Answer:
0.375
Step-by-step explanation:
Answer:
-63
Step-by-step explanation:
This arithmetic progression
The formula is a+(n-1)d
a means the first value
n is the nth term
d is the difference
So a is -5
n is 30
d is -2
So let's substitute
-5+(30-1)-2
-5+(29)-2
-5-58
-63
Therefore the final answer is-63
Just follow the step and the general formula, you will get your final answer
Answer:
2π feet
Step-by-step explanation:
9:30 PM to 1:30 AM is 4 hours.
It is 1/3 of a complete revolution.
A full 12 hours would be 2×r×π=2×3×π
1/3 of that is:
1/3×2×3×π=2π
≈6.283185307 feet
Answer:
H:150
Step-by-step explanation:
you divide 250 by 15 to get the amount of rotations per month, then once you get that answer which is 16.6666667, you then multiply that number by 9 and there is your answer
Answer:

this is the equation of the tangent at point (-1,1/e)
Step-by-step explanation:
to find the tangent line we need to find the derivative of the function g(x).

- we know that



this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'
to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

using the equation of line:

we'll find the equation of the tangent line.
here (x1,y1) =(-1,1/e), and m = 3/e


this is the equation of the tangent at point (-1,1/e)