Given that X varies directly as Y³ and X = 54, Y = 3. find X 10 Y = 5 what is the relationship between X and Y?​

Answers

Answer 1

Answer:

x=6y3

Step-by-step explanation:

we first find the constant of proportionality where by we say; x= ky3

we're given x = 54

and y = 3

so

54=k(3cubed)

therefore

54= 9k

divide be 9 both sides to get k which is the constant

k=6

now rewrite the equation replacing k with 6

it will be...

X=6Y3


Related Questions

please help, im literally so tired

Answers

Answer:

sameee lol

Step-by-step explanation:

PLEASE HELP
Create a cubic function that is not the parent function.

Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.

Answers

[tex]y = x^{3} + 2[/tex]

[tex]y = g(x) + c[/tex]

Here,  [tex]g(x) = x^{3}[/tex] and [tex]c = 2[/tex], the parent function is [tex]g(x)[/tex]. Because [tex]c > 0[/tex], the graph undergoes a vertical shift 2 units up along the y-axis.

1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].

2) The transformation from parent function to function is vertical stretch.

A cubic function is a polynomial function of degree 3. So the graph of a cube function may have a maximum of 3 roots. i.e., it may intersect the x-axis at a maximum of 3 points.

The general form of the cubic function is [tex]ax^3+bx^2+cx+d=0[/tex], where a, b, c and d are real numbers.

Let the cubic function be [tex]x^3+1[/tex] and the parent function be [tex]x^3[/tex].

To find the transformation, compare the function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical strech.

Horizontal shift: None

Vertical shift: Up 1 units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

Therefore,

1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].

2) The transformation from parent function to function is vertical stretch.

To learn more about the cubic function visit:

https://brainly.com/question/28051275.

#SPJ3

Write the equation of the line graphed below in slope-intercept form.

a. y = 3x +12

b. y = 12x + 3


c. y = 2x + 3


d. y=12x

Answers

Answer:

C

Step-by-step explanation:

c. y = 2x + 3

first you need to find the y-intercept which is 3

and then the slope rise/run which is 2 so y = 2x + 3

One thousand dollars is deposited into an ordinary annuity after each 6 month period for 2 years. The account pays 4 percent interest compounded semiannually.what is the future value of the account in 2 years ??

Answers

Answer:

  $4121.61

Step-by-step explanation:

Use the formula for the balance of an ordinary annuity.

  A = P((1 +r/n)^(nt) -1)/(r/n)

  A = $1000((1 +.04/2)^(2·2) -1)/(.04/2) ≈ $4121.61

The future value of the account is $4121.61.

Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2?

Answers

I think the answer might be 6 but I’m not really 100% sure

Two angles of a quadrilateral measure 325° and 10°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answers

Answer:

The answer is 60 and 80

Step-by-step explanation:

Find the Solution in the Interval [0,2 pi]
tan(theta/7)+ square root3= 0

Answers

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The solutions to the equation are ...

  tan(θ/7) +√3 = 0

  tan(θ/7) = -√3

  θ/7 = arctan(-√3) +nπ . . . . . . . for integer n

  θ = 7(-π/3 +nπ) = 7π(n -1/3)

For n=0, θ = -7π/3 -- not in the required interval.

For n=1, θ = 14π/3 -- not in the required interval.

There are no solutions in the required interval.

what is 10 2/1 divided by 2 1/4

Answers

Answer:

5.3 but the three is repeated

Step-by-step explanation:

Answer:

[tex]10 \frac{2}{1} \div 2 \frac{1}{4 } = \frac{48}{9} [/tex]

Penjelasan

[tex]10 \frac{2}{1} = \frac{12}{1} [/tex]

[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]

[tex] \frac{12}{1} \div \frac{9}{4} = \frac{12}{1} \times \frac{4}{9} = \frac{48}{9} [/tex]

Then the answer is 48/9

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

[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]

the value of 3 1/5 - 1 2/3 is?

please write the answer with sums and explanations

anyone with the correct answer will be given 10-20 points and will be marked as Brainliest ​

note: it's not 31 or 12 it's seperated

Answers

QUESTION :-

The value of 3 1/5 - 1 2/3

ANSWER :-

[tex] = > \: \frac{16}{5} \times \frac{5}{3} \\ [/tex]

Take Lcm by the denominator ( check the pic )

[tex] = > \: ( \frac{16 \times3 }{5 \times 3} ) \: = \: \frac{48}{15} [/tex][tex] = > \: ( \frac{5 \times 5}{3 \times 5} ) \: = \: \frac{25}{15} [/tex]

Now subtract this

[tex] \frac{48}{15} - \frac{25}{15} = \: \frac{23}{15} [/tex]So , now ur ans is :-

[tex] \frac{23}{15} [/tex]

Question:[tex] \rightarrow[/tex] the value of 3 1/5 - 1 2/3 is?

