what is the polar form of 7 √ 3-7i

Answers

Answer 1

Answer:

14(cos(330)+isin(330))

Step-by-step explanation:

step1: determine the modulus using the formula  |z|=√(a²+b²)

|z|=  √((7√3)² + (-7)²) = √196 = 14

step2: determine the argument using the formula θ=tan⁻¹(y/x)

θ=  tan⁻¹(-7/7√3) =  (-1/√3) --> rationalize the denominator by multiplying top and bottom by √3 to get:  -√3/3

the tangent value on the unit circle that is -√3/3 is 330 degrees in quadrant iv

then put it together :p


Related Questions

Sedato Company follows the practice of pricing its inventory at the lower-of-cost-or-market, on an individual-item basis.
Item No. Quantity Cost per Unit Cost to Replace Estimated Selling Price Cost of Completion and Disposal Normal Profit
1320 1,200 $3.20 $3.00 $4.50 $0.35 $1.25 1333 900 2.70 2.30 3.50 0.50 0.50
1426 800 4.50 3.70 5.00 0.40 1.00
1437 1,000 3.60 3.10 3.20 0.25 0.90
1510 700 2.25 2.00 3.25 0.80 0.60
1522 500 3.00 2.70 3.80 0.40 0.50
1573 3,000 1.80 1.60 2.50 0.75 0.50
1626 1,000 4.70 5.20 6.00 0.50 1.00
From the information above, determine the amount of Sedato Company inventory.

Answers

Answer:

$24,110    

Step-by-step explanation:

From the given information, we have:

Item No.   Quantity   Cost per Unit  Cost to Replace  Estimated Selling Price

1320             1,200           $3.20                    $3.00                   $4.50

1333                900             2.70                       2.30                     3.50

1426               800              4.50                       3.70                     5.00

1437               1,000            3.60                        3.10                    3.20

1510                700              2.25                        2.00                   3.25

1522               500            3.00                         2.70                    3.80

1573                3,000         1.80                         1.60                     2.50

1626                 1,000        4.70                         5.20                    6.00

Cost of Completion and Disposal       Normal Profit          Final Inventory

$0.35                                                        $1.25                     $3600

0.50                                                          0.50                     $2,250

0.40                                                           1.00                        $2960

0.25                                                           0.90                       $2950

0.80                                                            0.60                       $1400

0.40                                                           0.50                       $1450

0.75                                                           0.50                        $4800

0.50                                                            1.00                       $4700  

                                                                                                 $24,110        

To determine the amount of Inventory, we multiply the designated market value with the quantity, then sum all the results up but in the last part,we use the cost per unit instead becuase it is lower than the designated market value.

Solve.

(5a^2 + 3) (4a^2 + 3)

Answers

Answer:

I think its a... carrot

Answer:

204+272+9

Step-by-step explanation:

Kevin has 3 fewer leaves than sandy. Sandy has 3 leaves. How many leaves does Kevin have?

Answers

Answer:

0 leaves

Step-by-step explanation:

Answer:

tiene            0

Step-by-step explanation:

0 hojas  

what is the opposite of 1/2

Answers

Answer:

The opposite of 1/2 is -2/1, which can also be written as -2.

Shiloh has to earn at least $200 to meet her fundraising goal. She has only 100 cakes that she plans to sell at $5 each. Which inequality shows the number of cakes, x, Shiloh can sell to meet her goal?

Answers

Answer:d

Step-by-step explanation:I took the test too

10. You just received your first job. Your starting salary is $750
weekly. Calculate your monthly and annual salary.

Answers

Answer:

3000 weekly

39000 annually

Step-by-step explanation:

Answer:

39,000 dollars

A phone company charges for service according to the formula C(n) = 23 + 0.2n, where n is the number of minutes
talked, and c(n) is the monthly charge, in dollars.
Find the rate of change.

Answers

Answer:

...........................

Evaluate this exponential expression. 4^5

Answers

Answer:

1024

Step-by-step explanation:

4⁵ is 4 multiplied 5 times.

4⁵ = 4 · 4 · 4 · 4 · 4

16 · 4 · 4 · 4

64 · 4 · 4

256 · 4

1024

What is the scale factor from polygon ABCD to polygon PQRS??

Answers

Answer:

We need the grid to figure this out

Write the equation of the line graphed below.

Answers

Answer:

In y intercept form, the equation would be: Y= -1/3x -6

Step-by-step explanation:

In order to find the equation, you can use any points given. In this case, I used (-6,-4) and (-3,-5).

With these points, you must find the slope. The change in our y values is -1 and the change in our x values is +3.

