z = 6 + 8i

Use the photo for the answer choices

Z = 6 + 8iUse The Photo For The Answer Choices

Answers

Answer 1

r = 10

θ = tan^-1 (4/3)

Radius = 56.00

θ = 27.00o = 0.47 radians

z = 10 × (cos 53°7'48″ + i sin 53°7'48″)

z = 10[cos(53.13) + i sin (53.13]

A seems like the best option


Related Questions

Someone, Please help asap! :)

Answers

The answer is D I believe

Which of the following statements is NOT true?
A. -4 divided by 7 is a negative number
B. -4/-7 = 4/7
C. -2 (-3+0.5) = (-2) (-3) + (-2) (0.5)
D. (-2) (1/3) (-4) is a negative number

Answers

The answer is D. The answers equals out to be positive, therefore, is false.

the sum of two integers is less than -57. one integer is 23 what is the other integer?

Answers

Answer:

The other integer is less than -80

Step-by-step explanation:

The given sum of the two integers < -57

The value of one of the integers = 23

Let 'b' represent the value of the other integer, we are given;

b + 23 < -57

Therefore, we have;

b < -57 - 23 = -80

Therefore, the other integer, b < -80.

Find the surface area of a rectangular prism that has the following dimensions:

length: 4.5 In.
width: 6 in.
height: 12 In.
surface area = in2?
ASAP

Answers

Answer:

324in2

Step-by-step explanation:

A=bxwxh (basexwidthxheight)

A=4.5x6x12=324

A=324in2

Answer:

306

Step-by-step explanation:

hope this helps

2.
Abus drove 70 miles in 2 hours. What is the unit rate?
d
b
70 miles
35 miles
140 miles
140 miles
1 hour
2 hours
1 hour
4 hours
No

Answers

Answer:

The unit rate is 35 miles per hour

Step-by-step explanation:

what is the CORRECT answer?

Answers

Answer:

bro use the dang fromula

Step-by-step explanation:

L*W=A divided by 2

Devon is buying 3 greeting cards that cost $0.97 each. How can rounding be used to estimate the total cost of the cards?

Since each card is about $1, the total cost is approximately 3 + 1 = $4.
Since each card is about $1, the total cost is approximately 3 × 1 = $3.
Since he is buying about 10 cards, the total cost is approximately 10 × 0.97 = $9.70.
Since he is buying about 10 cards, the total cost is approximately 10 + 0.97 = $10.97.

Answers

Answer:

Since each card is about $1, the total cost is approximately 3 × 1 = $3.

Step-by-step explanation:

So 3 x 1 = 3

1 > 0.97

0.97 x 3 ≈ 2.91 which if rounded to the nearest WHOLE number it would be approximately 3$

Hope this helps!

what is the area of the triangle in square inches?​

Answers

Answer:

22in.^2

Step-by-step explanation:

Area of a triangle formula is A= b*h* 1/2

(b= base  h= height)

the base is 8

the height is 5 1/2

8*5 1/2

----------

  2

5  1/2 = 5.5

8* 5.5 = 44

44/2 = 22

solve for x: 2x-y=3 if you can show work thanks.

Answers

Answer:

x = 3/2 + y/2

Step-by-step explanation:

:)

X=3+y/2 hope that may be the answer

What is volume? USE YOUR WORDS NOT G00GLE"S. (if answer is in a folder or link please dont answer) thank uu ​

Answers

Answer:

Typically, volume is used to measure the capacity of a container/bottle/etc. It is used alongside measurements for liquids, like mL or L.

Step-by-step explanation:

Select all the solutions to
( x - 2) to the power of 2 = -16

Answers

the answer are both:
x=2+4i,2-4i

Which of the following are identities? Check all that apply.

Answers

Answer: The correct identities are: 1 + tan^2x = sec^2x 1 + cot^2x = csc^2x sin^2x + cos^2x = 1 which correspond to B and D

Step-by-step explanation:

T////T

im ok at math if its wrong im sorry T^T

Answer:

A, B, C, and D.

Yeah, I bet you didn't see this one coming.

Hope this helps!

Maximum profit. A university student center sells 2,000 cups of coffee per day at a price of $4.0. A market survey shows that for every $0.1 reduction in price, 100 more cups of coffee will be sold. The cost of making one cup of coffee is $1.0. a) how much should the student center charge for a cup of coffee in order to maximize the profit? b) how many cups of coffee is the student center selling per day with this price? c) what is the maximum profit?

