Answer:
x=12
Step-by-step explanation:
The two angles shown are complementary angles, so the add to 90 degrees
x+42 + 3x = 90
Combine like terms
4x+42 = 90
Subtract 42 from each side
4x+42-42 = 90-42
4x = 48
Divide by 4
4x/4 = 48/4
x = 12
<span>Graph the first equation (number of baskets made. You can do this by hand by picking a value for x (number of 2-point baskets) and solving for y. Let’s pick 2 for x.
x = 2, y =
Therefore, the point (2, ) is on the graph.
Let’s pick another value for x to find a second point on the graph. Let x be 4.
x = 4, y =
Therefore, the point (4, ) is on the graph.
Let’s pick one more value for x. Let x be 6.
x = 6, y =
Therefore, the point (6, ) is on the graph. Graph these three points and sketch the line through them.</span>
Answer:
honestly i.dk, if u know, lmk
:)
Step-by-step explanation:
![2^n>10^{50}=10^{3\cdot16+2}=10^2(10^3)^{16}=10^2(2^{10})^{16}=5^22^{162}](https://tex.z-dn.net/?f=2%5En%3E10%5E%7B50%7D%3D10%5E%7B3%5Ccdot16%2B2%7D%3D10%5E2%2810%5E3%29%5E%7B16%7D%3D10%5E2%282%5E%7B10%7D%29%5E%7B16%7D%3D5%5E22%5E%7B162%7D)
![2^{n-162}>25](https://tex.z-dn.net/?f=2%5E%7Bn-162%7D%3E25)
The least power of 2 that exceeds 25 is
![2^5=32](https://tex.z-dn.net/?f=2%5E5%3D32)
, so we have
![2^{n-162}=2^N>25\implies N=5\implies n-162=5\implies n=167](https://tex.z-dn.net/?f=2%5E%7Bn-162%7D%3D2%5EN%3E25%5Cimplies%20N%3D5%5Cimplies%20n-162%3D5%5Cimplies%20n%3D167)
- - -
![10^n>2^{300}=(2^{10})^{30}=(10^3)^{30}=10^{90}](https://tex.z-dn.net/?f=10%5En%3E2%5E%7B300%7D%3D%282%5E%7B10%7D%29%5E%7B30%7D%3D%2810%5E3%29%5E%7B30%7D%3D10%5E%7B90%7D)
The least integer
![n](https://tex.z-dn.net/?f=n)
that satisfies this inequality would clearly be
![n=91](https://tex.z-dn.net/?f=n%3D91)
.