If y is a positive integer, for how many different values of y is [tex]\sqrt[3]{144\y}[/tex]a whole number?

If Y Is A Positive Integer, For How Many Different Values Of Y Is [tex]\sqrt[3]{144\y}[/tex]a Whole Number?

Answers

Answer 1

Answer:

2

Explanation:

I'll explain later, it has to do with prime factors, and perfect cubes.

The two values of y that work are 18, and 144.

³√(144/18) = ³√(8) = 2 [whole number]

³√(144/144) = ³√(1) = 1 [whole number]


Related Questions

Convert the following repeating decimal to a fraction in simplest form.
86

Answers

The answer is 43/50


Omar has a bag of marbles. The bag contains 10 red marbles 5 blue marbles and 1 green marble. He will randomly select 2 marbles from the bag one at a time
without replacement. What is the probability that Omar will select a red marble first and then a green marble?

Answers

Answer:

10/16

Step-by-step explanation:

Work out the mean for the data set below:
4.7, 4.2, 8.2, 9.5, 3.1

Answers

Answer:

5.94

Step-by-step explanation:

To find the mean, you need to add the numbers and divide it by however many numbers you have.

4.7 + 4.2 + 8.2 + 9.5 + 3.1 = 29.7

There are 5 numbers, so divide the sum by 5

29.7/5 = 5.94

The mean of the data set 4.7, 4.2, 8.2, 9.5, 3.1 will be 5.94.

What is Mean?

The mean is the straightforward meaning of the normal of a lot of numbers.

The data set is given below.

4.7, 4.2, 8.2, 9.5, 3.1

Then total number of the term are 5.

Then the mean will be

Mean = (4.7 + 4.2 + 8.2 + 9.5 + 3.1) / 5

Mean = 29.7 / 5

Mean = 5.94

More about the mean link is given below.

https://brainly.com/question/521501

#SPJ2

The Smith family is looking to rent a large truck for their upcoming move. With Rose's Moving, they would pay $40 for the first day plus $6 per additional day. With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day. Before deciding on which company to use, Mrs. Smith wants to find out what number of additional days would make the two choices equivalent with regards to cost. How many additional days would that be?

Answers

Answer:

10 days

Step-by-step explanation:

The Smith family is looking to rent a large truck for their upcoming move. With Rose's Moving, they would pay $40 for the first day plus $6 per additional day. With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day. Before deciding on which company to use, Mrs. Smith wants to find out what number of additional days would make the two choices equivalent with regards to cost. How many additional days would that be?

Let the number of additional days = x

With Rose's Moving, they would pay $40 for the first day plus $6 per additional day.

40 + 6x

With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day.

90 + x

Comparing both

40 + 6x = 90 + x

6x - x = 90 - 40

5x = 50

x = 50/5

x = 10

The number of additional days = 10 days

PLEASE DON'T JUST WRITE AN ANSWER!!! I WOULD REALLY APPRECIATE A STEP BY STEP EXPLANATION SO I CAN UNDERSTAND IT MYSELF :)) <3
I've gotten this problem wrong three times and can't seem to figure out what I'm doing wrong :(

Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94.

Could someone please walk me through the process of writing two systems of equations that represents the number of each type of pie????

Let x = cost of each apple pie; y = cost of each lemon meringue pie.

Thank you thank you so so much!

Answers

Step-by-step explanation:

Since Castel sold 6 apple pies and 4 lemon meringue pies for $80, we have 6x + 4y = $80.

Also Gabriella sold 6 apple pies and 5 lemon meringue pies for $94, we have 6x + 5y = $94.

6x + 5y = $94

- (6x + 4y = $80)

=> y = $14.

Therefore 6x + 5($14) = $94, 6x = $24, x = $4.

Hence each apple pie costs $4 and each lemon meringue pie costs $14.

In a system of two linear equations, the lines represented by each equation have the same slope. Which could be the total number of solutions to the system of equation

Answers

Answer:

Please see explanation

Step-by-step explanation:

A system of linear equations in two variables represents two lines on graph.

When both the lines have same slope, there can be two cases

Same slope with different y-intercepts

When two lines have same slope and different y-intercepts, that means that both lines are parallel and parallel lines have no solution.

