Answer:
22.27
Step-by-step explanation:
tan(35) = opp/adj
tan(35) = x/47
47tan(35) = x
x = 22.27
not sure of the units
We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.
g(x) = −2x, −2 < x < 0
Answer:
NO. Because g(x) = −2x has negtive slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upwawrd so that can't be answer.
g(x) = −2, x < −2
Answer:
YES. Because g(x) = −2 is a horizontal line which is only on the left side oof x=-2. Graph of this part is present in given graph. So yes it is answer.
g(x) = x − 2, −2 < x < 1
Answer:
NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 butt there is no such graph. Hence this can't be answer.
g(x) = −2x + 6, x ≥ 1
Answer:
YES. Because g(x) = −2x+6 satisfies the graph which is going downward.
g(x) = x/2+ 1, –2 ≤ x < 1
Answer:
YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.
Product is multiplication.
The first part would be x(6+8) , x times the sum of 6 plus 8.
The second part would be written as x^2, the square of x
Now combine to get:
x(6+8) * x^2
Answer:
The order is "D, B, A, E, C".
Step-by-step explanation:
The numbers are as follows:
![A=\frac{2^{1/2}}{4^{1/6}}\\\\B = \sqrt[12]{128}\\\\C=(\frac{1}{8^{1/5}})^{2}\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B2%5E%7B1%2F2%7D%7D%7B4%5E%7B1%2F6%7D%7D%5C%5C%5C%5CB%20%3D%20%5Csqrt%5B12%5D%7B128%7D%5C%5C%5C%5CC%3D%28%5Cfrac%7B1%7D%7B8%5E%7B1%2F5%7D%7D%29%5E%7B2%7D%5C%5C%5C%5CD%20%3D%20%5Csqrt%7B%5Cfrac%7B4%5E%7B-1%7D%7D%7B2%5E%7B-1%7D%5Ccdot%208%5E%7B-1%7D%7D%7D%5C%5C%5C%5CE%20%3D%20%5Csqrt%5B3%5D%7B2%5E%7B1%2F2%7D%7D%5Ccdot%204%5E%7B-1%2F4%7D)
Simplify the value of A, B, C, D and E as follows:
![A=\frac{2^{1/2}}{4^{1/6}}=\frac{2^{1/2}}{2^{2/6}}=\frac{2^{1/2}}{2^{1/3}}=2^{1/2-1/3}=2^{1/6}=1.1225\\\\B = \sqrt[12]{128}=(128)^{1/12}=(2^{7})^{1/12}=2^{7/12}=1.4983\\\\C=(\frac{1}{8^{1/5}})^{2}=(\frac{1}{(2^{3})^{1/5}})^{2}=(\frac{1}{2^{3/5}})^{2}=\frac{1}{2^{3/5\times2}}=\frac{1}{2^{6/5}}=2^{-6/5}=0.4353\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}=\sqrt{\frac{2^{-2}}{2^{-1}\cdot 2^{-3}}}=\sqrt{2^{-2+1+3}}=2\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}= (2^{1/2})^{1/3}\cdot 2^{-2/4}=2^{-1/3}=0.7937](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B2%5E%7B1%2F2%7D%7D%7B4%5E%7B1%2F6%7D%7D%3D%5Cfrac%7B2%5E%7B1%2F2%7D%7D%7B2%5E%7B2%2F6%7D%7D%3D%5Cfrac%7B2%5E%7B1%2F2%7D%7D%7B2%5E%7B1%2F3%7D%7D%3D2%5E%7B1%2F2-1%2F3%7D%3D2%5E%7B1%2F6%7D%3D1.1225%5C%5C%5C%5CB%20%3D%20%5Csqrt%5B12%5D%7B128%7D%3D%28128%29%5E%7B1%2F12%7D%3D%282%5E%7B7%7D%29%5E%7B1%2F12%7D%3D2%5E%7B7%2F12%7D%3D1.4983%5C%5C%5C%5CC%3D%28%5Cfrac%7B1%7D%7B8%5E%7B1%2F5%7D%7D%29%5E%7B2%7D%3D%28%5Cfrac%7B1%7D%7B%282%5E%7B3%7D%29%5E%7B1%2F5%7D%7D%29%5E%7B2%7D%3D%28%5Cfrac%7B1%7D%7B2%5E%7B3%2F5%7D%7D%29%5E%7B2%7D%3D%5Cfrac%7B1%7D%7B2%5E%7B3%2F5%5Ctimes2%7D%7D%3D%5Cfrac%7B1%7D%7B2%5E%7B6%2F5%7D%7D%3D2%5E%7B-6%2F5%7D%3D0.4353%5C%5C%5C%5CD%20%3D%20%5Csqrt%7B%5Cfrac%7B4%5E%7B-1%7D%7D%7B2%5E%7B-1%7D%5Ccdot%208%5E%7B-1%7D%7D%7D%3D%5Csqrt%7B%5Cfrac%7B2%5E%7B-2%7D%7D%7B2%5E%7B-1%7D%5Ccdot%202%5E%7B-3%7D%7D%7D%3D%5Csqrt%7B2%5E%7B-2%2B1%2B3%7D%7D%3D2%5C%5C%5C%5CE%20%3D%20%5Csqrt%5B3%5D%7B2%5E%7B1%2F2%7D%7D%5Ccdot%204%5E%7B-1%2F4%7D%3D%20%282%5E%7B1%2F2%7D%29%5E%7B1%2F3%7D%5Ccdot%202%5E%7B-2%2F4%7D%3D2%5E%7B-1%2F3%7D%3D0.7937)
Arrange the following numbers in increasing order as follows:
D > B > A > E > C
Thus, the order is "D, B, A, E, C".
Answer: 60 days
Explanation: 20 divided by 1/3 is 60
