If $n$ is a positive integer such that $2n$ has 28 positive divisors and $3n$ has 30 positive divisors, then how many positive divisors does $6n$ have

Answers

Answer 1

As per the given equation the total number of positive divisors that $6$ has is 38.

What is the positive divisor?

The divisors (or factors) of a positive integer are the integers that evenly divide it.

The formula for calculating the total number of divisor of a number ′n′ where n can be represent as powers of prime numbers is shown as.

If N= paqbrc

Then total number of divisors = (a+1)(b+1)(c+1).

If we want to find the positive divisors for an integer n, we just take the integers 1, 2, 3, . . . , n, divide n by each, and those that divide evenly make up the set of positive divisors for n.

The divisors (or factors) of a positive integer are the integers that evenly divide it

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Related Questions

What is the value of -36 - (-40)
0-76
076
O 4
0-4

Answers

Answer:

4

Step-by-step explanation:

–36 – ( –40 )

Whenever there is sign of subtraction before the brackets, signs of the numbers inside the brackets get changed when we removed the brackets.

( – ) × ( – ) = ( + )

36 + 40

4

[tex] \therefore [/tex] 4 is the required answer.

Cameron's scout leader organized a contest to see who could build the strongest boat out of aluminum foil. After building their boats, the scouts measured how many pennies the boats could support before sinking. This box plot shows the results.

Answers

Answer:

1/4

Step-by-step explanation:

In a box plot, each whisker represents  

1

4

of the data. So,  

1

4

of the boats could support 12 or more pennies.

The pennies can be added to the boat before it sinks is 10.

What is volume?

Volume is a degree of occupied three-dimensional area. its miles are regularly quantified numerically with the use of SI-derived devices or with the aid of various imperial devices. The definition of the period is interrelated with the extent.

here, we have,

Density is the substance's mass according to a unit of volume. The image most customarily used for density is ρ, even though the Latin letter D also can be used. Mathematically, density is described as mass divided with the aid of the extent

Mass of  aluminum boat = 16.5 gram

Volume = 425 cm³

Density = mass/ volume

           = 16.5/425

           = 0.039 gcm⁻³  

The density of water and boat must be equal or more in order of sinks.

The density of water = 1 gcm⁻³

1  gcm⁻³ = mass × 0.039

mass = 1/ 0.039

mass = 25.64 g

A total of 25.64 grams of mass can be added.

mass of each penny = 2.5 g

Therefore the total number of pennies that can be added is = 25.64 /2.5

                                                                                                      = 10.256

Taking the whole number = 10 pennies can be added o the boat before it sinks

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pleaseeeeee helpppppp i dont understand

Answers

Answer: C. 12

Step-by-step explanation: Hope this help :D

sandy had 10 dolls in her collection.for her birthday her parents quadrupled (multiplied by 4) how many dolls she had.then she decided to share the dolls equally with her brother.



Which numerical expressions show the total number of dolls Sandy has after sharing with her brother?

Answers

Answer:

4multiply by 10 lolllllllll

Answer:

20 each

Step-by-step explanation:

10 x 4 = 40 40 - 20 = 20

Use the properties of logarithms to expand log (3^2xy) as much as possible.

Answers

Answer:

I have no idea

Step-by-step explanation:

Help please radicals

Answers

Answer:

5√2

Step-by-step explanation:

Hello!

To simplify the radical, we can identify perfect square factors in the radicand or the number inside the square root.

We know that 50 is 25 times 2, so we can expand the radical like this...

[tex]\sqrt{50[/tex][tex]\sqrt{25*2}[/tex][tex]\sqrt{25} * \sqrt2[/tex]

Now we can simplify each radical:

[tex]\sqrt{25} * \sqrt2[/tex][tex]5\sqrt2[/tex]

The simplified form is 5√2.

Please help
What is the tangent

Answers

Answer:

D.) 12/5

Step-by-step explanation:

tangent is opposite over the adjacent side so the opposite of x is 24 and the adjacent is 10 so 24/10 divided by 2 gets you 12/5

Hey clarification question is that a 10? Talking about where the x is located the screen shot got cut out a little bit. However, assuming that’s a 10, you would find the opposite side of x which is the one to your closet left where the 24 is. So you know opposite side is 24 now find adjacent side which just means the side where x is located at which is 12. Since your finding tangent the formula for that is opposite/adjacent. Therefore you will have 24/10simply that to me 12/5 by dividing each side by 2. Hope this helps! Remember though only if that is a 10 on the cut out part the answer is 12/5, however if it’s a different number you can clarify or just use the example I gave up above.


