brainly.com/question/12344256

Each side of a square window is 39 inches long. What is the window's perimeter?

Answers

Answer:

156

Step-by-step explanation:

39x4 = 156

Simple multiplication :)

Hope this helps, and please mark me brainliest!

Answer:

156

Step-by-step explanation:

p=4 a

p=4 x 39p=156

how do i simplify this: (8 2/3)^4

Answers

Answer:
5641 55/81

Step-by-step explanation:

you can simplify the equation by removing the parenthesis.
this means that you also have to solve the ^4 part.
this would be
5641 55/81

I know that this is a large number but that is what happens when you do ^4.

Can someone help me? I'm pretty bad at math... But what is the number needed?
6 x ? x 3 = 90

Answers

The answer is 5 I’ll explain so when you multiply 6 times 3 it gives you 18 and 18 times 5 equals 90 hope it helps

Factor 100xy+75xyz
Please help!

Answers

Answer:

25xy(4+3z)

Step-by-step explanation:

identify common factors

25xy*4+3z*25xy

group common factors

25xy(4+3z)

Hi! I'm giving 35 points for this question! No scams or anything unrelated or you will get reported, thanks!

How could the relationship of the data be classified?

A fairly strong positive correlation

A fairly weak positive correlation

A fairly strong negative correlation

A fairly weak negative correlation

Answers

Answer:

A fairly weak positive correlation

Step-by-step explanation:

Answer:

B; A fairly weak positive correlation.

Step-by-step explanation:

Tip: You will know it's a negative if the line in the graph can be part of an N.


i need help right now please !!!!!

Answers

Answer:

x+50+4x=90(being complementary angle)

5x+50=90

5x=90_50

5x=40

x=40÷5

x=8

first we add those both numbers, x+4x=5x and we divide it with 40(40÷5) and the solution comes.


A line that includes the point (10, 0) has a slope of 1/10 slope-intercept form? What is its equation in slope-intercept form?

Answers

Step-by-step explanation:

[tex](y - 0) = \frac{1}{10} (x - 10) \\ y = \frac{1}{10} (x - 10)[/tex]

Unit 6 lesson 10 surface area and volume unit test

Answers

Answer:

You have to ask a question

Step-by-step explanation:

can you guys please help with this? you get a lot of points i don’t understand the question please

Answers

Answer:

The first one i would think might be 0.05? uncertian and probably wrong, the second, HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT, and the third, 3/8.

The way you figure out the third one is you are flipping 3 coins still, and you take all of the options above and there are 8 total and 3 ov them would land you 2 heads and a tail so its a simple 3/8 fraction

Answer:

2.  0.05

3. a) 8 outcomes (listed below)

3. b) 3/8

Step-by-step explanation:

Question 2

The sum of the probabilities of all possible outcomes is 1.

Therefore, if the probability of being on time for class is 0.95, then the probability of NOT being on time for class is:

1 - 0.95 = 0.05

Question 3

a)  8 possible outcomes of flipping 3 coins (H = heads, T = tails):

HHH     HHT     HTH     THH

TTT       TTH     THT      HTT

b)  

There are 3 possible ways of flipping 2 Heads and 1 Tail:

HHT    HTH     THH

Out of a total number of 8 possible outcomes.

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\sf \implies P(2\:Heads\:and\:1\:Tail) = \dfrac38[/tex]

What is the measure of each angle of a regular 17-gon? If necessary, round to the nearest tenth.

Answers

For a regular 17-gon, the measure of the internal angles is:

a =  158.8°

How to measure the internal angles?

The measure of the sum of the internal angles of a regular figure of N sides is:

(N - 2)*180°

For the case where N = 17, we have:

(17 - 2)*180° = 2,700°

That is the measure of the sum of the internal angles, and we have 17 of them, so the measure of each angle is:

2,700°/17 = 158.8°

If you want to learn more about angles, you can read:

https://brainly.com/question/17972372

y+(-3)²+6(-3)+5
y= -4

I am not sure how they got -4 as the answer.

Answers

PEMDAS - parentheses exponents multiplication division addition subtraction

Hope it helps!

Any queries - comment!

PS I'll edit in a min, please wait :)

For each value of x determine whether it is a solution

Answers

Hey !

Question :

For each value of x determine whether it is a solution to 45 = -9 ( x + 5 )

Given :

In the question we have given an equation i.e. :

45 = -9 ( x + 5 )

In the question values of x are also given i.e. :

5-71-4

To Determine :

In this question we have to determine whether given value of x are solution fo the given equation or not .

