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3 years ago

Simplify (x^2y)^3 Is the answer to this question A.x^2y^3 B. x^5y^3 C. x6y3

Mathematics

1 answer:

Ganezh [65]3 years ago

3 0

Answer:

x^6y^3

Step-by-step explanation:

To raise a product to a power, raise each factor to that power

(x^2)^3 × y^3

simplify the expression by multiplying exponents

x^6y^3

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The two rectangular prisms are similar.

Sophie [7]

Answer:

The volume of the larger rectangular prism is $648\ cm^{3}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x-----> the volume of the larger rectangular prism

y-----> the volume of the smaller rectangular prism

$z^{3}=\frac{x}{y}$

In this problem we have

$z=\frac{12}{4}=3$ ---> the scale factor is equal to the ratio of its corresponding sides

$y=24\ cm^{3}$

substitute and solve for x

$3^{3}=\frac{x}{24}$

$x=27*24=648\ cm^{3}$

6 0

3 years ago

In a random sample, 10 students were asked to compute the distance they travel one way to school to the nearest tenth of a mile.

elixir [45]

Answer:

Mean = 3.12, Variance = 3.324, Standard deviation = 1.8232

Step-by-step explanation:

Total number of students = 10 students.

Given data, 1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

To find the mean, at first we have to take the sum of all given data and then divide with the number of students.

Let the data is X, = 1.1, + 5.2, + 3.6, + 5.0, + 4.8, + 1.8, + 2.2, + 5.2, + 1.5, + 0.8 = 31.2

Mean = 31.2 / 10 = 3.12

$\text{Standard deviation, S} = \sqrt{\frac{\sum x^{2} - \left [ (\sum x)^{2}/n \right ]}{n-1}} \\S = 1.8232 \\\rm The \ Variance = S^{2} = 3.324$

5 0

3 years ago

Using only an addition, how do you add eight 8’s and get the number 1000?

Kobotan [32]

888 + 88 + 8 + 8 + 8 = 1000

have a nice day!

8 0

2 years ago

Read 2 more answers

Which of the following phrases can be used to represent -11?

Reptile [31]

Answer:

eleven below zero

Step-by-step explanation:

opposite of -11 =11 so that doesn't work

positive eleven=11 so that doesn't work

eleven greater than zero=11 so that doesn't work

eleven below zer0= -11 so it works

3 0

4 years ago

Read 2 more answers

I GIVE BRAINLILEST //////////////////////////////////////

elena-s [515]

Answer:

answer is c makes sense because you just add 1.25 x 20

3 0

3 years ago