What is the value of the product (3 - 2i)(3+2i)?

Answers

Answer 1

Answer:

13

Step-by-step explanation:

1. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)

(3 - 2i) (3 + 2i)

9 + 6i - 6i - [tex]4i^{2}[/tex]

2. Simplify

9 - [tex]4i^{2}[/tex]

3. Solve for i. [tex]i^{2}[/tex] = -1

9 - 4 (-1)

9 + 4 = 13

hope this helps!


Related Questions

A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to finish the season with a 90% winning percentage?
A. 12
B. 14
C. 15
D. 27​

Answers

Answer: C

Step-by-step explanation:

multiply 15 x 2

Membership for the Alpine rock-climbing gym costs $12 per month plus a $120 sign-up fee. Membership for Rocco’s rock-climbing gym costs $20 per month plus a $60 sign-up fee.

After how many months will the memberships cost the same?

Answers

Answer:

Around month 7-8

Step-by-step explanation:

Alpiine=

1 month=$132

2=144

3=156

4=168

5=180

6=192

7=204

8=216

9=228

10=240

Rocco=

1 month=80

2=100

3=120

4=140

5=160

6=180

7=200

8=220

9=240

10=260

At an amusement park, 25 riders ride the race cars every 30 minutes and 20 riders ride the spinning swings every 20 minutes. Which ride will have more riders each hour and how many more? Use the drop-down menus to answer the problem. The Choose... will have Choose... more riders each hour.

Answers

Answer:

The spinning swings will have 10 more riders each hour.

Step-by-step explanation:

1. If 25 riders ride the race car every 30 mins, that would mean each hour 50 riders ride the race car.

2. If 20 riders ride the spinning swings every 20 mins, that would mean each hour 60 riders ride the spinning swings.

Lets say 4 hours have passed. We could say 25 × 8. I don't know if this would make sense but there would be 8 30 mins in 4 hours. If you multiply 25 × 8 you would get 200 riders riding the race cars in 4 hours.

Lets do the same thing with the spinning swings. There are 12 20 mins in 4 hours. So we could do could do 20 × 12. That would equal 240 riders riding the spinning swings in 4 hours.

So if the race cars got 200 riders in 4 hours, each hours they will have 50 riders. And If the spinning swings got 240 riders in 4 hours, each hour they got 60 riders. So that would mean the spinning swings got more riders each hour. They also got 10 more riders each hour. Hopefully I didn't confused you.

What are the intercepts of the equation? 5x + y = 30​

Answers

Answer:

Slope=−2.00010.000​=−5.000

x−intercept=530​=6

y−intercept=130​=30.00000

Step-by-step explanation:

Natalie drove 12.25 hour for a total of 686 miles. How fast did she drive in miles per hour?​

Answers

Answer:

step 1= 12.25*60=735minutes

step 2=686/735=0.933333kilometer.

step 3=0.9333333*60=56kilometers.

Deonna is arranging pictures of her trip to Jamaica into a photo album. Twenty percent of her photos are just of her. If Deonna took 200 photos, then how many photos are there of just her in the picture?​

Answers

Answer:

I think it is 10% but I may be wrong hope this kinda helped

Step-by-step explanation:

(Ill give brainliest)


Solve 9,396 ÷ 18 = __________ Using partial quotients.
Draw it out

Answers

Answer:

522

Step-by-step explanation:

(03.01) Match the two numbers with their least common multiple (LCM). Match Term Definition 8 and 4 A) 24 8 and 6 B) 8 8 and 10 c) 40 Previous Question Question 1 (Not Answered)​

Answers

Answer:

LCM of 8 and 4 = [tex]8[/tex]

LCM of 8 and 6  [tex]=24[/tex]

LCM of 8 and 10 = [tex]40[/tex]

Step-by-step explanation:

Least common multiple (LCM) of numbers is their smallest common multiple.

First find prime factorization of [tex]4,6,8,10[/tex]

[tex]4=2^2\\6=2(3)\\8=2^3\\10=2(5)[/tex]

LCM of 8 and 4 = [tex]2^3=8[/tex]

LCM of 8 and 6  [tex]=2^3(3)=8(3)=24[/tex]

LCM of 8 and 10 = [tex]2^3(5)=8(5)=40[/tex]

(x +y)^5
Complete the polynomial operation

Answers

Answer:

Please check the explanation!

