We are given:
parent function y = cot (x) which is vertically compressed to produce y = a cot(x) with no reflections.
The graph of the cotangent function is opposite of tangent function. You can observe that if the function will be vertically compressed it will shift towards zero but not less than zero, so the value of a is best described as d a>1.
Answer:
The equation of plane is

Step-by-step explanation:
We have to find the equation of plane passing through the point (0,-1,1) and orthogonal to the planes

Thus, we can write:

We will evaluate:
![n = n_1\times n_2\\\\n = \left[\begin{array}{ccc}i&j&k\\3&4&-3\\-3&2&4\end{array}\right] \\\\n = i(16 + 6)-j(12-9) +k(6+12)\\n = 22i-3j+18k\\n =](https://tex.z-dn.net/?f=n%20%3D%20n_1%5Ctimes%20n_2%5C%5C%5C%5Cn%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C3%264%26-3%5C%5C-3%262%264%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5Cn%20%3D%20i%2816%20%2B%206%29-j%2812-9%29%20%2Bk%286%2B12%29%5C%5Cn%20%3D%2022i-3j%2B18k%5C%5Cn%20%3D%20%3C22%2C-3%2C18%3E)
The required plane passes through the point (0,-1,1)
Thus, the equation of plane is

is the required equation of the plane.
Answer:
- x/10 = 9
multiply by 10 on both sides
-x = 90
divided by -1 on both sides
x = -90
<span>First, we need to know that the current recommended daily allowance of Vitamin E is 15 milligrams. If Leena ate four tablespoons of peanut butter, thus receiving only 6 milligrams, then we can determine the percentage by first dividing 100 into 15 parts (which gives us 6.66), and then multiply that answer by 6 (6 x 6.66), which gives us precisely 40. Thus, the answer is 40 percent.</span>
You want to find
; that is, given that you randomly choose from the pool of women, the probability that she does not exercise.
By definition of conditional probability,

496 of the total 1026 people are woman, and 341 of the 1026 people are women and do not exercise, so

A simpler way of doing this is to look at what's called the marginal distribution of women in the table. Basically this comes down to ignoring all but the data pertaining to the women. There's a total of 496 women, and 341 of them do not exercise. So the probability that a given woman does not exercise is 341/496.