perform the operation (1-2i)-(7+4i)

Answers

Answer 1

Answer:

-6(1+i)

Step-by-step explanation:

Let's open the bracket

(1-2i)-(7+4i)

Open the bracket first

(1-2i)-7-4i

1-2i-7-4i

Collect like terms

1-7-2i-4i

-6-6i

Let's factorise

-6(1+i)

So the final answer is

-6(1+i)


Related Questions


Evaluate
1/3 ÷ 2/5 =
Give your answer as a fraction in its simplest form.

Answers

Answer:

5/6

Step-by-step explanation:

Since 1/3÷2/5 can also be written as 1/3/2/5

So the ÷ can then be converted to × and 2/5 will change to 5/2

So let's solve

1/3×5/2

5/6

Since there is no common number that can divide the two

So the final answer is 5/6

Answer:

5/6

Step-by-step explanation:

1/3 divided by 2/5 is 2 1/2

this is because when you do this you use KCF

Keep Change Flip

you keep 1/3

change the sign to times

and flip the last fraction around to 5/2

20 POINTS, PLS HELP!!! BOGO (buy one, get one free) is an example of _____.

(Select all that apply.)

a sale

an incentive

a discount

income

Answers

Answer: Sale & discount :)
BOGO is an example of a sale!

I hope this helped! Mark me Brainliest! :) -Raven❤️

need math help asap:)

Answers

Answer:

12

Step-by-step explanation:

8/6 = 1.333333333

That is the scale factor

then you mulitply by 9

9*1.3333333333=12

plz mark brainliest

Victor is keeping track of how many calories he eats. On Friday, he ate 3 cookies at snack time and 2,000 calories with his meals. On Saturday, he ate 5 cookies at snack time and 1,820 calories with his meals. If Victor ate the same amount of calories both days, how many calories are in each cookie?

Answers

Each cookie is 90 calories. Put it into an equation like 3x+2000=5x+1820 and solve for x

Jen uses 8.6 gallons of gasoline to drive 164.7 miles. Which is the best estimate for thenumber of miles per gallon of gasoline her vehicle gets?

A. 10 miles per gallon

B. 16 miles per gallon

C. 20 miles per gallon

D. 30 miles per gallon

Answers

Answer:

C

Step-by-step explanation:

164.7/8.6 = 19.15

about 20 miles per gallon

The best estimate of the rate of fuel consumption is C, 20 mi/gal

Which is the best estimate for thenumber of miles per gallon of gasoline her vehicle gets?

To estimate the rate between miles and gallons, we just need to take the quotient between the given distance and the volume of gasoline consumed. Then we will get the rate:

R = 164.7mi/8.6 gal

R = 19.4 mi/gal

The closest value is the one at option C, which is 20 miles per galon.

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write (2y)^3 without exponents

Answers

2y•2y•2y


EXPLANATION:
because if it is to the third power it is multiplied three times. If it is (5c)^3 it would be 5c•5c•5c

One eighth of the number of raisin bagels sold on Friday were sold on Saturday. How many raisin bagels were sold on Saturday? There are 32 raisin bagels​

Answers

Answer:

The answer is 4.

Step-by-step explanation:

The answer is 4, 1/8 of 32 is 4.

4 Raisin Bagels were sold on Saturday

Hope this helps!:)

4 raisin bagels were sold on Saturday.

the sum of the digits 2014 is 7. How many whole numbers between 100 and 999 have 9 as the sum of their digits?

Answers

Answer:

45

Step-by-step explanation:

this should be correct :)

There are 9 in the 100's

108

117

126

135

144

153

162

171

180

There are 8 in the 200's  (starting to see a pattern?)

207

216

225

234

243

252

261

270

There are 7 in the 300's

306

315  

324

333

342

351

360

9+8+7+6+5+4+3+2+1 = 45

Final answer:

To find the number of whole numbers between 100 and 999 with a sum of 9 as their digits, we can use combinations. By selecting the digits using the given steps, we find that there are 50 such numbers.

Explanation:

To find how many whole numbers between 100 and 999 have 9 as the sum of their digits, we can use the concept of combinations. We can select 3 digits (from 0 to 9) to form a number, and there are 10 choices for each digit. However, we need to consider the constraint that the sum of the digits should be 9. So, we can select the digits such that the first digit and second digit will have a sum of 9, and the third digit will also be 9. This can be done in the following steps:

Select a number from 0 to 9 for the first digit.Select a number from 0 to the remaining digits to get a sum of 9 (e.g., if the first digit is 5, then we can choose the second digit from 0 to 4).The third digit should always be 9 to satisfy the condition.

