Find the product of ( - 6 + 3i) and its conjugate.
product =
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Answers

Answer 1

Answer:

45

Step-by-step explanation:

The conjugate of the given is:

( - 6 - 3i)

Find their product:

(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 45

Related Questions

Carter has a rope that is 6 meters long. He cuts the rope in half. Then he cuts one of the halves into pieces that are 1-third meter each.

Answers

He would have 4 pieces of rope

You would have 9, 1/3 meter pieces. ??

What is log Subscript 5 Baseline (4 times 7) + log Subscript 5 Baseline 2 written as a single log?

Answers

log5(4*7)+log5(2)=log5(28)+log5(2)=log5(56)

Answer:

Its D

Step-by-step explanation:

just took the test

Two motorcyclists, who start their journeys at the same instance from two different cities,
travel with uniform speeds of 40 km/h and 50 km/h respectively towards each other. If they meet
each other after 1.5 hours after commencing their journeys, find the distance between the two
cities.
QUICK

Answers

Answer:

54

Step-by-step explanation:

In developing an interval estimate of the population mean, if the population standard deviation is unknown _____.

Answers

Answer:

the sample standard deviation and t distribution can be used

Step-by-step explanation:

i need help i don’t understand this i’m a freshman in highschool doing a mi

Answers

It would be C because if you look at how the data lines up it doesn’t line up in a straight line (like the others) making it most likely to be non-linear
Hope that helps :)

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

Step-by-step explanation:

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $6830 and his stock in Company B was worth $2600. The stock in Company A has increased 20% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

For each computer Isabella sells, she earns a 5% commission. If she sells 3 computers for
$985.00 each, what is her commission?
$14.78
b. $49.25
$147.75
a.
C.

Answers

If she was to sell three computers she gets 147.75

Find a unit vector in the direction of ⃗PQ if P = (4, -7) and Q = (2, -3)

Answers

The coordinates of two points P and Q are given. In each case, determine the components of the vector PQ. Write your answers in the form (a, b). P(2, 3) andQ(3,7)

What is the area of a rectangle that has side lengths of 7 yard and yard?
10 square yard
18
20
square yard
15
24 square yard
8
square yard

My Progress
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Answers

is it like mutiplying and dividing

The area of the rectangle that has side lengths of 7 yards and 3 yards is 21 square yards.

What is the rectangular shape?

Rectangles are quadrilaterals having four equal vertices and parallel sides that are equal to one another.

To find the area of the rectangle that has side lengths of 7 yards and 3 yards, use the formula as described below,

the area of the rectangle = length x width of the rectangle.

Substituting the value of the side lengths to the formula,

The area of the rectangle = 7 x 3

The area of the rectangle = 21 square yards.

Therefore, the area is 21 square yards.

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ7

Eight people met in a public park for a nature walk. Before they set off to look for birds, they all introduce themselves and each person shook hands with each of the other people. How many handshake were exchanged?

Answers

Answer:

56 handshakes

Step-by-step explanation:

one person shakes seven hands

eight people shook seven hands each

8×7=56

An item is regularly priced at $29. It is on sale for 80% off the regular price.

Answers

And the question is????

Describe the location from the origin of each point in problem 5

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Elaborate, where’s the picture of the problem?

Please help me solve this problem, thank you.

Answers

Step-by-step explanation:

first you need to find the 17 and 8 triangles missing sides length so we do a squared plus b squared equals c square and since we have c which is 17 we subtract 8 squared or 64 from 17 square and we get 225. next the missing line from the next one is done the same way 225 minus 9 squared or 81 and we get 144 and the square root of that is 12 we do 12 squared 144 minus 6 squared because we already know that the side is six because it gives it to us and we get 10.392

Much help needed thanks!

Answers

The correct answer is D comment if you need me to show the work/ explain

What is the value of the expression
4x+y when x = 2 and y = 4?
2y-1

Answers

4(2)+4 =
8+4= 12
Input 2 into the space of the X since it’s together it will be multiplication. Do the same with Y. Then add and you’re done :)

put the following unit fractions in order from smallest to largest. 1/16 1/24 1/8 1/10 1/4 1/12 1/3 1/6 1/2


Answers

Answer:

1/24, 1/16, 1/12, 1/10, 1/8, 1/6, 1/4, 1/3, 1/2

Step-by-step explanation:

If you have this many fractions and they all have the same numerator, then the smallest number will have the biggest denominator and the biggest number will have the smallest.

So when you have all numbers with the same numerator and you're trying to put them in order from smallest to greatest, it's like putting the denominators in order from largest to smallest. (So, the 1/24 is the SMALLEST and the 1/2 is the BIGGEST.

Compound interest compounded quarterly is given every ______ months. *
1 point
1
3
6

Answers

Answer:

3 months

a quarter is a period of three months

Step-by-step explanation:

Bruce walks 3/4 mile in 1/5 what is his spewd miles per hour

Answers

Answer: Bruce's speed is 3.75 mph(miles per hour).

