A rocket is fired upward from ground level with an initial velocity of 1600ft/sec . When will the rocket be above 1000ft? Show your work. Round your answer to the nearest tenths. Write the answer in set notation.

{t: 0.6 < t < 99.4}.

Step-by-step explanation:

Use one of the equations of motion under gravity.

s = ut + 0.5gt^2       where s = distance, u = initial velocity, g = acceleration due to gravity and t = the time.

So we have:

1000 = 1600t  + 0.5* -32*t^2            ( acc due to gravity is negative as we are acting against it).

16t^2 - 1600t + 1000 = 0

t =  (1660 +/- sqrt(1600^2 - 4*16*1000) / 32

This gives t = 0.629 , 99.371 seconds.

So the time is above 0.6 seconds (to the nearest tenth) and before 99.4 seconds.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1