what is the product of the complex number 3-4i and 6+I where I =-1​

Answers

Answer 1

Answer:

15-20i

Step-by-step explanation:

Hello,

When l =-1

6+l = 6-1 = 5

and 5(3-4i)=15-20i

Thanks


Related Questions

Venu goes to a fruit stand and buys some apples and bananas. Let A represent the number of apples she buys, & the number of bananas she buys, CA the cost of each apple, and C, the cost of each banana. a. Is the expression A+B meaningful in this situation? If so, what does it mean? If not explain why not b. Is the expression A - Ce meaningful in this situation? If so, what does it mean? If not, explain why not 2 Write an expression for the total cost of Venu's purchase. ​

Answers

From
E
q
n
(
1
)
we have
A
c
=
20

B
c

...
...
E
q
u
a
t
i
o
n
(
1
a
)

Using
E
q
n
(
1
a
)
substitute for
A
c
is
E
q
n
(
2
)

$
0.5
(
A
c
)
dddd
+
$
0.75
B
c
=
$
11.50

...
...
...
E
q
u
a
t
i
o
n
(
2
)
$
0.5
(
20

B
c
)
+
$
0.75
B
c
=
$
11.50

$
10.0

$
0.5
B
c
+
$
0.75
B
c
=
$
11.50

Subtract
$
10
from both sides
$
0.75
B
c

$
0.5
B
c
=
$
1.50

$
0.25
B
c
=
$
1.50

To 'get rid' of the decimals multiply both sides by 100
$
25
B
c
=
$
150

Divide both sides by
$
25

B
c
=
6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Using
E
q
n
(
1
)
substitute for
B
c

A
c
+
B
c
=
20

...
...
...
...
...
...
...
.
E
q
u
a
t
i
o
n
(
1
)

A
c
+
6
=
20

Subtract 6 from both sides
'
A
c
=
14

So the answer is:
14 apples and 6 bananas

Answer: wow that's crazy cause I need help with the same answer

Step-by-step explanation:

i poopoo myself how to clean

Answers

Answer:

you clean!?

Step-by-step explanation:

I just lick it

Answer:

use toilet paper

Step-by-step explanation:

first you clean yourself then you clean again until very clean lol

A light bulb consumes 1800 watts-hours per day. How many watt- hours does it consume in 5 days and 6 hours

Answers

Answer:

9900 watts-hours is how much it consumes in a period of 5 days and 12 hours.............to check this: multiply 1800 by 5 and it equals 9000 then you divide 1800 by 2 because 12hours is a half day and it is 900 after all that you add 9000+900 and it equals 9900

Mark me as brainliest if u found the answer helpful

Answer: well just do the math 1800 times 24 is 43200 times 5 is 216000

and 1800 times 6 is 10800 plus 21600 is.......226800

Step-by-step explanation:

do the math!!!!!

PLEASE HELP ME IM BEGGING YOU!!!
FIND THE VALUE OF X

Answers

84 I'm sure it's that I did it before

x equals 84°, option D (:

Oct 16, 12:30:47 PM
Wyatt has 6 cups of yogurt to make smoothies. Each smoothie uses cup of yogurt.
What is the maximum number of whole smoothies Wyatt can make with the yogurt?

Answers

Wyatt would be able to make 6 whole smoothies.
6 Smoothies

Mark Brainliest

Answer the following questions using what you've learned from this unit. Write your answers in the
space provided. Be sure to show all work.

1. Solve the equation.
5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x

Step 1: Use the distributive property to remove the parentheses. (2 points)


Step 2: Collect any like terms on both sides of the equation. (2 points)


Step 3: Bring all variable terms to one side of the equation. (Hint: Add x to both sides.) (2 points)

Answers

Answer:

x=-3

Step-by-step explanation:

5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x

(remove parentheses)

5x-20+3x-9x=6-2x-5+8x

(collect like terms and calculate)

-x-20=1+6x

(move the terms)

-x-6x=1+20

(collect like terms and calculate)

-7x=21

(divide both sides)

x=-3

(your answer :))

How does the graph of y = sec(x - 2) + 2
compare to the graph of y = sec(x)?
0 It is shifted 2 units down and 2 units left.
It is shifted 2 units down and 2 units right.
O It is shifted 2 units up and 2 units left.
It is shifted 2 units up and 2 units right.

