Help with all questions in pictures please
Just put the answers please (ex: 1A 2C 3B. etc)
For question number 7 where it says (Which of the following images represents the polar graph of r = 4cos 2θ?) only two of the graphs are shown please if you can include a graph of the correct answer *70Points*
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
Convert point Q to polar coordinates (accounting for correct direction):
[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(-5)^2+(-5\sqrt{3})^2}=\sqrt{25+75}=\sqrt{100}=10\\\\\theta=\tan^{-1}\biggr(\frac{-5\sqrt{3}}{-5}\biggr)=\tan^{-1}\bigr(\sqrt{3}\bigr)=\frac{4\pi}{3}[/tex]
Thus, the answer is [tex]\displaystyle \biggr(10,\frac{4\pi}{3}\biggr)[/tex], or A
Problem 2
Make polar substitutions:
[tex]x^2+y^2-2x+8y=0\\\\r^2-2r\cos\theta+8r\sin\theta=0\\\\r^2=2r\cos\theta-8r\sin\theta\\\\r=2\cos\theta-8\sin\theta\\\\r=-8\sin\theta+2\cos\theta[/tex]
Hence, the answer is C
Problem 3
Eliminate the parameter:
[tex]x=t+3\\x-3=t\\\\y=t^2+2t\\y=(x-3)^2+2(x-3)\\y=x^2-6x+9+2x-6\\y=x^2-4x+3[/tex]
Hence, the answer is C
Problem 4
Identify [tex]z_1[/tex] and [tex]z_2[/tex] and add the complex numbers:
[tex]z_1+z_2=(-3+5i)+(-5-2i)=-3+5i-5-2i=-8+3i[/tex]
Thus, the correct answer is S
Problem 5
Use the formula for multiplying complex numbers in polar form:
[tex]z_1z_2=r_1r_2(\cos(\theta_1+\theta_2)+i\sin(\theta_1+\theta_2))\\z_1z_2=(5)(15)(\cos(240^\circ+135^\circ)+i\sin(240^\circ+135^\circ))\\z_1z_2=75(\cos375^\circ+i\sin375^\circ)\\z_1z_2=75(\cos15^\circ+i\sin15^\circ)[/tex]
Hence, the answer is A
Problem 6
Determine when the ball first hits the ground:
[tex]y=-\frac{1}{2}gt^2+(v\sin\theta)t+y_0\\0=-\frac{1}{2}(32)t^2+(58\sin19^\circ)t+1.9\\0=-16t^2+(58\sin19^\circ)t+1.9\\t\approx1.273[/tex]
Determine the horizontal distance covered by the ball:
[tex]x=(v\cos\theta)t\\x=(58\cos19^\circ)(1.273)\\x\approx69.811[/tex]
Hence, the best answer is C
Problem 7
The equation is in the form of [tex]r=a\cos(n\theta)[/tex] where [tex]a[/tex] is the length of each petal and the curve has a horizontal pole. If [tex]n[/tex] is odd, then there are [tex]n[/tex] petals, but if [tex]n[/tex] is even, then there are [tex]2n[/tex] petals.
From our given equation, there are clearly 4 petals since [tex]n[/tex] is even, and each petal length is 4 units. Hence, the first graph is correct.
Related Questions
What is three multiples of 6
Answers
Answer:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Step-by-step explanation:
a+b-__=a whats the blank and whats a and b
Answers
Answer:
-c is the blank and a+b is variables of real numbers.
Step-by-step explanation:
A real number is a value of a continuous quantity that can represent a distance.
However equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
5x+4y=-14 3x+6y=6
Linear Combination Method
Answers
Answer:
8x+10y=-8
Step-by-step explanation:
5x+3x=8x
4y+6y=10y
-14+6=-8
A system of equations is shown below.
Equation A: 4x - y = -5
Equation B: x + 2y = 1
Which method eliminates one of the variables?
1.
Multiply equation A by 2 and add the result to equation B.
2.
Multiply equation B by 4 and add the result to equation A.
3.
Multiply equation A by 2 and equation B by 4, and add the results toge
4.