=================================================

Answer:

[tex] \large\rightarrow \tt 1 \frac{8}{15}[/tex]

=================================================

Explanation/Solution:

To solve the problem, let's find the LCM or Latest Common Multiple.

[tex]\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1[/tex]

[tex] \rightarrow [/tex] LCM = 5 x 3 = 15

[tex] \\ [/tex]

Since the LCM is already finished let's solve for the both numerator and denominator.

[tex]\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} [/tex]

Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.

[tex] \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} [/tex]

Now its time to subtract.

[tex]\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} [/tex]

Therefore, the answer is 1 8/15.

=================================================

[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

Which sentence uses correct subject-verb agreement?


A. The river through our cities are polluted

B. Mountains in Colorado is beautiful.

C.The book about South American rivers is overdue.

D. The trees around our state is blooming.

Answers

C, is the correct answer.

Answer: C

Step-by-step explanation: the guy up top is correct:)


A car travels a distance of 7575 meters in a time of 25 hours. What is the car's speed?

Answers

Answer:

303 miles per hour

Step-by-step explanation:

PLEASE HELP!!!!!!!! PLEASE DON’T SEND LINK(S). LOOK AT THE PICTURE HAS ALL THE INFORMATION.

Answers

Answer:

5

Step-by-step explanation:

50÷5=10-5=5

wished it helped.

julieta drew the triangle that is shown below. julieta rotated the triangle 180 degrees clockwise about the origin. what is the new triangle?​

Answers

Step-by-step explanation:

The coordinates of the rotated triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ABC

Now , the coordinates of the triangle ABC is

The coordinate of A = A ( 1 , 1 )

The coordinate of B = B ( 3 , 2 )

The coordinate of C = C ( 2 , -2 )

Now , on rotating the triangle ABC by 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

Substituting the values in the equation , we get

The rotated triangle will have the coordinates A'B'C'

The coordinate of A' = A' ( -1 , -1 )

The coordinate of B' = B' ( -3 , -2 )

The coordinate of C' = C' ( -2 , 2 )

Hence , the coordinates of the triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )

To learn more about rotation click :

https://brainly.com/question/3956347

#SPJ2

cuanto es 3/5 menos 1/2

Answers

Answer:

1/10

Step-by-step explanation:

(3/5) - (1/2)

3/5 = 3*2/ 5*2 = 6/10

1/2 = 1*5/ 2*5 = 5/10

(6/10) - (5/10)

= (6-5) / 10

= 1/10

the answer to your question is 1/10

s2=16, what is this?

Answers

Answer:

s= 4,-4

Step-by-step explanation:

(PLEASE HELP ME I NEED THIS VERY QUICKLY)
find the value of x in the rhombus ​

Answers

Answer:

1/2 and -5/2

Step-by-step explanation:

Assuming all sides are equal just put the equations equal to each other and solve

At a birthday party, 20% of the guests wear glasses.

If there are 30 guests, how many wear glasses?

Answers

Answer: 6
20x30=600
600/100=6
6 guests were wearing glasses

Answer:

if 100% =30 guests what about 20%=6%

The difference of twice a number and 8 is greater than 17.
Use the variable x for the unknown number.

Answers

For the difference of a number and 3, you should do b-3 and twice that would be 2(b-3). For this to be at most -23, the inequality would be ≤. Thus,

2(b-3)≤-23

is the answer.

Answer:

2x-8>17

2x>25

x>12.5

20 EASY POINTS PLUS BRAINLIEST IF YOU ANSWER THIS QUESTION

Answers

Mark me as Brainliest Please

How can I divide 7.86 divide by 0.2

Answers

Answer:

39.3

Step-by-step explanation:

pa brainliest

7.86/0.2
= 393/10
= 39.3

31 divided by 943.89

Answers

Answer:

0.032

Step-by-step explanation:

Answer:  0.03284281007

Step-by-step explanation:

(2m-3)(2m+3)(4m^2+9)

Answers

Answer:

16[tex]m^{4}[/tex]−81

Step-by-step explanation:

Hope this is correct and it helps :)

math
solve this pls lol

Answers

Answer:

The two triangles are related by congruent angles/similarity, so the triangles are similar.

Have an awesome day! :D

There are four goldfish and six guppies in a fish tank. What is the ratio of the guppies to goldfish in the tank? Write your answer in simplest form if possible

Answers

Answer:

2:3

Step-by-step explanation:

4 goldfish

6 guppies

ratio sign is :

4:6

simplyfy

2:3

Answer:

2:3

Step-by-step explanation:

4:6 ratio simplified is 2:3

Will be giving brainliest! Have a good day and you’ll get through it !

Answers

Answer:

ok you to !!!!!!!!! good night!!

Step-by-step explanation:

Jaxon borrowed some money from his friend in order to help buy a new video game system. Jaxon agreed to pay the friend back some amount every week until his loan was paid off. Let L represent the amount Jaxon owes his friend after tt weeks. A graph of L is shown below. Write an equation for L then state the x-intercept of the graph and determine its interpretation in the context of the problem.

