1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
elixir [45]
2 years ago
14

I'm awarding 20 points for an answer!

Mathematics
1 answer:
Irina18 [472]2 years ago
4 0

Answer:

40 feet (after 1.5 seconds).

Step-by-step explanation:

The height h of the ball after t seconds is modeled by the function:

h(t)=-16t^2+48t+4

And we want to determine the ball's maximum height.

Since the given function is a quadratic, the maximum height occurs at the vertex point.

For quadratics, the vertex point is given by the formulas:

\displaystyle \Big(-\frac{b}{2a},f\Big(-\frac{b}{2a}\Big)\Big)

In this case, a = -16, b = 48, and c = 4.

Therefore, the t-coordinate at which the vertex occurs is:

\displaystyle t=-\frac{48}{2(-16)}=\frac{48}{32}=\frac{3}{2}

So, the maximum height occurs after 1.5 seconds.

Then the maximum height will be:

\begin{aligned}\displaystyle h\Big(\frac{3}{2}\Big)&=-16\Big(\frac{3}{2}\Big)^2+48\Big(\frac{3}{2}\Big)+4\\\\ &=-16\Big(\frac{9}{4}\Big)+24(3)+4\\\\&=-4(9)+72+4\\\\&=40\text{ feet}\end{aligned}

So, the maximum of the ball is 40 feet (after 1.5 seconds).

You might be interested in
Need help with this question
photoshop1234 [79]

Answer:

Triangle IV

Step-by-step explanation:

7 0
3 years ago
What percent of the population is polled, if the population size is 4,000 at a NYC high
Hitman42 [59]

Answer:

1.875 %

Step-by-step explanation:

Divide the sample size by the population then multiply by 100:

percent = (75 ÷ 4000) x 100 = 1.875 %

4 0
2 years ago
henry bought 1\4 pound of screws amd 2\5 pound of nails to build a skateboard ramp.what is the total weight of the screws and na
Andreas93 [3]
1/4+2/5

13/20 is the answer.

Hope that helped :)
6 0
3 years ago
Read 2 more answers
find the volume of a right circular cone that has a height of 13.4m and a base with a radius of 12.5m.round your answer to the n
siniylev [52]

Answer:2192.6

Step-by-step explanation:

7 0
3 years ago
A regular pentagonal pyramid had a side length of 4 mm, an apothem that measures 3 mm, and a height of 4.1 mm. What is the volum
earnstyle [38]
The equation for solving the volume of a pyramid is equal to,
                              Volume = Bh/3

where B is the area of the base and h is height. 
To compute for the area of the base, we use the equation,
                                A = aP/2
where a is apothem and P is perimeter. Substituting the known values,
                                A = (3 mm)(5 x 4 mm) / 2 = 30 mm²
Substituting the computed value to the equation for volume.
                          V = (30 mm²)(4.1 mm) / 3 = 41 mm³
Thus, the answer is letter A. 
7 0
3 years ago
Other questions:
  • In a class of 666, there are 222 students who forgot their lunch.
    8·2 answers
  • 78(−32−48x)+36=23(−33x−18)−10x <br><br> Solve for x.
    9·2 answers
  • Determine whether the following lines are parallel, perpendicular or neither
    15·1 answer
  • The density of a fish tank is 0.2 fish over feet cubed . There are 8 fish in the tank. What is the volume of the tank?
    5·1 answer
  • WILL MARK BRAINLIEST
    9·1 answer
  • Whats ur favourite color?
    10·1 answer
  • How much will Ashley’s plan cost for the same number of texts as when Jumel’s costs $75? Show your work and write your answer in
    15·1 answer
  • Help plz i give brainiest
    9·2 answers
  • The integers greater than -3and less than 4​
    11·1 answer
  • HELP :(
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!