Multiply equation B by 2 and equation A by 4, and add the results toge
Answers
Answer:
this one has to be answer 1
Step-by-step explanation:
4x - y = -5
x + 2y =1
8x - 2y = -10
x + 2y = 1
9x = -9
a how much will he have in 4. At the age of 30, Jasmine started a retirement account with $50,000 which compounded interest semi-annually with an APR of 4%. She made no further deposits. After 25 years, she decided to withdraw 50% of what had accumulated in the account so that she could con- tribute towards her grandchild's college education. She had to pay a 10% penalty on the early withdrawal. What was her penalty?
Answers
Answer:
6795.70
Step-by-step explanation:
smart people
After paying 10% penalty on the early withdrawal, Jasmine's penalty for the early withdrawal was calculated to be $5,352.24.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
here, we have,
We can use the formula for compound interest in ordr to solve this problem.
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal (starting amount)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, we have the following values,
P = $50,000
r = 1.75% = 0.0175 (since it is compounded semi-annually, n = 2)
t = 25 years
So the final amount after 25 years can be calculated as under
A = 50000(1 + 0.0175/2)^(2×25) = $107,044.84
Jasmine has withdrawn 50% of this amount, which is:
$107,044.84 × 0.5 = $53,522.42
She had to pay a 10% penalty on the early withdrawal, so her penalty would be:
$53,522.42 × 0.1 = $5,352.24
Therefore, the penalty of Jasmine penalty for the early withdrawal was $5,352.24.
Learn more about compound interest :
brainly.com/question/19903178
#SPJ2
(x+35)(2x + 1). How do I do this
Answers
Answer:
Split brackets method see below
Step-by-step explanation:
(x+35)(2x + 1)x(2x + 1)+35(2x + 1)2[tex]x^{2}[/tex] + x + 70x + 352[tex]x^{2}[/tex] + 71x +35The pie chart below indicates the eye colors of students
in a statistics class
Which of the following could be the percentage of
students with brown eyes?
Eye Colors
O 10%
15%
20%
O 35%
Blue
Brown
Green
Hazel
Gray
Answers
Answer:
15% could be for brown eyes
Given the matrices A and B, solve for X. Express the numbers using integers or simplified fractions.
Please!
Answers
Answer:
x=5
Step-by-step explanation:
A= 1+4+4+(-4)=5
B= 8+5+4+(-5)=15
15-5=10
10/2=5
x=5
Combined test scores were normally distributed with mean 1493 and standard deviation 342. Find the combined scores that correspond to these percentiles.
a) 20th percentile
b) 75th percentile
c) 80th percentile
a) The combined scores that correspond to 20th percentile is about ___? (Round to the nearest integer as needed.)
b) The combined scores that correspond to 75th percentile is about ___? (Round to the nearest integer as needed.)
c) The combined scores that correspond to 80th percentile is about ___?(Round to the nearest integer as needed.)
Answers
The combined scores that correspond to 20th percentile is about 1206.
The combined scores that correspond to 75th percentile is about 1724.
The combined scores that correspond to 80th percentile is about 1780.
What is z score?Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
Given the mean 1493 and standard deviation 342.
a) 20th percentile has a z score of -0.84, hence:
-0.84 = (x - 1493)/342
x = 1206
b) 75th percentile has a z score of 0.675, hence:
0.675 = (x - 1493)/342
x = 1724
c) 80th percentile has a z score of 0.84, hence:
0.84 = (x - 1493)/342
x = 1780
The combined scores that correspond to 20th percentile is about 1206.
The combined scores that correspond to 75th percentile is about 1724.
The combined scores that correspond to 80th percentile is about 1780.
Find out more on z score at: https://brainly.com/question/25638875
Please Help i need a professional no scam answers that have been happening i need to get allot done bye friday
Answers
Answer:
39%
Step-by-step explanation:
21/125=.168
33/125=.264
.432-.044352=.387648*100=39%
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule represents the translation? After the translation, what are the coordinates of vertex A'? Q: A: A) (x, y) → ( x + 1, y + 2); (−2, 6) B) (x, y) → ( x + 2, y + 1); (−1, 5) C) (x, y) → (x − 1, y + 2); (−4, 6) D) (x, y) → (x − 2, y − 1); A(−7, 3)
Answers
Answer:
a(-2.6) b(5, 0) c(9,5)
Step-by-step explanation:
the rule is x+1 y+2 for each of the vertices
HELLLPPLPPPP MUDDLE SCHOOLLL!!!!
