Multiply and simplify the following complex numbers:
(5 – 5i) . (-3+5i)

Answers

Answer 1

Step-by-step explanation:

(5 – 5i) . (-3+5i)

=-15+25i+15i-25i²

=-25i²40i-15

Answer 2

Answer:

-25i^2+10i-15

Step-by-step explanation:

(5 – 5i) . (-3+5i)

foil

1)5*-3=-15

2)5*5i=25i

3)-5i*-3=15i

4)-5i*5i=-25i^2

put that all together

-25i^2+15i+25i-15

simplify

-25i^2+40i-15


Related Questions

6/5 divded by (-3/2)

Answers

Answer:

Step-by-step explanation:

6/5 ÷ -3/2 = 6/5 x -2/3

-12/15 = - 0.08

Answer:

− 4/5   or     −0.8

Step-by-step explanation:

jaleia borrows $1500 from the bank. To pay back the loan this year, she will pay the bank the amount she borrowed plus 12% simple interest. Jaleia wants to know the total amount she will pay back
[tex]y \\ [/tex]

Answers

Answer:

asdfasdf

Step-by-step explanation:

Answer:

$1680

Step-by-step explanation:

1500=100%

100+12(interest)=112

112=1.12(multiplier)

1500×1.12=$1680

A student who is training for a distance race jogged for thirty minutes and covered a distance of 7.5 km. What is the average speed of the student?

Answers

Answer:

Average speed is 15km/h

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

we know that the average speed is the average distance divided by time taken

Step two:

mathematically expressed as

speed=distance/time

substituting we have

speed=7.5/0.5

speed=15km/hour

Hence the average speed is 15km/h

166 2/3 percent as a fraction

Answers

Plz mark it brainliest

The fraction is 5000/3.

What is Percent?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is primarily used to compare and determine ratios and is represented by the symbol %.

Given:

166 2/3 percent as a fraction

Now, converting it into fraction

= 500/3 x 100

= 50000/3

Hence, the fraction is 5000/3

Learn more about percent here:

https://brainly.com/question/28840349

#SPJ2

Helps me solve this problem please

Answers

Answer:

(1,1) and (-2,-11) are the correct solutions

Answer:

D. (1, 1) and (-2, -11)

Step-by-step explanation:

A's answers:

Coordinates: (0, -3) and (-1, -1)

Equations when they get solved:

4(0)-3=-3 (correct)

4(-1)-3=-1 (incorrect)

B's answers:

Coordinates: (-2, -5) and (2, 5)

Equations when they get solved:

4(-2)-3=-11 (incorrect)

4(2)-3=5 (correct)

C's answers:

Coordinates: (0, 3) and (3, 9)

Equations when they get solved:

4(0)-3=-3 (incorrect)

4(3)-3=9 (correct)

D's answers:

Coordinates: (1, 1) and (-2, -11)

Equations when they get solved:

4(1)-3=1 (correct)

4(-2)-3=-11 (correct)

What type of correlation is the graph below?
a
no correlation
b
quadratic correlation
c
negative
d
positive

Answers

I think it’s negative but I’m not for sure


Write an equation in Standard Form (Ax +By = C) of a line that passes through the point (2, -3) and has a slope of 4

Answers

Answer:

The standard form of a linear equation is Ax + By = C. When we want to find the slope of the line represented by this equation, we have two options. We can put the equation in slope-intercept form and identify the slope that way, or we can use the formula m = -A/B.

Step-by-step explanation:

The equation of the line in standard form that passes through the point (2, -3) and has a slope of 4 is 4x - y = 5.

To write the equation of a line in standard form (Ax + By = C) that passes through the point (2, -3) and has a slope of 4, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) is the given point (2, -3) and m is the slope (which is 4 in this case). Substitute the values into the equation:

y - (-3) = 4(x - 2)

Now, simplify:

y + 3 = 4x - 8

Next, bring all the terms to the left side of the equation to get the standard form:

4x - y = 8 - 3

Finally, simplify the constant term:

4x - y = 5.

To know more about standard form:

https://brainly.com/question/29000730

#SPJ2

44% of the books are fairy tales. What fraction of the books are fairy tales (Give your answer in simplest form e.g. 10/11)​

Answers

Answer:

[tex]\frac{11}{25}[/tex]

Step-by-step explanation:

44% can also be written as a fraction: [tex]\frac{44}{100}[/tex]

To simplify this fraction, let's divide the numerator and the denominator by 4:

44/4 = 11

100/4 = 25

The simplest form of the fraction of books that are fairytales is [tex]\frac{11}{25}[/tex]

Which one of these words describe mirror image
A.Translation
B.Dialation
C.Reflection
D.Rotation

Answers

Reflection. A reflection is what appears to be the same distance from the other side of the mirror.

