Answer:
![\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Ctheta%3D-%5Cdfrac%7B%5Cpi%7D%7B4%7D%2Bk%5Cpi%5C%20or%5C%20%5Ctheta%3Dk%5Cpi%7D%5C%20for%5C%20k%5Cin%5Cmathbb%7BZ%7D)
Step-by-step explanation:
![\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}](https://tex.z-dn.net/?f=%5Ctan%5E2%5Ctheta%2B%5Ctan%5Ctheta%3D0%5C%5C%5C%5C%5Ctan%5Ctheta%28%5Ctan%5Ctheta%2B1%29%3D0%5Ciff%5Ctan%5Ctheta%3D0%5C%20%5Cvee%5C%20%5Ctan%5Ctheta%2B1%3D0%5C%5C%5C%5C%5Ctan%5Ctheta%3D0%5CRightarrow%20%5Ctheta%3Dk%5Cpi%5C%20%5Ctext%7Bfor%7D%5C%20k%5Cin%5Cmathbb%7BZ%7D%5C%5C%5C%5C%5Ctan%5Ctheta%2B1%3D0%5Cqquad%5Ctext%7Bsubtract%201%20from%20both%20sides%7D%5C%5C%5C%5C%5Ctan%5Ctheta%3D-1%5CRightarrow%5Ctheta%3D-%5Cdfrac%7B%5Cpi%7D%7B4%7D%2Bk%5Cpi%5C%20%5Ctext%7Bfor%7D%5C%20k%5Cin%5Cmathbb%7BZ%7D)
The correct answer for this question is this one: "<span>C. P(C | A) = 0.75, P(C)=0.75 the events are not independent."
</span><span>The statement that can be determined about events A and C from the table is that </span><span>P(C | A) = 0.75, P(C)=0.75 the events are not independent. Hope this helps answer your question.
</span>
Answer:
10
Step-by-step explanation:
4 x 10 = 40
40 + 12 = 52
Answer:
I am not really sure but try this -13/9 or -13 divided by 9
Step-by-step explanation:
Let x = software program
Let y = video game
x < 200 ; y < 300
x + y < 425
50x ; 35y
x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875
x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750
x = 175 ; y = 250
50(175) + 35(250) = 8,750 + 8,750 = 17,500
It is more profitable to maximize production of software program when working within the limits provided.