Answers

Answer:

a) $3.50

b) 2,500 cups

c) $6,250

Step-by-step explanation:

a) The number of cups of coffee the student sells, n = 2,000 cups

The price at which the student sells the coffee, P = $4.0

The number of extra cups sold for every $0.1 reduction in price = 100 cups

The cost of making one cup of coffee, C = $1.0

Let 'x' represent the set charge for a cup of coffee, we get;

The number of cups, nₙ = 2,000 + 100 × (4.0 - x)/0.1 = 6,000 - 1,000·x

Therefore, the revenue is given as follows;

Revenue, R = x × (6,000 - 1,000·x) = 6000·x - 1,000·x² = 1,000·(6·x - x²)

The cost, C = 1 × 6,000 - 1,000·x = 6,000 - 1,000·x

The profit, P = Revenue - Cost

∴ Profit = 6000·x - 1,000·x² - (6,000 - 1,000·x) = 7,000·x - 1,000·x² - 6,000

Profit, P = 7,000·x - 1,000·x² - 6,000 = 1,000 × (7·x - x² - 6)

At the maximum profit, we have; , we have;

dP/dx = 0

∴ dP/dx = d(1,000 × (7·x - x² - 6))/d

dR/dx = 1,000·d(7·x - x² - 6)/dx = 1,000 × (7 - 2·x) = 0

x = 7/2 = 3.5

The price that gives the maximum profit, x = $3.50

Therefore, the amount the student center should charge for a cup of coffee to maximize profit, x = $3.50

b) We have;

The number of cups, n = 6,000 - 1,000 × 3.5 = 2,500

The number of cups of coffee the student center sells at the price that gives the maximum profit, n = 2,500 cups

c) The maximum profit, [tex]P_{max}[/tex] = 1,000 × (7 × 3.5 - 3.5² - 6) = 6,250

The maximum profit, [tex]P_{max}[/tex] = $6,250.

Add the following expressions: 3r - 7 and -10r + 2
-13r-9
13-5
O -7r - 9
-7r -5

Answers

Answer:

Step-by-step explanation:

-7r - 5

Hope that helps! :)

-Aphrodite

Answer:

-7r - 5

Step-by-step explanation:

3r - 7 and -10r + 2

*remember that you can only combine the like terms

3r - 10r = - 7r

-7 + 2 = -5

Final Answer: -7r - 5

Pls help I am stuck and it is due soon number 6

Answers

Answer:

1/4

Step-by-step explanation:

First, you add all the marbles together to make the total. 6 + 5 + 4 + 9 = 24.

Then, make 6 the numerator and 24 the denominator. [tex]\frac{6}{24}[/tex]

Next, simplify. [tex]\frac{6}{24}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]

Lastly, have a wonderful day! :)

Answer:

THEN ANSWER I BELIVE IS A bc if mutiply them the marbles u mutiply AND YOULL GET 2 5/7

Step-by-step explanation:


1/5 x 5 1/2 =

Can someone help me ?

Answers

Answer:

1/2

Step-by-step explanation:

reduce the numbers with the greatest common factor 5

1/5×5 1/2

1/2

Answer:

this is the answer hope it helps

verify the following identity: sinx+cosx×cotx=cscx​

Answers

Left Hand Side :
sin
x
+
cos
x
cot
x
We know that
cot
x
=
cos
x
sin
x
Therefore
sin
x
+
cos
x
cot
x
=
sin
x
+
cos
x

(
cos
x
sin
x
)
=
sin
x
+
cos
2
x
sin
x
=
sin
2
x
+
cos
2
x
sin
x
(We know the Trigonometric Identity
sin
2
x
+
cos
2
x
=
1
)
=
1
sin
x
=
csc
x
(Because Cosecant is the reciprocal of Sine)
Hence Proved.

What is the equation of the line that includes points (25, 100) and (15, 120)

Answers

Answer:

y = -2x + 150

Step-by-step explanation:

y2 - y1 / x2 - x1

120 - 100 / 15 - 25

20 / -10

= -2

y = -2x + b

100 = -2(25) + b

100 = -50 + b

150 = b

Find value of 'k' and solve for unknown variable

Answers

Answer:

k = 27/4

y = 283.5

Step-by-step explanation:

Let

y = amount of water used

x = number of dogs washed

y = kx

y = 81 gallons

x = 12 dogs

y = kx

81 = k * 12

81 = 12k

Divide both sides by 12

81/12 = 12k/12

k = 81/12

k = 27/4

k = 6.75

Find x when y = 42 dogs

y = kx

y = 27/4 * 42

y = (27*42) / 4

y = 1,134 / 4

y = 283.5

y = amount of water used = 283.5 gallons

Calculate the surface area of a 9' by 8' by 11' rectangular prism. Just enter the number, not the unit.
PLEASE HELP!

Answers

Answer:

518

Step-by-step explanation:

LxWxH

9*8*11

518

work out angle ‘a’

angles - OW

Answers

first we will find angle BED = 180 - 49 = 131 degrees

then find angle BDE = 90 - 64 = 26

then subtract the sum of both from 180

180-26+131=23 degrees

A spinner has A-H on it.

What is the probability of spinning a vowel?

a
2/7
b
1/3
c
1/4
d
3/8

Answers

Answer:

C

Step-by-step explanation:

there are 2 vowels in the 8 letters

so

2/8 but simplify it and 1/4

C because out of ABCDEFGH there are 2/8 vowels which simplifies to 1/4

In rhombus ABCD shown below, AB=17 and AC=16 determine the length of BD without (hint , not with trigonometry)

Answers

Answer:

[tex]BD = 30[/tex]

Step-by-step explanation:

Given

[tex]AB = 17[/tex]

[tex]AC = 16[/tex]

See attachment

Required

Find BD

If AC = 16, then:

[tex]AO = 16/2[/tex] i.e. half the diagonal AC

[tex]AO = 8[/tex]

The diagonals of a rhombus are perpendicular.

