mulitiply both sides of this equation by r and use the fact that r2=x2+y2 to rewrite this equation in terms of x and y r=-6sin theta

Answers

Answer 1

The equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex]  + 6y²Sin[tex]\theta[/tex].

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of the expression will be given as:-

r³ = r(x² + y²)

( 6Sin[tex]\theta[/tex])³ = 6Sin[tex]\theta[/tex] (x² + y²)

216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex] + 6y²Sin[tex]\theta[/tex]

Therefore the equation in terms of the x and y will be 216Sin³[tex]\theta[/tex] = 6x²Sin[tex]\theta[/tex]  + 6y²Sin[tex]\theta[/tex].

To know more about expression follow

https://brainly.com/question/723406

#SPJ1


Related Questions

Use the periodic compound interest formula to solve.
Suppose that $11,000 is invested at 5.8% compounded quarterly. Find the total amount of this investment after 6 years.

Answers

Answer:

$15,539.67

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $11,000r = 5.8% = 0.058n = 4 (quarterly)t = 6 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=11000\left(1+\frac{0.058}{4}\right)^{(4 \times 6)}[/tex]

[tex]\implies \sf A=11000(1.0145)^{24}[/tex]

[tex]\implies \sf A=15539.67451...[/tex]

Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.

does someone mind helping me with this problem? Thank you!

Answers

Answer:

-20

2(xy-7)=-20 with x=-1 y=3

Step-by-step explanation:

2(xy-7)=?

When variables are connected such as xy, this means to multiply.

x=-1

y=3

Multiply the x and the y together.

-1*3=-3. Plug that into the equation.

2(-3-7)=?

Subtract the inside the parenthesis.

2(-10)=?

Multiply. Remember when multiplying a positive and a negative the answer will always be a negative.

2(-10)=-20

This means that 2(xy-7)=-20 with the x=-1 and y=3.

Hope this helps!

If not, I am sorry.

55 mi / h = ____ ft / s

Answers

Answer:

80.6ft/s

Step-by-step explanation:

[tex]\frac{55mi}{h} * \frac{5280ft}{1 mi}* \frac{1h}{3600s} = 80.6ft/s[/tex]

can anybody help me find what 11x-21=

Answers

Piggly wiggly farting piggly wiggly pooping

The vertices of an isosceles triangle are A(-4, 0), B(-10, -2) and C(-6, -6).

What is the equation of the triangle's line of symmetry?

y = - x - 4
y = x - 4
y = x + 4
y = - x + 4

Answers

y = - x + 4 that’s the answer hope it helps

factoring 8x^2-12x-8

Answers

Answer:

( 8x - 4 ) ( x - 2 )

Step-by-step explanation:

8x² - 12x - 8

8x² - 16x + 4x - 8

8x ( x - 2 ) - 4 ( x - 2 )

( 8x - 4 ) ( x - 2 )

Answer:

⇒ [tex]4(x-2)(2x+1)[/tex]

Step-by-step explanation:

1) Common factor

⇒ [tex]8x^2-12x-8\\[/tex]

⇒ [tex]4(2x^2-3x-2)[/tex]

2) Use the sum-product pattern

⇒ [tex]4(2x^2-3x-2)[/tex]

⇒ [tex]4(2x^2+x-4x-2)[/tex]

3) Common factor from the two pairs

⇒ [tex]4(2x^2+x-4x-2)[/tex]

⇒ [tex]4(x(2x+1)-2(2x+1))[/tex]

4) Rewrite in factored form

⇒ [tex]4(x(2x+1)-2(2x+1))[/tex]

⇒ [tex]4(x-2)(2x+1)[/tex]

At which value(s) of x does the graph of the function F(x) have a vertical
asymptote? Check all that apply.
F(x) =X/(x-4)(x+2)

Answers

Answer:

x = 4  &  x = -2

Step-by-step explanation:

For rational functions (functions which themselves are a fraction, with polynomial pieces in the numerator and polynomial pieces in the denominator), these functions have "discontinuities" anywhere the denominator is equal to zero.  Usually, those discontinuities are "vertical asymptotes".  Occasionally, those discontinuities are "holes".

A discontinuity is a "hole," only if both the numerator AND the denominator are zero for that same value of x.  If that value of x doesn't make the numerator zero (it only makes the denominator zero), the discontinuity is just a vertical asymptote.

