2. Write (2+5i)(3-1) as a complex number in standard form a+bi.
real part + imaginary part

Answers

Answer 1

Answer:4+10i

Step-by-step explanation:

6+15i-2-5i

4+10i


Related Questions

You deposit $2700 in an account that pays 3% annual interest compounded weekly. How much money is in the account after 5 years?

Answers

Answer:

A = $3136.86

Step-by-step explanation:

Given the following data;

Principal = $2700

Interest rate = 3% = 3/100 = 0.03

Number of times = 52

Time = 5 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2700(1 + \frac{0.03}{52})^{52*5}[/tex]

[tex] A = 2700(1 + 0.0005769)^{260}[/tex]

[tex] A = 2700(1.0005769)^{260}[/tex]

[tex] A = 2700(1.1618)[/tex]

A = $3136.86

what is 3p-5= -44
can anyone answer this

Answers

P=-44 is the correct answer
p=-13

3p-5=-44
add 5 to -44 which equals -39

3p=-39
divide 3 by -39 which equals -13

I need help please asap

Answers

Answer:

Part B

How does this change in setting affect Miguel? Choose two answers.

A.

Miguel asks his mom if he can transfer to a different middle school.

B.

Miguel becomes a more focused student.

C.

Miguel begins to struggle in his Language Arts class as well.

D.

Miguel makes a new friend.

Step-by-step explanation:

If 5 hamburgers cost $10, what is the cost for 3 hamburgers?

Answers

Answer: 6$

Step-by-step explanation: 5 divided by 10 = 2$ so 3 x 2 = 6

I do not hold responsibility if you get it wrong :(

Help pls what is the relationship between work hours and total money earned

Answers

Answer: the correct answer would be B

Step-by-step explanation:

The increase is by 11 dollars an hour so b is your answer.

find the sum of all the even numbers between 70 and 80​

Answers

300. 72+74+76+78=300

Use the Distributive Property to
REWRITE 5(p - 8)

Answers

The answer would be 5p-40
multiple 5 by p and -8 individual to get your answer!

5p - 40

Find the value of the ratio x ÷ y if the equation is 5x²-13xy+8y²​

Answers

Answer:

x÷y=8/5 or 1÷1

Step-by-step explanation:

Please mark as brainliest

a cylinder has a base diameter of 20 centimeters and a height of 14 centimeters what is the volume in cubic meters to the nearest tenths place ​

Answers

Answer : V≈4398.23cm³

Twenty-five volunteers will wear one of 6 blue, 7 green, 8 yellow, and 4 red aprons during an upcoming food drive. If the aprons are assigned randomly, what is the probability that a volunteer is assigned an apron that is NOT green?
A. 6/25
B. 7/25
C. 8/25
D. 18/25

Answers

D. 18/25

To solve this problem, let’s first subtract the ones that ARE wearing green from the total number of volunteers. We’ll subtract 7 from 25 for an answer of 18. Then, we’ll put the 18 over 25 and this will represent how many volunteers are NOT wearing green out of the total number of volunteers. My work is below, please let me know if you have any questions! :)

25 - 7 = 18

18/25 = Probability of volunteers NOT wearing green out of the total number of volunteers

Will give brainly if answer is right

Answers

Answer:

I got 17.99 inches

Answer:

18 ft (it's correct)

Step-by-step explanation:

formula for volume: volume = [tex]\pi r^2h[/tex]

plug in the values that they give you

5,652 = [tex]\pi 10^2h[/tex]

simplify

5,652 = 100pi h

solve for h

[tex]\frac{5652}{100\pi } = h[/tex]

h = 18 (rounded)

What is the area of the triangle at the right?

Answers

Answer:

13.16

Step-by-step explanation:

formula= (absin∅)/2

= (4×9×sin47)/2

= 13.16

Can you help me, please?

Answers

2/8 is equal to 1/4, and you can just figure that out by multiplying 1 and 4 by 2

5. The vertices of a parallelogram on a cartesian plane are as follows; (1,4),
(2, 2), (6,3), and (5,5). Find the measure of the longest diagonal.​

Answers

Answer:

idontknow

Step-by-step explanation:

Answer:

first you need to understand what is a diagonal then if you understand them you can use the opposite coordinates to calculate the diagonals using the distance formula for example [tex] [/tex][tex]d = \sqrt{(x - x) { }^{2} } + \sqrt{(y} - y) {?}^{2} [/tex]then after that you will subtitute the for x of opposite vertices same for y make sure if you get an answer you take a positive square root if i a root

Help plz I don’t understand

Answers

The answer is 380+12x=494. Can you please give me brainlest?

i am feeling generous so I am giving away points to anyone who answers this easy question what is 10÷x+10×10+x-3x if x=0.111111111​

Answers

Answer:

189.77777867

Step-by-step explanation:

10/.111111111+10x10+.111111111-3(.111111111)

189.77777867

I know this was just for points but...

Hope this kind of helped if you actually needed the question answered and have a fantastic day C:

189 I hope that helps you

what is 14 865.00 to the nearest thousand​

Answers

Answer:

the nearest thousand is 15 000.00

Two similar squares are in a ratio of 3:5. If a side of the larger square is 35 inches, what is the measure of a side of the smaller square?

