Answer:
3 seconds
Step-by-step explanation:
You want to set h(t)=3, then take the root such that t≠0. You would have:
3=3+48t−16t^2
Let's solve your equation step-by-step.
3=3+48t−16t2
Step 1: Simplify both sides of the equation.
3=−16t2+48t+3
Step 2: Subtract -16t^2+48t+3 from both sides.
3−(−16t2+48t+3)=−16t2+48t+3−(−16t2+48t+3)
16t2−48t=0
Step 3: Factor left side of equation.
16t(t−3)=0
Step 4: Set factors equal to 0.
16t=0 or t−3=0
t=0 or t=3
3 makes more sense than 0 because the ball can't have been in the air for 0 seconds.
So the ball was in the air for 3 seconds.
Answer:

Step-by-step explanation:
The formula you wrote has the fraction the other way around. You can find that the range of a projectile is in reality approximated by the equation
, where we will use ft for distances.
From the given equation we have then
, which means
since the arcsin is the inverse function of the sin.
Since we have x = 170 ft and v = 85 ft/s, we can substitute these values from the equation written, and we will have
, and from now on we have just to use a calculator, obtaining 
Answer:
The correct option is (C) (2.769, 3.231).
Step-by-step explanation:
The confidence interval for mean when the standard deviation is not known is:

Given:

Compute the critical value as follows:

**Use a <em>t</em>-table.
The 95% confidence interval for true mean length of the bolt is:

Thus, the 95% confidence interval for true mean length of the bolt is (2.769, 3.231).
The correct option is (C).
Find the factors
The factor is -2
Finally equation:
(x-2)(x-2)