Answer:
48
Step-by-step explanation:
On either side of a line, there is an angle of 180. This means that when two lines intersect, the angles on either side will equal 180.
To solve this problem, add the two angles and set it equal to zero.
(x + 34) + (2x + 2) = 180
x + 34 + 2x + 2 = 180
3x + 36 = 180
3x = 144
x = 48
The value of x is 48.
Answer:
(a) and (b) are not equivalent
(c) is equivalent
Step-by-step explanation:
Given
![\frac{25^m}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B25%5Em%7D%7B5%7D)
Required
Determine an equivalent or nonequivalent expression
![(a)\ 25^{m-1](https://tex.z-dn.net/?f=%28a%29%5C%2025%5E%7Bm-1)
We have:
![25^{m-1](https://tex.z-dn.net/?f=25%5E%7Bm-1)
Apply law of indices
![25^{m-1} = \frac{25^m}{25}](https://tex.z-dn.net/?f=25%5E%7Bm-1%7D%20%3D%20%5Cfrac%7B25%5Em%7D%7B25%7D)
<em>This is not equivalent to </em>
<em></em>
![(b)\ 25^{2m - 1}](https://tex.z-dn.net/?f=%28b%29%5C%2025%5E%7B2m%20-%201%7D)
We have:
![25^{2m - 1}](https://tex.z-dn.net/?f=25%5E%7B2m%20-%201%7D)
Apply law of indices
![25^{2m - 1} = \frac{25^{2m}}{25}](https://tex.z-dn.net/?f=25%5E%7B2m%20-%201%7D%20%3D%20%5Cfrac%7B25%5E%7B2m%7D%7D%7B25%7D)
<em>This is not equivalent to </em>
<em></em>
<em></em>
<em />
<em />
We have:
<em />
<em />
Apply law of indices
<em />
<em />
<em />
<em />
<em>Evaluate the numerator</em>
<em />
<em />
<em />
<em>This is an equivalent expression</em>
Answer:
The radius of the sphere is ![6\ cm](https://tex.z-dn.net/?f=6%5C%20cm)
Step-by-step explanation:
we know that
The volume of a sphere is equal to
![V=\frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
In this problem we have
![V=288\pi\ cm^{3}](https://tex.z-dn.net/?f=V%3D288%5Cpi%5C%20cm%5E%7B3%7D)
substitute and solve for r
![288\pi=\frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=288%5Cpi%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
simplify
![288*3/4=r^{3}](https://tex.z-dn.net/?f=288%2A3%2F4%3Dr%5E%7B3%7D)
![r^{3}=216](https://tex.z-dn.net/?f=r%5E%7B3%7D%3D216)
![r=6\ cm](https://tex.z-dn.net/?f=r%3D6%5C%20cm)
6,050 before 6010 then 5080 after 5060 or basically any numbers that are greater than the one to the left of it :))
The linear function should be y=2 i apologize if i am wrong