express (4+7i)(2-i) in the form a+ib​

Answers

Answer 1

(4+7i)(2-i)

multiply it out

8-4i +14i -7i squared

i squared is the same as -1

8-4i+14i-7(-1)

8+7-4i+14i

15+10i

divide by common factor which is 5 in this case

3+2i


Related Questions

1. Estimate the y intercept for the line of best fit for the data

2. What kind of correlation exists between the data graph

Answers

Answer:

10)  (15, 2)

11)  5

12)  positive

Step-by-step explanation:

round 5/8 to the nearest whole number ​

Answers

The nearest whole number would be 1, because the fraction 5/8 to a decimal is 0.625.

HELP ASAP PLS!!!

Marsha recorded the time it took six children of different ages to run one lap around the track. Using the line of best fit, what is closest to the length of time it should take Marsha's 8 year old son to run one lap? Write the equation that represents the situation in slope-intercept form.

Answers

Answer:

176 seconds

Step-by-step explanation:

By using regression line calculator,

Equation of the line of best fit will be,

T = -12.55x + 276.52

Here , T = time taken to cover one lap

x = Age

If the age of Marsha's son is 8 years then expected time taken by her son to cover one lap will be,

T = -12.55(8) + 276.52

T = -100.4 + 276.52

T = 176.12 seconds

Therefore, approximate time taken by Marta's son will be 176 seconds.

Evaluate the expression when b=-7 and c=2.
b-6c
X 5
?

Answers

Answer:

-19

Step-by-step explanation:

-7 - 6(2) =

-7 - 12 =

-19

What is log5x=4 in exponential form

Answers

Answer:

Step-by-step explanation:

If you mean log₅(x) = 4, take the antilog₅ of both sides.

x = 5⁴

I need help with this question

Answers

Answer:

j-10=35

j is 45

Step-by-step explanation:

35+10=45

brainlist-brainlist-brainlist

Answers

Answer:

triangle

Step-by-step explanation:

The cross section is a triangle.

Answer:

i think either a square or rectangle

Step-by-step explanation:

a2+3b−12
a=6
and b=2

answer plsss

Answers

(6×2)+(3×2)-12

the answer is 6

hope that helps:)

Express using algebra A increased by 50% and then decreased by 50% of that

Answers

Answer:

.5(1.5A)

Step-by-step explanation:

Increasing by 50% is the same as multiplying by 1.5. Decreasing by 50% is the same as multiplying by .5. Multiply by 1.5 first then surround with parentheses and multiply by .5.

Answer:

.5(1.5A)

Step-by-step explanation:

Increasing by 50% is the same as multiplying by 1.5. Decreasing by 50% is the same as multiplying by .5. Multiply by 1.5 first then surround with parentheses and multiply by .5.

Please help me it hard

Answers

The mean is the average of all numbers so you add 9+8+12+6+10 and you get 45
Now count how many numbers there are or days which is 5

45 divided by 5 is 9

The answer is 9 pages per day

Hope this helps

A trader makes a loss of 10% when he sells a watch for 15,300
what did it cost?​

Answers

Answer:

CP = 17000

Step-by-step explanation:

Given that,

Loss = 10%

Selling price of the watch, SP = $15,300

We need to find the cost price of the watch.

[tex]CP=\dfrac{100}{100-L\%}\times SP\\\\CP=\dfrac{100}{100-10}\times 15300\\\\CP=17000[/tex]

So, the cost price of the watch is 17000.

20 POINTS!! WILL GIVE BRAINLY!!

how much metal is needed to cast a cubical metal box with outer side 10 inches long if the thickness of its walls should be exactly 2 inches?

Answers

Answer:

Hello! :) have a good day!

It would take 784 cm³ of solid iron to make the box.

488 cubic inches of metal is required to cast a cube with outer side 10 inches long if the thickness of its walls should be exactly 2 inches

What is a cuboid?

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know the volume of a cuboid is side³.

Given, A cubical metal box with an outer side 10 inches long if the thickness of its walls should be exactly 2 inches.

So, (10 - 2) = 8 inches of the solid cube is hollow.

Therefore, The metal required is a solid cubical box with side of 8 inches subtracted from a solid cubical box with a side of 10 inches which is,

= 10³ - 8³.

= 1000 - 512.

= 488 cubic inches.

learn more about cubes here :

https://brainly.com/question/28134860

#SPJ2

Fill in the blanks in the double number-line below.

Answers

Answer:

1     2     3     4     5     6     7

8    16   24  32   40   48   56

Step-by-step explanation:

Hope this helps :)

24 28 52 hope it helps:)

How
Solve The D. E

dy/dx=2x^5 y^3 - 4y/x

Answers

dy/dx (2x⁵ y³ - 4y/x)

dy/dx (2y³ x⁵ - 4y/x)

dy/dx ( 2y³ x⁵ ) - dy/dx (4y/x)

= 2y³ 5x⁴ - (-4y × 1/x²)

=
10x⁶ y³ + 4y
-------------------


Which statement is not true? Help ASAP! Thanks!!

Answers

Answer:

4 option...... .......

4 because it’s 4 lol so yea

how much will $5000 be worth in 5 years if it is compounded continuously at 3% interest.



Answers

Answer:

The final balance is $5,796.37.

The total compound interest is $796.37.

