Answer:
2.54 seconds
Step-by-step explanation:
We can use the following equation to model the vertical position of the ball:
S = So + Vo*t + a*t^2/2
Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.
Then, using S = 2.5, So = 0.4, Vo = 14 and a = -9.8 m/s2, we have that:
2.5 = 0.4 + 14*t - 4.9t^2
4.9t^2 - 14t + 2.1 = 0
Solving this quadratic equation, we have that t1 = 2.6983 s and t2 = 0.1588 s.
Between these times, the ball will be higher than 2.5 m, so the amount of time the ball will be higher than 2.5 m is:
t1 - t2 = 2.6983 - 0.1588 = 2.54 seconds
When you're looking to simplfy a number, the best thing to do is to list all of the factors of that number;
21- 1,3,7
8- 1,2,4,8
The only common factor between these is one, and this is what they're currently in, therefore, it cannot be simplified.
Hope this helps :)
Matt is 24 and John is 18. 24 - 18 is 6. And 24 + 18 would equal 42.
Answer:
She will make a profit of one dollar because the cost of operation and production is 203 dollars in total and selling 17 necklaces she will make 204 dollars
Edit: b) She will need to sell exactly seventeen necklaces
Step-by-step explanation: Hope this helps!