Answers

Answer:

D

or

It is shifted 2 units up and 2 units right.

Step-by-step explanation:

The graph of  y = sec(x) is shifted 2 units up and 2 units right.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given graph is  y = sec(x)

After transformation it is y = sec(x - 2) + 2

We need to find the transformation applied to y=secx to get  y = sec(x - 2) + 2.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

y=f(x-a) is the same graph shifted 'a' units to the right. If 'a' is negative, then, the graph is shifted to the left.

y = f(x) - a is the same graph, but shifted 'a' units downwards. If 'a' is negative, then the graph will be shifted upwards.

In this case, our main function is y=sec(x). And the function y= sec(x-2)+2 is shifted two units to the right and 2 units upwards.

Hence, the graph of  y = sec(x) is shifted 2 units up and 2 units right.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ5

A directed segment ST¯¯¯¯¯ is partitioned from S (−5,0) to T in a 32 ratio at point M (10, 15). What are the coordinates of point T? (20, 25) (15, 20) (7, 3) (5, 15

Answers

Answer:

[tex]T = (20,25)[/tex]

Step-by-step explanation:

Given

[tex]S = (-5,0)[/tex]

[tex]M = (10,15)[/tex]

[tex]Ratio = 3:2[/tex]

Required

Determine the coordinate of T

Line division by ratio is calculated using:

[tex]M(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where:

[tex](x_1,y_1) = (-5,0)[/tex]

[tex](x,y) = (10,15)[/tex]

[tex]m:n = 3:2[/tex]

So, we have:

[tex](10,15) = (\frac{3 * x_2 + 2 * -5}{3+2},\frac{3 * y_2 + 2 * 0}{3+2})[/tex]

[tex](10,15) = (\frac{3x_2 -10}{5},\frac{3y_2}{5})[/tex]

Multiply through by 5

[tex]5 * (10,15) = (\frac{3x_2 -10}{5},\frac{3y_2}{5}) * 5[/tex]

[tex](50,75) = (3x_2 -10,3y_2)[/tex]

By comparison:

[tex]3x_2 - 10 = 50[/tex]

[tex]3y_2 = 75[/tex]

[tex]3x_2 - 10 = 50[/tex]

[tex]3x_2 = 50 + 10[/tex]

[tex]3x_2 = 60[/tex]  --- Divide through by 3

[tex]x_2 = 20[/tex]

[tex]3y_2 = 75[/tex]

[tex]y_2 =75/3[/tex] --- Divide through by 3

[tex]y_2 =25[/tex]

Hence:

The coordinates of T is

[tex]T = (20,25)[/tex]

2,76,212+2628 = ______ +2,76,212​

Answers

Answer:

555052

Step-by-step explanation:

Given the formula A = pi r squared, how does the A vary in relation to the square of the radius?
a.
varies inversely
c.
varies jointly
b.
varies directly
d.
no relationship

Answers

I think it’s the third one. As the radius increases, so does the area.

Rachel is recording the temperature at her school every morning this week. On Monday, the temperature was 5°C. Part A: On Wednesday, Rachel calculated that the temperature was 13 degrees colder than Monday. What temperature did Rachel record on Wednesday? Part B: On Friday, Rachel calculated that the temperature was 4 degrees warmer than Wednesday. What temperature did Rachel record on Friday?​

Answers

Answer:

Part A: -8

Part B: -4

Step-by-step explanation:

[tex]5-13=-8[/tex]

[tex]-8+4=-4[/tex]

If a histogram of a sample of​ men's ages is​ skewed, what do you expect to see in the normal quantile​ plot?

Answers

Answer: Points are not following a straight-line pattern

Step-by-step explanation:

Histograms are used to show the distribution of a dataset.