Finding the discontinuities:

To find the discontinuities, we'll be making an entirely separate equation.  It's not the function, it's not using algebra to change both sides of the equation/function we started with ... it's pretty much just like scratch work to figure out something that you can use later (although, your teacher may want to see your work on how you found them).

The equation we need for this is the denominator of our rational function set equal to zero:

[tex](x-4)(x+2)=0[/tex]

Note, this equation doesn't have a denominator.  It's not the original function.  It's like scratch work.  This equation is designed as if we want the denominator of our function to be zero, and to find the values of x that will make us divide by zero in the original function.

There are many ways to solve this equation.  The easiest is remembering the zero product property.  The Zero Product property states that if the product of two things is equal to zero, then at least one of the original things had to be zero:  [tex]\text{If }a*b=0,\text{ then }a=0\text{ or }b=0 \text{ (or both)}[/tex]

Noting that our equation is a product of two things, and is equal to zero, the zero product property allows us to separate our equation into two equations:

[tex]x-4=0, \text{ or } x+2=0[/tex]

Solving each equation by isolating x, by adding or subtracting the relevant number from both sides of the equations:

[tex]x=4, \text{ or } x=-2[/tex]

So these values of x will make the denominator of the original function zero.  These are both discontinuities of the function, so while when we were solving for values of x that would make the denominator zero, it was appropriate to say "or", we know that both of these values are discontinuities and now we list them both saying "and":

Discontinuities: [tex]x=4 \text{ and } x=-2[/tex]

But wait!  Are they holes, or are they just vertical asymptotes?  Do we have one of each?

Testing to see if the discontinuities are asymptotes:

To test and see if the discontinuities we've found are holes, we need to substitute them into the numerator of the original function, and see the result.... but just the numerator (we already know they will make the denominator zero, and we can't divide by zero)

Since the numerator is just x, we're checking to see if 4=0, or if -2=0.  They don't.  So, for this function, both of the discontinuities are vertical asymptotes.

Listing the asymptotes

Vertical asymptotes at [tex]x=4 \text{ and } x=-2[/tex]

PLEASE I NEED THE ANSWER QUICKLY
1. A local newspaper charges $42 per half-page advertisement and $86 per full-page advertisement. Kathryn has a budget of $1192 to purchase 20 advertisements.
(a) Define a variable for each unknown.
Write a system of equations to represent the situation.
(b) How many full-page advertisements does Kathryn purchase?
Show your work.
(c) How many half-page advertisements does Kathryn purchase?
Show your work.

Answers

Answer:

x = 12 half page advertisements

y = 8 full page advertisements

Step-by-step explanation:

42x + 86y = 1192

x + y = 20

y = 20 - x

Input (20-x) as y into the first equation

42x + 86(20-x)=1192

42x + 1720 - 86x = 1192

(42x - 86x) 1720 -1720= 1192-1720

-44x = -528

x = 12

12 + y = 20

y=8

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement  Kathryn purchase is equals to 8.

c.  Number of half page advertisement  Kathryn purchase is equals to 12.

What is system of equation?

" System of equation is defined as the finite set of equations for which we find a common solution."

According to the question,

Cost of half page advertisement = $42

Cost of full page advertisement = $86

Number of advertisement Kathryn could purchase = 20

Total budget of Kathryn to purchase advertisement = $1192

'x' represents half page advertisement

'y' represents full page advertisement

As per the situation given system of equation we have,

42x + 86y = 1192                                 ______(1)

x + y = 20                        

x = 20 - y                                             _____(2)

Substitute the value of 'x' from  system of equation (2) in (1) we get,

[tex]42( 20 -y) +86y =1192\\\\\implies 840 - 42y +86y =1192\\\\\implies 44y = 1192-840\\\\\implies y = \frac{352}{44}\\ \\\implies y =8[/tex]

Substitute the value of y in (2) to get 'x' ,

[tex]x=20-8[/tex]

  = 12

Hence,

a. 'x' represents half page advertisement and 'y' represents full page advertisement.

System of equation is given by 42x + 86y = 1192 , x + y =20.

b. Number of full page advertisement  Kathryn purchase is equals to 8.

c.  Number of half page advertisement  Kathryn purchase is equals to 12.

Learn more about system of equation here

https://brainly.com/question/13997560

#SPJ3

I need more help I'm lazy (img included)

Answers

Answer:

B)20

Step-by-step explanation:

convert 900in to ft=75

1500/75=20boxes

20

There are 12 inches in a foot, so 1500 times 12 is 18000, 18000 divided by 900 is 20

whats 10 + 4? i need to know if you answer you get 25 points

Answers

the answer is 14, 0+4 is 4 and then you put the 1 infront of the 4 making 14
The answer would be 14.