Same slope with same y-intercepts

When the slope of both lines is same and the y-intercept is also same, this means that both the equations refer to the same line. This means that the system has infinite number of solutions.

A The integer with the greatest value is the one that has the greatest absolute value.
B The integer with the greatest value is one that is farthest from zero on the number line.
C The integer with the greatest value is the one that is farthest to the right on the number line.
D The integer with the greatest value is the one that is farthest to the left on the number line.

Answers

Answer: B The integer with the greatest value is one that is farthest from zero on the number line.

Step-by-step explanation: hope it correct :D

ASAP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!! i'll give brainliest!!!!!!!! help me !!!!!!!

Answers

Slope is 2/1 or 2
The y intercept is 3
Equation is y=2x+3

if anyone knows could u please help

Answers

multiply the input by -4 ..

Pl help it’s for a grade I will give you Brainly if right

Answers

Answer:

b

Step-by-step explanation:

Answer:

It is the last option.

Step-by-step explanation:

PLEASE HELP!!! URGENT!!!
Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y + 3x3 +2. Explain which student is correct and why.

Answers

Answer:

They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.

Sample Response: They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.

The value of a baseball​ player's rookie card began to increase once the player retired. When he retired in his card was worth ​$. The value has increased by ​$ each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y​ proportional? What was the value of the card in ​?

Answers

Answer:

No, x and y are not proportional

The value of card in 2006 = $38.05

Step-by-step explanation:

I got this! I hope this helps!

The area of a rectangle is 1,872 ft2. The ratio of the length to the width is 9:13. Find the perimeter of the rectangle. A. 88 ft B. 117 ft C. 168 ft D. 176 ft

Answers

Answer:

Length = 36

Width = 52

Step-by-step explanation:

Area of rectangle = Length * width

Length = L ; Width = W

Area (A) = 1872 ft²

Ratio L:W = 9:13

Hence,

1872 = lw - - - (1)

l/w = 9/13 - - - (2)

From (2)

13l = 9w

l = (9/13)w - - (3)

Put (3) into (1)

1872 = (9/13)w * w

1872 = 9/13 w²

24336 = 9w²

24336 / 9 = w²

2704 = w²

w = 52

If w = 52

1872 = 52 * l

l = 1872 / 52

l = 36

Length = 36

Width = 52

a 10-foot by 12-foot wall has two windows that measures 3 feet by 5 feet each if the windows are not to be painted what percent of the wall will be painted in a percentage

Answers

75% of the wall will be painted. 10•12=120. (3•5)2)=30. 30/120=.25 That mean 25% of the wall is window, and 75% is paintable.

Hi I need help please

Answers

Answer:

15%

Step-by-step explanation:

Percent Error formula is the difference between the Actual and the guess value    divided by the actual.

So it's 198- 172  /  172  x 100

= 15%

hire purchase
how to find deposit in hire purchase ​

Answers

Answer:

divide the monthly payments by the hire purchase

Step-by-step explanation:

this may be what your asking

Pls help I have to turn this in tomorrow

Answers

Answer:

10/15 - 3/15= 7/15

Step-by-step explanation:

none

Solve for the values of x and y. Round the answers to the nearest hundredth.​

Answers

Answer:

x = 26, y = 19

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{ST}{NP}[/tex] = [tex]\frac{RS}{MN}[/tex] , substitute values

[tex]\frac{x}{13}[/tex] = [tex]\frac{32}{16}[/tex] = 2 ( multiply both sides by 13 )

x = 26

and

[tex]\frac{MP}{RT}[/tex] = [tex]\frac{MN}{RS}[/tex] , substitute values

[tex]\frac{y}{38}[/tex] = [tex]\frac{16}{32}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 38 ( divide both sides by 2 )

y = 19

I WILL GIVE YOU BRAINLY PLSS



It costs Fred $0.20 to send a text message from his cell phone. He has already spent $4 in text messages this month. If he has a total of $10 that he can spend
this month on text messages, which inequality shows the greatest number of text
messages that he can send?
A. 4 + 0.20 ≤ 10
B. 4 + 0.20 ≤ 10
C. 4 + 0.20 < 10
D. 4 + 0.20 < 10


PLSS SHOW YOUR WORK PLSS

Answers

Answer:

I think it should be 4+ .20 = 10 so A or B maybe you wrote it out wrong

so the answer is A or B because you have to divied and A and B are the same  he would end up sending 50 msg

The ratio to ally's money to Jonathan's money is 4:9 if ally has 36 dollars then how much does Jonathan have

Answers

Answer:

81

Step-by-step explanation:

4/9=36/81

Help quick!!!

