Subtract the complex numbers.

(5 + 4i) - (7 + 8i)

Answers

Answer 1

Answer:

Step-by-step explanation:

5 + 4i - 7 - 8i

-2 - 4i


Related Questions

Help someone please

Answers

Answer:

a) 2/3

b) 1/9

c) 52/99

d) 2/11

e) 743/999

f) 29/111

Step-by-step explanation:

Take the recurring numbers (numbers after the decimal). If there is one recurring number place it over 9, if there are two then place them over 99, if there are three then place them over 999 etc.

Then simplify (if possible).

a) 6/9 = 2/3

b) 1/9

c) 52/99

d) 18/99=2/11

e) 743/999

f) 261/999=29/111

helppppppppppppppppppppppppppp

Answers

Area of cylinder = 2 pi r h + 2 pi r^2
= 2 * 3.14 * 4 * 12 + 2 * 3.14 * 4^2
= 301.44 + 100.48
Area of cylinder = 401.92 cm^2

plsss help me solve question 2

Answers

I think it’s 305 ft if I did it right but I could be wrong

If you pay $1.49 a pound for chicken and 2/3 of the weight is bone. How much are you paying per pound of meat?

Answers

9514 1404 393

Answer:

  $4.47 per pound

Step-by-step explanation:

Your cost is ...

  $1.49/(1/3 lb) = $1.49×(3/1)/lb = $4.47/lb

solve for e

3 + 8e + 5 = -3e +13 + 10e

Answers

3+8e+5=-3e+13+10e

combine like terms

9+8e=7e+13

subtract 9 from both sides

8e=7e+4

subtract 7e from both sides

e=4

HOW DO YOU GRAPH USING LINER PROBLEMS

Answers

Answer:

You need to plot points onto the graph

Step-by-step explanation:

It takes only 2 points to draw a graph of a straight line. In other words, if we can find two points that satisfy the equation of the line, then the line can be accurately drawn. But it can be more than 2 points as well. IT CANNOT BE 1. Just 1 point can fo anything at all. You cannot make a linear line or a line in general with just one point. You need 2 or more to make a line.

You need to plot points onto the graph hopefully this helps

John has two different sugar syrups. Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water. How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

Answers

Answer:

Volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts .

Step-by-step explanation:

Syrup A : 2 parts sugar , 8 parts of water .

Total = 10 parts

Syrup B : 3 parts sugar , 5 parts of water .

Total = 8 parts .

Mixture required 280 quarts , 3 parts sugar , 7 parts water

In 280 quarts , sugar = 280 x 3  / ( 3 + 7 )

sugar = 84 parts

Let volume of syrup A be x , volume of syrup B = 280 - x

sugar A =  2 x / 10 = 0.2 x

sugar B = 3 ( 280 - x ) / 8 = .375 ( 280 - x )

Total sugar =  .2 x + .375 ( 280 - x ) = 84 .

.2 x + 105 - .375 x = 84

105 - 84 = .375 x - .2 x = .175 x

.175 x = 21

x = 21 / .175 = 120

Volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts .

John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

Given that,

John has two different sugar syrups.

Syrup A is 2 parts of sugar and 8 parts of water, and Syrup B is 3 parts of sugar and 5 parts of water.

We have to determine,

How much of each should john mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

According to the question,

Syrup A: 2 parts sugar, 8 parts of water.

Total number of parts = 10 parts

Syrup B : 3 parts sugar, 5 parts of water.

The total number of parts  = 8 parts.

The mixture required 280 quarts, 3 parts sugar, 7 parts water,

In 280 quarts, parts of sugar are,

[tex]= \dfrac{280 \times 3 }{ ( 3 + 7 )}\\\\= \dfrac{280 \times 3}{10}\\\\= 84[/tex]

 

Let the volume of syrup A be x,

And the volume of syrup B be 280 - x

[tex]Sugar\ A = \dfrac{2x}{10} \\\\Sugar \ A = 0.2 x[/tex]

[tex]Sugar \ B = \dfrac{3 ( 280 - x ) }{8 }\\\\Sugar \ B= .375 ( 280 - x )[/tex]

The total amount of sugar is,

[tex]0.2 x + 0.375 ( 280 - x ) = 84 \\\\0.2 x + 105 -0 .375 x = 84\\\\105 - 84 = 0.375 x - 0.2 x = 0.175 x\\\\ 0.175 x = 21\\\\x = \dfrac{21}{0.175}\\\\x = 120[/tex]

Therefore,

The volume of syrup A = 120 quarts

Volume of syrup B = 280 - 120 = 160 quarts

Hence, John mixes 120 quarts of syrup A and 160 quarts of syrup of B together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water.