Answers
Answer:
D.
Thats what gauth.math said
Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is (1 point) a −7 b negative 1 over 7 c 1 over 7 d 7
Answers
Heya !
Given two points A ( 8 , -4 ) and B ( 1 , - 5 )
To find - slope of line AB
Solution -
[tex] Slope = \frac{y_{2}-y_{1}}{x_{2} - x_{1}} \\ \\ \dashrightarrow \frac{ -5 - (-4 )}{ 1 - 8 } \\ \\ \dashrightarrow \frac{ - 5 + 4 }{ 1 - 8 } \\ \\ \dashrightarrow \frac{-1}{-7} \\ \\ \dashrightarrow \frac{1}{7}[/tex]
Hence ,
Option ( c ) is correct.
Hope helpful ~
PLEASE HELP FOR BRAINLIEST ;-;
Find the area of this parallelogram. Be sure to include the CORRECT UNIT in your answer.
Answers
Answer:
182ft^2
pls give brainlyist
Step-by-step explanation:
area of a parallelogram is base * hight
13ft* 14ft
182ft^2
PLEASE HELP ME ANSWER THIS !! I HAVE 7 MINUTES TO TURN IT IN HELP PLEASE
Answers
Step-by-step explanation:
You know that the three lines are parallel.
There weren't really any specific instructions so I'd assume that we're trying to find the lines. They are all in the same thing, as shown, one is 21 and the other is 12. That means the parallel line is cutting of 9.
We can then assume 2x+2-9=x+3
Then, to solve, you can get 2x-7=x+3
X=10
Hope this helped!
I'm a bit confused, but hope this helped again!
Currently, the lowest tax bracket in the United States is
Α. 0%
Β. 15%
C. 1%
D. 10%
Answers
Answer:
D 10%
Step-by-step explanation:
What is the solution to the equation?
Answers
Answer: Your answer is X=-63
Hope this helps!
A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0 ≤ x ≤ 100 (in dollars per suit), where x is the number of suits sold each week. Then the total revenue from selling 60 suits is $
Answers
Based on the marginal revenue function for the clothing manufacturer, the total revenue from selling 60 suits is $1,440.
What is the total revenue from selling the suits?
The marginal revenue function of 30 - 0.2x is the differentiated revenue function.
Performing an integration will therefore give us the revenue function as:
= 30x - 0.1x²
Now that we have the revenue function and know that x = 60 suits, the revenue is:
= (30 x 60) - (0.1 x 60²)
= 1,800 - 360
= $1,440
Find out more on the revenue function at https://brainly.com/question/19755858.
The lengths of the sides of a triangle are 9, 12, and 15. Classify the triangle as acute, right, or obtuse.
Answers
Answer:
right angle triangle
Step-by-step explanation:
by applying Pythagoras theorem
[tex] RHS ={9}^{2} + 12 ^{2} = 81 + 144 = 225=√225 =15=LHS[/tex]
hence proved
The purpose of the deposit slip is to?
Answers
Answer:
DEPOSIT SLIPS OFFER PROTECTION TO BOTH THE BANK AND THE CUSTOM
Step-by-step explanation:
Benefits of Deposit Slips
Deposit slips offer protection to both the bank and the customer. Banks use them to help maintain a written ledger of funds deposited throughout the day and to ensure that no deposits are unaccounted for at the end of the business day.
6. Find the volume of the given figures. Compute and solve
Answers
= base area* height
=(2/2)^2 π*11
=34.6cm^3 (cor. to 3 sig. fig.)
9)
What is the complete factorization of x2 + 4x-45?
OA (x + 15)(x-3)
OB. (x- 9)(x + 5)
OC. (x + 9)(x - 5)
OD. (x - 15)(x+3)
Answers
Answer:
C
Step-by-step explanation:
x^2+4x-45
(x+9)(x-5)
since 4x is positive, the larger factor of 45 needs to be positive
that's why the 5 is negative
when solving problems like this, just find two factors of the last number that add up to the middle number
then throw them in parenthesis with an x
Hi,
x2 + 4x − 45 can be factorized to (x + 9)(x - 5).
the correct answer is C (x + 9)(x - 5).
