I’m not sure about the rest but the slope is 4 and the y intercept is 3.
So as we already know the ratio is 3 quarts blue paint to 2 quarts red paint, also written as 3:2. if she only has 1 quart blue paint she will need half of a quart of red paint because the ratio has to remain the same amount. if you multiply one side then you must multiply the other. same goes with division. If she only has 1 quart of red paint then that shows she divided the 2 red by 2. There fore you would have to divided the 3 by 2 in order to get 1.5 which would then make the ratio 1.5:1
Answer:
![Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})](https://tex.z-dn.net/?f=Y-%5Cfrac%7B%5Cpi%7D%7B2%7D%20%3D%5Cfrac%7B%5Cpi%7D%7B2%7D%20%28x%2B%5Csqrt%7B%5Cfrac%7B1%7D%7B7%7D%7D%29)
Step-by-step explanation:
The equation of the curve is
![Y = sin^{-1}(7x)](https://tex.z-dn.net/?f=Y%20%3D%20sin%5E%7B-1%7D%287x%29)
To find the equation of tangent we need to differentiate this equation w.r.t x
So, differentiating we get
![Y'=\frac{7}{\sqrt{1-49x^2} }](https://tex.z-dn.net/?f=Y%27%3D%5Cfrac%7B7%7D%7B%5Csqrt%7B1-49x%5E2%7D%20%7D)
This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is ![x = \sqrt{\frac{1}{7} }](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%7B%5Cfrac%7B1%7D%7B7%7D%20%7D)
Then slope would accordingly be
![Y'=\frac{7}{\sqrt{1-49/49} }](https://tex.z-dn.net/?f=Y%27%3D%5Cfrac%7B7%7D%7B%5Csqrt%7B1-49%2F49%7D%20%7D)
= ∞
For,
, ![Y = sin^{-1}(7/7)= \pi/2](https://tex.z-dn.net/?f=Y%20%3D%20sin%5E%7B-1%7D%287%2F7%29%3D%20%5Cpi%2F2)
Equation of tangent line, in the point slope form, would be ![Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})](https://tex.z-dn.net/?f=Y-%5Cfrac%7B%5Cpi%7D%7B2%7D%20%3D%5Cfrac%7B%5Cpi%7D%7B2%7D%20%28x%2B%5Csqrt%7B%5Cfrac%7B1%7D%7B7%7D%7D%29)
Answer:The Collatz conjecture is a conjecture in mathematics that concerns a sequence defined as follows: start with any positive integer n. Then each term is obtained from the previous term as follows: if the previous term is even, the next term is one half the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1.
Step-by-step explanation :an opinion or conclusion formed on the basis of incomplete information.