Select the correct answer. Find the quotient of (5+4i)/(6+8i) , and express it in the simplest.

Answers

Answer 1

Answer:

[tex]\frac{31}{50}-\frac{4i}{25}[/tex]

Step-by-step explanation:


Related Questions

Tony has 5 goats, 12 pigs, and 26 chickens on his farm. Write the ratio of
chickens to pigs in three ways.

Answers

Answer:

26:12, 26/12, 26 for every 12

Step-by-step explanation:

Use the Divergence Theorem to calculate the surface integral


S
F · dS;
that is, calculate the flux of F across S.
F(x, y, z) = x2yi + xy2j + 3xyzk,

S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and
x + 4y + z = 4.

Answers

Answer:

[tex]\frac{56}{15}[/tex]

Step-by-step explanation:

Given that [tex]\vec F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k[/tex]

F(x, y, z) = x^2y \hat i + xy^2 \hat j + 3xyz \hat k

The flux of \vec F across the surface S is given by

[tex]\int \int _s \vec F \cdot dS[/tex]

Where the survare S is the surface of the tetrahedron bounded by the planes x = 0, y = 0, z = 0, and  x + 4y + z = 4.

Now, by using the Gauss Divergence theorem:

[tex]\int \int _s \vec{F} \cdot dS=\int \int \int _v \bigtriangledown \cdot \vec F dV[/tex]...(i)

where V is the volume enclosed by the surface S and [tex]dV=dxdydz[/tex]

\bigtriangledown \cdot \vec F = \hat i \frac {\partial \vec F}{\partial x}+\hat j \frac {\partial \vec F}{\partial y}+\hat k \frac {\partial \vec F}{\partial z}

=2xy+2xy+3xy=7xy

Putting this value in equation (i), we have

\int \int \int _v \bigtriangledown \cdot \vec F dV = \int \int \int _v (7xy)dxdydz

= [tex]7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} \left( \int_{z=0}^{z=4-x-4y}xy\;dz\right)dxdy[/tex]

[tex]=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y} xy(4-x-4y-0)dxdy \\\\=7\int_{y=0}^{y=1} \int_{x=0}^{x=4-4y}(4xy-x^2y-4xy^2)dxdy \\\\=7\int_{y=0}^{y=1} (2x^2y-\frac 1 3 x^3y-2 x^2y^2)|_{x=0}^{x=4-4y}dy \\\\[/tex]

[tex]=7\int_{y=0}^{y=1} (2(4-4y)^2y-\frac 1 3 (4-4y)^3y-2 (4-4y)^2y^2)dy[/tex]

[tex]=7\int_{y=0}^{y=1} (32(1-y)^2y-\frac {64}{3} (1-y)^3y-32(1-y)^2y^2)dy[/tex]

[tex]=7\int_{y=0}^{y=1} (32(1-2y+y^2)y-\frac {64}{3} (1-y^3-3y+3y^2)y-32(1-2y+y^2)y^2)dy[/tex]

[tex]=7\int_{y=0}^{y=1} \{32(y-2y^2+y^3)-\frac {64}{3} (y-y^4-3y^2+3y^3)-32(y^2-2y^3+y^4)\}dy[/tex]

[tex]=7 \{32(\frac 1 2 y^2- \frac 2 3 y^3+\frac 1 4 y^3)-\frac {64}{3} (\frac 1 2 y^2-\frac 1 5 y^5-y^3+\frac 3 4 y^4)-32(\frac 1 3 y^3-\frac 1 2 y^4+\frac 1 5 y^5)\} |_{y=0}^{y=1}[/tex]

[tex]=7 \{32(\frac 1 2 - \frac 2 3 +\frac 1 4 )-\frac {64}{3} (\frac 1 2 -\frac 1 5 -1+\frac 3 4 )-32(\frac 1 3 -\frac 1 2 +\frac 1 5 )\}[/tex]

[tex]=7\times \frac {8}{15} \\\\=\frac{56}{15}[/tex]

Hence, the flux of F across S is [tex]\frac{56}{15}[/tex].

Express scientific notation (9.6 × 10^3) × (6.7 × 10^3)

Answers

Answer:

i got 6432

Step-by-step explanation:

i just put it in to my calculator

Some one help me please

Answers

Answer:

I think it would be a

Step-by-step explanation:

I think it would be a because when you divide by a negative number the sign flips

i think it’s a bc i’m always right and good at math lol

which expression represents a negative number

15 - (-26)

(-9)(-9)(-9)

-126/-6

(-12) (-24)

Answers

Answer:

15-(-26)

Step-by-step explanation:

positive is lower than negative so the remaining number will be negative.