For more details, refer to the link.

https://brainly.com/question/11921451

Select all the correct answers.

Janine needs to calculate the value of log , 81

Which expressions could she input into her calculator to find this value?

In 81

12



in 81

In 12

log 81

log 12

log 81

In 12

log 12

log 81

Answers

Answer:

In 81 / In 12 ;

log 81 / log 12

Step-by-step explanation:

Log 12 81

Log 81 base 12

According to rule of logarithm :

Log 81 base 12 = (log 81 base 10) / log 12 base 10)

Obtaining the value :

(log 81 base 10) / log 12 base 10) = 1.7684564

Using trial and error method :

log 81 / In 12 = 0.7680308

In 81 / In 12 = 1.7684564

In 81 / 12 = 0.3662040

Hence, the correct answers are :

In 81 / In 12

log 81 / log 12

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly correctly without making mistakes

Answers

Answer:

648 cups, 3 fluid ounces

Step-by-step explanation:

You need to know that 1 cup = 8 fluid ounces (fl. oz).

convert to fl. oz:

1296 cups = 10368 fl.oz.

total fl.oz. = 10368+6 = 10374

10374 / 2 = 5187 fl.oz.

= 648 cups and 3 fluid ounces

Solve the Equation

P + 75 = 100.

Answers

Answer:

P= 25 so

25+75= 100

Step-by-step explanation:

100-75

Answer:

P=25

Step-by-step explanation:

P+75=100

  -75  -75

_________

P=25

liters = 5,000 milliliters

Answers

Answer:

5 liters

Step-by-step explanation:

1,000 milliliters= 1 liter.

5,000/1,000 is 5 liters

Answer:

5 liters

Step-by-step explanation:

but not sure about answer

I need help plss dont lieplss and thank you

Answers

Answer:

B or C

hope this helps :)

Alyssa's cat weighs 12 pounds, which is 3/8 of the weight of her dog. Use the equation 3/8d=12 to find the weight of Alyssa's dog.

Answers

Answer:

0.5 pounds!

Step-by-step explanation:

3/8=0.375
12/0.375=32

Her dog is 32 pounds

Natalie bought a 3 - pack of erasers for $1.47. How much did each eraser cost?

Answers

Answer:

Each eraser costs $0.49

Step-by-step explanation:

If three erasers cost $1.47, and you have to find the value of one eraser, all you have to do is divide $1.47 by three.

1.47 ÷ 3 = 0.49

To prove this, you can multiple 0.49 by three.

0.49 × 3 = 1.47

Therefore, your answer will be $0.49 per eraser.

(Remember to add the money symbol because some hardcore teachers won't accept the answer without it, or will deduct points. The symbol looks like this: $)

Answer:

$0.49

Explanation:

1.47 divided by 3 is 0.49.      

°ω°  

:⊃

°∨°

13/x = 6/20 solve for x

Answers

The correct answer is

[tex] = \frac{130}{3} [/tex]

Q. One yard equals three feet. How many
yards are there in 63 feet? Type your
answer in the box
yards.

Answers

Answer:

21 yards

Step-by-step explanation:

There will be 21 yards in 63 feet of the measurement.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that one yard is equal to three feet. There are 63 feet of measurement.

The value of 63 feet in yards will be calculated as:-

1 yard = 3 feet

1 feet = 1 / 3  yards

63 feet = ( 63 / 3 ) yards

63 feet = 21 yards

Therefore, there are 21 yards in 63 feet of the measurement.

To know more about an expression follow

https://brainly.com/question/358500

#SPJ2

Find the solution of the system of equations.
6x – 3y = -30
3x – 6y = 12

Answers

Answer:

Step-by-step explanation:

6x – 3y = -30

3x – 6y = 12

Multiply the top equation by 2 and write the bottom equation under it.

12x - 6y = - 60

3x - 6y =   12        Subtract

9x = - 72                 Divide by 9

x = - 72/9

x = - 8

6x - 3y = - 30

6*-8 - 3y = -30

-48 - 3y = - 30         Add 48 to both sides.

-3y = - 30 + 48

-3y = 18                   Divide by -3

y = -18/-3

y = -6

The ratio of girls to boys in Lizas classroom is 5 to 4 how manny girls are in her classroom if there is a total of 27 students.

Answers

Add the ratios: 5 + 4 = 9

Divide total students by 9:

27/9 =3

Girls are listed first so the 5 part of the ratio is girls.