What is the distance between the following points:

A ( 25,20 ) B ( 5, 20 )

Answers

Answer:

(20,0)

Step-by-step explanation:

I think that's it sorry if I am wrong:(

If EG = 3y - 10 and ET = 2y, find the value of y In parallelogram FGHI.
1
Find Value of y.

Answers

Answer:  y = 10

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

Work Shown:

EI = EG

3y-10 = 2y

3y-10-2y = 0

y-10 = 0

y = 0+10

y = 10

Note how if y = 10, then

EI = 3y-10 = 3*10-10 = 20EG = 2y = 2*10 = 20

Both EI and EG are 20 units long when y = 10. This confirms the answer.

4. Solve the inequality. 9+8 l 4a - 5 l >113​

Answers

Answer:

i need this for a challenge

Step-by-step explanation:

which describes a number that cannot be irrational?

Answers

Answer:

A number that can be written as the ratio of two integers .

Step-by-step explanation:

Irrational numbers are numbers those numbers that have infinite non-periodic decimals, that are reproduced in an unlimited way without an end point, without any part of the sequence being repeated. The set of irrational numbers, added to the rational numbers, configures the category of real numbers.

Irrational numbers include, for example, the famous number Phi (π), whose approximate value is 3.14 ..., extending its decimals indefinitely. These numbers are most often used in mathematical analysis.

Answer:

a number that can be written as the ration of two integers

Step-by-step explanation:

i’m doing the i-ready

The circumference of a circle is about 40.82 inches. What is the diameter and the radius of the circle? Round to the nearest tenth and show all work.

Answers

Answer:

Step-by-step explanation:

The diameter is 13 and the radius is 6.5

answers for both boxes please ​

Answers

Step-by-step explanation:

-5x + 4y = 2

+ (9x - 4y = 6)

=> 4x = 8, x = 2.

Therefore -5(2) + 4y = 2, 4y = 12, y = 3.

The solution pair is (2,3).

2. calculate the value of c
please help​

Answers

Answer:

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = ({7 \sqrt{2}) }^{2} + ( {7 \sqrt{2} ) }^{2} \\ {c}^{2} = 2(49 \times 2) \\ {c}^{2} = 196 \\ c = \sqrt{196} \\ c = 13 \: units[/tex]

If n = 4, all of the following expressions are equivalent except _____.


16

n ^-2

1/16

1/n^2

Answers

Are those choices or what?

Select all irrational numbers.

Answers

Answer:

Option 1 , 2 & 5

Step-by-step explanation:

4 & 16 are perfect squares. So , 1/4 & 1/16 are also perfect squares. But 2 , 8 & 10 are not perfect squares. So root of 1/2 , 1/8 & 1/10 are irrational numbers.

Verification :-

1)[tex] \sqrt{ \frac{1}{10} } = \frac{ \sqrt{1} }{ \sqrt{10} } = \frac{1}{ \sqrt{2} \times \sqrt{5} } [/tex]

Hence , it is irrational.

2)[tex] \sqrt{ \frac{1}{8} } = \frac{ \sqrt{1} }{ \sqrt{8} } = \frac{1}{2 \sqrt{2} } [/tex]

So , it is irrational.

3)[tex] \sqrt{ \frac{1}{16} } = \frac{ \sqrt{1} }{ \sqrt{16} } = \frac{1}{4} [/tex]

So , it is rational.

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

So it is rational.

5) [tex] \sqrt{ \frac{1}{2} } = \frac{ \sqrt{1} }{ \sqrt{2} } = \frac{1}{ \sqrt{2} } [/tex]

Hence it is irrational.

Square root of 1/10and 1/8 and 1/2 are the only irrational numbers

need a quick answer please

Answers

Answer:

39

Step-by-step explanation:

6x-15+3x+6=90

Simplify: 9x-9=90

9x=99

x=11

3(11)+6

33+6

<H= 39

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