How we have to solve this question :

We are solving this question by substituting given value of x in the equation if equation satisfied then it means that the value for x is solution of the equation .

So Let's get started :

1) Value of x as 5 :

45 = -9 ( x + 5 ) ( Given Equation )

Now substituting value of x as 5 :

45 = -9 ( 5 + 5 )45 = -9 ( 10 )45 = -90

But , 45 is not equal to -90

Therefore , 5 is not the solution for equation .

2) Value of x as -7 :

45 = -9 ( x + 5 ) ( Given Equation )

Now substituting value of x as -7 :

45 = -9 ( -7 + 5 )45 = -9 ( -2 )45 = 18

But , 45 is not equal to 18

Therefore , -7 is not the solution for equation .

3) Value of x as 1 :

45 = -9 ( x + 5 ) ( Given Equation )

Now substituting value of x as 1 :

45 = -9 ( 1 + 5 )45 = -9 ( 6 )45 = -54

But , 45 is not equal to -54

Therefore , 1 is not the solution for equation .

4) Value of x as -4 :

45 = -9 ( x + 5 ) ( Given Equation )

Now substituting value of x as -4 :

45 = -9 ( -4 + 5 )45 = -9 ( 1 )45 = -9

But , 45 is not equal to -9

Therefore , -4 is not the solution for equation .

So ,

In there is no proper value of x that can be solution of the given equation .

[tex] Keep \: Learning[/tex]

Hallar M=64(n+2)=141(5)
Ayuda en este ejercicio porfa :,(

Answers

Answer:

n≈9

n=9.015625

Step-by-step explanation:

64(n+2)=141(5)

Break up the parenthesis.

64n+128=705

Subtract 128 from both sides.
64n=577

Divide 64 from both sides.

577/64


Then you get your answer.

n≈9

Find the value of x of 2x 110° (x + 10)°​

Answers

Answer:

50°

Step-by-step explanation:

the sum of the angles of a quadrilateral is 360°

so

2x + 110 + x + 10 + 90 = 360

2x + x = 360 - 110 - 10 - 90

3x = 150

x = 150 : 3

x = 50°

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

check

50 + 10 + 2 * 50 + 110 + 90 =

360°.

the answer is good

Answer:

x = 50

2x = 110°

(x + 10)° = 60°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°

⇒ 2x° + (x + 10)° + 110° + 90° = 360°

⇒ 2x° + x° = 360° - 110° - 90° - 10°

⇒ 3x° = 150°

⇒ x = 50

Substitute found value of x into the expressions and solve:

⇒ 2x° = 2(50)° = 110°

⇒ (x + 10)° = (50 + 10)° = 60°

Please help me with this question feedback would be appreciated!

Answers

Answer:

3/4

Step-by-step explanation:

There are 13 clubs in a standard 52-card deck

That means that 39 cards out of the 52 are not a club ( because 52-13=39)

So the probability of you not being dealt a club is 39/52 or 3/4

Use substitution to solve the system.
- 3x+y = 14
2x + 3y = -2

Х
5
?
y = 0

Answers

Answer:

x= -4 and y=2

Step-by-step explanation:

-3x+y=14 ...eqn 1

2x+3y= -2....eqn 2

from eqn 1

-3x+y=14

y=14+3x

substitute y=14+3x into eqn 2

2x+3(14+3x) = -2

2x+ 42+ 9x = -2

11x= -2-42

11x= -44

x = -4

substitute X = -4 into eqn 1 to get y

-3x+y=14

-3(-4) +y =14

12+y= 14

y= 14-12

y =2

Factorise fully 21a-7a²

Answers

-7(a-3)a

hope it helps...!!!!

After graduation from college, Justin decided to join a new company. He agreed to a salary which will increase by 3.7% each year and will earn 77,536 for his twelfth year of work.
Part A: To the nearest dollar, what is Justins starting salary?

Answers

Using an exponential function, it is found that Justin's starting salary was of $50,137.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem, we have that r = 0.037 and A(12) = 77536, hence:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]77536 = A(0)(1.037)^{12}[/tex]

[tex]A(0) = \frac{77536}{(1.037)^{12}}[/tex]

A(0) = 50137.

Justin's starting salary was of $50,137.

More can be learned about exponential functions at https://brainly.com/question/25537936

4. Alex wants to measure lengths of rope for a knot-tying activity at camp What is the best customary unit of measurement for Alex to use to measure the rope? Why?

Answers

The best unit of measurement for Alex to use for the ropes he is going to use at camp would be centimeters because it is a measurement that fits the needs of his knot shop.

