All categories

3 years ago

Square root of 24x^6y^9

Mathematics

1 answer:

nikklg [1K]3 years ago

8 0

Answer:

Step-by-step explanation:

Break the expression into individual pieces

24 can be written as (4)(6)

x^6 can be written as (x^3)^2

y^9 can be written as (y^4)^2(y)

Notice in the variables the focus on writing to the power of 2.

Square root and power of 2 are essentially inverse operations of each other, so they cancel each other out.

The square root of 4 is 2

The square root of (x^3)^2 is x^3

The square root of (y^4)^2 is y^4

The remaining 6 and y stay underneath the square root.

The final answer is then (2x^3y^4)(square root 6y)

You might be interested in

10. BRO SOMEONE HELP ME IM STUCK ON THIS

V125BC [204]

0.4 inches because of the scale

6 0

2 years ago

This is due today plz help

dybincka [34]

Answer:

how to answer it where is the direction

3 0

2 years ago

Please help (geometry) number 11

dexar [7]

Answer:

In the image below

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Hugo has a brother and sister. Hugo is x years old. •

emmasim [6.3K]

Answ

3xmas8

-------------------------------

listo

5 0

3 years ago

Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries

kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

$\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04$

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}
$

$P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535
$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465$

64.65% probability of at least one injury commuting to work in the next 20 years

3 0

3 years ago

Square root of 24x^6y^9​

Square root of 24x^6y^9