Step-by-step explanation:

What is the reciprocal of 1,058

Answers

Answer:

0.00094517958

Step-by-step explanation:

this is a answer I think so

50 points!!!!!!!!!
Solve for x and y!!! Please help i will give crown!

Answers

Answer:

it is an iscoceles triangle..

so I think it should be 45 and 45

15. 2002 Dünya Kupası Futbol Turnuvası'na katılacak Türkiye Milli Takımı'na destek olmak için taraftar gruplan asagidak
görsellerdeki gibi 2 farklı atkı modell tasarlıyor.
Kirmizi
Görsel 1
Kim
Beyaz
C*
120 cm
C
Kimizi
Beyaz
Görsel 2
120 cm
Görsel 1'deki atlanın uçlarındaki kırmızı bölgelerin toplam uzunluğu atkının uzunluğunun 'si olarak tasarlanmıştır.
5
Görsel 2'deki atkinin beyaz, diğer kısmı kırmızı renk olarak tasarlanmıştır.
2
Buna göre atkılardaki toplam kirmizi bölgelerin toplam uzunluğu kaç santimetredir?
108
D) 72
C) 60
D) 48
ARGON SERİSİ​

Answers

Answer:

d)

Step-by-step explanation:

İnşallah tutar iyi dersler Gold bye

Answer:

cevap 108 tamam sorun harika bir soru

4/40 in its simplest form

Answers

Answer:

1/10

Step-by-step explanation:

(4/40)/ (4/4) = 1/10

Pls help asap!(this question is worth 20 points!)picture down below says question

Answers

Answer:

138

Step-by-step explanation:

c=5

d=4

6c^2-5d+8

substitute c & d

6(5)^2-5(4)+8

6(25)-20+8

150-20+8 = 138

Are there any supplementary, vertical, or complimentary angles? If so wich ones

Answers

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary:

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

find the lenght of ab

Answers

Answer:

20.6 cm (im pretty sure lol)

Step-by-step explanation:

sine rule:

(ab = x)

13.5/sin41 = x/sin90

13.5sin90/sin41 = x

x = 20.57741667

ab = 20.6cm

Find the surface area of the rectangular prism. 8 yd 3 yd 3 yd pls help

Answers

Answer:

114

Step-by-step explanation:

add the areas of all 6 faces

the formula is A= 2(l*w)+2(l*h)+2(h*w)

A=2(8*3)+2(8*3)+2(3*3)=114

answer: 114yd^2

help. everything is in the picture.

Answers

The picture is completely black:/

the picture is completely blank

How many times greater is the area of Circle 1 than the area of Circle 2?If circle ones radius is 9 and circle twos radius is 3

Answers

It is 9 fr 100% pls trust me

The area of the circle {1} is 9 times greater than circle {2}.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is to find how many times greater is the area of circle 1 than the area of circle 2 if circle ones radius is 9 and circle twos radius is 3.

We can write the areas of both the circles as -

A{Ο} = πR²

A{Ο1} = π x 9 x 9

A{Ο2} = π x 3 x 3

We can write -

A{Ο1} / A{Ο2} = {π x 9 x 9} / {π x 3 x 3}

A{Ο1} / A{Ο2} = 9

A{Ο1} = 9A{Ο2}

Therefore, the area of the circle {1} is 9 times greater than circle {2}.

To solve more questions on areas, visit the link-

https://brainly.com/question/29213222

#SPJ2

49/70 in its simplest form

Answers

Answer:

7/10

Step-by-step explanation:

Brainliest?!?!?!?!

Answer: 7/10

Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!

how do I show the relationship between the input and the output

Answers

Answer:

Types of Relationships between the Input and Output

The scatter plot can be a useful tool in understanding the type of relationship that exist between the inputs (X’s) and the outputs (Y’s)

Step-by-step explanation:

1. No Relationship: The scatter plot can give an obvious suggestion if the inputs and outputs on the graph are not related. The points will be scattered throughout the graph with no particular pattern. For no relationship to exist, points have to be completely diffused. If some points are in concentration, then maybe a relationship does exist and our analysis has not been able to uncover it.

2. Linear and Non-Linear: A linear correlation exists when all the points are plotted close together. They form a distinct line. On the other hand points could be close together but they could form a relationship which has curves in it. The nature of the relationship has wide ranging implications.

3. Positive and Negative: A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship.

On the other hand a negative relationship is one where more of one input leads to less of another output. This is also known as an inverse relationship.

4. Strong and Weak: The strength of the correlation is tested by how closely the data fits the shape. For instance if all the points are scattered very close together to form a very visible line then the relationship is strongly linear. On the other hand, if the relationship does not so obviously fit the shape then the relationship is weak.

I don't know if this was exactly what you were looking for; hope it is! :)

What is the probability of drawing an even numbered card keeping it then drawing another even numbered card from a stack of 24 card numbered 1-24

Answers

Answer: I think

Step-by-step explanation:

1/12

What is the theoretical possibility of getting one heads and one tails in 2 coin drops with the possibility of it being HH, HT, TT? (heads and heads, heads and tails, tails and tails.)
(please help)

Answers

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

Answer:

48/100

Step-by-step explanation:

because since the tails side is heavier, it is a 51% that it will land on talies and a 49% that it will land on heads.

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