Express the number in polar form 4 - 4i
Answers
r is equal to the total distance created by the rectangular coordinates of the complex number
r = Root(4^2 + (-4)^2) = Root(32) = 4 Root(2)
To find theta, if a > 0, use arctan(b/a), where:
a = the first number
b = the second number
arctan (-4/4) = -45 degrees (-0.7854 radians)
Your answer is 4 Root(2) (cos(-45) + i sin(-45))
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HELP PLEASE MATH 1 QUESTION !!
Answers
Final answer:
The algebraic expression for the word phrase 'the quotient of r and 12' is r/12. This represents a division operation where r is divided by 12.
Explanation:
The phrase 'the quotient of r and 12' can be translated into an algebraic expression as r/12. In this expression, 'quotient' refers to the mathematical operation of division. Hence, the expression means that the variable 'r' is divided by '12'.
Learn more about Algebra here:
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Answers
Answer:
3x = 120
x = 40
2y=7+5x
Answers
Answers
-10x + 3 = -x + 21
+ 10 x +10x
--------------------------
3 = 9x + 21
-21 -21
---------------------
-18 = 9x
-2 = x
hope this helps
10ab -cd
Please I NEED HELP
Answers
Answer: -112
Step-by-step explanation:
To answer this question, we need to input all of the values of each variable into the equation. For a we replace it with (-2), b we replace it with 5, c we replace it with 3, and d we replace it with 4.
turns into
Since a number next to another number in parentheses is the same as multiplication, multiply out the numbers next to each other. Let's start with the first half of the equation with
-2 times 5 = -10. -10 times 10 = -100 (remember that a negative times a positive equals a negative).
For the second half of the equation, multiply 3 by 4.
We can now replace the original values with their distributed ones, and then subtract.
(Points : 1)
$11.50
$20.00
$47.50
$28.50
Question 2. 2. Your parents gave you $50 to take your younger brother and sister to the movies. You ticket cost $7.25 and your siblings cost $4.25. If you spent an additional $10 on soda and popcorn, how much money did you bring home with you?
(Points : 1)
$40
$28.75
$22.50
$24.25
Question 3. 3. How much change from $90 would you receive if you bought 5 concert tickets at $16.85 each?
(Points : 1)
$5.75
$9.00
$7.10
$22.60
Question 4. 4. Marta is buying 7 tickets from Ticket Buy at $13.79 each. If the broker charges $2.50 handling per ticket and $9.00 shipping, how much is her total cost?
(Points : 1)
$96.53
$123.03
$159.53
$177.03
Question 5. 5. Tickets to the Planetarium cost $5.25 each and come in a book of 8. How much change will Kenny get from $60 if he buys a book of 8?
(Points : 1)
$18.00
$54.75
$12.00
$11.50
Question 6. 6. Jason has "buy one get one free" tickets to the comedy club. He is bringing 7 people, including himself. If the regular price is $10.25 per person, how much change will he have left from $100 bill?
(Points : 1)
$28.25
$59.00
$41.00
$71.75
Question 7. 7.
Which would cost less and by how much: you and a friend go to Theater Y and you each buy a drink/popcorn combo (tickets are 8.25 each and a drink/popcorn combo is 4.50 each), or you and your friend rent a video for $4.50 and buy a 2 liter of cola ($1.50) and a bag of microwave popcorn ($2.00) to share?
(Points : 1)
Theater Y by $17.50
Home by $17.50
Theater Y by $8.00
Home by $8.00
Question 8. 8. The Movie Fan store rents videos for $3.99 each. You can get a two week movie pass for $20 and rent unlimited movies. If you were going to rent 4 movies in the next two weeks, which is cheaper, separate rentals or the movie pass?
(Points : 1)
separate rentals
movie pass
1.c 2.d 3.a 4.b 5.a 6.c 7.b 8.a Help if you can there simple math problems but I know I got 2 wrong what ones are they??? I know because I took a quiz on them and got 2 wrong I just want to know which ones so I can retake it.
Answers
$47.50;
$24.25;
$5.75;
$123.03;
$18;
$59;
Home by $7.50; and
separate rentals.
Explanation:
For the first question:
Your family purchases 2 adult tickets at $8 each; 2*8=16. You then purchase 1 10-18 ticket for $7.25 and 1 under 10 ticket for $4.25. You then purchase $20 in soda and popcorn. This gives us a total of:
16+7.25+4.25+20=47.50.
For the second question:
You purchase your ticket for 7.25 and a ticket for each of your siblings at 4.25, which is 2*4.25=8.50. You then purchase $10 in soda and popcorn. This gives us a total of:
7.25+8.50+10=25.75.
The change will be:
50-25.75=24.25.
For the third question:
5 tickets at $16.85 each would be 5*16.85=84.25.
This gives us
90-84.25=5.75 in change.
For the fourth question:
7 tickets at $13.79 each will cost 7*13.79=96.53.
The handling for all 7 tickets, at $2.50 each, will be 7*2.50=17.50
These together with the shipping charge will be
96.53+17.50+9=$123.03.
For the fifth question:
The book of 8 tickets, which cost $5.25 each, will be 8*5.25=$42.
This will give us
60-42=$18 in change.
For the sixth question:
He has buy one get one free tickets; this means he will buy 3 tickets and get 3 free for the first 6 tickets. He will then need to buy the 7th ticket; this means he will pay for 4 tickets:
4*10.25=$41.
Out of $100, he will have
100-41=$59 in change.
For the seventh question:
The tickets at Theatre Y cost 8.25*2=16.50. Two drink/popcorn combos at the theatre will cost 4.50*2=9. Together, this is 16.50+9=25.50.
The cost of the dvd rental (4.50), soda (1.50) and popcorn (2.00) at home is 4.50+1.50+2=8. This makes staying at home the cheaper option; it is
25.50-8=$17.50 cheaper.
For the eighth question:
4 separate rentals will cost 4*3.99=$15.96. This is cheaper than $20.