This implies that we can apply Pythagoras theorem.

Using Pythagoras theorem on triangle AOB, we have:

[tex]AB^2 = AO^2 + OB^2[/tex]

[tex]17^2 = 8^2 + OB^2[/tex]

[tex]289 = 64 + OB^2[/tex]

Collect like terms

[tex]OB^2 = 289 - 64[/tex]

[tex]OB^2 = 225[/tex]

Take positive square roots of both sides

[tex]OB = 15[/tex]

To solve for BD, we use:

[tex]OB = \frac{BD}{2}[/tex] --- i.e. half the diagonal BD

[tex]BD = 2 * OB[/tex]

[tex]BD = 2 * 15[/tex]

[tex]BD = 30[/tex]

Andrew has a round trampoline with a diameter of 4 yards. What is the circumference of the trampoline?

Answers

You would use this formula for the problem...

(C=2πr) The circumference equals 2 multiplied by pi and radius.

In this problem it says diameter, but the diameter is just twice the length of the radius, so just multiply the radius by 2. Plugin your number.

C=2π(2) since 2 is half of 4, that's your radius.

Your answer is roughly C= 12.57.

You're welcome.

2 and 1/2 divided by 3/8 as a fraction

Answers

Answer:

6 and 2/8 or reduced to 6 and 1/4

Step-by-step explanation:

elisha wants to attend the town carnival. the price of the admission to the carnival is $5.50, and each ride costs an additional 88 cents. if he can spend at most $26.00 at the carnival, which inequality can be used to solve for r the number of rides elisha can go on, and what is the maximum number of rides he can go on?
(1) 5.50 + 0.88r ≤ 26.00; 23 rides
(2) 0.88 + 5.50r ≤ 26.00; 23 rides
(3) 5.50 + 0.88r ≤ 26.00; 24 rides
(4) 0.88 + 5.50r ≤ 26.00; 24 rides
please explain

Answers

Answer:

5.50 + 0.88r ≤ 26.00; 24 rides

or 5.50 + 0.88r ≤ 26.00; 23 rides

Step-by-step explanation:

mrk me brainliest plz

i can't explain it i just look at a math problem and auotomatically know the answer

Answer:

(1) 5.50 + 0.88r ≤ 26.00; 23 rides

Step-by-step explanation:

First of all, please understand the equation itself. We are multiplying 0.88 by r, or the number of rides. First, lets determine how many rides Elisha can ride. 0.88 * 23 = 20.24. And 20.24 + 5.50 = 25.74. This is less than 26.00. Now, 0.88 * 24 = 21.12 + 5.50 = 26.7. Though not by much, this is more than 26.00, so, Elisha cannot ride more than 23 rides. That eliminates options (3) and (4). The difference between (1) and (2) is that in (1) we are multiplying 0.88 by r which is correct, however, option (2) is multiplying 5.50 by r which is incorrect. Thus we have our answer. However, please note one important thing. I want you to understand the reason for the "≤" sign as this is very different from <. The sign used here indicates "less than OR equal to" whereas the other is "less than." The sign used indicates that this is the MAX Elisha can spend but he could also spend less. This may seem simple but it is crucial to have a good understanding of this concept as you progress. Any further questions just comment! Hope this helps:) P.S. do not just take the answer! READ, PRACTICE, AND UNDERSTAND.

An author works on a new book and after writing a few chapters, begins a new plan to write 600 words per day. On the fifth day of working on this plan, 4,500 words have been written. If the equation y = 600x + b represents the total number of words the author has written, y, based on the number of days, x, since the new plan was started, what is the value of b?​

Answers

1,500
Explanation
In y=600x + b the y is the total words and the x is the amount of days. We have the days (5 days) and we have the total amount of words. So we have to find b which is what they started off with. So what we can do is try 600words multiplied by 5 days. We should get 3000. So now we known in the span of 5 days they wrote 3000 words. Now we can subtract 4,500 and 3000, which gives us 1500. The author started off with 1,500 words. To check we just add the info in y=600(5)+1500 which gives us 4,500 .

Hopes that helps

help me please thank you

Answers

Answer:A

Step-by-step explanation:

Go bad b go bad b go, bad b, ah fat, 40 inch hair yours came in a pack.

Answers

Camel toe fat you could see it from the back AH AH AH AH go bad bih go bad bih go
What? Lol is this a song?

QUICKK The Johnson family went to a socially distance movie and paid $30 for two adults and two children the modern family went to the same movie and paid 35 for two adults and three children what was the price of an adult ticket

Answers

Answer: adults = $10

Step-by-step explanation:

x = adults

y = children

2x + 2y = 30

2x + 3y = 35

Using the elimination method:

2x + 2y = 30

-2x - 3y = -35 (multiplied by -1, to give 2x -2x = 0)

Solve for y...

2y = 30

-3y = -35

Add together...

-y = -5

Multiply by -1 to give positive value for y...

y = $5

Plug into one of the original equation to find x...

2x + 10 = 30

2x = 20

x = $10

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