y is directly proportional to x^3
y = 17
when
x = 4
Work out an equation connecting y and x.​

Answers

Answer 1

Answer:

[tex] 64y = 17 {x}^{3} [/tex]

Step-by-step explanation:

[tex]y \: \alpha \: {x}^{3} ....(given) \\ \therefore \: y = k {x}^{3} .. (1)\\ (k =arbitrary \:constant) \\when \: x = 4, \: \: y = 17, \:k =? \\ 17 = k {(4)}^{3} \\ 17 = 64k \\ k = \frac{17}{64} \\ plug \: k =\frac{17}{64} \: in \: equation \: (1) \\ y = \frac{17}{64} {x}^{3} \\ 64y = 17 {x}^{3} [/tex]

Answer 2

The correct equation connecting y and x is,

⇒ y = 17/64x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

⇒ y is directly proportional to x³

Hence, We get;

⇒ y = kx³

Here, y  17 at x = 4;

Hence,

⇒ 17 = k × 4³

⇒ k = 17 / 64

Thus, The correct equation connecting y and x is,

⇒ y = 17/64x

Learn more about the mathematical expression visit:

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Related Questions

Martha has two pet poodles. Fifi, her standard poodle, weighs 7 times as much as Buttercup, her toy poodle.

Pick the diagram that models the ratio in the story.

If Fifi weighs 56 pounds, how much does Buttercup weigh?

pounds

Answers

The diagram that models the ratio in the story is diagram A.

When fifi weighs 56 pounds, Buttercup will weigh 8 pounds.

What is a ratio?

It should be noted that ratio demonstrates how many times one number can fit into another number. It contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data points.

Let buttercup be x

Let Fifi be 7x

Fifi weighs 56 pounds. This will be:

7x = 56

7x = 56

Divide

x = 56 / 7

x = 8

Buttercup is 8 pounds.

Learn more about ratio on:

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

the mean changes a lot, the median doesn't change

Answer:

B

Step-by-step explanation:

the mean is 599.5 and the median is 410

What is the solution to the inequality? x/2 > 7

Answers

Answer: x > 14

m a th way can help with any similar questions like this !!

Use Pythagorean Theorem to find the value of x

Answers

Answer: 13

Step-by-step explanation:

pythagorean theorem: a^2+b^2=c^2

plug in values: 5^2+12^2=c^2

solve:

5^2+12^2=c^2

25+144=c^2

169=c^2

13=c

What's the constants of 5x + 4 + 7x

Answers

the constant / the answer is 4

Answer:

4

Step-by-step explanation:

the constant is a number that never changes

find the volume of the cylinder!



Use 3.14 for pi-

round your answer to the tenths place !!


Will mark b if correct:)

Answers

2123.72 cm


(sorry if it’s wrong)

THIS IS TO ALL THE PEOPLE ANSWERING WITH UN KNOWN LINKS

Answers

Answer:

right i hate that so much

Step-by-step explanation:

Answer:

I feel the same though. So no need to feel bad. I hope you don't get scammed by anymore of them. BTW I have some more information on them on some of my questions if you wanna look. :) If they are still there though. Lol...

how many units of meters make a kilometer?

Answers

ANSWER: 1000m


EXPLANATION: 1 km = 1000

Find and interpret the standard deviation of the set of data. 7. {6, 8, 2, 3, 2, 9}​

Answers

Answer:

3.1

Step-by-step explanation:

Mhanifa please help! Look at the picture attached!!!

Answers

Answer:

(17)

Sum of interior angles of a quadrilateral is 360°

110° + 130° + x + x - 3° = 360°2x = 360° - 237°2x = 123°x = 61.5°

(18)

Sum of interior angles of a hexagon is 180°*(6 - 2) = 720°

2*90° + 2x + 2(x + 22°) = 720°90° + x + x + 22° = 360°2x = 360° - 112°2x = 248°x = 124°

(19)

Interior angles of a given pentagon are all marked as congruent, so the exterior angles are congruent too.

Sum of exterior angles is 360°.

x = 360°/5x = 72°

I really need help guys plz help me and thank you.

Answers

Answer:

It's A

Step-by-step explanation:

............none...........

I think is A. It looks kinda reasonable.

Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is​

Answers

I don’t know the answer to this bc I can’t remember


best describes her chances of rolling 12 in one try?
A certain
D Impossible
B likely
e unlikely
*29. a. Multiple Choice which of these Venn diagrama illustrates the
relationship between squares () and rhombuses (R)?
A
D
R
Explain Explain your answer for part a.
90. The

Answers

B.likely answer answer

An angle measures 40° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

70° and 110° .

Step-by-step explanation:

At a restaurant your family spends $45.00 on lunch. If they want to leave a 15%
tip, How much should they leave as a tip for the waitress?
$67.50
$6.75
$4.50

Answers

Answer:

6.75

Step-by-step explanation:

hope it helps mark as brainliest

Answer:

$6.75

Step-by-step explanation:

Take $45 by .15 and multiply them. You will get $6.75

Tom decides to pick up some pizzas and drinks for his family. He notices that the pizza costs the same as 7 drinks. The 2 pizzas and 8 drinks cost $33. What is the price of each item?

Answers

Answer:

Drinks = $1.5

Pizza = $10.50

Step-by-step explanation:

let d = drinks

p = pizza

p = 7d  equation 1

2p + 8d = 33 equation 2

from equation 1, we know the price of one pizza, the price of two pizzas can be determined by multiplying by 2

2p = 7d x 2 = 14d  eqn 3

Substitute for 2p in equation 2  

14d + 8d = 33

22d = 33

Divide both sides of the equation by 22

d = $1.5

Substitute for d in equation 1

p = 1.5 x 7 = $10.5

OPLEAS HELP ILL GIVE BRAUINLIEST

Answers

Answer:

The bank is what pays you interest.

Step-by-step explanation:

This is because when you put money in a savings account, the bank is technically borrowing the money and paying you interest in return.

pleas help ive been in this exam for 4 hours
An expression is shown below:

10n3 − 15n2 + 20xn2 − 30xn

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

the

Step-by-step explanation:

the comen factor are 10-15+20-30

and Factor the entire expression completely.

are n and 2

Five coins are flipped. What is the probability that all coins land tails up?​

Answers

Answer:

Step-by-step explanation:

One coin

Answer:

i think 1/10

Step-by-step explanation:

Arelli uses 8.4 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Answer: 2.1 Pints

Step-by-step explanation:

Given

Areli uses 8.4 Pints of blue and White Paint

If the three-fourth is blue paint i.e.

[tex]\Rightarrow 8.4\times \dfrac{3}{4}=6.3\ \text{Pints}[/tex]

The remaining one-fourth is White Paint i.e.

[tex]\Rightarrow 8.4\times \dfrac{1}{4}=2.1\ \text{Pints}[/tex]

What is the solution to this inequality?
4(2x + 2) + 12 > 100

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Just a bit help here, heh... -8a^0?

Answers

Answer:

-8 is the answer

Step-by-step explanation:

BCos any number or letter raised to the power zero is 1

-8*a⁰

-8*1

-8

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project. How many different ways are there to present those ribbons if the order matters? 56 336 6,720 8,064

Answers

Answer:

the answer is B.336

Step-by-step explanation:

got it right on ed

There are 336 different ways are there to present those ribbons if the order matters.

What is the combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Eight students are competing for a blue, red, and yellow ribbon for their agriculture project.

Different ways are there to present those ribbons if the order matters.

By permutations, we have to calculate the number of different  ways to arrange the ribbon is;

[tex]=3 \times 2\times 1\\\\=6[/tex]

Now, we have to calculate the different  ways to choose 3 winners from 8 is;

[tex]=8\times 7\times 6\\\\=336[/tex]

Therefore, the correct option is (b), 336 ways are there to present those ribbons if the order matters.

For more details about the combination refer to this link:

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27 MP3s is what percent of 238 MP3s

Answers

Answer:

27/238 = n/100

Step-by-step explanation:

A prism has a volume of 405 cubic inches.
4.5 in.
15 in.
Which is the correct substitution for finding the height of the prism?​

Answers

Answer:

405 = 15 times 4.5 times h

Step-by-step explanation:

Complete question

A prism has a volume of 405 cubic inches.

A prism has a length of 15 inches, height of h, and width of 4.5 inches

Which is the correct substitution for finding the height of the prism?

A V = l w h. 405 = 15 + 4.5 + h.

