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2 years ago

Simplify and leave in radical form. 8√x^2 y^6

Mathematics

2 answers:

Viktor [21]2 years ago

4 0

Correct answer: 8xy^6 <span />

scoundrel [369]2 years ago

3 0

8sqrt(x^2y^6)
8sqrt(x•x•y•y•y•y•y•y)

Since there are 2 xs, we can pull them out of the radical.
8xsqrt(y•y•y•y•y•y)

Since there are 6 ys, we can pull them all out and there are 3 left now.
8xy^3

There is nothing left inside the radical so we can get rid of it!

Best wishes:)

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What is the ratio of 420m to 1 km

suter [353]

Answer:

21/50 or 21:50

Step-by-step explanation:

1km = 1000m

That means one meter is equal to 1/1000 of a km.

420 meters is 420/1000 of a km which is equal to 42/100 = 21/50 or 21:50

Is it right?

Also can I have Brainiest

7 0

3 years ago

Read 2 more answers

Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$

and by replacing in the integral we have

$V=\pi \int \limit_{x1}^{x2}[(lnx+5)^2-(\frac{1}{2}x+3)^2]dx\\$

$V=\pi [28x+\frac{1}{x}+xln^2x-12xlnx-6lnx]$

and by evaluating in the limits we have

$V=61.66$

Hope this helps

regards

3 0

2 years ago

6x+12 factorizar mediante a factor comun<br>

Art [367]

6(x+2)
you just factor 6 from the expression
hope this helps

6 0

2 years ago

Calculate the length b to two decimal places.

Andrej [43]

Answer:

B. 21.64

Step-by-step explanation:

We have been given a triangle and we are asked to find the length of AC (b).

We will use law of cosines to find the length of side AC.

$c^{2}=a^{2}+b^{2}-2ab \text{ cos }\theta$

Upon substituting our given values in the formula we will get,

$(AC)^{2}=15^{2}+12^{2}-2\times 15\times 12 \text{ cos}(106)$

$(AC)^{2}=225+144-360\text{ cos}(106)$

$(AC)^{2}=369-360(-0.275637355817)$

$(AC)^{2}=369+99.22944809412$

$(AC)^{2}=468.22944809412$

Upon taking square root of both sides of our equation we will be get,

$AC=\sqrt{468.22944809412}$

$AC=21.6386101238993629\approx 21.64$

Therefore, the length of b is 21.64 and option B is the correct choice.

6 0

2 years ago

What is the midpoint of the line segment with endpoints

sertanlavr [38]

Answer:

Midpoint

Step-by-step explanation:

The midpoint is the point on the segment halfway between the endpoints. It may be the case that the midpoint of a segment can be found simply by counting. If the segment is horizontal or vertical, you can find the midpoint by dividing the length of the segment by 2 and counting that value from either of the endpoints.

3 0

2 years ago