Set h to 640 and solve for t:
640 = -490t^2 + 1120t
Subtract 640 from both sides:
-490t^2 + 1120t - 640 = 0
The formula to solve a quadratic equation is:
x = -b -/+ sqrtroot (b^2-4ac)/(2a) where a = -490, b = 1120 and c = -640
Solve:
x = -1120 -/+ sqrtroot (1120^2-4(-490)(-640) )/ 2(-490)
x = 8/7 = 1.1428 = 1.14
Time was 1.14 seconds
The number of ants in his farm after 12 weeks is 218.
Step-by-step explanation:
Step 1:
It is given that there are 15 ants initially and the ant population increases by 25% each week.
This is an exponential rate of increase that can be modeled by the following equation:
Number of ants after n weeks = Initial number of ants * 
Step 2:
Rate of increase = 25% = 25 / 100 = 0.25
Number of weeks = 12
Number of ants after 12 weeks = 15*
= 218.27 (rounded off to 218)
Step 3:
Answer:
The number of ants in his farm after 12 weeks is 218.
Answer:
False.
Since the number of numbers in the world is infinite, there can be an infinite number of equivalent fractions.
Answer:
30 hours.
Step-by-step explanation:
Richard can build 15 snowballs in 1 hour
But 2 snowballs melt every 15 minutes
In 1 hour, the number of snowballs that will have melted is:
× 2 = 8
The number of snowballs that will have remained = 15 - 8 = 7
So 7 snowballs will have remained in 1 hour
For 210 snowballs to have remained, it will take:
× 1 = 30 hours.