2+2 THIS IS A LIFE OR DEATH QUESTION PLZZ

Answers

The ANSWER for this question is 2+2=4

UMMM I THINK IT'S UH A CARROT, I'M SMART the real answer is 4 though lol

PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT (Screenshot)

Answers

Answer:

The length of XY is 22.5

Step-by-step explanation:

Since you need to hurry I will not write an explanation

Hope this helps! :)

૮ ・ﻌ・ა

Find the coefficient of   x in the polynomial  ( 4y - 13  - 5z - 4x )​

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

the coefficient of   x in the polynomial  ( 4y - 13  - 5z - 4x ) is -4

Answer:

[tex]\huge\boxed{\sf -4}[/tex]

Step-by-step explanation:

The given polynomial is:

4y - 13 - 5z - 4x

Coefficient:

The term/number (along with the sign) with that certain variable is called coefficient.

x has the coefficient of :

-4 (number along with x)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

a computer performs a calculation in 3.5 x 10^-5 seconds to solve a math problem. How long does the computer need to calculate the solutions to 5 x 10^4 math problems. Enter your answer in standard form

Answers

Step-by-step explanation:

let's do this in 2 steps :

1. go for 1×10⁴ math problems

2. multiply that result by 5 to fully cover 5×10⁴

1.

3.5×10^-5 × 1×10⁴ = 3.5×10^-1

2.

5 × 3.5×10^-1 = 16.5×10^-1 = 1.65×10⁰

so, the computer needs 1.65×10⁰ or simply 1.65 seconds.

Kevin will be taking six classes next semester (Algebra, World History, Psychology, Political Science, Chemistry, and Art Theory) and would like to know how many different ways he can order his class schedule given that his university offers six time slots for classes each day. Assuming there are no constraints and each class can be taken in any time slot, how many different ways can Kevin order his classes?

Answers

Answer:  720

=========================================================

Explanation:

We have 6 slots to fill A,B,C,D,E,F

There are 6 choices for choice A, then 5 choices for slot B, 4 for C, and so on until we reach one choice for slot F. Count down by 1 each time a slot is filled.

Multiply out those values to get: 6*5*4*3*2*1 = 720

For more information, check out the concept of factorials.

---------

Another approach is to use the nPr permutation formula which is

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

where in this case n = 6 and r = 6.

Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.
\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}


Step 1
Step 2
Step 3
Step 4
Step 5


93
×51


3
90
150
+4,500


4,743


1×3 ones
1×9 tens
50×3 ones
50×9 tens

Answers

Since molly's solution tally's with the given solution, hence Molly's solution is correct.

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

[tex]\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}​[/tex]

This partial product can also be solved as shown below:

[tex]93 \times 51 = (90+3)\times (50+1)[/tex]

Applying the distributive law:

[tex]93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743[/tex]

Since molly's solution tally's with the given solution, hence Molly solution is correct.

Learn more about partial product at: https://brainly.com/question/24716925

Multiply. −2(−5)(−3)

Answers

Answer: -30

Step-by-step explanation:

-2 X -5 = 10

10 X -3 = -30

Therefore, -2(-5)(-3) = -30

The multiplication of −2(−5)(−3) is -30

The multiplication of numbers in brackets with negative signs takes a method whereby the signs are taken into account when performing the arithmetic operation.

From the given question, we are to multiply:

= - 2 × (-5) × (-3)

= +10 × (-3)

= -30

Learn more about the multiplication of numbers here:

https://brainly.com/question/1755985

Express as a single power.

Answers

a) 1

b) -5

c) [tex]\frac{6^3.6^5}{6^2.6^4} = \frac{6^{3+5} }{6^{2+4} } = \frac{6^8}{6^6} = 6^{8-6}=6^2[/tex]

4.
(03.02)
Match each statement (term) with its value in relation to 0 (definition). (10 points)


1.
Oliver owes his sister $27.

2.
A building is 38 feet tall.

3.
Erica jumped 2.7 feet above ground.

4.
The scuba diver was 38 feet below sea level.

5.
The basement is 8.3 feet below ground.
a.
38
b.
-38
c.
-8.3
d.
-27
e.
2.7

Answers

Answer:

Below

Step-by-step explanation:

1.-d

2.-a

3.-e

4.-b

5.-c

Answer:

-8.3ithink   so

Step-by-step explanation:

X is y% of what number?

Answers

Answer:

42

Step-by-step explanation:

yeah-ya.......... right?

Maybe Audrey waited 6 pounds 14 in ounces at birth convert her weight to ounces

Answers

Answer:

110 ounces :))

Step-by-step explanation:

James is observing the population of the fish he put into a pond. He built a pond and
populated it with 700 fish. The population of the fish doubles every year.

Answers

The exponential equation is given by y = 700(2)ˣ

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of fish after x hours.

Given that he starts with 700 fishes, hence

a = 700

The population of the fish doubles every year, hence:

b = 2

The exponential equation becomes:

y = 700(2)ˣ

Find out more at: https://brainly.com/question/12490064

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