Simplify: (6-21i)-(1-7i)

Answers

Answer 1

Answer:

-14i + 5

Step-by-step explanation:

( 6 - 21i ) - ( 1 - 7i )

6 - 21i - 1 + 7i

-21i + 7i + 6 - 1

-14i + 5


Related Questions

How many solutions does this equation have?
a + 3 + 2a = -1+ 3a + 4

Answers

Answer:

Infinite

Step-by-step explanation:

Hope that this helps!

Answer:

Step-by-step explanation:

2 or 3 im not v sure tho

You randomly choose one of the tiles and flip the coin. Find the probability of the compound event. The probability of choosing a blue tile and tails

Answers

Answer:

2/7

Step-by-step explanation:

The probability of getting tails is 1/2 or 50%;

There are 7 tiles, 4 of them are blue; getting a blue tile has a 4/7 probability.

Multiply the fractions:

1/2*4/7= 4/14 or 2/7

The sides of a polygon are 3cm,5cm,6cm,8cm and 10cm.The perimeter of a similar polygons is 48cm.Find the sides of the second polygon.

Answers

Answer:

[tex]a'=4.5[/tex]

[tex]b'=7.5[/tex]

[tex]c'=9[/tex]

[tex]d'=12[/tex]

[tex]e'=15[/tex]

Step-by-step explanation:

From the question we are told that:

Sides of Polygon 1

 a=3

 b=5

 c=6

 d=8

 e=10

Perimeter of polygon 2 P_2=48

Generally the equation for Polygon 1 is mathematically given by

 P_1=a+b+c+d+e

 P_1=3+5+6+8+10

 P_1=32

Generally the sides of similar polygon with Perimeter P_2=48 is mathematically given by

Side\ of\ polygon\ 2 =\frac{side\ of\ polygon\ 1}{perimeter\ of\ polygon\ 1}*perimeter\ of\ polygon\ 2

Therefore

[tex]a'=\frac{a}{P_1}*P_2\\a'=\frac{3}{32}*48[/tex]

[tex]a'=4.5[/tex]

[tex]b'=\frac{b}{P_1}*P_2\\b'=\frac{5}{32}*48[/tex]

[tex]b'=7.5[/tex]

[tex]c'=\frac{c}{P_1}*P_2\\c'=\frac{6}{32}*48[/tex]

[tex]c'=9[/tex]

[tex]d'=\frac{d}{P_1}*P_2\\d'=\frac{8}{32}*48[/tex]

[tex]d'=12[/tex]

[tex]e'=\frac{e}{P_1}*P_2\\e'=\frac{10}{32}*48[/tex]

[tex]e'=15[/tex]

I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.​

Answers

Annually compoudning interest formula

PV(1+i)ⁿ

4000(1+.0775)¹⁰=8437.869021

which rounds to

$8437.87

If you were to do this on a financial calculator it would look like this:

N=10

I/Y=7.75

PV=4000

PMT=0

CMPT FV = same answer

Yup you just need to know the formula and plug in your numbers but first know the difference between interest and compound to know which formula you choosing ! Use a calculator most likely an app Calculate84 is a life saver ^^^ all the luck

maya cuts a piece of wood into two parts, the first part is 25 cm longer than the second part, .the original length of the wood is 85 cm.how long is each part of the wood?​

Answers

85=x +25+x
85=2x +25
60=2x
30=x
So the smaller piece of wood is 30 cm: the other piece is 55cm long

Four times a number is greater than 48. What are the possible values for the
number?

Answers

Answer:

Any number greater than 12 but not including 12

Step-by-step explanation:

hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

this is a very easy question all you have to know is your times table.

the working is shown below:

12

×4

--------

48

---------

OR

------

12×4= 48

Write an inequality for the following.
Jackie spent no more than $40 on a video

Answers

Answer:

x ≥ $40

Step-by-step explanation:

Jackie didn't spend more than $40 on a video.

x ≥ $40

Camden needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The studio charges $50 per hour of use and the total cost charged for 5 hours is $700. Write an equation for the function P ( t ) , P(t), representing the amount of money Camden would have to pay to use the studio for t t hours.

Answers

Answer: [tex]P(t)=450+50t[/tex]

Step-by-step explanation:

Given

Studio charge $50 per hour and fixed charge for initial use

For 5 hours, it charges $700

Suppose x is the fixed charge

[tex]\therefore 700=x+50\times 5\\\Rightarrow x=700-250\\\Rightarrow x=\$450[/tex]

For t hours, studio charges

[tex]\Rightarrow P(t)=450+50t[/tex]

The volume of a cylinder is given 235.5 ft cubed if the radius is given as 5ft find the height.plz help me

Answers

Answer:

3

Step-by-step explanation:

235.5=pi5^2h

solve for h by multiplying pi5^2 to get 78.5 then divide 235.5 by 78.5

You make a bet on a horse race. There's a 10% chance of making $300 and a 5% chance of making $500. There's an 85% chance of losing $75. What's the expected value of this bet?

Answers

425 or 225 i think im not really sure

Find the volume of the figure below. Round your answer to the nearest hundredth if necessary.
9 km
5 km
5 km
5 km
5 km
Оа
280 km
Ob
320 km
Ос
225 km
Od
272 km

Answers

Answer:

C. 225 km3

Step-by-step explanation:

Can someone plz answer these 2 questions plz? I'll give brainliest

Answers

Answer: gaming

Step-by-step explanation: gaming is a good sport

The data set shows the ages of everyone in a dance class.
5, 24, 24, 24, 24, 24, 24, 25, 25
Select the statement that correctly describes the data.

