Answer:
68+97i
Step-by-step explanation:
work shown and pictured
Answer:
12:02 AM on the next Thursday
Step-by-step explanation:
First we wanna find how many days that is. 154/24. that is 6 and 5/12 days.
5/12 of a day is equal to 10/24, so 10 hours, sice there are 24 hours in a day.
so that's 10 hours and 36 minutes which equals 2:02 pm + 10 hours 12:02 AM on Friday
Now just add the 6 days so 12:02 AM on the next Thursday
We know that the 15% of missing pencils is equal to 9
we can use this formula
9/x = 15/100
Then cross multiply
15x = 900
x = 60
There were orignally 60 pencils
V cylinder = pi * r^2 * h
V = 3.14 * 5^2 * 8
V = 3.14 * 25 * 8
V = 628 ft^3
We are told that a population of insects grows exponentially and we are given a table of data about insect population growth. We are asked to find population of insects at the end of week 11.
The initial insect population is 20 and at the end of 1st week population increases to 30.
Let us find growth percentage of insect population,




We can see that insect population is growing at rate of 50% per week.
Now let us write an exponential function for our population.
, where P(w) represents population at the end of w weeks.
Let us substitute w=11 in our function to find insect population at the end of 11 weeks.




Therefore, population of insects at the end of 11th week will be 1730.