Answer: 13 . 99 seconds
Step-by-step explanation:
The formula to find how long it will take an object to rotate through 6.9 revolutions at an angular velocity is given as :
t = 2π x number of revolutions / angular velocity
Therefore :
t = 2π x 6.9 / 3.1
t = 2 x 3.142 x 6.9 / 3.1
t = 43.3596/3.1
t = 13. 98696774194
to the nearest tenth
t = 13. 99s
Answer:
1. 1/4
2. -3
3. 3
4. -3/2
5. -2
6. -3/4
Step-by-step explanation:
Answer:
8 inches
Step-by-step explanation:
Let w represent the width.
If the length is 14 inches longer than the width, it can be represented by w + 14.
Use the perimeter formula, p = 2l + 2w. Plug in 60 as the perimeter and w + 14 as l, then solve for w:
p = 2l + 2w
60 = 2(w + 14) + 2w
60 = 2w + 28 + 2w
60 = 4w + 28
32 = 4w
8 = w
So, the width is 8 inches
We have been given a graph of function g(x) which is a transformation of the function 
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply 
by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
