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
Yuliya22 [10]
2 years ago
13

Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share an

y of your thoughts you had when solving. Please do not answer unless you know the answer. Thanks! Good Luck!
A football is kicked straight up into the air from 3 feet above the ground with an initial velocity of 208 ft/s. The function that models the ball's height is: h(t) = -16t^2 + 208t + 3.
a) Find how long it takes for the football to reach its maximum height.

b) Determine how long the football was in the air (approximately). Why might this not quite be accurate?

c) Determine the maximum height of the football.
Mathematics
1 answer:
bija089 [108]2 years ago
3 0

Answer:

  • a) 6.5 seconds
  • b) 13 seconds
  • c) 679 ft

Step-by-step explanation:

<u>Given function:</u>

  • h(t) = -16t^2 + 208t + 3

a) <u>Maximum height is the vertex.</u> The ball reaches the maximum after:

  • h = -208/2(-16) = 6.5 seconds

b) <u>Time the ball was in the air:</u>

  • -16t^2 + 208t + 3 = 0

Solving we get approximately t = 13 seconds

c) <u>Maximum height is at vertex, we found t above:</u>

  • h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft
You might be interested in
Given R=1/4 Q^2 solve for Q
Dmitry [639]

9514 1404 393

Answer:

  Q = ±2√R

Step-by-step explanation:

Take the square root:

  ±√R = 1/2Q

Multiply by 2:

  Q = ±2√R

3 0
3 years ago
Complete the table of values for..
nexus9112 [7]

Answer:

Step-by-step explanation:

y = x² + x - 3

x = - 3

y = ( - 3 )² + ( - 3 ) - 3 = 3

( - 3 , <em>3</em> )

x = 0 ⇒ y = - 3

( 0 , <em>- 3</em> )

x = 1

y = ( 1 )² + ( 1 ) - 3 = - 1  

( 1 , <em>- 1 </em>)

<em>(b).</em> Coordinate x of the vertex of quadratic equation y = ax² + bx + c is

- \frac{b}{2a}

x = - \frac{1}{2(1)} = - \frac{1}{2} = - 0.5

y = ( - 0.5 )² + ( - 0.5 ) - 3 = - 3.25 = - 3\frac{1}{4}

( - \frac{1}{2} , - 3\frac{1}{4} )

6 0
2 years ago
A- CE=CD <br> B- CE = CA <br> C- BF=DF <br> D- DF=EF<br><br> please help!!
Oksana_A [137]

The perpendicular bisector theorem gives the statements that ensures

that \overleftrightarrow{FG} and \overleftrightarrow{AB} are perpendicular.

The two statements if true that guarantee  \overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB} are;

  • \overline{CE} = \overline{CD}
  • \overline{DF} = \overline{EF}

Reasons:

The given diagram is the construction of the line \mathbf{\overleftrightarrow{FG}} perpendicular to line \mathbf{\overleftrightarrow{AB}}.

Required:

The two statements that guarantee that  \overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB}.

Solution:

From the point <em>C</em> arcs <em>E</em> and <em>D</em> are drawn to cross line \overleftrightarrow{AB}, therefore;

\overline{CE} = \mathbf{\overline{CD}} arcs drawn from the same radius.

\overleftrightarrow{FG} is perpendicular to line \overleftrightarrow{AB}, given.

Therefore;

\overline{DF} = \overline{EF}  by perpendicular bisector theorem.

Learn more about the perpendicular bisector theorem here:

brainly.com/question/11357763

7 0
3 years ago
A pile of sand in the shape of a cone has a diameter of 8 in. and a height of 5 in.
max2010maxim [7]

if it has a diameter of 8, that means its radius is half that, or 4.


\bf \textit{volume of a cone}\\\\&#10;V=\cfrac{\pi r^2 h}{3}~~&#10;\begin{cases}&#10;r=radius\\&#10;h=height\\[-0.5em]&#10;\hrulefill\\&#10;r=4\\&#10;h=5&#10;\end{cases}\implies V=\cfrac{\pi (4)^2(5)}{3}\implies V=\cfrac{80\pi }{3}&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;~\hfill \stackrel{using~\pi =3.14}{V= 83.7\overline{3}}~\hfill

8 0
3 years ago
The cost for two different companies to make x candles is shown on the graph.
tia_tia [17]

Answer:

D) Quick Wick will make more candles when the cost is $600.

Step-by-step explanation:

Find the initial value (b) and the cost per candle (m), to write the equation of each line in the slope-intercept form, y = mx + b. This will help for easy comparison.

✔️Wax Art:

m = change in y/change in x

Using (10, 140) and (20, 180),

m = (180 - 140)/(20 - 10) = 40/10

m = 4

Cost per candle = $4

To find b, substitute (x, y) = (10, 140) and m = 4 into y = mx + b

140 = 4(10) + b

140 = 40 + b

140 - 40 = b

100 = b

b = 100

Initial value = $100

To get the equation, substitute m = 4 and b = 100 into y = mx + b

y = 4x + 100

✔️Quick Wick:

m = change in y/change in x

Using (10, 120) and (30, 180),

m = (180 - 120)/(30 - 10) = 60/20

m = 3

Cost per candle = $3

To find b, substitute (x, y) = (10, 120) and m = 3 into y = mx + b

120 = 3(10) + b

140 = 30 + b

120 - 30 = b

90 = b

b = 90

Initial value = $90

To get the equation, substitute m = 3 and b = 90 into y = mx + b

y = 3x + 90

Let's analyse each option given using the information we now have:

✔️Option A: INCORRECT

Cost per candle for made is $1 less for Quick Wick. I.e. cost per candle for Quick wick is $3. Cost per candle for Wax Art is $4.

✔️Option B: INCORRECT

Difference between the initial value sof the two companies = $100 - $90 = $10

✔️Option C:

Find the cost of making 50 candles for each company by substituting x = 50 into each of their equations. Thus:

Wax Art => y = 4x + 100

y = 4(50) + 100

y = $300

Wax Art will make 50 candles for $300

Quick Wick => y = 3x + 90

y = 3(50) + 90

y = $240

Quick Wick makes 50 candles for $240

As we can see, Quick wick is making 50 candles at a lower cost than Wax Art.

Therefore, option C is INCORRECT.

✔️Option D: find out how many candles (x) each company will make when the cost is $600.

Substitute y = 600 in each equation of both companies

Wax Art => y = 4x + 100

600 = 4x + 100

600 - 100 = 4x

500 = 4x

500/4 = x

x = 125 candles

Quick Wick => y = 3x + 90

600 = 3x + 90

600 - 90 = 3x

510 = 3x

510/3 = x

x = 170 candles

Quick Wick will make more candles when he cost is $600.

Therefore, option D is the only CORRECT statement of comparison.

6 0
2 years ago
Other questions:
  • How do you find a mode
    11·2 answers
  • Disadvantage to using tables and diagrams
    6·2 answers
  • What would the answer be?​
    13·1 answer
  • Please help me with questions 5, 6, and 7
    7·1 answer
  • Jaleesa bought 2 notebooks for $8.75 each and 1 textbook for $74.95. If the sales tax was 7%, what was the total cost of Jaleesa
    14·1 answer
  • Which function passes through the points (2, 15) and (3, 26)?
    7·2 answers
  • PLSSSSSSSSS HELPPPP!!!!!!!! PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
    15·1 answer
  • Pls help quickly! First 2 answers i will chose to get a brainliest!
    8·1 answer
  • Pls help! i will mark you brainliest !
    14·1 answer
  • Four straight lines k, l, m, and n intersect as shown in
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!