help please and show the steps

Help Please And Show The Steps

Answers

Answer 1

9514 1404 393

Answer:

  (a) 12∠0.1

  (b) 3∠-0.1

  (c) (1/3)∠-0.1

Step-by-step explanation:

In this answer, we will use the notation r∠φ to identify the "r-part" and the "φ-part" of your polar-form complex numbers.

Given: z = 3∠0.1

(a) 4z = 12∠0.1 . . . . .  the r-part is multiplied by the scalar

(b) z* = 3∠-0.1 . . . . .  the conjugate is formed by negating the angle

(c) 1/z = (1/3)∠-0.1 . . . . the reciprocal inverts the magnitude and negates the angle.


Related Questions

Stacy opens an account with a deposit of $100. She deposits an additional $25 every week after opening the account. Determine how much money will be in her account after 15 weeks.

Answers

Answer:

$450

Explanation:

after 15 weeks, stacy would have deposited a total of $25 × (15 - 1) = $350. (remember to subtract 1 from the 15 weeks since she did not deposit $25 during the week she opened the account, but only after that.)

now, we need to add this to the original deposit: $100 + $350 = $450.

therefore, after 15 weeks, there would be $450 in her account.

i hope this helps! :D

HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS URGENTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT

Answers

9514 1404 393

Answer:

  90 m²

Step-by-step explanation:

The given linear dimensions have the ratio ...

  red/blue = (6 m)/(4 m) = 3/2

The ratio of areas is the square of the ratio of the linear dimensions:

  (red area)/(blue area) = (3/2)²

  S = (blue area)(9/4) = (40 m²)(9/4)

  S = 90 m²

Write a system of linear equations.Write two-variable equations in slope-intercept form.

Answers

Answer:

A linear relation can be written in the slope-intercept form as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

And if a line passes through the points (x₁, y₁) and (x₂, y₂), the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Now let's look at our lines.

The left one passes through the points (0, -3) and (-2, 0)

Then the slope of this line is:

a = (0 - (-3))/(-2 - 0) = 3/-2 = -(3/2)

Then the line will be something like:

y = -(3/2)*x + b

Knowing that this line passes through the point (0, -3), we know that when x = 0, we must have y = -3

Then:

-3 = (-3/2)*0 + b

-3 = b

So the first linear equation is:

y = -(3/2)*x - 3

Now let's look at the second line, this one passes through the points (0, 2) and (1, 0)

Then the slope of this line is:

a = (0 - 2)/(1 - 0) = -2

And we can write the line as:

y = -2*x + b

Knowing that this line passes through the point (0, 2), we know that when x = 0 we must have y = 0, replacing that we get:

2 = -2*0 + b

2 = b

Then the equation of this line is:

y = -2*x + 2

Now that we know both equations we can write our system as:

y = (-3/2)*x - 3

y = -2*x + 2

To solve it, we need to remember that y = y

then:

(-3/2)*x - 3 = y = -2*x + 2

(-3/2)*x - 3  = -2*x + 2

We can solve this for x.

2*x - (3/2)*x = 2 + 3

(1/2)*x = 5

x = 5((1/2) = 5*2 = 10

And to find the y-value, we need to input this x-value in one of the equations:

y = -2*10 + 2 = -20 + 2 = -18

Then the solution of the system is the point (10, -18)

evaluate the expression x-9=3 (solve)

Answers

Answer:

x = 12

Step-by-step explanation:

[tex]x - 9 = 3 \\ x = 3 + 9 \\ [/tex]

[tex]\boxed{Answer:{\boxed{\green{x = 12}}}}[/tex]

A sample of a radioactive isotope had an initial mass of 450 mg in the year 2005 and decays exponentially over time. A measurement in the year 2012 found that the sample's mass had decayed to 310 mg. What would be the expected mass of the sample in the year 2017, to the nearest whole number?