How many significant digits are there in the number 237.16?

Answers

Answer:

3

Step-by-step explanation:

Are survival rates independent of gender within similar passenger classes ?

Answers

Answer:

yes

Step-by-step explanation:

Women had a much higher chance of survival — regardless of what class they were in — then men did. Of the 466 women on board, 339 survived. Of the 843 men on board, only 161 survived — a measly 19% compared to the 73% of women who made it safely back to shore.

What is the square root of 48 simplified?

Answers

The square root of 48 simplified is 4 sqrt 3.
4 and then a square root 3

The way you get this is to factor 48 into 16 x 3 . You can take the sq root of 16 = 4 and bring the 4 to the outside of the sq root sign. The 3 remains under the sq root sign.

Have a nice day’

Chloe bought an equal number of forks and spoons for a party. The forks were sold at 3 for 2$ and the spoons were sold at 4 for 3$. She spent 5$ more on spoons than on forks. How much did she spend altogether?

Answers

60 forks 60÷3=$20

60 spoons 60÷4=$15

$20+$15=$35 total spent for forks and spoons

Total spent is 35 dollars

Could someone help me on this?

Answers

The snswer is B lol get smarter
Jshshshshshshjajsjsjsjsjsjsjsjsjsjshsjdj

Mark's Digital Place has a compact digital camera at a price of $425, a 8 inch tablet for $540 and a
game console for $610. If you want to get an additional three years warranty, then you need to pay
15% extra on the original price and $50.
Daphne wants to buy a digital camera and a tablet to start a photography course. When she went into
the store, she found that the store id offering a discount of 5% on the camera and 80 on the tablet.
Daphne also want the additional three years warranty. How müch money does Daphne need to pay to
buy both the items with a three years additional warranty on each item?

Answers

Answer:

jjxfzhfxjgjhzjjjtxjxjxktxjtxjtxtxh

Here is a list of ages (years) of children in a room:

8
,


8
,


9
,


5
,


10
,


4
,


9


State the median.

Answers

Answer:

5

Step-by-step explanation:

median basically means the number which is in the middle so 8,8,9, 5 ,10,4,9

the median is 5 because left and right middle is 5 that's why it is median

The absolute value of -183 is _______.

Answers

Answer:

183

Step-by-step explanation:

The absolute value of a number is the number's distance from zero, which will always be a positive value. To find the absolute value of a number, drop the negative sign if there is one to make the number positive.

Answer: 183 ✅

Step-by-step explanation:

Hii, do you need to know the absolute value of "-183"? No problem! (:

What is Absolute Value? | Definition

The absolute value of a number is that number's distance from zero.

That's why absolute value is always positive, because negative distances don't exist.

That's why the absolute value of a number is always positive.

|x|=x

| | denotes absolute value

|-x|=-x

[tex]\large\boldsymbol{\therefore,\;the\;absolute\;value\;of\;-183\;is\;183}}[/tex]

Voila! There's our answer, cheers! (:

____________________

Hope that this helped! Best wishes.      

[tex]\it Reach \ far. \ Aim \ high. \ Dream \ big.[/tex]           ____________________

[tex]\bigstar\underbrace[/tex]

Which Expression is Equivalent to (f+g)(4)?

A) F(4) + G(4)
B) F(X) + G(4)
C) F(4 + G(4))
D) 4(F(X) + G(X))

Answers

Step-by-step explanation:

[tex] = (f + g)(4)[/tex]

[tex] = f(4) + g(4)[/tex]

The answer is A.

The point (-6, 4) is reflected over the x-axis. Find the point of reflection.

Answers

Answer:

-6, -4

Step-by-step explanation:

The drama teacher wants to know whether more families of students at the school would attend a musical or a comedy.
Which of the following survey methods will allow the drama teacher to make a valid conclusion about which genre of performance more families would attend?
Choose 1 answer:
Choose 1 answer:

Answers

To determine whether more families of students at the school would attend a musical or a comedy , she should Assign a number to each family, use a computer program to select 20 random numbers , Option A is the right answer.

What are different survey methods ?

Some of the survey methods are Online Survey , Telephonic survey , Kiosk Survey , Face to Face Survey etc.

It is given that there are n number of families ,

To determine whether more families of students at the school would attend a musical or a comedy.