Step-by-step explanation:

Given the polynomial

[tex]\left(x+y\right)^5[/tex]

[tex]\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i[/tex]

[tex]a=x,\:\:b=y[/tex]

[tex]=\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i[/tex]

so expanding summation

[tex]=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5[/tex]

solving

[tex]\frac{5!}{0!\left(5-0\right)!}x^5y^0[/tex]

[tex]=1\cdot \frac{5!}{0!\left(5-0\right)!}x^5[/tex]

[tex]=1\cdot \:1\cdot \:x^5[/tex]

[tex]=x^5[/tex]

also solving

[tex]=\frac{5!}{1!\left(5-1\right)!}x^4y[/tex]

[tex]=\frac{5}{1!}x^4y[/tex]

[tex]=\frac{5}{1!}x^4y[/tex]

[tex]=\frac{5x^4y}{1}[/tex]

[tex]=\frac{5x^4y}{1}[/tex]

[tex]=5x^4y[/tex]

similarly, the result of the remaining terms can be solved such as

[tex]\frac{5!}{2!\left(5-2\right)!}x^3y^2=10x^3y^2[/tex]

[tex]\frac{5!}{3!\left(5-3\right)!}x^2y^3=10x^2y^3[/tex]

[tex]\frac{5!}{4!\left(5-4\right)!}x^1y^4=5xy^4[/tex]

[tex]\frac{5!}{5!\left(5-5\right)!}x^0y^5=y^5[/tex]

so substituting all the solved results in the expression

[tex]=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5[/tex]

[tex]=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]

Therefore,

[tex]\left(x\:+y\right)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5[/tex]

-w/20=-2.5 help please its due today

Answers

Answer:

w = 50

Step-by-step explanation:

−w /20  = −2.5

Step 1: Simplify both sides of the equation.

−1 /20 w = −2.5

Step 2: Multiply both sides by 20/(-1).

( 20/ −1 ) * ( −1/ 20 w) = ( 20 /-1 ) * (−2.5)

w = 50

just a tad bit more points :)

Answers

Answer:

Thx have a great day :)

Step-by-step explanation:

yoink.

Thank you very much, kind sir/ma'am.

Have a nice day.

Let be a continuous random variable that follows a normal distribution with a mean of and a standard deviation of . Find the value of so that the area under the normal curve to the right of is . Round your answer to two decimal places.

Answers

Complete Question

Let x be a continuous random variable that follows a normal distribution with a mean of 550 and a standard deviation of 75.

a

Find the value of x so that the area under the normal curve to the left of x is .0250.

b

Find the value of x so that the area under the normal curve to the right ot x is .9345.

Answer:

a

  [tex]x = 403[/tex]

b

 [tex]x = 436.75[/tex]

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 550[/tex]

   The standard deviation is  [tex]\sigma = 75[/tex]

Generally the value of x so that the area under the normal curve to the left of x is 0.0250 is mathematically represented as

     [tex]P( X < x) = P( \frac{x - \mu }{ \sigma} < \frac{x - 550 }{75 } ) = 0.0250[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P( X < x) = P( Z < z ) = 0.0250[/tex]

Generally the critical value of  0.0250 to the left  is  

       [tex]z = -1.96[/tex]

=>    [tex]\frac{x- 550 }{75} = -1.96[/tex]

=>    [tex]x = [-1.96 * 75 ]+ 550[/tex]      

=>    [tex]x = 403[/tex]

Generally  the value of x so that the area under the normal curve to the right of x is 0.9345 is mathematically represented as

        [tex]P( X < x) = P( \frac{x - \mu }{ \sigma} < \frac{x - 550 }{75 } ) = 0.9345[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P( X < x) = P( Z < z ) = 0.9345[/tex]

Generally the critical value of  0.9345 to the right  is  

       [tex]z = -1.51[/tex]

=>    [tex]\frac{x- 550 }{75} = -1.51[/tex]

=>    [tex]x = [-1.51 * 75 ]+ 550[/tex]      

=>    [tex]x = 436.75[/tex]

   

     

Help a brotha out........