Now we have Y= -1/3x

To find the y intercept, you look on the graph for where there's a point that is lying on y line. In this case (0,-6) is lying on the y line. This means that the Y intercept for our equation is -6. Another example is (0,8), our y intercept would be 8 because the x value is 0!

In conclusion, our equation in y intercept form would be Y= -1/3x-6

Hope this helps!! :)

Find the quotient in SIMPLEST form. 2/5 ÷ 5/8 =
A: 10/40
B: 1/4
C: 16/25
D: 4/5​

Answers

Answer:

c. 16/25

Step-by-step explanation:

divide

Which model is 85% Shaded

Answers

Answer:

cant tell

Step-by-step explanation:

need more explanation

2 - 2x +5 -3x + 3x + 4

Answers

Answer:

-2x+11

Step-by-step explanation:

You need to combine like terms, so combine the x terms first.

You would have

-2x-3x+3x=-2x

Then combine the like terms of the normal numbers

2+5+4=11

Answer:

-2x+11

-hope this is what you were looking for:))

Step-by-step explanation:

PLZ ANSWER FASTTTTT (70 POINTSSSS)

Your parents deposited $1,500 into a new college fund that will earn an annual compound interest rate of 3%. How much money will be in the account when you need it for college in 5 years? (write and use the compound interest formula)

THANK YOU!!

Answers

Answer:

$1738.91

Step-by-step explanation:

Given

Deposit: P = $1500Interest rate: r = 3% = 0.03 compoundedTime: t = 5 yearsCompound number: n =1 per yearFinal amount A= ?

Formula for compound interest is:

A = P(1 + r/n)^nt

Substituting values

A = 1500(1 + 0.03/1)^1*5 =1500(1.03^5) = $1738.91

A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the rate of 2 rupees per sq.cm.​

Answers

Answer:

[tex]15360\,\,rupees[/tex]

Step-by-step explanation:

Let sides of the triangle be [tex]a,b,c[/tex]

[tex]a=40\,,\,b=24\,,\,c=32[/tex]

Semi-perimeter (s) = [tex]\frac{a+b+c}{2}[/tex]

[tex]=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48[/tex]

Area of one tile [tex]=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2[/tex]

So,

Area of 20 tiles [tex]=20(384)=7680\,\,cm^2[/tex]

Cost of polishing the floor at the rate of 2 rupees per sq.cm = [tex]7680(2)=15360\,\,rupees[/tex]

-2 = g -9g what is the answer to this​

Answers

Answer:G=1/4 or the same as g=0.25

Step-by-step explanation:

Answer:

1/4 is the answer.

Step-by-step explanation:

So first, you subtract the g-9g. You get -2 = -8g, correct?

Next, you divide -2 by -8, you then get -2/-8

This simplifies to 1/4.

Hope this helped. :)

20 POINTS !!!!
The roots of the equation x^2+bx+c=0 are −4 and 2. Find b.

Answers

first, love the killua profile picture ! i love hunterxhunter i am currently on season 5, episode 44 or 45 aka 119 or 120 but anyways,

answer:

b = 2

step-by-step explanation:

because its roots are -4 and 2,

and a = 1 [The coefficient of [tex]x^2[/tex]] we know that [tex]x^2 + bx + c = (x - (-4)) (x-2)=(x+4)(x-2) = 0.[/tex]

using the distributive property we get,

[tex]x^2 + 2x - 8 = 0.[/tex]

by equating coefficients (common strategy for partial fractions and undetermined coefficient method of solving ODE), we get b = 2 and c = -8 ( solved c just for fun guess :) ) .

hope this helps :)  

-audrey <3

The EverGlow nuclear power plant releases water into Lake Fishbegone every afternoon at 4:51 p.m. Environmental researchers are concerned that fish are being driven away from the area around the plant. They believe that the temperature of the water discharged may be a factor. The data table below gives the temperature of the water released by the plant and the measured distance (in meters) from the outflow pipe of the plant to the nearest fish found in the water on several randomly chosen afternoons. A scatterplot of the data and the least-squares regression line are given.
What is the slope of the least-squares regression line? *
A. -74.704
B. 5.791
C. 12.196
D. 0.946

Answers

9514 1404 393

Answer:

  B.  5.791

Step-by-step explanation:

The slope of the line is the coefficient of x in its equation. The equation is ...

  ŷ = -74.704 +5.791x

The coefficient of x, the slope, is 5.791.

0.1 is 1/10 as much as

Answers

Answer:

10%

Step-by-step explanation:

Because 0.1 is equivalent to 1/10 and 10%

Please help
For the sequence 12,8,4...
write the explicit rule..
Find the 100th term...
Is this a function or relation? Why?

