Answer:
True.
Step-by-step explanation:
C(4, 3) means the number of combinations from 4 items taking 3 at a time. We are selecting 3 distinct items and it doesn't say anything about the order in which they are selected , so we use a combination formula not a permutation ( where order does matter).
C(4, 3) = 4! / 3! 1!
= 4*3*2*1 / 3*2*1*1
= 4.
There are 4 ways to select 3 items from 4.
The answer is 492.307
The number after the thousandths is 9 - greater than 5 - so we round 6 up to 7.
<h3>(a) The rock splashes down when h(t) = 0. Set h(t) = 0 and solve for t using quadratic formula.</h3>
<h3>0 = − 4.9t^2 + 334t + 255</h3>
<h3>t = -0.75, 68.92</h3>
<h3>(Throw away the negative answer, since time can't be negative.)</h3>
<h3>t = 68.92 sec</h3>
<h3>(b) The rock is at it's peak when the slope of it's trajectory is zero. This trajectory is also the tangent line, so finding when the slope of the tangent line is zero is the goal. To do this, take the derivative of h(t) and set h'(t) = 0.</h3>
<h3>h'(t) = -9.8t + 334</h3>
<h3>0 = -9.8t + 334</h3>
<h3>t = 34.08 sec</h3>
<h3>Use this time to find the height of the ball h(t), so h(34.08 sec).</h3>
<h3>h(t) = − 4.9(34.08)^2 + 334(34.08) + 255</h3>
<h3>h(t) = 5946.6m</h3>
<h3> And follow me </h3>