Answers

Answer:

it's flipped I guess ‍♀️

Answer:

6/12 = 1/2

12/6 = 2

you get different answers when the numerator & denominator are flipped

Carter's trampoline has a diameter of 10 ft. Its circumference is twice as great as the circumference of Reed's trampoline. What is the circumference of Reed's trampoline.​

Answers

Answer:

no

Step-by-step explanation:

nsjdjfhfjskskdknxiwiwfbrbbewiisaksndbbfeueiaooand

1.43 x 10 to the 9 power

Answers

Answer:

25004854810.8

Step-by-step explanation:

You multiply 1.43 by 10 to get 14.3. Then you multiply 14.3 by itself 9 times. Hope this helps!

125 i googled it so if you need to show your work then uh

You and your friend skate at the same rate. You complete 6 laps in 5 minutes. How long does your friend take to complete 18 laps?

Answers

Answer:

15 minutes

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

haha 69= funny number

POINTS AND POINTS AND POINTS. ANSWER ONLY IF U TOOK THE TEST ON K12 AND POST PICTURE OF CORRECT ANSWERS.

The coordinates of the vertices of quadrilateral ABCD are A(−1, −1), B(−3, 3), C(1, 5), and D(5, 2). Drag and drop the choices into each box to correctly complete the sentences. The slope of AB⎯⎯⎯⎯⎯ is Response area, the slope of BC⎯⎯⎯⎯⎯ is Response area, the slope of CD⎯⎯⎯⎯⎯⎯ is Response area, and the slope of AD⎯⎯⎯⎯⎯ is Response area. Quadrilateral ABCD is Response area because Response area.

Answers

Answer:

AB=-2

BC=1\2

CD=-3\4

AD=1\2

Step-by-step explanation:

The slope of AB is - 2,

Slope of BC is

Slope of CD is

Slope of AD is ,

ABCD is trapezoid because one pair of opposite sides is parallel.

Answer:

slope of AB: -2

slope of BC: 1/2

slope of CD: -3/4

slope of AD: 1/2

Quadrilateral ABCD is a trapezoid because there is one pair of parallel sides.

Step-by-step explanation:

I solved for the slopes using slope formula. Also, I determined that the quadrilateral was a trapezoid since there was at least one pair of parallel sides. I'm sorry that I don't have a k12 account, but I hope this helps.

Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.6 years with a standard deviation of 0.9 years. If a sampling distribution is created using samples of the ages at which 49 children begin reading. What would be the mean of the sampling distribution?

Answers

Answer:

The value is [tex]\mu_{x} = 5.6 \ years[/tex]

Step-by-step explanation:

From the question we are told that

   The population mean is  [tex]\mu = 5.6 \ years[/tex]

    The standard deviation is  [tex]\sigma = 0.9 \ years[/tex]

    The sample size is  n  =  49  

Generally given that the sample size is large enough, the  sampling distribution created using the samples of the ages at which 49 children begin reading is equal to the population mean

i.e

     [tex]\mu_{x} = \mu[/tex]

=>  [tex]\mu_{x} = 5.6 \ years[/tex]

Find the equation of a line that has a slope of -3/7 and goes through the point (49,-17)

Answers

It should be

Y = -3/7x + 4

Jade practices tennis for 3.5 hours. Hayley only spends 0.75 hour practicing
tennis. How much more time does Jade spend practicing tennis than Hayley?

Answers

Answer:

2.75 hours

Step-by-step explanation:

3.5-0.75 which is 2.75.

So 2.75 hours.

Hope this helps :D

The incubation time for Rhode Island Red chicks is normally distributed with a mean of 21 days and a standard deviation of approximately 1 day. If 1000 eggs are being incubated, how many chicks do we expect will hatch?
a. In 19 to 23 days?
b. In 22 days or more?
c. In 21 days or fewer?
d. In 18 to 21 days?
e. In 19 days or fewer?
f. In 19 to 24 days?
g. In 18 to 24 days?
h. In 18 days or more?

