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2 years ago

Divide the following complex numbers: (5-i)/(4+3i)

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

7 0

Answer:

$\frac{17}{25} -\frac{19}{25} i$

Step-by-step explanation:

$\frac{5-i}{4+3i}$

$= \frac{17}{25} -\frac{19}{25} i$

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Slove the followings.

DaniilM [7]

2. The number of adults who live in the house is <em>3</em><em> </em>(1,200/400).

3.a. If an adult recycled the <em>glass, paper, and card</em> that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.

b. If the adult, in addition, had a <em>composite for vegetable and decomposable material</em>, he will generate 152 kg (400 kg x (1 - 62%).

Data and Calculations:

1 ton = 1,000 kg

Weight of rubbish produced by an adult per year = 400 kg

Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)

Percentage of Vegetable and decomposable material = 20%

Percentage of glass, paper, and card = 42% (33% + 9%)

Learn more: brainly.com/question/14954924

7 0

2 years ago

A candy store makes a 9-pound mixture of gummy candy, jelly beans, and hard candy. The cost of gummy candy is $2.00 per pound, j

Musya8 [376]

Let

x--------> the amount of gummy candy in pounds

y--------> the amount of jelly beans in pounds

z--------> the amount of hard candy in pounds

we know that

$x+y+z=9$ --------> equation $1$

$2x+3y+3z=23$ --------> equation $2$

$x=2y$ --------> equation $3$

Substitute equation $3$ in equation $1$ and equation $2$

$[2y]+y+z=9$ -----> $3y+z=9$ ------> equation $4$

$2[2y]+3y+3z=23$ -----> $7y+3z=23$ ------> equation $5$

using a graphing tool ------> Solve the system of equations

see the attached figure

the solution is the point $(3,2)$

$z=3\ pounds\\y=2\ pounds$

<u>Find the value of x</u>

$x=2y$

$x=2*2=4\ pounds$

therefore

<u>the answer is</u>

the amount of gummy candy is $4\ pounds$

the amount of jelly beans is $2\ pounds$

the amount of hard candy is $3\ pounds$

8 0

2 years ago

Read 2 more answers

Cindy owns a rectangular lot that is 18 yards long and 45 feet wide. She is going to cover the lot with square pieces of sod. If

DiKsa [7]

FIND LOT AREA:
Area = length * width
A= 18 feet * 45 feet
A= 810 feet squared

FIND # OF YARDS:
1 yard= 3 feet

Divide number of square feet by number of feet per yard.
Yards= 810 ÷ 3
Yards= 270

FIND PRICE OF SOD:
multiply number of yards by price per square yard.
Price= 270 yards * $12/yard
Price= $3,240

ANSWER: Cindy will pay $3,240 to cover the lot with sod.

Hope this helps! :)

3 0

2 years ago

Cristina bought a bag of coffee for $8.47. The weight of the bag was 7/8 of a pound. What was the price, per pound, of the coffe

SpyIntel [72]

~For this problem, you need to divide.
~The easy way that I think might help you is if you change the fraction into a decimal.

$\frac{7}{8} = 0.875$

Now divide $8.47 by 0.875
$\frac{8.47}{0.875} = 9.68$

The price per pound of the coffee was $9.68

5 0

3 years ago

Read 2 more answers

City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of

NNADVOKAT [17]

<h2>Hello!</h2>

The answer is:

The correct option is the third option,

$L(p(x))=2.425(1.082)^{x}$

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

$p(x)=2.5(1.082)^{x}$