Answers

In my opinion the answer to this question is 21

help me please if you know the answer

Answers

Answer:

D as 32 divided by 8 is 4

Step-by-step explanation:

A quotient is a result obtained by dividing one quantity by another.

Answer:

The second choice is the correct answer. d/8=4

Step-by-step explanation:

if something is a quotient it means it is the solution of a division problem. So we know it cant be the first. the last one doesn't make sense because it says that 8 and a number d equals 4 so it cant be that 8*4=d. that also goes for the third problem because it has to equal 4 and that equals d not 4.

To find this out we see that because it is the quotient of a number and 8 is 4, that means that we have to have a number divided by 8, the only one with that is the second one.

The magnitude of an earthquake is found by the equation M = 2/3 * log E/10^11.8 , where M is the magnitude and E is the energy released. Find the magnitude of an earthquake that released 10 ^ 21.6 ergs of energy

Answers

The answer is D. 6.5

The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out.
How far did the penguin swim?
Give your answer in terms of pi.

Answers

9514 1404 393

Answer:

  10π meters

Step-by-step explanation:

The circumference of the island is given by the formula ...

   C =  πd

where d represents the diameter of the circle.

Halfway around is half the circumference, so the distance the penguin swam is ...

  1/2C = (1/2)π(20 m) = 10π m

The penguin swam 10π meters.

Answer:

10pi

Step-by-step explanation:

The circumference of the island is given by the formula ...

  C =  πd

where d represents the diameter of the circle.

Halfway around is half the circumference, so the distance the penguin swam is ...

 1/2C = (1/2)π(20 m) = 10π m

At the clothing store, the ratio of shirts to jeans is 3:2. There are 30 pairs of jeans. How many shirts are there?

Answers

Answer:

45 : 30

Step-by-step explanation:

30 / 2 = 15

3 * 15

= 45

= 45 : 30

Hope it helps

Please mark me as the brainliest

Thank you

giving brainliest *easy*

Answers

Answer:

Think it 89mm

Step-by-step explanation:

a lot of points, Show your work to explain how you found your answers?

Answers

Answer:

5500 ml or 5.5 liters

Step-by-step explanation:

First, we should note that there are 1000 milliliters in 1 liter of liquid.

So, in milliliters, Peter filled three containers with 1500 ml, 750ml, and 2250 ml with 1000ml left over.

To find the total amount, we find the sum of all the milliliters:

1500 + 750 + 2250 + 1000 = 5500 ml

Again, we know that there are 1000 milliliters in 1 liter of liquid, so:

[tex]\frac{5500}{1000}[/tex] = 5.5 liters

5500ml I think that is the answer hope this helps

When 2(3/5x+2 3/4y- 1/4x -1 1/2y+3) is
is simplified, what is the resulting expression?

Answers

Hopes this helps:

Answer: 2(7x/20 + 5y/4 + 3)
2(7x/20+5y/4+3) should be correct

The temperature at noon is 7 less than twice the temperature at 6:00 a.m. At noon it is 61 degrees. The temperature at 6:00 a.m. is t degrees. what is the temperature at 6:00 a.m.?

Answers

Answer:

34 degrees

Step-by-step explanation:

The equation that represents this situation is

2t - 7 = 61

to solve, start by adding 7 to both sides

2t = 68

then divide both sides by 2

t = 34

????????????????????????????

Answers

It would be 12.5 square miles I would appreciate the Brainliest

Use similar triangles to solve for the missing lengths below.

If you know how to work this out please help:)

Answers

Answer:

x = 14

y = 18

Step-by-step explanation:

By the property of similar triangles,

If two triangles are similar their corresponding sides will be proportional.

[tex]\frac{AB}{EF}= \frac{AC}{GE}[/tex]

[tex]\frac{5}{10}=\frac{7}{x}[/tex]

x = [tex]\frac{70}{5}[/tex]

x = 14

Similarly, [tex]\frac{AB}{EF}= \frac{CB}{GF}[/tex]

[tex]\frac{5}{10}=\frac{9}{y}[/tex]

y = [tex]\frac{90}{5}[/tex]

y = 18

There are how many halves in 2 1/2

Answers

Answer:

there are 5 halves in 2 1/2

Answer:

5

Step-by-step explanation:

1/2 +1/2 = 1

The automobile insurance
company receives 18 calls in 6
hours. How many calls do they
received in 11 hours?

Answers

Answer:

33

Step-by-step explanation:

An easy way to do this is create a proportion.

[tex]\frac{18}{6} = \frac{x}{11}[/tex]

Keep in mind you could also write this equation as  [tex]\frac{6}{18} = \frac{11}{x}[/tex] as long as you are consistent. The number of calls should be in the same place and the hours should also be in the same place (either the numerator or denominator).

Next, just cross multiply.

6x = (18)(11)

6x = 198

x = 33 calls

Answer:

They would get 33 calls!

Step-by-step explanation:

Hope this helps!

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