Applying these steps, we have 10 choices for the first digit, 5 choices for the second digit (since the second digit cannot be greater than the first digit to achieve a sum of 9), and only 1 choice for the third digit. Therefore, the total number of whole numbers between 100 and 999 with a sum of 9 as their digits is 10 * 5 * 1 = 50.

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what is the distance between (0,-1), (5,1)​

Answers

Answer:

square root of 29 or approximately 5.38

Here you go! I hope this helps.

Which function is a translation of the parent absolute value function?
f(x) = 2lx|
f(x) = lX+6l
f(x) = |x|
f(x) = -4lxl

Answers

f(x) = |x + 6| As this will move 6 to the left.

Answer:

Answer is B on Edge 2021

Step-by-step explanation:

Vanessa is a caterer. she made several batches of appetizers last weekend for an event. this weekend, vanessa made 4 times as many batches. she made a total of 25 batches of appetizers for the two weekends. determine the number of batches vanessa made last weekend and the number of batches she made this weekend. let b= the number of batches of appetizers vanessa made last weekend.

Answers

Answer:

100 x 13/16 x 25b =4

18 3/4 = 25b/4

b=25/4

b= 6.25

Step-by-step explanation:

25/4 = 6 1/4 last weekend and 18 3/4 this weekend.

A 270-mile highway has a toll booth at the beginning, a toll booth every 45 miles, and then a final toll booth at the end. A
passenger vehicle must pay a $2.75 toll each time that it passes by a toll booth. There are no additional tolls when exiting
the highway.
Josh entered the turnpike at its beginning and exited after driving 120 miles. How much in toll fees did Josh have to pay?

Answers

Answer:

$8.25

Step-by-step explanation:

270 sectioned out by 45s is 7 toll booths on the highway. That means theres a toll booth at 0 mi, 45, 90, 135, 180, 225 and 270 mi. If Josh exits after 120 mi, he only hits the booth at the beginning and then the last one at 90 mi because he doesn't reach the next one at 135 mi. $2.75 per toll booth and if he passed 3, then 2.75 x 3 = $8.25.

This should be correct, hope it helps. :)

The length of a rectangular block is 20 inches. Its width is half its length.
Its height is half its width. What is the surface area of the block?

Answers

Answer:

width is 10 and the height is 5

Step-by-step explanation:

when divide 20 by 2 it gives you 10 and if you divide 10 by 2 it gives you 5 hope i helped

What is 8/10 x 1/2= ??

Answers

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Step 1:  Multiply

[tex]\frac{8}{10} * \frac{1}{2}[/tex]

[tex]\frac{8*1}{10*2}[/tex]

[tex]\frac{8}{20}[/tex]

[tex]\frac{8/4}{20/4}[/tex]

[tex]\frac{2}{5}[/tex]

Answer:  [tex]\frac{2}{5}[/tex]

Answer:

[tex]\frac{4}{10}[/tex]

Step-by-step explanation:

[tex]\frac{8}{10}[/tex] x [tex]\frac{1}{2}=\frac{4}{10}[/tex]

[tex]\frac{8(1)}{10(2)}=\frac{4}{10}[/tex]

[tex](0.8)0.5=0.4[/tex]

One half of 0.8 is 0.4.

What is the range for this set of data?
7, 15, 12

Answers

Answer:

8.

Step-by-step explanation:

To find the range, take your largest number and subtract it to

your smallest number. 15-7 is 8. Therefore, your range is 8.

Answer:

8 is the range

Step-by-step explanation:

Step 1:  Find the range

To find the range, subtract the lowest number from the highest number.

Example:  5, 9, 15

What is the highest number → 15

What is the lowest number → 5

What is the range 15 - 5 = 10 is the range

Problem:  7, 15, 12

What is the highest number → 15

What is the lowest number → 7

What is the range 15 - 7 = 8 is the range

Answer:  8 is the range

help i got 10 min left

Answers

Answer:

20 mins

Step-by-step explanation:

Answer:

f.6

Step-by-step explanation:

God bless whoever soul that answers this

Answers

Answer:

Step-by-step explanation:

What is the range of h(x)?