Answers

Answer: ion evn kno cuh

Step-by-step explanation:

Answer:

This is arithmetic sequence and the common difference is equal to -4.

Step-by-step explanation:

If yuh just want the answer here, not explained

How do you determine what bn should be in a limit comparison test and a comparison test? When do you know that the series should use a limit comparison test or a comparison test to find if it is convergent/divergent? Examples would be greatly appreciated

Answers

Step-by-step explanation:

Pick a function that is the same "family".  It needs to be a function that you know diverges or converges.  So p-series and geometric series are common choices.  Often we make the numerators the same so that it's easy to compare.

For example, if you have an = 1 / (n − 1), you would choose bn = 1 / n.  Since n − 1 is less than n, we know an is greater than bn.  And since we know bn diverges, that means the larger function an also diverges.

Or, if you have an = 1 / (n + 1), we again choose bn = 1 / n.  However, comparison test is inconclusive here (an < bn, bn diverges), so we use limit comparison test instead.

lim(n→∞) an / bn

lim(n→∞) 1 / (n + 1) / (1 / n)

lim(n→∞) n / (n + 1)

1

The limit is greater than 0, and bn diverges, so an also diverges.

Let's try something more complicated.  Let's say an = e⁻ⁿ / (n + cos²n).  The numerator e⁻ⁿ is always less than 1, and the denominator is always greater than n.

If we again choose p-series bn = 1 / n, we know bn > an, and bn diverges, so comparison test is inconclusive.  Limit comparison test is possible, but tricky.

But, if we choose geometric series bn = e⁻ⁿ / 1, we know bn > an, and bn converges, so by comparison test, an converges as well.

We can try one more: an = (n² + 2) / (n⁴ + 5).  Let's choose bn = (n² + 2) / n⁴ = 1 / n² + 2 / n⁴.

The numerators are the same, but an has a larger denominator, so bn > an.  bn is the sum of two p-series which converge, so bn converges.  Therefore, an converges.

Multiply 5 1/2 x 1 2/5​

Answers

Step-by-step explanation:

[tex]5 \frac{1}{2} \times 1 \frac{2}{5} \\ \\ \frac{11}{2} \times \frac{7}{5} \\ \\ \frac{77}{10 } = 7.7[/tex]

-2=k+7/3. solve for k

Answers

Answer:

K=-13

Step-by-step explanation:

-2=(k+7)/3

-6=k+7

-13=k

4+7x=-10+5x please answer

Answers

X=-7    

---------------------------------------------------------

-7

4+7x=-10+5x
+10 +10
14+7x=5x
-7x -7x
14=-2x
14/-2 -2x/-2
-7=x

which is the first step in simplifying the expresion 2(x+3)+5?

Answers

( ) goes first (parentheses)

Answer:

[tex]2x + 11[/tex]

Step-by-step explanation:

1) Expand by distributing terms.

[tex]2x + 6 + 5[/tex]

2) Collect like terms.

[tex]2x + (6 + 5)[/tex]

3) Simplify.

[tex]2x + 11[/tex]

The first step to do this equation is to expand.which means to solve whats inside the parentheses first. If you expand you'll get a answer of 2x + 11.

Use the drop-down menus to complete the sentences:
The terminal ray of an angle measuring -10/9pie at lies in the
quadrant.
This angle measures

Answers

Answer:

1. second

2. -200

Step-by-step explanation:

Just did it on e2020

A number cube is rolled 24 times and lands on the number 2 four times and on the number 6 three times what is the theoretical probability of landing on 6?

Answers

Answer:

A: 4 / 24 (or 1/6) B: (24 - 3) / 24 = 21/24 (or 7/8) C and D: Theoretical probability for each number is 1/6 on each roll, and we expect 4 occurrences of each number, on average. 2 came up as expected. 6 came up 3/4 as often as expected. Or "Not-6" came up 21 instead of 20 times, slightly more often than expected.

Step-by-step explanation:

Question
Tom's bank account earns 6% simple interest per year. If Tom deposits $600 and then does not make any additional
deposits or withdrawals, what will the balance on the account be after 5 years?
Round your answer to the nearest dollar.
Provide your answer below:

Answers

With the interest rate his bank account will grow $36 dollars each year which after fiver years is $180 so the amount in the end will be $780

50 apples cost $25.how much would 75 apples cost​

Answers

Answer:

150

Step-by-step explanation: one apple cost $0.50, so 75/ $0.50= 150

what is the greatest common factor of 42cand 50

Answers

Answer:

2

Step-by-step explanation:

There is no way that is collage math

This is 2 I’m pretty sure
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