The equation is actually
. Free fall is always -16t^2 as the position function. We are looking for how long it takes the object to hit the ground. In other words, the height of an object is 0 when it is laying on the ground, so how long (t) did it take to get there? We will then set that position equal to 0 and solve for t.
. If we subtract 1437 from both sides and divide by -16, we have
. Taking the square root of both sides gives us, rounded to the nearest tenth, t = 9.5 or t=-9.5. The 2 things in math that will never EVER be negative are time and distance/length, so -9.5 is out. That means that it took just about 9.5 seconds for the object to fall to the ground from a height of 1437 feet when pulled on by the force of gravity.
Answer:
for seven cabins it should be 14.7 trees, im not sure about 3 cabins, sorry :(
<span>We have the function: f ( x ) = ( x + 6 ) ( x + 6 ) = ( x + 6 )^2. This is the square of the binomial. It has only one zero ( only one x- intercept ). When f ( x ) = 0, ( x + 6 )^2 = 0. x + 6 = 0; x = - 6. Therefore point ( - 6 , 0 ) is the only x - intercept. Answer: D ) f ( x ) = ( x + 6 ) ( x + 6 ).</span>
Answer:
The rate of change of the area of the circle is approximately 
.
Step-by-step explanation:
Given:
radius 
We need to find the rate of change of the area of the circle at that instant.
Solution:
Now we know that;
Area of the circle is given by π times square of the radius.
framing in equation form we get;
to find the rate of change of the area of the circle at that instant we need to take the derivative on both side.
Substituting the given values we get;
Hence The rate of change of the area of the circle is approximately .