Answers

Answer:

multiply

Step-by-step explanation:

URGENT DUE TODAY!!! PLEASE HELP!!! i will give brainliest

Answers

Answer:

180 centimeters

Step-by-step explanation:

First, you have to make these into 2 different shapes. Two different prisms. You can see all the dimensions on the right shape, but not the left. How do you know the width? Well, since the width is the same for the WHOLE figure, the width for both shapes is the same. To find the volume of a rectangular prism, you need to multiply the length, width, and height.

Length * height * width

Shape 1: [tex]8 * 3 * 5 = 120[/tex] cm

Shape 2: [tex]2*6*5=60[/tex] cm

Then, you add the volumes of the 2 shapes to get the final volume.

120 + 60 = 180 cm

An icicle has a volume of 3,769.91 mm3. If the icicle drips at a rate of 75 mm3 per minute, how long will it take the icicle to completely melt?

In 5 minutes, the icicle will lose 375 mm3 of volume.

How much volume is left after 10 minutes?


About how many minutes will it take for the icicle to completely melt? Round to the nearest tenth.


Answers

Answer: The first question (How much volume is left after 10 minutes) is C or 3,019.92 cubic millimeters. The second question (About how many minutes will it take for the icicle to completely melt? Round to the nearest tenth) is B or 50.3 minutes.

Step-by-step explanation:

It will take 50.2 minutes for the icicle to completely melt.

How to Find out how many minutes will it take for the icicle to completely melt? Round to the nearest tenth.

Given that An icicle has a volume of 3,7369.91 mm3.

If the icicle drips at a rate of 75 mm3 per minute

then the full volume of 3,769.91 mm3 drips at = 3,769.91mm^3/75mm^3

=> 50.2654 mins.

which is equal to 50.2 to the nearest 10th.

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5.10^6 is how many times as large as 5.10^4

Answers

105 = 10 x 10 x 10 x 10 x 10 = 100,000 (5 zeros)

108 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 (8 zeros)

Notice that the number of zeros in the ordinary decimal expression is exactly equal to the power to which 10 is raised.

If the number is expressed in words, first write it down as an ordinary decimal number and then convert. Thus, "ten million" becomes 10,000,000. There are seven zeros, so in powers of ten notation ten million is written 107.

A number which is some power of 1/10 can also be expressed easily in scientific notation. By definition,

1/10 = 10-1 ("ten to the minus one power")

More generally, the expression "10-n" (where n is a whole number) means ( 1/10 )n. Thus

10-3 = ( 1 / 10 )3 = 1 / ( 10 x 10 x 10) = 1/1000

10-8 = ( 1 / 10 )8 = 1/100,000,000

Create a table of values for the equation Y= 2/7x + 3

Answers

here this is the answer

MATH!!! I HAVE NO IDEA HOW TO DO THIS PLEASE SHOW ME THE WORK I WANNA KNOW HOW TO DO THIS FOR THE NEXT QUESTION!!!!​

Answers

PLEASE MARK BRAINLIEST!

Answer:

Sorry I'm late!

Step-by-step explanation:

Formula ⇒ [tex]A = \frac{1}{2}bh[/tex]

[tex]A = \frac{1}{2}bh[/tex]

[tex]A = \frac{1}{2}(5)(7)[/tex]

[tex]A = \frac{1}{2}(35)[/tex]

[tex]A = 17.5[/tex]

The Area of the face of the triangle is 17.5 in²

I hope this helps!

- sincerelynini

Which shows the image of quadrilateral ABCD after the transformation R0 90?

Answers

Answer:

second picture

Step-by-step explanation:

The rule to rotate a point counterclockwise about the origin is:

Or in words, we switch the coordinates of the point and change the sign of the y-coordinate.

We know from the first picture that the coordinates of our quadrilateral ABCD are A = (-1, 0), B = (0, -1), C = (-2, -3), and D = (-3 , -2), so let's apply the rotation rule to each one of those points:

Now we know that the coordinates of the quadrilateral after a rotation of 90° are A' = (0, 1), B' = (1, 0), C' = (3, -2), and D' = (2, -3), which corresponds to the second picture

Answer:

b.

