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,



![1400= -\dfrac{800}{k}[e^{-kt}-e^0]](https://tex.z-dn.net/?f=1400%3D%20-%5Cdfrac%7B800%7D%7Bk%7D%5Be%5E%7B-kt%7D-e%5E0%5D)
from equation 1
![k= -\dfrac{8}{14}[\dfrac{7}{8}-1]](https://tex.z-dn.net/?f=k%3D%20-%5Cdfrac%7B8%7D%7B14%7D%5B%5Cdfrac%7B7%7D%7B8%7D-1%5D)

putting value of k in equation (1)

t = 1.068 s
Answer:
a.

b.

Step-by-step explanation:
a. From the information provided, we can deduce that the population death's follows a Geometric sequence in the form
where
and 
#Since the population is reducing,
can is obtained as 
#The
term is obtained using the formula
, given a=1200
The number of ants alive after every month (in first 4 months)

The ant's alive after 4 months is obtained as the value of 

Hence, 936 ants are alive after 4 months.
b. As with the above question, the kitten population follows a geometric sequence:
.
#Since it's a growing population , the common ration is the sum of 100% + the growth rate,
and
and 
The population after 4weeks will be:

Answer:it’s 6
Step-by-step explanation:
Drop the percent sign so that you only have 96 then divide by 100 to get the decimal (or move the decimal place to the left two).
96% --- drop the percent
96 ----- move the decimal place over to or divide by 100
96/100
96.0
.96