5/2
Irrational
Rational


Answers

Answer:

Rational

Step-by-step explanation:

PLEASE HELP!!! DUE SOON!! NO LINKS ARE RANDOM WORDS!! Each day there are eight million withdrawals from 32,000 ATM machines. What is the average number of withdrawals per machine?

Answers

Answer:

250

Step-by-step explanation:

Answer:

250 withdraws per machine

Step-by-step explanation:

8,000,000/32,000

The word "per" indicates division/multiplication.

A circle is the set of all points that are the same distance from one given point. Find an example that contradicts this definition. How would you change the definition to make it more accurate?

Answers

An example that contradicts this definition would be an ellipse that set all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.

What is the equation of a circle?

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

A circle is defined as the set of all points that are the same distance from one given point, called the center of the circle. An example that contradicts this definition would be an ellipse, which is defined as the set of all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.

An ellipse is not a circle since all points of an ellipse are not equidistant to the center point

To make the definition more accurate, it could be modified to say "A circle is defined as the set of all points that are a fixed distance from one given point, called the center of the circle." or "A circle is defined as the set of all points such that the distance between the point and the center is constant"

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Please look at image!

Answers

Answer:

8) 1/3, 0.33, 33 1/3%

9) 2/3, 0.67, 66 2/3%

Step-by-step explanation:

The area of a rectangular rug is (3x +9) square units. Factor (3x +39) to find possible dimensions of the rug.

Answers

is x+13 the answer to your problem?

How do you solve a 5 =- 5a 5?

Answers

The value of a is zero.

Now, According to the question:

The given equation is:

a + 5 = -5a + 5

To solve the above equation:

Subtract 5 on both sides

a + 5 - 5 = -5a + 5 - 5

a = -5a

Add 5a on both sides:

6a = 0

Divide both sides by 6

a = 0

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The complete question is this:

How do you solve a + 5 = -5a + 5

Please help me with this question please!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

65 minutes

What are the potential solutions of In(x^2-25)=0?

Answers

Answer:

[tex] x =\pm \sqrt{26}[/tex]

Step-by-step explanation:

Given :-

ln ( x² - 25 ) = 0

And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,

Equation :-

[tex]\implies log_e {(x^2-25)}= 0 [/tex]

In general :-

If we have a logarithmic equation as ,

[tex]\implies log_a b = c [/tex]

Then this can be written as ,

[tex]\implies a^c = b [/tex]

In a similar way we can write the given equation as ,

[tex]\implies e^0 = x^2 - 25 [/tex]

Now also we know that [tex]a^0 = 1[/tex] Therefore , the equation becomes ,

[tex]\implies 1 = x^2 - 25 \\\\\implies x^2 = 25 + 1 \\\\\implies x^2 = 26 \\\\\implies x =\sqrt{26} \\\\\implies x = \pm \sqrt{ 26}[/tex]

Hence the Solution of the given equation is ±26.

(ANYONE? PLS, HELP I NEED THE ANSWER RIGHT NOW!)

A rental store at the beach has 56 umbrellas and 24 surfboards. Which ratio describes the relationship of surfboards to umbrellas?

A: 56:24
B: 7:3
C: 3:8
D: 3:7

Answers

b because you are dividing

Answer: D (3:7)

Step-by-step explanation:

You need to simplify the 56:24 until fully simplified (using the highest common factor). Flip this so it is instead surfboards to umbrellas rather than umbrellas to surfboards.

56/8 = 7
24/8 = 3

A right cylinder has a radius of 12 units and a height of 15 units. What is the total surface area, in units squared?

Answers

Answer:

2034.72 units²

Step-by-step explanation:

Formula for surface area of a cylinder is:

2πrh + 2πr²

The radius is 12 and the height is 15, so we plug it in:

2π(12·15) + 2π(12)²

2π(12·15) + 2π(12)²=2034.72.

Mr. Hasson has a coupon that says 25% off. He buys a pair of biking shorts that originally costs $34. He calculates 25% of 34 and determines he needs to pay $8.50 for the shorts

Explain
What is the error?
Why do you think he made that error?
What is the correct way to find the sale price?

Answers

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3gVQKw3

g(x)=\sqrt{x} -5

what is the range and domain

Answers

Answer:

Function Domain and Range

g(x)=\sqrt{x} -5

what is the range and domain

To find the range of g(x), we can substitute a few values of x into the expression for g(x) to see what the output is. For example, when x = 0, g(x) = sqrt(0) - 5 = 0 - 5 = -5. When x = 1, g(x) = sqrt(1) - 5 = 1 - 5 = -4. When x = 2, g(x) = sqrt(2) - 5 = 1.4142 - 5 = -3.5858.

As we can see, the output of g(x) is always a negative number for any value of x in the domain. Therefore, the range of g(x) is the set of all negative real numbers, or (-infinity, 0).

So, the domain of g(x) is all real numbers x such that x >= 0, and the range of g(x) is all negative real numbers (-infinity, 0).

Find the missing term in the arithmetic sequence −14, _, _, 46

Answers

In an arithmetic sequence, the difference between consecutive terms is constant. In this case, the difference between −14 and 46 is 60, so we can say that the common difference is 60.

To find the missing terms, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference.

Plugging in the values from the given sequence, we have:

a_2 = -14 + (2 - 1) * 60 = -14 + 60 = 46

a_3 = -14 + (3 - 1) * 60 = -14 + 120 = 106

So, the missing terms are 46 and 106.

Maddie received a new iPhone for Christmas. There is no activation fee to use Apple Music but there is a $4.99 per month charge. How many months would Maddie have been a member it she spent $34.93%

Answers

Maddie would have been a member for 7 months if she spent $34.93. This is because $4.99 multiplied by 7 is equal to $34.93.

Hope this helps!

Answer:

7 months

Step-by-step explanation:

Spotify is better
Have a great day

HELPPPPPP PLEASEeeeeeeeeeeeeee

Answers

Answer: it is the 4 one which is 3(5-n)=2n+16

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 HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

i am not 100% sure but i think it would be C

Lemon quah ha 2 part of concentrate to 5 part of water, if you put 90ml of concentrate in a gla, how much water hould be added?

Answers

Based on the 2:5 quantity of concentrate and water, the amount of water required for 90 mililitres will be 225 mililitres of water.

Firstly we will be creating the ratio for the mentioned information. It will be as follows-

Amount of concentrate/Amount of water

The proportion will be -

2/5 = 90/Concentration of water

Concentration of water = 90×5/2

Now perform multiplication in numerator on Right Hand Side of the equation

Concentration of water = 450/2

Then work out the division on Right Hand Side of the equation

Concentration of water = 225 mililitres

Thus, the required amount of water is 225 mililitres.

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mother spent 1/3 of her money on a silver chain and 1/6 of the remainder on a bottle of perfume. She gave her daughter $60.00 and had $155 left.
what fraction of money did mother spend on the bottle of perfume?
how much money did mother spend on the silver chain?

Answers

Step-by-step explanation:

215÷3=71

143÷6=23.9

71+23.9+60=154.9

I need help with this. Khan academy

Answers

Answer:

[tex]11\pi[/tex]

Step-by-step explanation:

[tex]s = r \times theta[/tex]

where r is the radius.

The radius is 11 and theta(in radians) is pi so

[tex]s = 11\pi[/tex]

Determine and state an equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12)

Answers

The equation of the line perpendicular to the line 5x-4y=10 and passing through the point (5,12) is y = 4x/5 + 8.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

The line 5x-4y=10.

Simplifying,

y = (-5/4)x + 5/2

Comparing with the slope-intercept form,

y = mx + b,

where m is the slope and b is y-intercept.

The slope is = -5/4

The slope of the perpendicular line,

= negative reciprocal of the slope of the line where the line is perpendicular.

= 4/5

So, the line:

If a line passes through one point (x₁ ,y₁) and have slope m,

then the equation of line is

y - y₁ = m (x - x₁)

y - 12 = (4/5)(x-5)

y = 4x/5 + 8

Therefore, the equation of the line is y = 4x/5 + 8

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Math please help!!!!!!

Answers

Answer:

12?

Step-by-step explanation:

I NEED HELP PLEASE !!!!!

answer needs to be in simplest radical form

Answers

Answer:

Use the image as an example

Step-by-step explanation:

Use this image as an example to solve it may help.

Hopefully this helps:)

Which of the following are the factors of the equation x 2 3x − 4 0?

Answers

(A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.

What are the factors?

A factor is a number that completely divides another number.

To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

So, we have the equation:

x²+ 3x - 4 = 0

By dividing the center term, this quadratic equation can be reduced to its simplest form.

The result of dividing the middle word is:

x² + 4x - x - 4 = 0

One way to spell it is as:

x (x + 4) - 1 (x + 4) = 0

Now, we obtain:

(x + 4) (x - 1) = 0

Therefore, (A) (x+4)(x-1)=0 is the proper factors form of the given equation x²+3x-4=0.

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Correct question:

Which of the following is the correct factored form of the given equation x2+ 3x - 4 = 0?

(A) (x +4) (x - 1) = 0

(B) (x - 4) (x - 1) = 0

(C) (x - 4) (x +1)= 0

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