Step-by-step explanation:

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=54°, and RS = 26 feet. Find the length of QR to the nearest tenth of a foot.​

Answers

You may use the law of sines, that states that in every triangle the ratio between a side and the sine of the opposite angle is constant.

So, in your case, we have

[tex]\dfrac{QR}{\sin(\hat{S})}=\dfrac{RS}{\sin(\hat{Q})}[/tex]

We know that [tex]\hat{S}[/tex] is 90 degrees, so its sine is 1. Also, we know that RS=26. So, the equation becomes

[tex]QR=\dfrac{26}{\sin(54)}[/tex]

Answer:

32.1 FT

Step-by-step explanation:

Emerie has $14.75 left on a coffee shop gift card. She purchased a coffee for $4.93 and a cupcake for $1.55. How much money did she spend?

Answers

The answer is $6.48. She spent $6.48 on a coffee and cupcake.

Answer:

she gasted 6.48 money

Step-by-step explanation:

just add 4.93 and 1.55

David swan, biked, and ran in the Camp Race. She biked twice as long as she ran, and swam 15 minutes more than she ran. Her total time for all parts of the race was 1 hour and 35 minutes. How many minutes did David spend on each part of the race?

Answers

Answer:

She biked 40 minutes.She ran 20 minutes.She swam 35 min.

Step-by-step explanation:

since you have 95 minutes for all parts first subtracted 15 from what she swam the you have four equal parts left the time she ram then twice she ran she biked and then the she swam 15 minutes More that she ran so you dived 95-15 which is 80  80/4 is 20 so she ran 20 min so 20 x 2 is 40 for she bike 40 then 20+15 is 35 so 40+20+35=95 an hour an 35 minutes

A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer region is 4 in. What is the area of the outer part of the​ rug?

Answers

Final answer:

To find the area of the outer part of the square rug, calculate the total area using the length of the entire square (x + 8)² and subtract the area of the inner square (x²), yielding (x + 8)² - x² square inches.

Explanation:

The subject of this question is geometry - specifically area calculations in mathematics. The student is asking for the area of an outer part of a square rug. The main rug is comprised of a square within another square, with the side length of the smaller square being x inches and the distance in between the small and large square (representing the outer region) being 4 inches.

To calculate the area of the outer region, first, we need to calculate the side length of the outer (entire) square. This would be x + 2*4 = x + 8 inches (4 inches from each side). The total area of the rug would be squared side length of the outer square, which is (x + 8)² square inches.

Subsequently, the area of the inner part of the rug can be calculated as x² square inches (since it's a square). Therefore, the area of the outer part of the rug would be obtained by subtracting the area of the inner square from the total area of the rug, yielding: (x + 8)² - x² square inches.

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To find the area of the outer part of the rug, we first need to find the area of the entire rug and then subtract the area of the inner square.

Let s be the side length of the outer square.

The area of the entire rug is the area of the outer square:

Area of outer square = [tex]s^2[/tex]

Since the width of the outer region is 4 inches, we know that the side length of the outer square is [tex]\( s = x + (2 \times 4) = x + 8 \).[/tex]

So, the area of the outer square is:

Area of outer square = [tex](x + 8)^2[/tex]

Now, let's find the area of the inner square:

Area of inner square = [tex]x^2[/tex]

The area of the outer part of the rug is the difference between the area of the outer square and the area of the inner square:

Area of outer part = Area of outer square - Area of inner square

[tex]\[ = (x + 8)^2 - x^2 \][/tex]

Now, let's expand and simplify:

[tex]\[ = x^2 + 16x + 64 - x^2 \][/tex]

= 16x + 64

So, the area of the outer part of the rug is 16x + 64 square inches.

What is the Circumference of this circle? Hint: Use the formula A = 2 x pi x r. *
A. 31.4 ft
B. 10 ft
C. 78.5 ft
D. 17.7 ft

Answers

The circumference of a circle is the diameter multiplied by Pi. So, for a circle of 5 cm radius: Diameter is (2r) = 2 (5 cm) = 10 cm. The Circumference = ( d ) ( 10 cm) = 10 (Pi) cm.

Simplify the expression to a single numerical value. 3x2^3 x 2x3^2.
A.144
B.432
C.900
D.5,184

Answers

It’s wants 20 characters lol but the answer is b

Answer:

The answer is B.432

Step-by-step explanation:

When you use a calculator but i used a app and simplified the question

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