Answer:
(1) TRUE.
(2) FALSE.
(3) FALSE.
(4) TRUE.
(5) FALSE.
Step-by-step explanation:
(1) 

Thus, the equation is TRUE.
(2) 

Thus, the equation is FALSE.
(3) ![4^{\frac{1}{2} } = \sqrt[4]{64}](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%20%5Csqrt%5B4%5D%7B64%7D)
![4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%3D%20%5Csqrt%7B4%7D%20%3D%202%5C%5C%5C%5C%5Csqrt%5B4%5D%7B64%7D%20%20%3D%20%2864%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%20%3D%20%282%5E6%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%3D%202%5E%7B%5Cfrac%7B6%7D%7B4%7D%20%7D%20%3D%202%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%3D%28%5Csqrt%7B2%7D%20%29%5E3%20%3D%20%28%5Csqrt%7B2%7D%20%20%5Ctimes%20%5Csqrt%7B2%7D%20%20%5Ctimes%20%5Csqrt%7B2%7D%20%29%20%3D%202%5Csqrt%7B2%7D)
Thus, the equation is FALSE.
(4) ![2^8 = (\sqrt[3]{16} )^6](https://tex.z-dn.net/?f=2%5E8%20%3D%20%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E6)
![2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256](https://tex.z-dn.net/?f=2%5E8%20%3D%20256%5C%5C%5C%5C%20%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E6%20%3D%20%2816%29%5E%7B%5Cfrac%7B6%7D%7B3%7D%20%7D%20%3D%20%282%5E4%29%5E%7B%5Cfrac%7B6%7D%7B3%7D%20%7D%20%3D%20%282%29%5E%7B%5Cfrac%7B24%7D%7B3%7D%20%7D%20%3D%202%5E8%20%3D%20256)
Thus, the equation is TRUE.
(5) 

Thus, the equation is FALSE.
B) p=9t
he gets paid $9/hr, and his pay depends how many hours he works.
Answer:
Step-by-step explanation:
A=2i+3j+4k
B=i-2j+3k
Sum of the vectors:
A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k
Direction of the sum of the vectors:

Answer:
y = 2x + 4
Step-by-step explanation:
First, we need to find out the original equation. On this graph, we can see that the original y-intercept is -1. We can also figure out the slope by counting how many units up on the graph the higher point is from the lower point, in this case, 4, and how many units right it is, in this case, 2, so our slope is 4/2, which can be simplified to 2/1, or a slope of 2. Using the slope and y-intercept, we can create the equation for the original line. The equation will be y = 2x - 1. To get our final answer, we simply need to substitute 4 in the place of -1, and we get our final equation, y = 2x + 4.