answer.
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
GrogVix
2 months ago
15

Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48feet above the ground,

the function h(t)=−16t2+32t+48 models the height, h, of the ball above the ground as a function of time, t. Find the times the ball will be 48feet above the ground.
Mathematics
2 answers:
babunello [11.8K]2 months ago
5 0

\bf \stackrel{height}{h(t)}=-16t^2+32t+48\implies \stackrel{48~ft}{~~\begin{matrix} 48 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=-16t^2+32t~~\begin{matrix} +48 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} \\\\\\ 0=-16t^2+32t\implies 16t^2-32t=0\implies 16t(t-2)=0\implies t= \begin{cases} 0\\ 2 \end{cases}

At t = 0 seconds, the ball is released, and at t = 2 seconds, it reaches the same height again.

PIT_PIT [12.4K]2 months ago
5 0

Answer: t_1=0\\t_2=2

Step-by-step explanation:

We’re given the function h(t)=-16t^2+32t+48 that describes the ball’s height "h" above ground over time "t".

To determine when the ball is at 48 feet, substitute h=48 into the equation and solve for "t":

48=-16t^2+32t+48\\0=-16t^2+32t+48-48\\0=-16t^2+32t

After factoring, we find:

0=-16t(t-2)\\t_1=0\\t_2=2

You might be interested in
Matt invested $1500 into a stock of his choice. After two years, he had received
Leona [12618]

For this query, the time presented seems unclear to me. I understand that the rate of return is determined by total return over the investment. Assuming Matt received $400 as dividends without reinvesting them into additional shares, his total return across two years amounted to $500. Conversely, if the dividends were reinvested into the stock—something that typically happens with a 401(k) or IRA—his ROI would render a mere 6% due to only a $100 gain on a $1500 investment. In an actual market scenario, it’s likely that Matt would have experienced about a 5% return on a solid stock, while Bella would have had approximately 0.05% from a savings account.

I hope this was helpful!;)

3 0
1 month ago
Suppose that surface σ is parameterized by r(u,v)=⟨ucos(3v),usin(3v),v⟩, 0≤u≤7 and 0≤v≤2π3 and f(x,y,z)=x2+y2+z2. Set up the sur
tester [12383]
It appears you've gathered most of the relevant information, but a critical element is missing. The surface represented is parameterized by... and has a normal vector corresponding to this representation with a specified norm. Thus, the integral of... is...
6 0
12 days ago
A basketball is rolling with a velocity of 0.5 meters/second relative to the ground and due north. A tennis ball is rolling with
Inessa [12570]
Let’s clarify this: the basketball moves faster, indicating the tennis ball won’t be able to catch up. Therefore, we utilize the formula:
Vr=Vb-Vt
<span>=0.5-0.25=0.25
</span>Thus, the relative speed is <span>0.25m/s.
I hope this is helpful.</span>
5 0
1 month ago
Find the 99th term of the arithmetic sequence 2, -3, -8,...
tester [12383]

Answer:

The sequence decreases by 5

thus the subsequent numbers are

-13,-18,-23,-28

7 0
21 day ago
In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.
lawyer [12517]
Utilizing the Law of Sines (sinA/a=sinB/b=sinC/c) and recognizing that the angles in a triangle add up to 180°.

The angle C calculates to 180-53-17=110°

Thus, we have 27/sin53=b/sin17=c/sin110

This leads to b=27sin17/sin53, c=27sin110/sin53

The perimeter is defined as a+b+c, so

p=27+27sin17/sin53+27sin110/sin53 units

p≈68.65 units (rounded to the nearest hundredth of a unit)
6 0
1 month ago
Other questions:
  • Given: 4d=1/3(c-d) Proof= c=13d
    5·1 answer
  • Barbara worked 4 hours, 2 1/3 hours, and 5 2/3 hours this week at a part time job. Barbara is paid $9 an hour. How much did she
    15·2 answers
  • Kelly bought Mason’s home for $255,500. Mason had prepaid the annual property taxes of $2,650. If closing costs are calculated o
    8·1 answer
  • In a high school there are 1200 students. Estimate the probability that more than 130 students were born in January under each o
    12·1 answer
  • If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes. If she leaves after 7:00 a.m., she
    9·2 answers
  • A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container. If the water level in th
    5·1 answer
  • A dental laboratory technician earns $14 per hour when she work days and $18 per hour when she works nights. One month she works
    5·1 answer
  • Write the equation of the line that is parallel to the line y=-7/4x-2 through the point (4,2)! Help please
    5·1 answer
  • Player V and Player M have competed against each other many times. Historical data show that each player is equally likely to wi
    15·1 answer
  • Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!