B V = l w h = 15 times 4.5 times 405

C V = l w h = 15 times 4.5 times 15

D V = l w h. 405 = 15 times 4.5 times h

Find the diagram attached

Volume of the prism is expressed as;

V = lwh

l is the length

w is the width

h is the height

Given the following

l = 15inches

w = 4.5inches

Required

Expression to calculate the height g

Substitute the given values into the formula

V = lwh

405 = 15 * 4.5 * h

Hence the required option is 405 = 15 times 4.5 times h

Answer:

405 = 15 times 4.5 times h

Step-by-step explanation:

Give it to the other person.

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.

Answers

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

Pyramid A

[tex]s = 4[/tex] -- base sides

[tex]V = 36[/tex] -- Volume

Pyramid B

[tex]s = 6[/tex] --- base sides

Required

Determine the volume of pyramid B [Missing from the question]

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

[tex]V = \frac{1}{3} * B * h[/tex]

Where B represents the area of the base equilateral triangle, and it is calculated as:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]

[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]

[tex]B = 4\sqrt 3[/tex]

The height is calculated from:

[tex]V = \frac{1}{3} * B * h[/tex]

This gives:

[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]

Make h the subject

[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]

[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]

[tex]h = \frac{27}{\sqrt 3}[/tex]

To calculate the volume of pyramid B, we make use of:

[tex]V = \frac{1}{3} * B * h[/tex]

Since the heights of both pyramids are the same, we can make use of:

[tex]h = \frac{27}{\sqrt 3}[/tex]

The base area B, is then calculated as:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

Where

[tex]s = 6[/tex]

So:

[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]

[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]

[tex]B = 9\sqrt 3[/tex]

So:

[tex]V = \frac{1}{3} * B * h[/tex]

Where

[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]

[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]

[tex]V = \frac{1}{3} * 9 * 27[/tex]

[tex]V = 81[/tex]

Answer:

81

Step-by-step explanation:

Select the histogram that represents the given high temperatures.
66, 68, 80, 84, 89, 87, 92, 83, 79, 77, 72, 69, 82

Answers

Step-by-step explanation:

Step 1: On the horizontal axis, we can choose the scale to be 1 unit = 11 lb.Since the weights in the table start from 65, not from 0, we give a break/kink on the X-axis. Step 2: On the vertical axis, the frequencies are varying from 4 to 10.Thus, we choose the scale to be 1 unit = 2.

 please help me ahhh im doing 8th grade math with pythagorean theorem

Answers

I think it isnt a right triangle, but im sorry if thats wrong

Step-by-step explanation:

The pythagorean theorem is the sum of the two legs squares equal the hypotenuse squared.

The hypotenuse is the longest side so 3.5 is our hypotenuse.

Apply formula to see of true.

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {2.5}^{2} + {3}^{2} = {3.5}^{2} [/tex]

[tex]6.25 + 9 = (3.5 {}^{2}) {?} [/tex]

[tex]15.25 = 12.25 {?}[/tex]

So it isn't a triangle since they aren't equal

WILL GIVE BRAINLIEST PLEASE HELP
:)

You decide to take a trip to Japan to see Mt. Fuji in person. But while you are there, you can bring back some of those rectangular watermelons you’ve heard so much about. Now, you’re packing for your trip. You have two small bags. In order for you to carry a bag on the plane, it must fit inside the Carry-on Baggage Check Box. The Carry-on Baggage Check Box has dimensions of approximately 22" x 14" x 9". Your leather bag has a height of 18 inches, a depth of 12 inches, and a width of 8 inches. Your canvas bag has a height of 18 inches, a depth of 15 inches, and a width of 10 inches.

1. What is the volume of the Carry-On Baggage Check Box?
2. What is the volume of the leather bag?
3. What is the volume of the canvas bag?
4. Which bag will definitely fit into the Check Box? Explain.

Answers

Answer:

You have my profile picture

Step-by-step explanation:

Answers:

1. The volume of the carry-on baggage check box is 2772 inches³

2. The volume of the leather bag is 1728 inches³.

3. The volume of the canvas bag is 2700 inches³.

4. The leather bag will definitely fit into the check box.

Hope this helps!

When answering, make sure to put the units, which is inches cubed, which you always use for finding the volume of a figure.

Happy learning,

Applepi101

Find the value of x. 5x+33+17x+37

Answers

*X can not be found, only simplified or factored)

5x+33+17x+37

Add the x units

22x+33+37

Add the 33 and 37

22x + 70

Subtract 77 to the other side

Simplify: 22x = -70

Factor: 2(11x+35)

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