Multiply 5 by the 3 from above:

5 x 3 = 15

There are 15 girls.

Answer:

There are 12 girls in the classroom because if you take 4+4+4=12 and you do the same with 5 so 5+5+5=15 then add them together you get 27. So, therefore, your answer would be 12

Step-by-step explanation:

4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer

Answers

Step-by-step explanation:

let the angles be ' 7x, 8x and 5x'

as we know, the sum of all the angles of a triangle is 180 degree, so,

7x + 8x + 5x = 180

20 = 180

x = 180/2

x = 90 degrees

7x = 7 × 90 = 630 degree

8x = 8 × 90 = 720 degrees

5x = 5 × 90 = 540 degrees

therefore, 5x is the smallest degrees

Question 4
0/20 pts
PLEASE HELP!!!: The slope of a line is –3 and the
y-intercept is (0,4). What is the
equation of the line in slope-intercept
form?

Answers

9514 1404 393

Answer:

  D.  y = -3x +4

Step-by-step explanation:

The slope-intercept form is ...

  y = mx + b

where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...

  y = -3x +4 . . . . . matches choice D

Which graph represents y = Two-thirdsx + 3?
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 3).
On a coordinate plane, a line goes through points (0, negative 3) and (4, 0).
On a coordinate plane, a line goes through points (negative 3, 1) and (0, 3).
On a coordinate plane, a line goes through points (0, 3) and (3, 1).

Answers

Answer:

c edge 2021;)

Step-by-step explanation:

What lines are perpendicular to 3x+6y=5

Answers

Answer:

u means that to make the equations

Answer:

the line on the point 1.2 and 4.5

Step-by-step explanation:

Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?​

Answers

Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆[tex]y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } [/tex]

☆Using the information we gathered and was given, we just to put them together.

☆[tex]y = 4x - 1[/tex]

Answer:

y=4x-1

Step-by-step explanation:

Question 5
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
6
11
X

Answers

Step-by-step explanation:

a^2 + b^2 = c^2

a = 6

b = x

c = 11

6^2 + b^2 = 11^2

36 + b^2 = 121

b^2 = 121 - 36

b^2 = 85

Find the square root of both sides.

b = 9.22

⅛ ÷ 2




Please help! I need to remember this!

Answers

Answer:

1/16

Step-by-step explanation:

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

For this type of problem, I do KCF (Keep, Change Flip)

⅛ ÷ 2

Keep the fraction (⅛)

Change the sign to a multiplication (×)

Flip the "2" to its reciprocal ([tex]\frac{1}{2}[/tex])

Now we have a new expression

[tex]\frac{1}{8}[/tex] × [tex]\frac{1}{2}[/tex]

Now we multiply from across

The numerator × Numerator

The denominator × denominator

1 × 1 = 1

8 × 2 = 16

Our answer will be....

[tex]\frac{1}{16}[/tex]

Hope this helped!

Have a supercalifragilisticexpialidocious day!

The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.

Answers

Answer:

49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49

write the number seventeen thousand and forty-eight in figures

Answers

Answer:

17 048

hi lets be freinds pleeease

Step-by-step explanation:

Seventeen thousand is 17,000 ( 5 figures)
Fourth eight is 48 (2 figures)
add them up 17,000+48 = 17048

You deposited $125 in a savings account that earns a simple interest rate of
1.75% per year. You earned a total of $8.75 in interest. For how long was your
money in the account?​

Answers

9514 1404 393

Answer:

  4 years

Step-by-step explanation:

Each year, the interest earned is ...

  0.0175 · $125 = $2.1875

Then the time it took to earn $8.75 in interest was ...

  $8.75/(2.1875/year) = 4 years

One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of games the team lost.

Answers

Answer:

Step-by-step explanation:

20 + g = 25

-20        -20

        g = 5

A boat has a top speed of 26 knots and a displacement of approximately 96000 tons. Express the top speed in miles per hour and the displacement in metric tonnes.

Answers

Answer:

29.92 miles per hour

87,089.76 metric tonnes

Step-by-step explanation:

Given that the top speed is 26 knots, recall that

1 knot = 1.15078 miles per hour

Hence,

26 knots = 26 * 1.15078

= 29.92028 miles per hour

To 2 decimal places

=29.92 miles per hour

Given that the boat has a  displacement of approximately 96000 tons, in metric tonnes...

Recall that

1 ton = 0.907185 metric tonnes

As such,

96000 tons = 0.907185 * 96000

= 87,089.76 metric tonnes

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