3x + 1 = 3(x - 1) + 4​

Answers

Simplifying

3x + 1 = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[-1 + x] + 4

1 + 3x = [-1 * 3 + x * 3] + 4

1 + 3x = [-3 + 3x] + 4

Reorder the terms:

1 + 3x = -3 + 4 + 3x

Combine like terms: -3 + 4 = 1

1 + 3x = 1 + 3x

Add '-1' to each side of the equation.

1 + -1 + 3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

0 + 3x = 1 + -1 + 3x

3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

3x = 0 + 3x

3x = 3x

Add '-3x' to each side of the equation.

3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 0

This equation is an identity, all real numbers are solutions.

Ms. Thorson bought a board that was 14 feet long. She cuts off as many pieces as possible that are 9 inches long. What is the length, in inches, of the board that remains?

Answers

Question:

Ms. Thorson bought a board that was 14 feet long. She cuts off as many pieces as possible that are 9 inches long. What is the length, in inches, of the board that remains?

Answer: 6 inches

Step-by-step explanation:

So we know that 14 ft. Is 168 in. all we have to do now is divide.

9/168=18R6

Number of 9 inch pieces possible is 18.

What is division?

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers

Given,

length of the board = 14 feet
1 feet = 12 inches

14 feet = 168 inches

Length of the piece = 9 feet

Number of pieces cut from board

= 168/9
= 18.67

Number of 9inch pieces = 18

Hence, 18 is the number of pieces that are 9 inches long.

Learn more about division here:

https://brainly.com/question/7725040

#SPJ3

Hii. if Lisa was going 9.2 miles from the store to her friends house then 7.9 to her grandmas house before going 5 miles to her house how far did she travel?​

Answers

Answer:

  ¹9.2

 +7.9

¹ 17.1

 +5.0

 22.1

21.1 miles

In 2016, the mean score on the AP Biology exam was 3.10, with a standard deviation of 1.05. The mean score on the AP US History exam was a 2.74, with a standard deviation of 1.42. What is the combined mean and standard deviation for these exams

Answers

Answer:

the combined mean and standard deviation for these exams are

mean = 5.84

standard deviation = 1.766

Step-by-step explanation:

Given that;

mean score and standard deviation of AP biology was;

x'1 = 3.10,    S1 =  1.05

mean score and standard deviation of AP US History was;

x'2 = 2.74,    S1 =  1.42

Now combined mean = x'1 + x'2 = 3.10 + 2.74 = 5.84

standard deviation combined = √( S1² + S2²)

= √( (1.05²) + (1.42)²)

= √( 1.1025 + 2.0164)

= √3.1189

= 1.766

Therefore

the combined mean and standard deviation for these exams are

mean = 5.84

standard deviation = 1.766

1. John looked on a map to find the distance he would be driving from Austin to New York.
The distance on the map was 580 cm. If the scale for the map was lcm = 3.1 miles, what is
the actual distance between these two places in miles?
A 17,980 miles
B. 179.8 miles
C. 1,1798 miles
D. Not Here

Answers

Answer:

580×3.1 =17980 miles is answer

Sally used 5 gallons of ginger ale, 1 gallon of orange juice, and 2 gallons of pineapple juice, to make a punch for her family holiday party. How many
quarts of punch will Sally have for her party?
O 32 quarts
O 52 quarts
O 36 quarts
12 quarts

Answers

the answer is 32 quarts

The value of n is a distance of 3 units from 1 1/2 on a number line.
Click on the number line to show the possible values of n.

Answers

Answer:

1 1/2

Step-by-step explanation:

Since n is 3 units from 1 1/2 you would subtract 3 - 1 1/2 to find how much more n is from 1 1/2 to get to 3. Hope this helps! :)

Answer:

1 and 3 would be correct

Step-by-step explanation:

I need help pls Simplify 6y+9+3y-7

Answers

Answer:

9y+2

Step-by-step explanation:

9y+2 because you add the numbers that have y together and then 7-9 = 2 .

Find the mean, median, mode, and range of the following data.

