A man drops a ball from the top of a 300 foot cliff. The height of the falling ball is modeled by h(t)=-16t2+300 where h is in feet and t is in seconds. How long does it take for the ball to be 44 feet above the ground?

The ball reaches 44 ft above the ground after 4 sec.

Step-by-step explanation:

Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t.  Indicate exponentiation with " ^ "

-16t^2 + 300 = 44 becomes

-16t^2 + 256 = 0, or 16t^2 = 256.  Then, taking the square root of both sides, we get:

4t = 16, or t = 4 sec.  The ball reaches 44 ft above the ground after 4 sec.

i think it is

step-by-step explanation:

a formal letter is a letter the you would send to a king

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions