Simplify the given expression below:
(1 + 3) + (2 - 5i)

Answers

Answer 1

Answer:

6 -5i

Step-by-step explanation:

(1 + 3) + (2 - 5i)

Combine like terms

1+3+2    -5i

6 -5i


Related Questions

simplify. 5+ 8y^2- 12y^2+ 3y

Answers

Answer:

The answer simplified would be:

-4y^2+3y+5

If you combine the like terms, you will get this answer.

You have to add 8y^2 to -12y^2 and you get -4y^2.

Hope this helps you! :)

7(2x-7+1 please help ​

Answers

Answer:

14x-42

Step-by-step explanation:

7(2x-7+1 )

7(2x-6)

14x-42

For a positive integer n, if the difference between all neighbouring digits are all greater than 3 (e.g. 150),
it is defined as a “good number”. How many three-digit “good number(s)” is/are there?

Answers

Answer:

166 numbers

Step-by-step explanation:

Let n = abc is the 3-digit number

b = 0 - 9, total 10 options

If b = 0, a= 4 to 9, c = 4 to 9, so 6 options each 6*6 = 36 good numbersIf b = 1, a= 5 to 9, c = 5 to 9, so 5 options each 5*5 = 25 good numbersIf b = 2, a= 6 to 9, c = 6 to 9, so 4 options each 4*4 = 16 good numbersIf b = 3, a= 7 to 9, c = 7 to 9, so 3 options each 3*3 = 9 good numbersIf b = 4, a = 8, 9, c = 0, 8, 9, so 2*3 = 6 good numbersIf b = 5, a = 1, 9, c = 0, 1, 9, so 2*3 = 6 good numbersIf b = 6, a = 1, 2, c = 0, 1, 2, so 2*3 = 6 good numbersIf b = 7, a = 1, 2, 3, c = 0, 1,2,3, so 3*4 = 12 good numbersIf b = 8, a = 1, 2, 3, 4, c = 0, 1, 2, 3, 4, so 4*5 = 20 good numbersIf b = 9, a = 1,2,3,4,5, c = 0, 1, 2, 3, 4, 5, so 5*6 = 30 good numbers

Total good 3-digit numbers:

36 + 25 + 16 + 9 + 6 + 6 + 6 + 12 + 20 + 30 = 166

2/5 x 1/3 x 3/4 = ( 2/5 x 1/3) x ? And the answer please

Answers

4/12x9/12= 36/12=3
3x2/5=6/5
4.2

6/15x5/15=30/15=2

?= 2.1 or 2 1/10

1-2. Roel earns P 8,000 per month as basic salary. In addition, he earned P 5,725.50 as commission and P 852.50 as overtime pay in January. How much did he earn that month?

3-4. A biscuit factory originally packaged 0.65kg of crackers. To increase profitability, the company reduced the weight by 0.035 kg with a more affordable price. What is the new weight per pack of crackers?

Answers

Answer:

a. he earn 14578.00 in that month.

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

60

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

If you add up Jasford and Jasmines ages you get 35. If Jasford is three years older than Jasmine, how old is Jasmine?

Answers

It is 16 I’ve done this question before

Latisha drove around town running errands all afternoon. The path she took is shown on the map below.

A path is 17 inches long. The scale is 2 inches = 3 miles.

To the nearest mile, what is the total distance that she traveled?

Answers

17/2 to x/3

cross multiply

51 = 2x

x= 25.5 miles or 26

For 4 hours Sam traveled at 40 miles per hour. Then he increased his speed to 60 miles per
hour and drove for another 3 hours. How far did he go in the 7 hours he traveled?

Answers

840 miles total is the correct answer because of multiplication. 4x40+60x3=840

describe the Y intercept an end behavior of the following graph
PLEASE HELP

Answers

The y intercept is -5

Determine three consecutive odd integers whose sum is 2097.

Answers

Answer:

first odd integer=x

second odd integer=x+2

third odd integer=x+4

x+x+2+x+4=2097

x+x+x+2+4=2097

3x+6=2097

3x=2097-6

3x=2091

3x/3=2091/3

x=697

therefore, x=697

x+2=697+2=699

x+4=697+4=701

Geometry, please answer question ASAP

Answers

Answer:

C

Step-by-step explanation:

The 2 angles lie on a straight line and sum to 180° , then

5x + 19 + 8x = 180

23x + 19 = 180 ( subtract 19 from both sides )

23x = 161 ( divide both sides by 23 )

x = 7

Then

∠ OML = 15x + 19 = 15(7) + 19 = 105 + 19 = 124° → C

Wyatt wants to study the relationship between the number of siblings that a student has and the student’s grade-point average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two variables. Which scatterplot proves that Wyatt’s statement is not always true?

Answers

Answer:

B.

Step-by-step explanation:

Use the diagram to complete the statements.
Angles 1 and 5 are
because they are
angles.
7
3
(2
Angles 4 and 6 are
because they are
4
5
angles.
7X6
8
a
S

Answers

Answer:

Can you show the options?

Step-by-step explanation:

Angle 1 and 4 are equal and angle 4 and 6 add up to 180

Answer:

congruent, corresponding, supplementary, same side interior

Step-by-step explanation:

17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralph’s age now.

Answers

Answer:

Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.

The inequality 1 ≤ 2x − 5 is true for all values of x in which of the following sets?

1. 0, 1, and 2
2. 1, 2, and 3
3. 2, 3, and 4
4. 3, 4, and 5​

Answers

Answer:

4. 3, 4, and 5​

Step-by-step explanation:

1 ≤ 2x − 5

Add 5 to each side

1+5 ≤ 2x − 5+5

6 ≤ 2x

Divide by 2

6/2  ≤ 2x/2

3 ≤ x

x must be greater than or equal to 3

4.
A turtle crawls 567 mm in 27 minutes. How far (measured in cm) can the turtle
crawl in a minute?

Answers

Answer: 2.1 cm per minute

Step-by-step explanation:

567/27 =21 mm

convert mm to cm (1mm = 0.1c,)

21mm = 2.1cm

Answer:

2.1 cm or 21 mm

Step-by-step explanation:

567 ÷ 27 = 21

Therefore the turtle can crawl 21 mm in a minute.

To covert mm to cm, we simply divide by 10.

21 ÷ 10 = 2.1

The perimeter of a triangle is 24 cm.If it’s area is 24cm2 and it’s one of the three sides is 10 cm,find the sides of remaining

Answers

Answer:

The other sides are 6cm and 8cm

Step-by-step explanation:

Let the other 2 sides be x and y.

Using herons formula, we have an equation

24=sqrt(12*2*(12-x)*(12-y))

Since the perimeter is given, we have x+y=24-10=14. Solving it we have x=6,8 and y=8,6.

which choices are equivalent to the exponential expression below? check all that apply. 5/3^3
Answers:
5^3/3^3
3 x (5/3)
25/9
15/9
5/3 x 5/3 x 5/3
125/27

Answers

Answer:

5/3 x 5/3 x 5/3

125/27

5^3/3^3

3 x (5/3)

Step-by-step explanation:

(5/3)^3 = 5×5×5/3×3×3 = 125/27.

Resolve into factor :(a+b) ^3+1​

Answers

Answer:

use the formula a^3+b^3= (a+b)-3ab(a+b)

in above question assume (a+b) as a and 1 as b

later in (a+b+1) take (a+b) as a and 1 as b

and use the formula (a+b)^2 = a^2+2ab+b^2

Does anyone know the answer plz ?

Answers

Answer:

x = 5; y = 5

Step-by-step explanation:

One angle is a right angle, so its measure is 90 degrees.

One angle measures 45 degrees, so the unknown angle must also measure 45 degrees.

x and y are opposite two 45-degree angles, so x = y.