What is a unit of measure?

A unit of measure is a unit that is used as a reference and international standard on length, weight, height, among others.

In the case of length, there are several units of measurement such as:

KilometresMetersMilesCentimetersMillimeters

For a knot-making workshop in a camp, the ideal would be to have a rope of at least 2 or 3 meters. However, the ideal unit of measurement for teaching about knots is centimeters because knots do not require a large amount of rope to tie.

Learn more about knots in: https://brainly.com/question/15458643

-x^2+16x+64=0 need to know using quadratic formula to find the zeroes

Answers

Answer:

[tex]x= 8\left(1- \sqrt 2 \right)\\\\\\x= 8\left(1+ \sqrt 2 \right)\\[/tex]

Step by step explanation:

[tex]-x^2 +16x +64 =0\\\\\text{Use the quadratic equation formula,}~~ x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{In this case,}~ a=-1, b=16, c=64\\\\\\x=\dfrac{-16\pm\sqrt{16^2 -4 \cdot (-1)(64)}}{2(-1)}\\\\\\~~~=\dfrac{-16\pm\sqrt{512}}{-2}\\\\\\~~~=\dfrac{-16 \pm \sqrt{256 \times 2}}{-2}\\\\\\~~~=\dfrac{-16 \pm 16\sqrt2}{-2}\\\\\\~~~=8 \pm(-8)\sqrt 2\\\\\text{Hence,}\\\\x=8-8\sqrt 2 = 8\left(1- \sqrt 2 \right)\\\\x= 8+8\sqrt 2 = 8\left(1+ \sqrt 2 \right)[/tex]

A mitochondrion has a diameter of about 0.00000031 meter. The diameter of a chloroplast is about 3 times that of the mitochondrion. What is the approximate diameter of the chloroplast?

Answers

given:

the diameter of the mitochondrion= 0.00000031 meter.

to find:

the diameter of the chloroplast.

solution:

3×mito= chloroplast

3 × 0.00000031

=0.00000091

= chloroplast

= 9.1 × 10^-7m

the imprecise diameter of the chloroplast is 9.1 × 10^-7m.

6. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.​

Answers

The two plans charge the same amount in 11 months.

The plan I would recommend if the plans are contracted for two months is the Fidoll plan.

When will the two plans charge the same amount?

The equation that represents the amount that would be paid by Kayla if she buys the phone from Rongers is : $127x

Where x represents the number of months

The equation that represents the amount that would be paid by Kayla if she buys the phone from Fidoll  is : $363 + $94x

Where x represents the number of months

The two above equations would be equal when the plan charge the same amount: $363 + $94x = $127x

Combine similar terms

$363 = $127x - $94x

Add similar terms

$363 = $33x

Divide both sides by 33

x = 11 months

Which plan would be recommended if the plan is for 2 years?

Rongers: $127(24) = $3,048

Fidoll = $363 + $94(24) = $2619

I would recommend the Fidoll plan

To learn more about cost, please check: https://brainly.com/question/25879561

Rebecca and Blake decide to roll a pair of fair 6-sided dice to determine who has to clean their dishes.
If the sum is 5 or 6, then Rebecca will clean the dishes.
If the sum is 8 or 9, then Blake will clean the dishes.
If the sum is anything else, they'll roll again.
Is this a fair way to decide who cleans the dishes? Why or why not?

Answers

Answer:

it's not fair

Step-by-step explanation:

... if Rebecca rolled the dice it's most likely going to give a 6 or a higher number if Blake rolled the same too would have happened thus it would be fair if the dice was 3 sided

Rebecca and Blake decide to roll a pair of fair 6-sided dice to determine who has to clean their dishes. If the sum is 5 or 6, then Rebecca will clean the dishes. If the sum is 8 or 9, then Blake will clean the dishes. If the sum is anything else, they'll roll again. This is a fair method of decision making by law of probability because both Rebecca and Blake are equally likely to wash the dishes.

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Total number of observations in sample space when a pair of dice is rolled = 6² = 36

Number of observations where sum is 5 or 6 = 9

((1,4)(4,1)(2,3)(3,2)(1,5)(5,1)(4,2)(2,4)(3,3))

Probability that Rebecca will clean the dishes = 9/36 = 0.25

Number of observations where sum is 8 or 9 = 9

((2,6)(6,2)(3,5)(5,3)(4,4)(3,6)(6,3)(4,5)(5,4))

Probability that Blake will clean the dishes = 9/36 = 0.25

Since, the probabilities of Rebecca and Blake cleaning the dishes are equal, the method of decision making is fair.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ2

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