If the histogram is skewed, then it means that the points do not follow a straight-line pattern, on the normal quantile plot.

From the question, we understand that:

The histogram is skewed

This means that:

The data points of the histogram are either concentrated on the right or on the left-hand side of the histogram.

The above highlight mean that:

The points on the histogram are unequal.

Hence, you would see that the points do not follow a straight line pattern on the normal quantile plot.

Read more about normal quantile plot at:

https://brainly.com/question/5678453

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, Φsquare is ________ ϕcircle .

Answers

Answer:

The area of this circle is [tex](\frac{\pi}{2} )[/tex]  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

Step-by-step explanation:

Area of the circle is given by;

[tex]A_c = \frac{\pi d^2}{4}[/tex]

Area of the square is given by;

[tex]A_s = L^2[/tex]

relationship between the edge length of the square, d, and length of its side, L,

[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]

But area of the square , [tex]A_s = L^2[/tex]

[tex]d = \sqrt{2A_s}[/tex]

Then, the area of the square in terms of the edge length is given by;

[tex]A_s = \frac{d^2}{2}[/tex]

Area of the circle in terms of area of the square is given by;

[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]

Flux through the surface of the square is given by;

[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square

The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Φsquare is [tex]\dfrac{2}{\pi}[/tex]  ϕcircle

Given

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square

For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.

Therefore, Φsquare is ________ ϕcircle .

1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.

The area of the circle is;

[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]

The area of the square is;

[tex]\rm Area \ of \ square = a^2[/tex]

The relationship between the edge length of the square, d, and length of its side a is;

[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;

[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.

2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Ф = E.A

3. Flux through the surface of the circle is given by;

[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]

To know more about Flux click the link given below.

https://brainly.com/question/5932170

Solve for j if aj+k=v

Answers

Answer:

j=v-k/a

Step-by-step explanation:

It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.

Caleb and Sergio stacked boxes on a shelf. Caleb lifted 14 boxes and Sergio lifted 12 boxes. The boxes that Sergio lifted each weighed 10 lb more than the boxes Caleb lifted.

Let c represent the weight of each box Caleb lifted.

Which expression represents the total number of pounds Sergio lifted?


120c

10(c−12)

12(c+10)

c + 10

Answers

Answer:

b

Step-by-step explanation:

Answer:

12 c+10

Step-by-step explanation:

becus

So Can anyone help me with this

Answers

It’s 6 because it move up 6 units and 1 unit to the right. Slope is rise over run so it’ll be 6/1 which equal 6
6

count the number of units from the bottom point to the top (6) and the number of units to the right to get to the point (1)

slope is rise/run so it would be 6/1 which simplifies to 6

f(x) = x^3- 9x
What is the average rate of change of f over the interval [1, 6]

Answers

Answer:

Step-by-step explanation:

[tex]\frac{f(b)-f(a)}{b-a}[/tex] This is the formula for the average rate of change

over the interval (a, b)

a and b are x values

f(a) ad f(b) think of them as y values

Start calculating f(a) and f(b) a=1 b=6

replace all x's in formula with a, (1)

f(1)=1³-9(1) = 1-9= -8    f(1) = -8

Now do : b (6)

f(6) = 6³ - 9 (6) = 216-54=162 f(6) = 162

now plug everything into your equation

[tex]\frac{f(6)-f(1)}{6-1} =\frac{162- (-8)}{5} =\frac{170}{5} =34[/tex] average rate of change.

notice the 162 - (-8) In math there is no subtraction, and you would change it to + and when you do that you much change the sign of the next value making -8 a +8.

Hope this helps. Good luck!

Help please! I need to know the domain and range of this graph

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]domain = ( - \infty \: , \: \infty ) [/tex]

[tex]range = ( - \infty \: , \: \infty ) - (0)[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

Domain: (-oo, 3) U (3, +oo)

Range: (-oo, 0) U (0,oo)

Step-by-step explanation:

Find the balance in the account after the given period. $4000 principle earning 3% compounded annually 6 years

Answers

Answer: it would be 3000 that’s what it is

Step-by-step explanation:

The graph below shows y is a function of x.