Answers

Answer:

L = -2t + 10, (5,0) the interpretation of the x-intercept in the context of the problem is the week that Jaxon owes no more money

Step-by-step explanation:

so we have L=mt+b with m being the slop and b being the y-intercept. the y-intercept is found by looking at what L is when t=0. when t=0, L=10 so b=10. now we have L=mt + 10. to find slop figure out rise/run. every 1 increase in t, L decreases 2 units. this is -2/1 or -2 so m=-2. so the graph is L = -2t + 10

the x- intercept is the t value when L=0, looking at the graph, when L=0, t=5, so the x-intercept is at (5,0)

I need right answer only please no link no bot

Answers

Answer:

[tex]972 \pi \: {in}^{3} [/tex]

Step-by-step explanation:

volume of container

[tex] = \: \frac{4\pi {r}^{3} }{3} [/tex]

=
Given f(x) = 3x2 + 5x + k, and the remainder when f(x) is divided by
x + 3 is 29, then what is the value of k?

Answers

Answer:

the answer is k=2

Step-by-step explanation:

82.1 / 7.8= What is the answer yall

Answers

Answer:

10.5

Step-by-step explanation:

Hope I helped please mark brainliest if I did and thanks! <3

7. Solve. *
Tommy had 3 pounds of peanuts. If he split the peanuts up between himself
and his three friends, how many pounds of peanuts would each person gets

Answers

Answer:

0.75 is what they each get.

Step-by-step explanation:

You need to divide 3 by 4.

Other Questions
please answer the question and how you answered it NO LINKS AND NO WEBSITES please help me w my khan academy Jinny is selling bracelets for $4.50. So far, she has earned $315.00. She needs to earn more than $459.00 in order to meet her goal. How many more bracelets, x, does she need to sell in order to reach her goal? Select the inequality that includes the fewest number of bracelets that she can sell and still reach her goal. A. x > 70 B. x > 32 C. x > 172 D. x > 102 Simplify. 3x+4(x+3)+27x + 144x + 93x + 97x + 5HELP ASAP Impossible unfair riddlethere are 14 chickens and 12 cows how many are left Why was the system of checks and balances included in the Constitution?a to keep the President of the United States from vetoing legislationb to slow down the process of government so it doesn't move too fastc to prevent one branch of the government from becoming too powerful A storyboard is _____________a.a visual series of rough drawings depicting the scenes of action in a story.b.a transparent sheet of film on which objects are drawn or painted for traditional hand drawn animation.c.a visual series of sections of captured images on clear film.d.an animation technique to make a physically manipulated object appear to move on its own.Please select the best answer from the choices providedABCD Help please i need it fast The value of the digit 8 in 1,857 is how many times the value of the digit 8 in 3,083? please help me, ill give brainlist and points please dont be one of those people that go link below solve pls brainliest Answer these questions Can someone please help me 18) Which economic concept would MOST likely account for a move on the curve from point 'A' to point "B"?A) ChoiceB) GrowthC)InflationD) Unemployment A student earned $175 last week. She worked 35 hours. How much did she earn per hour? A container of 24 eggs costs $6.96. What is the cost of each egg? Please help me anyone i will give you brain points Subtract.7 1/5(3/5)Enter your answer in the box as mixed number in simplest form. This excerpt is from a speech by Major Ridge to his fellow Cherokees in support of the 1835Treaty of New Echota. Major Ridge and his son John were Cherokee leaders who negotiatedthe Treaty of New Echota with the U.S. Government to leave traditional Cherokee lands inthe Southeast without the support of most Cherokee people.I am one of the native sons of these wild woods. I have hunted the deer and turkey here,more than fifty years. I have fought your battles, have defended your truth and honesty, andfair trading. The Georgians have shown a grasping spirit lately; they have extended theirlaws, to which we are unaccustomed, which harass our braves and make the children sufferand cry. I know the Indians have an older title than theirs. We obtained the land from theliving God above. They got their title from the British. Yet they are strong and we are weak.We are few, they are many. We cannot remain here in safety and comfort. I know we lovethe graves of our fathers. We can never forget these homes, but an unbending, ironnecessity tells us we must leave them. I would willingly die to preserve them, but anyforcible effort to keep them will cost us our lands, our lives and the lives of our children.There is but one path of safety, one road to future existence as a Nation. That path is openbefore you. Make a treaty of cession. Give up these lands and go over beyond the greatFather of Waters.What happened to the native people The answer is not 1465.5. Every month, Ms. Thomas pays her car loan through automatic payments (withdrawals) from her savings account. She pays the same amount on her car loan each month. At the end of the year, her savings account balance changed by -$2,931 from payments made on her car loan. What is the change is Ms. Thomas' savings account balance each month due to her car payment?