In a 45-45-90 triangle, the ratio of the lengths of the sides is

1 : 1 : sqrt(2)

We have

x : y : 5sqrt(2)

x/1 = 5sqrt(2)/sqrt(2)

x = 5

y = 5

Help me with these questions plz

Answers

Answer:

Step-by-step explanation:

2) Cost Price = CP = $ 35

Tax = $ 3.29

Tax percent = [tex]\frac{tax}{CP}*100[/tex]

                    [tex]= \frac{3.29}{35}*100\\\\[/tex]

                    = 9.4 %

Total amount paid by Ian = CP + tax = 35 + 3.29

                                          = $ 38.29

3) Price of the order = $ 56.50

Shipping cost % = 3 % = 0.03

Shipping cost = price of the order * shipping cost %

                       =  56.5 * 0.03

                       =  1.695

                       = $ 1.70

Total cost = Price of the order + Shipping cost

                = 56.5 + 1.70

                = $ 58.20

4) Bill amount = $ 26

Tip % = 18%

Tip amount = Tip % * bill amount

                   [tex]= \frac{18}{100}*26\\[/tex]

                   = $ 4.68

5) commission% = 3.5 %

Commission amount = commission% * Sales

                                   [tex]= \frac{3.5}{100}*50000[/tex]

                                  = $ 1750

Base salary for a week  = $400

Base salary  for two weeks = 400 * 2 = $ 800

Emmett's earning for this two weeks period = Base salary for two weeks + commission

= 800 + 1750

= $ 2550

6) Tax % = 10.25 %

Purchase amount = $ 310.50

Tax = Tax% * Purchase amount

      [tex]= \frac{10.25}{100}*310.50[/tex]

      = $ 31.83

Total = Purchase amount  + Tax

         = 310.50+ 31.83

         = $ 342.33

Calculate the mode of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3.

Answers

Answer:

the Mode Is 3

Step-by-step explanation:

You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode

find the difference 25 - (-3) =

Answers

Answer:

28

Step-by-step explanation:

Subtracting a negative is like adding

25 - -3

25+3

28

Answer:

28

Step-by-step explanation: Not sure about this, but technically the question is written wrong. The "difference" is a form of subtraction, and if you simplify your question you get a question to do with addition.

25-(-3)

= 25+3   (since negative and negative makes positive)

=28

PS  Again, not sure about this question.

6y−3=57 what does y equal

Answers

Answer:

y = 10

Step-by-step explanation:

6y−3=57

6y = 60

y = 10

which of the following is NOT true about a parallelogram?

Answers

Answer:

Any two consecutive angles are complementary.

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

Opposite sides of a parallelogram are parallel, Opposite sides are congruent. Opposite angles are congruent.

OAmalOHopeO

Find the value of x.
Round to the nearest tenth.
Х
120°
10
x = [?]

Answers

Answer:

X is 11.8

Step-by-step explanation:

You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!

Drag each tile to the correct box.
Order the expressions from least value to greatest value.

Answers

Answer:

I think thats the answer. Check it. (:

Step-by-step explanation:

-2.2x3.4= -74.8

42/-6= -7/10

-3 3/5-( 3 1/10)= -21/10

-2 3/4+(3 1/6)= -2

!I might be wrong!

Someone check this!

Thank you!

Simplify the expression using trigonometric identities: sec (–θ) – cos θ.

Answers

Answer:

Step-by-step explanation:

Let's break this down. The secant of a negative angle is the same as the secant of the positive angle. This is because secant is the inverse of cosine, and cosine is an even function. f(-x) = f(x) if the function is even, and f(-x) = -f(x) if the function is odd. Sine is odd and has symmetry about the origin; cosine is even and has y-axis symmetry.

Therefore, sec(-θ) = sec(θ) and we have then

sec(θ) - cos(θ). Since secant is the inverse of cosine, we can write:

[tex]\frac{1}{cos\theta}-cos\theta[/tex] and finding a common denominator:

[tex]\frac{1-cos^2\theta}{cos\theta}[/tex] and using a trig identity:

[tex]\frac{sin^2\theta}{cos\theta}[/tex] and simplify that down a bit by breaking it up:

[tex]\frac{sin\theta}{cos\theta}*sin\theta[/tex] finally boils down to

tanθ · sinθ, the last choice there.

simplify 2- 5/8 and -2 3/5 A. -6 33/40 B. 4- 3/8 C. 4 3/8 d. 6 33/40

Answers

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]-2\dfrac{5}{8}*(-2\dfrac{3}{5})=\dfrac{-21}{8}*\dfrac{-13}{5}\\[/tex]

                    [tex]=\dfrac{(-21)*(-13)}{8*5}\\\\\\=\dfrac{273}{40}\\\\=6\dfrac{33}{40}[/tex]

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