Answers

Answer: false

Step-by-step explanation:

Identify the equation of the graph.

Answers

Answer: y=-2x-4 (C)

Step-by-step explanation: Its correct i swear

Can someone please help me with this question (there are more questions like this that I will post later, if your answer is correct I will give you brainliest)

Answers

Answer:

1. alterative exterior angles.

Step-by-step explanation:

I don't know what the rest of the other options are. So I can't answer the rest.

2x2 + x + 5 = 0 i don’t know how to do this please help

Answers

9514 1404 393

Answer:

  x = -0.25+√2.4375i or -0.25-√2.4375i

Step-by-step explanation:

The quadratic formula works for this. The quadratic equation ...

  ax² +bx +c = 0

has solutions given by the quadratic formula:

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Your equation ...

  2x² +x +5 = 0

has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...

  [tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]

The decimal equivalents are ...

  x = -0.25+√2.4375i   or   -0.25-√2.4375i . . . . . . the 'i' is outside the radical

uppose that 500 parts are tested in manufacturing and 10 are rejected. Test the hypothesis Upper H Subscript 0 Baseline colon p equals 0.03 against Upper H Subscript 1 Baseline colon p less-than 0.03 at . Find the P-value.

Answers

Answer:

The value is  [tex]p-value = 0.094963[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 500

   The number of rejected parts is  k =  10

    The null hypothesis is [tex]H_o : p = 0.03[/tex]

    The alternative hypothesis is  [tex]H_1 : p < 0.03[/tex]

     

Generally the sample proportion is mathematically represented as

           [tex]\^ p = \frac{10}{500}[/tex]

=>       [tex]\^ p = 0.02[/tex]

Generally the test statistics is mathematically represented as

           [tex]z = \frac{\^ p - p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]

=>       [tex]z = \frac{0.02 - 0.03 }{ \sqrt{\frac{ 0.03 (1-0.03)}{500} } }[/tex]

=>       [tex]z = -1.31080[/tex]

From the z table the probability of  (Z <   -1.31080) is  

      [tex]p-value = P(Z < -1.31080) = 0.094963[/tex]

The midpoint of xy is located at the origin

Answers

Answer:

Is there supposed to be an image?

Step-by-step explanation:

Is the square root of 14 +6.2 less than 3 pi - 8.2?

Answers

Answer:

No. √14 + 6.2 is more than 3π - 8.2

Step-by-step explanation:

√14 + 6.2

√20.2

≈ 4.494

π ≈ 3.14159

3(3.14159) - 8.2

9.42577 - 8.2

1.22477

Therefore, the answer is no.

solve for the x variable .

Answers

Answer:

x=15

Step-by-step explanation:

plz mark as brainliest

hope it helped u

Answer:

ok the question is 2x is equals to 15 + x so we will collect the like terms so that we have 2 x minus x is equals to 15 and x is equals to 15

The sign of the leading coefficient for the polynomial equation of the graph is negative positive zero

Answers

Answer:

The sign of the leading coefficient for the polynomial equation of the graph is NEGATIVE

Hope this helps!

Answer: 1 turning point

Step-by-step explanation:

The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?

Answers

Answer:

20

Step-by-step explanation:

Answer:

-10, 0, 10, 20, 30, etc.

Step-by-step explanation:

There are multiple elevations greater than -20

If you add +10 you will get closer to the positives. Any positive is greater than -20, EVEN 0!

A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. Find the rates of change of the radius when r = 70 centimeters and r = 95 centimeters.

Answers

Answer:

for r= 70 cm

the rate is 0.008cm/s

for r=95cm

the rate= 0.0044cm/s

Step-by-step explanation:

kindly find attached a rough sketch of the circle and a detailed solution of the problem.

Given data

rate dv/dt=500cm^3

r=70cm

r=95cm

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