Answers

Answer: 238

Step-by-step explanation:

Pls Help!
Aimee wants to order some DVDs from Amazon. Each DVD costs $8.49 and shipping for the entire order is $5. She has only $70 to spend. How many DVDs can she order?

Answers

Answer:

she can buy 13

please brainliest or hear

Answer:

She can order 7 DVDS

Step-by-step explanation:

8.49 x 7 = 59.43

59.43 + 5 = 64.43.

The graph of a linear function is shown on the coordinate grid.
What is they y-intercept of the graph of the linear function?

Answers

Answer:

y=-6

Step-by-step explanation:

just look at the bottom and yahhhh

In the figure, Line a is parallel to line b. Name the angles congruent to angle 3.

helppp it’s due today

Answers

Go with what u think will help u

Uncle Howard left his only niece 56% of his assets according to his will. If his totaled assets
totaled
$564,000, when he died, how much will his niece inherit?

Answers

Answer:

$315,840.00

Step-by-step explanation:

$564,000 x 0.56 = $315,840.00

Answer:

$315,840

Step-by-step explanation:

56% of 564,000 is this

The yield of a certain chemical reaction is believed to be related to temperature. A study collected the yield from 15 such reactions selected at random to test the belief and producedthe following results.
Variable Estimate
Intercept 1 15.5 2.96
Temp 1 0.05 0.017
R-sq = 0.73
Which of the following is the appropriate test statistic for the test?
a. t=0.05/0.73
b. t=15.5/0.73
c. t=0.05/15.5
d. t=15.5/0.05

Answers

Answer:

t = 0.05 / 0.017

Step-by-step explanation:

Given the table :

Variable ____ Estimate

Intercept 1 ____ 15.5 ____2.96

Temp 1 _______0.05 ___ 0.017

R-sq = 0.73

The test statistic for a regression test :

t = b1 / E

Where ;

b1 = slope ; E = Standard error of the slope

From the result table ;

b1 = 0.05 ;

E = 0.017

The test statistic, t = 0.05 / 0.017

The appropriate test statistic for the test is t = 0.05 / 0.017.

Calculation of the test statistic for the test:

Since

Variable ____ Estimate

Intercept 1 ____ 15.5 ____2.96

Temp 1 _______0.05 ___ 0.017

R-sq = 0.73

So here the test statistic should be

t = b1 / E

here,

b1 = slope ;

E = Standard error of the slope

So,

The test statistic, t = 0.05 / 0.017

learn more about random here: https://brainly.com/question/24172316

Using the graph, determine the equation of the axis of symmetry.

Answers

Answer:

One Point I believe

Step-by-step explanation:

Express as a trinomial.
(3x+1)(2x-1)

Answers

6x^2 - x - 1

Do foil to find it

Answer:

6x^2-x-1

Step-by-step explanation:

Use the FOIL method.

5= 1 over 3(x+7)
What is your answer

Answers

Answer:dddddd

Step-by-step explanation:

What is the word form of the number 43.06? A forty-three and six B forty-three and six tenths c forty-three and six hundredths D forty-three and six thousandths​

Answers

it is C forty-three and six hundredths.

I need help this is due today

Answers

Answer: the amount of money after the purchase depends on the amount of money before the purchase

Step-by-step explanation:

I need help with this lol

Answers

Answer:

1350

Step-by-step explanation:

multiply

(-55) +____ = -89
Find the missing

Answers

(-34) is the missing..

Kimi buys a box of blueberry, poppy seed, and chocolate-chip muffins. There are 17 blueberry
muffins and 17 chocolate-chip muffins in the box. How many muffins are in the box?
42
50
61
There is not enough information to solve this
problem.

Answers

Answer:

we need more info

Step-by-step explanation:

Determine whether the System of equations 3x+y=-5; 3y+15=-9x

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

The given system of equations are :

3x+y=-5 ...(1)

3y+15=-9x

y+5 = -3x

or

3x+y = -5 ....(2)

Here, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

It means, two lines are coincident. It means they have infinitely many solutions.

Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías?

Answers

Answer:

Step-by-step explanation:

Last month we had only five sunny days. There were 30 days in all last month.
What was the ratio of sunny days to the total number of days? What was the ratio
of sunny days to days that were not sunny?

Answers

Answer:

6

Step-by-step explanation:

30 ÷ 5 = 6

Answer:

6

Step-by-step explanation:

it is 6

pls answer quick Doug makes a parallelogram-shape sign for his shop.


What is the area of this parallelogram?


Round to the nearest hundredth.



5.32 ft²


8.96 ft²


14.28 ft²


17.02 ft²

Answers

Answer: 1.9x2.8 + 3.2+2.8 = 14.28

HOPE THIS HELPS

HELPP IM FAILING MATH RN!!

LC is 40°. What is the measure of arc CB?

Answers

I hope this helps you

Hi there!

[tex]\large\boxed{100^{o}}[/tex]

∠C = 40° and triangle ABC is isosceles, therefore:

∠C = ∠A = 40°

Angles in a triangle sum up to 180°, so:

180 = 40 + 40 + ∠A

180 = 80 + ∠A

100 = ∠A

Thus, arc CB has a measure of 100°.

which two quadrilaterals have 4 congruent sides

Answers

Answer:

rhombus and parallelogram .

Step-by-step explanation:

It’s a rhombus and parallelogram.

Hope this helps! :)

Help! Quick! Find the area of the composite figure

Answers

Answer:

60m

Step-by-step explanation:

To find the area of the triangle you multiply the base by height and divide by two, but we don’t know the base of the triangle!

Luckily, the bottom of the triangle is a rectangle. Rectangles are symmetrical, and the other side of the rectangle is 8.

So, the base of the triangle is 8.

Now let’s find the area of the triangle:

8 x 5 = 40

40/2 = 20

20 is the area of the triangle

Now, we must find the area of the rectangle!

The formula for rectangle area is just width x length:

8 x 5 = 40

Add them together:

40 + 20 = 60

Therefore, the area is 60m.

∠3 and ∠6 are alternate interior angles. If m∠3 = 75, what is the measure of ∠6
a. 15°
b. 75°
c. 105°
d. 180°​

Answers

Answer:

B. m<3 = m<6 = 75degrees

Step-by-step explanation:

First you must understand that in geometry, the alternate interior angles are equal

Hence if ∠3 and ∠6 are alternate interior angles, then <3 = <6

Given that m<3 = 75 degrees

m<6 will also be 75 degrees since both angles are equal

∫(cos3x+3sinx)dx integration​

Answers

(47)83-x (cos7y) + cos34

Answer:

[tex] I = \dfrac{1}{3}sin(3x) - 3cos(x) + C[/tex]

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

[tex]\implies\displaystyle I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]

Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .Rewrite using du and u .

[tex]\implies\displaystyle I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \boxed{\boxed{\displaystyle I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}[/tex]

PLEASE HELP ASAP GIVING BRAINLIEST W/ POINTS PLSS

Answers

9514 1404 393

Answer:

  108 ft²

Step-by-step explanation:

When x=6, the length is 6+6 = 12 ft, and the width is 6+3 = 9 ft. The area is given by ...

  A = LW

  A = (12 ft)(9 ft) = 108 ft²

The area of Cameron's garden is 108 ft².

Vx
Which two figures have the same number of lateral faces?
O sphere and cylinder
O triangular prism and rectangular prism
O rectangular prism and cube
O triangular prism and cylinder

Answers

second one okay bye have a nice day

blank minus 1/2 equals to 1/6

Answers

Answer:

Blank = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

blank = x

[tex]x-\frac{1}{2} =\frac{1}{6} \\\\x=\frac{1}{6} +\frac{1}{2} \\\\x=\frac{1}{6} +\frac{3}{6} \\\\x=\frac{4}{6} \\\\x=\frac{2}{3}[/tex]

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