Answer:
n = 30
Step-by-step explanation:
Let n represent the number. Then (2/3)n = 20.
Solve for n by multiplying both sides by (3/2): n = (3/2)(20) = 30
Let m = measure of each interior angle of a regular polygon
It turns out that
m = [180*(n-2)]/n
where n is the number of sides
We have n = 9 sides, so
m = [180*(n-2)]/n
m = [180*(9-2)]/9
m = [180*7]/9
m = 1260/9
m = 140
Each interior angle is 140 degrees
Answer: D) 140
Answer:
t = 1.068 s
Step-by-step explanation:
given,
a(t) =- k v(t)
speed of the object decreases from 800 ft/s to 700 ft/s
distance = 1400 ft
time for deceleration = ?
a(t) =- k v(t)
integrating both side
..........(1)
since,
from equation 1
putting value of k in equation (1)
t = 1.068 s
(i) To show that a piecewise function is continuous at a point, we need to show that the left hand and right hand limit "agree" with each other. In other words, we want:
Now, since we're given the constraints and the equation of each constraint, we notice that 6061^+ is a number that is slightly bigger than 6061. So we use the second equation. Do you see why?
In much the same way, 6061^- is a number that is slightly smaller than 6061. So we use the first equation. Again, do you see why? (Hint: look at the conditions on x for each equation).
So finally, computing each limit means just "plugging" 6061 into their respective equations. That is:
Since your limits match, we say that, at the point x = 6061, T(x) IS continuous.
(ii) Repeat the process above with x = 32473.
(iii) Find a point of discontinuity just means your right hand and left hand limits do not match -- I'm not an economist, so I may not be of much help with the latter part of the question!