10, 20, 30, 15, 90, 80, 35, 30, 25, 15, 60, 75, 80, 30, 45, 35, 95, 80, 80, 25, 15

Answers

Mean (average) - add all numbers up and divided by the number of addends

Mean = 46.19047619 (50)

Median - arrange numbers in numerical order, and find the one in the middle

Median = 35

Mode - number that appears the mode

Mode = 80

Range - difference between biggest and smallest number

Range = 80

~theLocoCoco

Can somebody please help me

Answers

Answer:

1:90

2:70

3:70

4:30

Source:trust me bro

bölenin 8,bölümün 68 olduğu bir bölme işleminde bölünen sayı en fazla kaç olur​

Answers

Cevap:

68 bölü 8, bundan çıkardığım şey, yanılıyorsam cevabımı sil. Ancak 68 bölü 8 = 8,5

What’s 1/2 divided by 6 plz help

Answers

Answer:

3

Step-by-step explanation:

Because .5÷6=3

and .5 is 1/2 as a decimal

6 / 1/2 = 3
6 / 0.5 =3
0.5 = 1/2

20 points!!!! It’s not d can someone help me?

Answers

Answer:

Iits c

Step-by-step explanation:

I sure i did it

Sal set a timer for eight minutes when he put the frozen pizza in the oven. when the timer went off the pizza was not done yet so he left it in the oven to continue cooking which number line shows the amount of time in minutes the pizza they have been in the oven?

Answers

Answer:

the zero to eight as I think

I NEED HELP STAT

=12×0.75

Answers

Answer:

9

Step-by-step explanation:

use a calculator of just think about it

Answer:

9.00

Step-by-step explanation:

A school has 30% of girls and 70% boys. If 10% of the girls wear glasses and 20% of the boys wear glasses, what percent of all students wears glasses?

Answers

Answer:

17%

Step-by-step explanation:

If 30% of the school is girls and 10% wear glasses, that means that at least 3% of the school wears glasses. (10 percent of 30%) If 70% of the school is boys and 20% of boys wear glasses, at least 14% of the school wears glasses. (20% of 70%) If you add both of those numbers together it adds up to 17%.

What happens when a barrel goes over the waterfall?

a. The barrel speed stays the same

b. The barrel slows down.

c. The barrel speeds up.

d. The barrel stops


PLEASE SEND HELP!! I NEED THE ANSWER.......QUICK!!! WILL GIVE THE BRAINLEST!

Answers

I think it c because it will go down faster because of gravity

What is 1/3 divide by 1/4?

Answers

Answer:

1 1/3

Step-by-step explanation:

1/3 divided by 1/4 =

1/3 x 4/1 = 4/3

1 1/3

Faith's grandma is making a blanket for her bed. The blanket needs to be 4 feet wide and 6 feet long. How many square feet of blanket does Faith's grandma need to make?
A.10
B.16
C.20
D.24

Answers

24 because 6 time 4 = 24

Answer:

D. 24

Step-by-step explanation:

multiply length times width to get area

An airplane flies due west at 100mph through a 20 mph cross wind blowing from S780E
S780E . Determine the resultant velocity and direction of the airplane . (using vector) (please show work)

Answers

Answer:

An airplane which has airspeed of 575 hm/hr head directly east the win is blowing with a velocity of 8.20 km/hr

Step-by-step explanation:

2. A parking lot has 68 rows with 24 parking spaces in each row. What is the total number of parking spaces?


1,632
1,502
408
272

Answers

Answer: 1,632

Step-by-step explanation:

you have to multiply 68 and 24 and when you do so, you'll get 1,632 as your answer.

Use the translation rule (x, y) (x - 2y 7) to find the image of F(-2, 6)

Answers

Answer:

Use photomath and look at each step! Sorry I would help but I’m bad at math.

Step-by-step explanation:

8-5(3x-7) i need help

Answers

Answer:

43 - 15x

is the answer

Answer:

-15x + 43

Step-by-step explanation:

8-5(3x-7)

8-15x+35

-15x+43

Help please
- 1/2 (2-2x) + 3

Answers

Convert -1/2 to -0.5

-0.5 X 2 = -1
- 0.5 X (-2x) = 1X
and 3.


Collect like terms.

-1 + 1x + 3

the -1 and 3 are both numbers so add them together.

-1 + 3 = 2

The answer is
1x +2

Or just

X+2

Chandre's mom has a budget of at most $250 for Chandre's birthday
party. She wants to rent the skating rink and invite as many friends as
possible. The skating rink charges $100 for a 3-hour party plus $12 for
each guest to rent skates and get a pizza combo from the concession
stand. How many guests can Chandre invite and stay within her mom's
budget?

Answers

Answer:

1

Step-by-step explanation:

1 person cost $112. 2 people cost $224. Chandre is one person already making room only for 1 other friend.

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