Ask question

Ask question

All categories

2 years ago

11

Simplify. Multiply and remove all perfect squares from inside the square roots. Assume z is positive. z* 30z2* 35z3

1 answer:

ASHA 777 [7]2 years ago

3 0

Answer:

$5z^3\sqrt{42}$

Step-by-step explanation:

You can multiply and put everything under one square root to get $\sqrt{1050z^6}$ . You can take out $(5z^3)^2$ from the square root to get $\boxed{5z^3\sqrt{42}}$

You might be interested in

I need help with this problem

cupoosta [38]

$\bf \begin{cases}
(n^4)^p=n^{12}\to &n^{4\cdot p}=n^{12}\to 4p=12
\\
&\qquad \uparrow \\
&\textit{same bases, thus}\\
&\qquad \downarrow 
\\
n^3\cdot n^q=n^6\to &n^{3+q}=n^6\to 3+q=6
\end{cases}
\\\\\\
thus\implies 
\begin{cases}
4p=12\implies p=\frac{12}{4}
\\\\
3+q=6\implies q=6-3
\end{cases}
\\\\

\\\\
then\implies p\cdot q=\boxed{?}$

7 0

3 years ago

Anestetic [448]

Answer:

answer in explanation

Step-by-step explanation:

1) y=4x-7

2) y=-2x

3) -4

4) -5

6 0

3 years ago

Solve for x: −2x + 5 < 7 <br> Please Help Meh!! DO you LIKE to see people STRUGGLE?!?!

Arlecino [84]

x > -1

-2x+5 < 7

-2x<2

Now since you divide by (-1) to get positive 2,you need to flip the sign

(-2)/(-1)= 2 2/(-1)=-2

SO

2x>-2

x > -1

To check the solution do not replace the x by -1 because it shouls be more than -1 (You can choose 0,1,2,3....)

Example choose x=3

-2x3+5<7

-6+5<7

-1<7

8 0

3 years ago

I thought of a number, added 26 to it, and then divided the result by 20. What is my number?

inessss [21]

Answer:

12?

Step-by-step explanation:

4 0

3 years ago

An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle

Natalka [10]

Answer:

Radius of the circle is <em>15 inches.</em>

<em></em>

Step-by-step explanation:

Relation between length of arc, radius and the angle subtended by the arc on center is:

$\theta = \dfrac{l}{r} ..... (1)$

where $\theta$ is the central angle in radians subtended by arc

$l$ is the length of arc

$r$ is the radius of arc

We are Given the following details:

$l = \dfrac{5\pi}{4}\ inch$

$\theta = 15^\circ$

We know that $\pi \ radians = 180 ^\circ$

Converting $\theta$ to radians:

$\theta =\dfrac{\pi}{180} \times 15$ radians

Putting the values of $\theta$ and $l$ to find the value of $r$

$\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches$

Hence, Radius of the circle is <em>15 inches.</em>

6 0

2 years ago