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3 years ago

The lcm of 22 132 and 253 using prime factorization?

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

Answer:

3036

multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,

multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,

multiples of 253 are 253, 506, 759, 1012, and so on,

Its quite a time consuming process.

when all the numbers eventually meet together that is the answer.

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What is a lurking variable?

Naya [18.7K]

Answer:

Option D

Step-by-step explanation:

When we study about relationship between two or more variables we sometimes ignore factors which affect the relationship other than these two variables. These are also called extraneous variables or lurking variables. These affect the relationship very much.

Thus we find that out of 4 options given, Option I is incorrect because lurking variables need not be equal to almost 0.

Option B is incorrect because these need not have an infinite possible values.

Option C is a lurking variable need not be a response variable alone normally this would be an explanatory variable

Option D is right

A lurking variable is an explanatory variable that was not considered in a study, but that affects the value of the response variable in the study. In addition, lurking variables are typically related to explanatory variables in the study.

5 0

3 years ago

Write the expressions as an equivalent power with a negative exponent. 1/49 and 27/125

hoa [83]

$n^{-x}=\frac1{n^x}$

$\textcircled1\ \frac1{49}=\frac1{7^2}=\boxed{7^{-2}}$

$\textcircled2\ \frac{27}{125}=\frac{3^3}{5^3}=(\frac35)^3=\frac1{(\frac{5}{3})^3}=\boxed{\left(\frac53\right)^{-3}}$

7 0

3 years ago

Larissa is baking two pies that are the same size: an apple pie for her brothers and a pumpkin

expeople1 [14]

Answer:

All the statements are correct.

Step-by-step explanation:

Larissa is baking two pies that are the same size:

an apple pie for her brothers and a pumpkin pie for her sisters.

Larissa cuts the apple pie into eights and serves the five slices for her brothers.

This means she divided the apple pie into 1/8, so 5 for a brothers = 5(1/8) = 5/8

The amount of apple pie left is = 1 - 5/8

= 3/8

Then, she cuts the pumpkin pie into sixths and serves three pieces to her sisters.

She divided the pumpkin pie into 1/6

Serving her 3 sisters = 3(1/6)

= 3/6

The amount left = 1 - 3/6 = 3/6 = 1/2

This means, her sisters are 1/2 of the pie and 1/2 is left

Her brothers and sisters eat all of the pie they are served, and nothing more.

Verifying the given options

a) There will be enough space to fit the leftover slices of pie together in one of the pie pans

Yes, this is correct it we put the left over slices of pie in the pumpkin pie pan.

Option a is correct.

b) There will be more empty space in the pumpkin pie pan than in the apple pie pan after the slices are served.

Option b) is true

This is because, the amount of space left in the pumpkin pie pan = 1/2

The amount of space left in the apple pie pan = 3/8

1/2 is greater than > 3/8

c) After Larissa served the apple pie, there is exactly 0.375 of the apple pie remaining.

Larissa served, 5/8 of the apple pie,

3/8 is left , 3/8 = 0.375.

Option c is correct.

d) After putting the pies together in one pan, 1/8 of the pie pan would still be empty

Yes, if the left over pies are put in the pumpkin pie pan.

This is because, the amount of space left in the pumpkin pie pan = 1/2

The amount of space left in the apple pie pan = 3/8

1/2 + 3/8

= 4+3/8 = 7/8

1 - 7/8 = 1/8

Option d is correct

Therefore, all the 4 statements are correct.

5 0

3 years ago

if the parent function is square root of x, describe the translation of this function square root x+7

kotykmax [81]

The function $y=\sqrt{x}$ sits with its starting point at the origin. The function $y=\sqrt{(x-h)}+k$ is translated h units to the left or right and k units up or down. Since our radicand, the value under the square root sign, is x+7, putting that into our standard form it would be x-(-7) because minus a negative is a positive. So we move the parent graph to the left (-7 moves to the left) 7 units. There is no number k so our function is not moving up or down. Only to the left 7.