A waterfall has a hit of 1500 ft. A pebble is thrown upward at the velocity of 24ft per second. The hot, h, of the pebble after t seconds is given by the equation h=-16t+24t+1500. How long after the pebble is thrown will it hit the ground.

A waterfall has a height of 1500 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet per second. The height, h, of the pebble after t seconds is given by the equation h =−16t^2+24t+1500. How long after the pebble is thrown will it hit the ground?

Pebble will hit the ground after 10.46 seconds.

Step-by-step explanation:

Given:

The height, "h" of the pebble after t seconds, "h" = −16t^2+24t+1500

We have to find the time it will take to hit the ground.

For this we have to put h = 0 and solve the quadratic.

Quadratic formula:

⇒ Standard equation :

⇒

Now,

Solving the above equation with quadratic formula after comparing its values with the standard equation.

⇒

⇒

⇒

⇒

⇒

⇒                         ⇒

⇒                                ⇒

⇒                            ⇒

Discarding the negative values.

The pebble will hit the ground after 10.46 seconds.

$7.

Step-by-step explanation:

It is given that the printing company charges a certain amount for each shirt plus a setup fee of $40.

Let x be the cost of each t-shirt.

There are 21 students in the drama club. So, total cost of 21 t-shirts is

It is given that the t-shirt order costs a total of $187.

Divide both sides by 21.

Therefore, the cost of each t-shirt is $7.