To do so she has to do random sampling from the group of families.

So , she should Assign a number to each family, use a computer program to select 20 random numbers.

Therefore Option A is the right answer.

The complete question is

The drama teacher wants to know whether more families of students at the school would attend a musical

or a comedy.

Which of the following survey methods will allow the drama teacher to make a valid conclusion about

which genre of performance more families would attend?

Choose 1 answer:

Assign a number to each family, use a computer program to select 20 random numbers

between 1 and the total number of families, and ask the families selected.

For each letter of the alphabet, assign a number to each family whose last name begins with

that letter, use a computer program to select a random number between 1 and the total

number of families whose last name begins with that letter, and ask the family selected.

To know more about different survey methods

https://brainly.com/question/3757800

#SPJ1

PLS HELP IM BEGGING ITS DUE IN 10 MINUTES WHOEVER ANSWERS FIRST AND CORRECTLY I WILL GIVE BRAINIEST!!!

Write a similarity statement comparing the two triangles:

Answers

The triangle ABE and triangle DEC are similar by AAA option third is correct.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have given two triangles in the picture.

As we can see in the triangle ABE

Angle ABE = 90 degree or right angle

Similarly, in a triangle DEC

Angle DEC = 90 degree or right angle

Angle ABE = Angle DEC

Angle EAB = Angle CDE

If the corresponding two angles are the same as two triangles then the third the angle will be the same.

Angle AEB = Angle DCE

The triangle ABE and triangle DEC are similar to AAA

Thus, the triangle ABE and triangle DEC are similar by AAA option third is correct.

Learn more about the similarity of triangles here:

brainly.com/question/8045819

#SPJ1

Denver has a current temperature of -5°, while Barcelona has a current temperature of 54°. What is the difference in temperature between Denver and Barcelona?

Answers

Answer:

59°

Step-by-step explanation:

Difference=54-(-5)

=54+5=59

Which expressions are equivalent to the one below? Check all that apply.
In (e^2)
Possible Answers Below:
A.)2•In e
B.) 2
C.) 2e
D.) 1

Answers

Answer:

a and b

Step-by-step explanation: you can move the exponent to the front and lne is also equal to one times 2 = 2

The largest bubblegum bubble ever blown was 23 inches in diameter. What was its circumference?.

Answers

Answer:

[tex]C=23\pi[/tex] inches

or as a decimal

72.26 inches

Step-by-step explanation:

Formula for circumference: [tex]C=2\pi r[/tex]

Radius = [tex]\frac{d}{2}[/tex]

Altogether we get: [tex]C=2*\pi*\frac{d}{2}[/tex]

Which simplifies to: [tex]C=\pi d[/tex]

So now we can plug in 23 for [tex]d[/tex].

[tex]C=\pi*23[/tex]

Our final answer is:

[tex]C=23\pi[/tex] inches

or as a decimal

72.26 inches

Find the value of y in the equation attached to this question

Answers

Answer:

y = 4

Step-by-step explanation:

1) Simplify [tex]3^5[/tex] to 243.

[tex]{9}^{y}=\frac{243\times {9}^{6}}{{27}^{3}}[/tex]

2) Simplify [tex]{9}^{6}[/tex] to 531441.

[tex]{9}^{y}=\frac{243\times 531441}{{27}^{3}}[/tex]

3)  Simplify  [tex]243\times 531441[/tex] to  129140163.

[tex]{9}^{y}=\frac{129140163}{{27}^{3}}[/tex]

4) Simplify  [tex]{27}^{3}[/tex]  to  19683.

[tex]{9}^{y}=\frac{129140163}{19683}[/tex]

5) Simplify  [tex]\frac{129140163}{19683}[/tex] to 6561.

[tex]{9}^{y}=6561[/tex]

6) Convert both sides to the same base.

[tex]9^y=9^4[/tex]

7)  Cancel the base of 9 on both sides.

[tex]y=4[/tex]

Cheers,

ROR

Answer:

y = 4

Step-by-step explanation:

Decompose  in base 3

[tex]9^{y} =\frac{3^{5} (3^{2})^{6} }{(3^{3})^{3} } =\frac{3^{5}3^{12} }{3^{9} } =\frac{3^{17} }{3^{9} } =3^{17-9} =3^{8}[/tex]

if

[tex]3^{8} =(3^{2} )^{4} =9^{4}[/tex]

then

[tex]9^{y} =9^{4}[/tex]

[tex]y=4[/tex]

Hope this helps

2.) The quotient of 3 and y

Answers

Answer:

3 ÷ y

Step-by-step explanation:

Quotient refers to the division of two values, in this case 3 and y.