A caterer made 4 grilled cheese sandwiches, 7 ham sandwiches, and 6 turkey sandwiches. How many sandwiches did the caterer make in all?

Answers

17. Because 7 plus 4 equals 11 and if you add 6 you get 17

Answer: 17

Just add the Numbers together this is a Addition question.

7 + 6 + 4 Or However you want to do it The answer will always be 17 if u do it as 4 + 6 + 7 or however else just don't add different numbers.

May I Have brainliest?

Show how you would simplify the following expressions. Show your work.

Answers

If you multiply numbers with the same base, their exponents would add while their base stays the same.

1. 3 + (-5) = -2
4^ -2 = 1/4^2 = 1/16

2. -2+ (-4) = -6
3^-6 = 1/3^6 = 1/729

PLEASE HELP 15 POINTS N BRAINLIEST

Answers

Answer:

OK don't worry we will help you get 15 points

a) Find slope (y2-y1)/(x2-x1)
Pick any two points: (5, 500), (10, 100)
(100-500)/(10-5) = -400/5 = -80
Y = -80x + h
Plot in the points
500 = -80(5) + h
500 = -400 + h
h = 900
b) Y = -80x + 900
(I have to go. I’m sure you can do the rest on your on )

Add 19 to ‘a’ and divide the sum by 5, you will get 8

Answers

Answer:

a = 21

Step-by-step explanation:

Given

[tex]\frac{a+19}{5}[/tex] = 8 ( multiply both sides by 5 to clear the fraction )

a + 19 = 40 ( subtract 19 from both sides )

a = 21

A line passes through the point (4, -8) and has a slope of -5/4. Write an equation in slope-intercept form for this line.

Answers

Answer:

The answer is

[tex] \huge y = - \frac{5}{4} x - 3[/tex]

Step-by-step explanation:

To find an equation of a line in when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y + 8 = - \frac{5}{4} (x - 4) \\y + 8 = - \frac{5}{4} x + 5 \\ y = - \frac{5}{4} x + 5 - 8[/tex]

We have the final answer as

[tex]y = - \frac{5}{4} - 3 \\ [/tex]

Hope this helps you

A hemispherical bowl is made of brass has an inner diameter 35 cm. What is the inner surface area? URGENT

Answers

Answer:

The inner surface area of a hemispherical bowl will be: 1923.25 cm²

Step-by-step explanation:

Given

d = 35 cm

as

[tex]r=\frac{d}{2}[/tex]

  [tex]=\frac{35}{2}[/tex]

   [tex]= 17.5[/tex] cm

The inner surface area of a hemispherical bowl = 2πr²

[tex]=2\times 3.14\times \left(17.5\right)^2[/tex]

[tex]=6.28\:\times \:17.5^2[/tex]

[tex]=1923.25[/tex]

Hence, the inner surface area of a hemispherical bowl will be: 1923.25 cm²

HELLPP. ITS URGENT.50 PTS
Please show working.

Question : If α and β are roots of the quadratic equation : 4x²-5x-1=0, find the quadratic equation whose roots are :
(See image for full question . No (IV) and (v))

Answers

Answer:

I replaced alpha by A and bitta by B. Sorry for this mistake

Answer:

4x² - 13x + 8 = 04x² - 11x + 5 = 016x² - 41x + 1 = 0x² + 5x + 4 = 0x² - 66x + 64 = 0

Step-by-step explanation:

Given

α and β are roots of 4x²-5x-1=0

Then the sum and product of the roots are:

α+b = -(-5)/4 = 5/4αβ = -1/4

(i) Roots are α + 1 and β + 1, then we have:

(x - (α + 1))(x - (β + 1)) = 0(x - α - 1)(x - β - 1) = 0x² - (α+β+2)x + α+β+ αβ + 1 = 0x² - (5/4+2)x +5/4 - 1/4 + 1 = 0x² - 13/4x + 2= 04x² - 13x + 8 = 0

(ii) Roots are 2 - α and 2 - β, then we have:

(x + α - 2)(x + β - 2) = 0x² + (a + β - 4)x - 2(α + β) + αβ + 4 = 0x² + (5/4 - 4)x - 2(5/4) - 1/4 + 4 = 0x² - 11/4x - 10/4 - 1/4 + 16/4 = 0x² - 11/4x + 5/4x = 04x² - 11x + 5 = 0

(iii) Roots are α² and β², then:

(x - α²)(x-β²) = 0x² -(α²+β²)x + (αβ)² = 0x² - ((α+β)² - 2αβ)x + (-1/4)² = 0x² - ((5/4)² -2(-1/4))x + 1/16 = 0x² - ( 25/16 + 1/2)x + 1/16 = 0x² - 33/16x + 1/16 = 016x² - 33x + 1 = 0

(iv) Roots are 1/α and 1/β, then:

(x - 1/α)(x - 1/β) = 0x² - (1/α+1/β)x + 1/αβ = 0x² - ((α+β)/αβ)x + 1/αβ = 0x² - (5/4)/(-1/4)x - 1/(-1/4) = 0x² + 5x + 4 = 0

(v) Roots are 2/α² and 2/β², then:

(x - 2/α²)(x - 2/β²) = 0x² - (2/α² + 2/β²)x + 4/(αβ)² = 0x² - 2((α+β)² - 2αβ)/(αβ)²)x + 4/(αβ)² = 0x² - 2((5/4)² - 2(-1/4))/(-1/4)²x + 4/(-1/4)² = 0x² - 2(25/16 + 8/16)/(1/16)x + 4(16) = 0x² - 2(33)x + 64 = 0x² - 66x + 64 = 0

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPP!!!!

Select the missing property.
(9+3)v

Commutative property of addition
Commutative property of multiplication
Associative property of addition
Associative property of multiplication
Distributive property

Answers

Answer:

Associative property of addition

Step-by-step explanation:

yes

The equation y=1.35x+10 models the cost of a cab ride, where y is the total cost of the ride in dollars and x is the number of miles driven. Which statement describes this model?
A. Customers pay $1.35 per-mile for the first x miles, and then $10 per mile afterwards.
B. Customers pay 10$ per-mile, and then $1.35 per mile afterwards
C. Customers pay $1.35 initially, and then another $10 for every mile traveled.
D. Customers pay $10 initially, and then another $1.35 for every mile travled

Answers

Answer:

C.

Step-by-step explanation:

X is the number miles driven so C. is the BEST answer choice.

Answer:

Its C

Step-by-step explanation:

8^1/3 dived by 5^-2
Please help

Answers

Answer:

50

Step-by-step explanation:

(8^1/3) /(5^-2)

(2)/(0.04)

50

Simplify fully 4x^2+4x/2x^2-2

Answers

Answer:

Simplify the expression.

2x³ + 4x² − 2


[tex] \sqrt[4]{(132) \div (143)} - 2[/tex]
simplify plz fast​

Answers

Answer:

Step-by-step explanation:

Answer:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Step-by-step explanation:

First focus on the 132/143 expression inside the 4th root function.

132/143 = 12/13

and so we have:

fourth root of 12/13 - 2

We must rationalize the denominator of the expression shown above.  In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13.  To do this, multiply that 12 by 13^3 and that 13 by 13^3:

                        12*13^3                          

fourth root of { --------------  }

                           13^3*13

This simplifies to:

                                         

fourth root of 12*13^3          

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

                13

To obtain the final answer, subtract 2 as shown in the original problem:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Plz quick can some one help me with these two questions also plz show working out

Answers

22a. ¼ of salary = £3600
total salary = £3600 x 4 = £14400
total amount of salary spent
= (£14400x20%) + (2/5 x £14400) + £3600
= £2880 + £5760 + £3600
= £12240

total amount saved
= £14400 - £12240
= £2160

23a. amount anwar saves = 12%
= 0.12 of his salary
amount bethany saves = 1 - 7/8
= 1/8 = 0.125 of her salary

hence, bethany saves more money each week.

CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST
CAN SOMEBODY HELP ME WITH THIS?????? I WILL MARK BRAINLIEST

Answers

Answer:

2/7 or about 29%

Step-by-step explanation:

2 are blue and there are 7 cards total so 2/7 and 2 divided by 7 is .2857 or .29 (29%).

Answer:

2/7

Step-by-step explanation:

There are 7 envelopes and 2 blue envelopes so the probability that the envelope will be blue is 2/7

A ski lodge sells 50additional ski passes for every 34inch of snow that falls overnight.Which equation describes the relationship between p, the number of ski passes sold, and s, the inches of snowfall?

Answers

Answer:

34in. of snow = +50 snow passes

+34in. of snow = +50 snow passes

Step-by-step explanation:

If you leave your house at 1:00 and get to your friends house at 5:00, what was your average speed

Answers

The answer is 4 miles per hour

PLZZZZZZZZ HELP WILL MARK YOU
PLZZZZZZZZZZZ
The table below shows the amounts of lime juice and sugar used in each container of limeade. The ratio of lime juice to sugar is 1:r, where r is the unit rate. Use the table to determine r.