A. The typical value is 5 because it is the minimum.

B. The typical value is 9 because that is the total number of people.

C. The typical value is 24. Most values are close to 24, except 5, which is an extreme value.

D. The typical value is 25 because it is the maximum.

Answers

C because the most shown value is 24

In this rectangle, find m angle DEC.
Please help me!!!!

Answers

Answer:

118°

Step-by-step explanation:

EDC is 31° and ECD has the same measure. (Triangle DEC is isosceles)

The total sum of angle EDC and ECD is 31 + 31 = 62°

The total sum of all the angle measures in a triangle is 180°, so just subtract 62 from 180 to get the measure of angle DEC.

180 - 62 = 118°

Allison drew 3 triangles, 5 hexagons, and 4 octagons.
How many line segments did she draw?

A. 81
B. 72
C. 71
D. 68

Answers

Answer:

D 68

Step-by-step explanation:

I think that's the answer

Answer:

71

Step-by-step explanation:

3×3 = 9

5×6 = 30

4 × 8 = 32

30+32+9= 71

Help me please I will give you a heart and rate if u do.

Answers

The answer is D, multiply all those numbers together.

Answer:

(B). 1240 cm²

Step-by-step explanation:

How do I find the indicated value for this problem?

Answers

Answer:

t_n =a +(n-1)d

t_100 = 2+ (100-1)6

= 2+99× 6

= 2 +594

= 596

What is the slope of the line in the graph?

Answers

Answer:

m=0

Step-by-step explanation:

1. Find the measure of arc ABC
please show ur work

Answers

Is there arc length or may be radius

What’s the quotient of 5,045 divided by 23

Answers

Answer:

219.347

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

What is the range of this data based on the dot plot?
Life Expectancy by State
74 76
78 80 82
Years

Answers

182=288 so 74 76 78 80 82 ×2 == 76 78 80 82 84 ans the range is 2920

the table describes some of the solutions of the inequality 3m>21. Which graph best describes the solutions of 3m>21?

Answers

Answer:

Option 3

Step-by-step explanation:

Given inequality is,

[tex]3m\geq 21[/tex]

To find the solutions of the given inequality solve this inequality first.

[tex]\frac{3m}{3}\geq \frac{21}{3}[/tex]

[tex]m\geq 7[/tex]

This inequality will be represented by an arrow starting from 7 and directing towards infinity.

Since, inequality is having a sign notation of greater than equal to, arrow will start with a dark circle located at 7.

Therefore, Option 3 (from the top) will be the answer.  

help please

12) In the accompanying diagram of circle O, AB is a chord and PQ is a tangent.
Line segment BOC is a diameter and DEOFP is a secant that passes through the center of the circle. ArcDA ArcAC: ArcCF = 2:10:6, and ArcBQ = 80°.
Find:
a) Arc AC
b) m angle ABC
c) m angle COF
d) Arc BD
e) Arc QF
f) m

g) m

Answers

Your looking at c and b a f

Work out the length of x.
Give your answer rounded to 3 significant figures.
х
10.5 mm
1.6 mm
The diagram is not drawn accurately.
mm

Answers

1.6mm cuz yes and if wrong my bad g

Which expression shows the result of applying the distributive property to 9(2 + 5m)?
• 2 + 45m
O 18 + 45m
O 11 + 14m
18 + 5m

Answers

Answer:

18+45m

Step-by-step explanation:

You multiply when applying the distributative property:

9(2+5m)

18+45m multiply 9 by each value in parentheses

15 x b = 60 explanation

Answers

Answer:

x = 4

( if you need a better explanation ask me and i'll give you a different one) :)

Step-by-step explanation:

15 x b = 60

15 x b divided by 15 = 60 divided by 15 to get the 15 from one side to the other

x=4

your basketball team plays 5 games your team scores 10 points in first game 3 points in the second game 2 points in the third game 5 points in the fourth game and 0 points in the fifth game what was the mean number of points your team scored for all five games ?

Answers

Answer:

The mean is 4

Step-by-step explanation:MRK ME BRAINLIEST PLZZZZZZZZZZZZZz

ita 4 because first you add up the 10,3,2,5,0. and then it equals 20 and then divided and get the mean which is 4

Answer:

4 points

Step-by-step explanation:

is the answer

One evening, Mr. Smith, Sam, and Sydney went to see the Myrtle Beach Pelicans’ Game. They each bought a ticket and a hat that cost $10 each. How much was each ticket to enter the ballpark?

Answers

Answer:

You can't answer this question without knowing the total amount of money they all had in total.

Naim added 30 to the number of fish Connor had in his fish tank for a total of 52 fish in the tank which equation can be used to find the original number of fish Connor had in his tank

Answers

Answer:

30+ X = 52

Step-by-step explanation:

Answer:

x+30=52

or 52-30

Step-by-step explanation:

I know 2nd grade math.

Subtract 30 from 52.

Kanisha shoots a basket every 7 seconds. Thomas shoots a basket every 12 seconds. They begin at the same time. How many seconds will have passed when they next shoot a basket at the same time? ​

Answers

Answer:

84 seconds

Step-by-step explanation:

7    12

14    24

21    36

28     48

35     60

42     72

49    84

56

63

70

78

84

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