Answer:

3/y

Step-by-step explanation:

The equation -x = y + 7 written in slope-intercept form is

Answers

Answer:

y= -x-7

Step-by-step explanation:

Slope intercept form: y = mx + b

m = slope

b = y intercept

The first thing you must do is isolate y so that it is by itself on the left side of the equation:

-x = y + 7

Subtract 7 to both sides:

-x - 7 = y + 7 - 7

-x - 7 = y

Flip:

y = -x - 7

-x = y + 7 in slope intercept form is y = -x - 7

This means the slope is -1 and the y-intercept of the equation is (0, -7)

in january of 2013, mr edwards turned 64 years old. in what year was mr edwards born.

Answers

Answer:

xhdvuvzxvzvkkzv jzh jhj,

Step-by-step explanation:

we can subtract his age from the year 2013.
we get 2013-64 which equals 1949.
Therefore, Edward was born in 1949

what is b when the slope is 7/6 and the points are (10, -9)

Answers

Answer:

y = 7/6x - 62/3

Step-by-step explanation:

The equation for slope:

y = mx + b

m is the slope and b is the y-intercept

y = 7/6x + b

-9 = 7/6(10) + b

-9 = 35/3 + b

-62/3 = b

Other Questions
How do the 2 sides of the brain communicate? A patient sees her provider for spontaneous episodes of vertigo lasting 30 minutes each, fluctuating hearing loss, and tinnitus. The provider performs a hearing test and confirms hearing loss in the right ear. The provider documents the patient has Meniere's disease in the right ear. What ICD-10-CM code(s) is (are) reported Rapid weight loss during the first few days of weight due to caloric deficit occurs primarily from a loss of _________________. Nigel bought 10 pencils and 5 erasers for 8$. The price of 2pencils was 1$. What was the price of 2 erasers? Maggie and Tanya went to a fruit store. Maggie bought 10 oranges and 5 apples for $4. Tanya bought 9 oranges and 3 apples for $3. What is the cost of an orange and an apple? Jane will prioritize her tasks by completing the tasks that are most important to complete for that day. Angela will prioritize her tasks by completing the tasks that are easiest and leave the more difficult tasks for later. Who is prioritizing more efficiently?A. Neither Jane nor AngelaB. JaneC. Both Jane and AngelaD. Angela A molecule that can be used as a molecular clock has a neutral mutation rate of one mutation per 12 million years. How many years ago did two species share a common ancestor if the molecules found in these two species differ by a total of six mutations?a 1.5 million yearsb 72 million yearsc 12 million yearsd 36 million years Use what you know to help you complete the sentence.Freedom of religion is guaranteed by theFirst Amendment.Second Amendment.Fourth Amendment.Fifth Amendment. Scientists want to track the wind speeds and precipitation for a hurricane that will affect the entire East Coast of the United States. Which weather equipment would be best to measure the impact of the storm for this entire region?A. an anemometerB. a rain gaugeC. Doppler RadarD. global positioning system (GPS) The angle of depression from the hot-airballoon to the car is 34.How high is the hot-air balloon flying?Give your answer to 2 s.f.6400 feetNot drawn accurately 11. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=12, x = 5, p = 0,25 A) 0.082B) 0.091 C) 0.027D) 0.103 Given: AM||RZ , angle R is congruent to angle ZProve: angle RAM is congruent to angle ZMA in general what is the importance of reflex testing in a routine physical examination 5 sustantivos que se clasifiquen como comunes y colectivos who fulfills the witches prophecy's of not being born a women what is the missing pattern 7, 11, 2, 18, -7 How many times should you refer to the author in a summary and Pharaphrase Weekly wages at a certain factory arenormally distributed with a mean of$400 and a standard deviation of $50.Find the probability that a workerselected at random makes between$500 and $550. Need the answer as a % !!! The length of a rectangle is 7 inches and the width is 42 inches. What is the ratio,using whole numbers, of the length to the width? The new classical model implies that substitution of debt for tax financing a. leaves wealth, and therefore aggregate demand, unchanged because the debt will require higher future tax rates. b. increases aggregate demand and exerts an expansionary effect on real output. c. reduces savings because it increases both the current and future tax liability of households. d. is highly effective against inflation.