Lime Juice Sugar
one-fifth cup 1 cup
2 cup 10 cup
3 cup 15 cup

ANSWERS
one-fifth
4
two-thirds
5

Answers

Answer:

5

Step-by-step explanation:

For every one cup of lime juice, there is 5 cups of sugar.

Answer:

i think its one-fifth

Step-by-step explanation:

i hope my math is right

What is the y-intercept of function f?

Answers

Answer: it’s not 5 I got that wrong

Step-by-step explanation:

y-intercept of function f is 1.

What is a function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given function

f(x) = -3x -2 , -∞ < x < -2

     = -x + 1, -2 ≤ x < 3

     = 2x + 5, 3 ≤ x < ∞

For y-intercept, x =0, f(x) = -x + 1                   [∵ -2 < 0 < 3]

f(0) = -0 + 1

= 1

Hence, y-intercept of function f is 1.

Find out more information about function here

https://brainly.com/question/12431044

#SPJ3

1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D

Answers

Answer:

B

Step-by-step explanation:

.99*6= 5.94

Answer:

B. 5.94

Step-by-step explanation:

Find the number,if 1/5 of it is 15

Answers

Answer:

The number is 75

Step-by-step explanation:

Let x be the unknown number

of means multiply and is means =

1/5 x = 15

Multiply each side by 5

5 * 1/5 x = 5*15

x = 75

Answer:

75

Step-by-step explanation:

what is 6 1/10 plus 5 4/5 ASAP please

Answers

Answer:

11 9/10

Step-by-step explanation:

6 + 5 = 11

1/10 + 4/5

1/10 + 8/10 = 9/10

11 + 9/10 = 11 9/10

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer: Answer: The answer should be 11 9/10.

Other Questions
I need help with my homework find gcd of (510,92) Neil measures the lengths of some objects in both yards and feet.There is a proportional relationship between the number of yards, x, and the number of feet, y.x (yards) y (feet)1 32 63 96 18What is the constant of proportionality? Write your answer as a whole number or decimal. Friction as a contact force or a noncontact force. Explain. Write the equation of the line that has a slope of -3 and a y-intercept of 2 in slope-intercept form. what is the slope of the line 5x +2y = -15 What is the most common method used to count a large species population What is the density of a piece of metal with a mass of 48g and a volume of 6 cm3 How many differences can you spot? (25)2 100 23 + [24 (13 5)] = On weekdays it costs 6.50 per hour to hire a tennis court at MeadwayTennis Club. On Saturdays the cost is 30% more. How much does it cost tohire a court for 2 hours on a Saturday? The first Europeans to trade for fur were_____called coureurs de bois.A SpaniardsB RussiansC FrenchmenD Englishmen 1+2=? may be 3 plz help me fill in the right tenseTom Wilson 1) is (be) an explorer. He 2) ____________ be) to nearly every country in the world, but the most exciting time he 3) ________________ (ever/have) was when he 4) ________________ (go) to the Congo jungle. A magazine 5__________________ (ask) him to retrace the route of a famous explorer who 6) _________________ (disappear) in the 1920's. As he 7) ________________ follow) a small river he got separated from his guides. He 8) ________________ (go on) alone, hoping he 9) ____________________ (find) them, but instead he 10) ______________ (encounter) a group of natives. He 11) ____________ (stay) with them for several days and 12) ________________ (find out) that a very old woman 13) ___________________ actually/meet) the famous explorer. She 14) ___________________ (know) how he 15) __________________ die). Tom 16) ______________________ (become) very friendly with the natives and now he 17) ____________________ (plan) to go back and see them again. He is sure they 18) _________________________ (welcome) him back. Fill in the blanks:Example: Viajar en bus es rpido. Viajar en coche es ms rpido que el bus. Viajar en avin es lo ms rpido.Part AUse the adjective cmodo:Viajar en tren es ___________. Viajar en carro es _____________ que el tren. Viajar en avin es _________________. The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. x=0 x= 19,800 y= 0 y= 19,800 The North StarO helps you understand astronomyhelps you set your goalsO reminds you that you should serve your community once a weekO explains that if you do not dream, you cannot succeed? Write about who am I The strength of the gravitational attraction depends on the mass of the objects involved and on the distance between them. The gravitational force between two objects will be lowest in which of the following situations? A. Both objects have small masses and are close together.B. One object has a large mass, and the objects are close together. C. Both objects have large masses and are close together. D. Both objects have small masses, and they are far apart. Plz help!!!!!!!!!!!!!!!!!!!!!