Answer:
a=200;110;101andb=decreasing
Step-by-step explanation:
a.(100×10+1000)/10=200
(100×100+1000)/100=110
(100×1000+1000)/1000=101
Answer:
A. 9 miles
Step-by-step explanation:
if you flip one of the sides to be to be diagonal then it is the same length as the road.
We split [2, 4] into
subintervals of length
,
![[2,4]=\left[2,2+\dfrac2n\right]\cup\left[2+\dfrac2n,2+\dfrac4n\right]\cup\left[2+\dfrac4n,2+\dfrac6n\right]\cup\cdots\cup\left[2+\dfrac{2(n-1)}n,4\right]](https://tex.z-dn.net/?f=%5B2%2C4%5D%3D%5Cleft%5B2%2C2%2B%5Cdfrac2n%5Cright%5D%5Ccup%5Cleft%5B2%2B%5Cdfrac2n%2C2%2B%5Cdfrac4n%5Cright%5D%5Ccup%5Cleft%5B2%2B%5Cdfrac4n%2C2%2B%5Cdfrac6n%5Cright%5D%5Ccup%5Ccdots%5Ccup%5Cleft%5B2%2B%5Cdfrac%7B2%28n-1%29%7Dn%2C4%5Cright%5D)
so that the right endpoints are given by the sequence

for
. Then the Riemann sum approximating

is

The integral is given exactly as
, for which we get

To check: we have

Answer:
40 cm
Step-by-step explanation:
1 km = 10^5 cm, so 8 km = 8×10^5 cm
The map distance is 1/20,000 = 5×10^-5 of the real distance, so the map distance is ...
(5×10^-5)(8×10^5 cm) = 40 cm
Answer:
x=2
Step-by-step explanation: