Answer:
10π ft.
Step-by-step explanation:
Circumference = diameter * π.
1st change 1 5/6 into a mixed number:
1 5/6 = 11/6
New problem:
8/10 divided by 11/6
to divide fractions you turn the 1st fraction upside down and then change the division sign to a multiplication sign:
8/10 / 11/6
10/8 * 11/6
=55/24 or 1 7/24
Answer:
He must pay $129.45 and the total amount due is $3,629.45.
Step-by-step explanation:
I (interest) =P (principal) x R (rate) x T (time)
I=3500x.09x150/365
I=129.45
A (amount due) = P (principal) + I (interest)
A= 3500 + 129.45
A= $3629.45
The answer would be y=x-4
Answer:
True, see proof below.
Step-by-step explanation:
Remember two theorems about continuity:
- If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
- (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.
If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.
