A man drops a ball from the top of a 300 foot cliff. The height of the falling ball is modeled

Mathematics

1 answer:

netineya [11]2 years ago

5 0

Answer:

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.

You might be interested in

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

Molodets [167]

Hi there!

$\large\boxed{y = 2x + 6}$

For a system to have infinite solutions, the lines have to be the same. We can begin by rearranging the given equation into the format y = mx + b:

2y - 4x = 6

Move x to the opposite side:

2y = 4x + 6

Divide all terms by 2:

y = 2x + 6

The answer choice that matches this is the first one.

5 0

2 years ago

Valerie predicts she will be able to hold her breath for 31 second while underwater. If she actually held her breath for 34 seco

Pani-rosa [81]

(predicted value - exact value)/exact value * 100
(31 - 34)/34 * 100 = 8.8%

6 0

3 years ago

Read 2 more answers

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work i

USPshnik [31]

Answer:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.