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3 years ago

If y is a positive integer, for how many different values of y is, ∛144/y a whole number?

Mathematics

2 answers:

raketka [301]3 years ago

8 0

for 2 different values of "y" ( and ) is a whole number.

Troyanec [42]3 years ago

3 0

Answer:

Image result for If y is a positive integer, for how many different values of y is, ∛144/a whole number brainly

2 different values

Therefore, "y" must be a factor of 144. Therefore, for 2 different values of "y" ( and ) is a whole number

example

We need the remember that:

Therefore, the radicand (In this case ) must be a perfect cube in order to get a whole number.

Remember that a perfect cube are the numbers that have exact cube roots. Therefore, "y" must be a factor of 144.

Now, we need to descompose 144 into its prime factors:

Then, the factors of 144 are:

Substitute values into to check:

You might be interested in

Find the distance between<br> (-12,1) and (12,-1)

djverab [1.8K]

ANSWER: Exact Form: 2 $\sqrt{145}$

Decimal Form: 24.08318915

STEP-BY-STEP EXPLANATION:

(-12,1) (12,-1)

Use the distance formula to determine the distance between the two points.

Distance = $\sqrt{(X2-X1)^{2 }+ (Y2-Y1)^{2} }$

Substitute the actual values of the points into the distance formula.

$\sqrt{(12-(-12))^{2 }+ ((-1)-1)^{2} }$

Multiply -1 BY -12

$\sqrt{(12+12)^{2 }+ ((-1)-1)^{2} }$

Add 12 and 12

$\sqrt{24^{2} +((-1)-1)^{2} }$

Raise 24 to the power of 2

$\sqrt{576 +((-1)-1)^{2} }$

$\sqrt{576+4}$

$\sqrt{580}$

Rewrite 580 as $2^{2}$ ·145

Factor 4 out of 580

$\sqrt{4(145)}$

Rewrite 4 as $2^{2}$

$\sqrt{2^{2}(145) }$

Pull terms out from under the radical.

2 $\sqrt{145}$

The result can be shown in multiple forms.

Exact Form: 2 $\sqrt{145}$

Decimal Form: 24.08318915

8 0

4 years ago

What is x?<br>(4/5)^x=64/125

ankoles [38]

Answer:

x = 3

Step-by-step explanation:

(4/5)^x = 64/125 means that 4^x / 5^x = 64/125

x can only be 3 because 4^3 = 64 and 5^3 = 125

Please mark Brainliest :)

7 0

3 years ago

Write the product as a mixed number: 2 x 2 1/3

inn [45]

Answer:

14/3 or 4.666666667

Step-by-step explanation:

choose 1

8 0

4 years ago

Please help this is due tomorrow morning

Minchanka [31]

Answer:

I can try to help you..uhh alright 1ll it's definitely multiplying by 4 on the bottom but adding 1 one the top. I'm not sure if i'll be correct but try 1 and 4 i'm so sorry if it doesn't help!

7 0

3 years ago

The distance around a triangle is 22 centimeters. If two sides are equal and the length of the third side is 6 centimeters, what

grin007 [14]

Ok so total distance is 22 cm. And 2 sides r equal and third side is 6cm. So we can currently put this in the equation: 22=x+x+6 (x represents the two sides) they can be the same variable since they are equal too.

Steps for solving the equation: 22=2x+6
16=2x
x=8.
The two equal lengths of the triangle are 8 cm long.

6 0

3 years ago