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3 years ago

What is the cube root of 216x^9y^18?

1 answer:

6 0

The answer to the problem is as follows:

The cube root of the polynomial expression 216x^9y^18 would be:

∛(216x⁹y¹⁸) = 6x³y⁶

That is already in the simplest form:

I hope my answer has come to your help. God bless and have a nice day ahead!

You might be interested in

Find the slope given the ordered pairs: (-3,-2) and (-3,-5)

Mademuasel [1]

Step-by-step explanation:

$- 2 - - 5 \\$

$\div - 3 - - 3$

5 0

3 years ago

The 1985 Mexico City earthquake measured a magnitude 8.0 on the Richter scale. The Richter scale uses the function M (I) = log (

Travka [436]

Answer:

The correct option is C: I = 10⁸I₀.

Step-by-step explanation:

The function of the Richter scale is:

$M_{(I)} = log(\frac{I}{I_{0}})$

Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:

$8.0 = log(\frac{I}{I_{0}})$

$10^{8} = \frac{I}{I_{0}}$

$I = 10^{8}I_{0}$

Therefore, the correct option is C: I = 10⁸I₀.

I hope it helps you!

7 0

3 years ago

Eric made a drawing of his rectangular bedroom with the scale 1 inch=3 feet. The drawing was 5 inches long 4 inches wide. What w

kolbaska11 [484]

Answer:

180 square feet

Step-by-step explanation:

We know that the rectangular drawing has:

5 inches long (L)
4 inches wide (W)

And we also know that:

1 inch = 3 feet

We will find how many feet long and wide is the actual room, by multiplying:

Long: 5 inches * 3 feet/inch = 15 feet

Wide: 4 inches * 3 feet/ inch = 12 feet

Now we want to know the area of the rectangle, and the area of the rectangle is:

A = L*W

A = 15 feet * 12 feet

A = 180 square feet

3 0

3 years ago

21, 31, 26, 24, 25, 26 Mean: Median: Mode: Range:

BlackZzzverrR [31]

Order them from smallest to largest:
21, 24, 25, 26, 26, 31

mean: 25.5
add all the numbers up and divide them by 6.

median: 25.5
the number in between 25 & 26.

mode: 26
there are two 26’s in the pattern.

range: 21-31

4 0

3 years ago

Eric wants to get an output of 0. Can he do this with each machine? If so, how? If not, why not?

natita [175]

Answer:

No, he can get an output of 0 with the second machine (function B) but he cannot get an output of 0 with the first machine (function A).

Explanation

The way each machine works is given by the expression (function) inside it.

1) Function A

To get an output of 0 with the function y = x² + 3, you must solve the equation x² + 3 = 0.

Since x² is zero or positive for any real number, x² + 3 will never be less than 3 (the minimum value of x² + 3 is 3). So, it is not possible to get an output of 0 with the first machine.

2) Function B

Solve $y=\sqrt{x}-2=0$

$\sqrt{x}-2=0$

$\sqrt{x} =2$

$x=2^{2}$

$x=4$

So, he can get an output of 0 by using x = 4.

4 0

2 years ago