I added a screenshot...
XD
5x-2y=42
-3x+2y=-26
which of the following shows the results of the two equation added together?
Answers
Answer:
Step-by-step explanation:
When we add the two equaions, y will be cancelled becaue -2y + 2y = 0.
Thus we can find the value of x.
5x - 2y = 42 -----------(I)
-3x + 2y = -26 {Now add}
2x = 16
x = 16/2
x = 8
-3 1/2 - (-4 1/4) on
Answers
3 ¾
Step-by-step explanation:
-3½+4¼=-²/⁴ +17/4=15/4
3¾
Answer:
5/4 or 1 1/4
Step-by-step explanation:
-3 1/2 - (-4 1/4) multiply the number by the denominator and add the numerator: -3*2 = -6 + 1 = -5 same for the other...
-5/2 - (-15/4) now you need the same least common denominator...
-10/4 + 15/4
= 5/4 or 1 1/4
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
8) A company sells small and large photo books. Each page of a small photo book costs
the same. The table below shows the relationship between the number of pages in a
small photo book and the total cost of the photo book.
Part A) What is the cost per page for a small photo book?
Small Photo Book
Number of Pages
Total Cost ($)
30
20
32
48
57
Answers
The cost per page is $1.5 and 38 pages of the book will cost $57
ProportionsData;
number of page = 20cost = $30To solve this question, we have to know the cost of one page of the book.
In the first scenario, 20 pages cost $30, let's find the cost of one page here.
[tex]20 page = \$30\\1 page = x\\x = \frac{30}{20}\\x = 1.5[/tex]
We can confirm our answer here by testing with the second scenario;
[tex]32 page = \$48\\1page = y\\y = \frac{48}{32} = 1.5[/tex]
Now can say that one page of the book cost $1.5, let's divide 57 by this to determine the number of pages
[tex]z = \frac{57}{1.5} \\z = 38[/tex]
From the calculations above, 38 pages of the book will cost $57.
Learn more on proportions here;
https://brainly.com/question/18437927
PLEASE HELP, I'M BEING TIMED ;----;
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
Answers
Answer:
196 ft cubed
Step-by-step explanation:
formula = ((bxh)/2) x length
so
7 x 7 = 49
49 / 2 = 24.5
24.5 x 8 = 196
Hope this helps! If you need further help, let me know!
- profparis
In 2015, there were approximately 4, 148,000 births in a country. Find the birth rate in births per minute.
Answers
Answer:
7.89 births per minute
Step-by-step explanation:
525600 minutes in a year
4,148,000 divided by 525600 =
7.89193302892
Solve the proportion.
3x/10=3/
Answers
Answer: 10, And i dont know how to really explain but the answer is 10
The perimeter of a rectangular goat pen is 28 meters. The pen is 5 meters wide. How long is it?
Answers
Answer:
I think it would be 9 meters.
Step-by-step explanation:
5x2=10
28-10=18
18(divided by)2=9 meters
Answer:
9 meters long
Step-by-step explanation:
the perimeter is 28 meters. itts 5 meters wide and itt is recttangle so itt have two of the same width. so now 5x2=10 and 28-10=18 now 18/2=9. please mark me brainliest if i got it correct
A woman bought some large frames for $18 each and some small frames for $8 each at a closeout sale. If she bought 21 frames for $248, find how many of each type she bought.
Answers
Answer:
8 large frames and 13 small frames
Step-by-step explanation:
Given:
$18 each = large frames
$8 each = small frames
To Find:
⇒ Bought 21 frames for $248, find how many of each type she bought
Solve:
1 Large frame costs = 18 $
Therefore, x large frames costs = 18x $
{where x is the number of large frames she bought}
1 Small frame costs = 8 $
Therefore, x Small frames costs = 8y $
{where y is the number of small frames she bought}
By the given condition :
18x + 8y = 248 {equation 1}
x + y = 21 {equation 2}
Solve these equations simultaneously, from second equation we get :
x = 21- y
18⋅(21−y)+8y= 248
378 - 18y+8y = 248
-10y = -130
y = 13
Put y = 13 in eq x = 21- y
x = 21 - y
x = 21 - 13
x = 8
So the woman bought 8 large frames and 13 small frames.
~lenvy~