Answers

Answer:

a - c

Step-by-step explanation:

if standard is 21 days then in incubator will hatch faster or at the same time but with high percentage of hatching a chick (btw hi from rhodes)

Helpppppppppppppppppppppppppp

Answers

The answer is y=-4x+21

Well, you can do this by first putting the numbers into point-slope form. That will be y-21=-4(x-0)

Then, you can simplify by doing the distributive property.

Lastly, add 21 on both sides to get the slope-intercept form.
y-21=-4x+0
+21 +21

y=-4x+21

Hope this helps!✨❤️

Ricky walked a total of 4 3/4

miles on the school track. He stopped every 1/4

mile to rest.

Rick stopped ​
times to rest. Round your answer to the nearest whole number, if necessary.

Answers

Answer:

19

Step-by-step explanation:

Is he stop every 1/4 mile you get 19

There are 4 1/4 miles in every mile. 4x4(Equation of total 1/4th's in 4 miles) is 16. Add 3 more 1/4th's to get 19

Hope this helps!

Total number of rest is 19 times

Fraction based problem:

Given that;

Distance walked by Ricky = 4³/₄ miles = 19 / 4 miles

rest on every mile = 1/4 miles

Find:

Total number of rest

Computation:

Total number of rest = Distance walked by Ricky ÷ Rest on every mile

Total number of rest = [19 / 4] ÷ [1 / 4]

Total number of rest = 19 times

Find out more information about 'Distance'.

https://brainly.com/question/26711747?referrer=searchResults

{17}{15}={10}{2x-2} x =

Answers

Answer: 12.85

Step-by-step explanation: If you start off by multiplying them then. You'd get 225=20x-2. So from there you subtract the 2, to isolate the 20x. Then divide bother sides by 20 to get 12.85.

Answer:

The answer is 5.4

Step-by-step explanation:

{17}{15}={10}{2x-2} x =92/17

92/17 rounded to the nearest tenth is 5.4117...

5.4

im late to answer this question but to help people in the future with this same question... here you go x)

Which equation represents a line that passes through the two points in the
table?

Answers

Answer:

C

Step-by-step explanation:

use the points to find the slope (y-y1/x-x1) 3-5/3-6 = 2/3

the answers are all in point slope form so the slope is 2/3 and the point represented is 3,3

Answer: It’s A. Just did it

Step-by-step explanation:

The difference between two same side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.

Answers

Answer: 2x+43

Step-by-step explanation:

Answer:

107.5 degrees and 72.5 degrees (Don't forget the degrees symbol)

Please mark me Brainliest if I'm right :D

Find the area of a compound shape

Can you please explain

Answers

Answer:

Bruh the answer is there so uh yea

Step-by-step explanation:bruh sorry for being a little rude.

The grades on a midterm were Normally distributed with a mean of 120 and a standard deviation of 17. The passing score was 111 or higher.

Use the z-table to answer the question.

What percent of students passed the midterm?


70% IS THE ANSWER

Answers

Answer:

70% is the correct answer

Step-by-step explanation:

Answer:

70% is correct

1 point
Find the slope of each line that passes through the points (4.0) and (7.9),

Answers

Answer:

[tex]m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (4, 0)

Point (7, 9)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{9-0}{7-4}[/tex]Subtract:                       [tex]m=\frac{9}{3}[/tex]Divide:                          [tex]m=3[/tex]

a tank containing 50 liter of water develops a leak and loss water at a constant rate. after 20 minutes it contains 40 liter. after a further 30 minutes the tank is 5% of its full capacity. determine the tanks capacity

Answers

Answer:

The tank's capacity is 500 liters

Step-by-step explanation:

Proportions

The tank initially contains 50 liters of water. The tank's capacity is more than that, as we'll show later.

We know after 20 minutes of leaking from the tank, 40 liters still remain. This means 10 liters have leaked in 20 minutes. The loss of water occurs at a constant rate or 10/20=0.5 liters per minute.

After 30 more minutes, the tank has lost 0.5*30 = 15 more liters of water and now has 40 - 15 = 25 liters remaining.

We are told those 25 liters correspond to 5% of the tank's full capacity. Thus, the full capacity of the tank is:

[tex]\displaystyle \frac{25 }{ (5 / 100)} = 500~liters[/tex]

The tank's capacity is 500 liters

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