Becky found a tennis ball outside a tennis court. She picked up the ball and threw it over the fence into
the court. The path of the tennis ball can be represented by h = -16t2 + 80t, where h represents the
height of the tennis ball in feet and t represents the time in seconds.
31. Find the maximum height of the tennis ball.
32. How long will it take for the tennis ball to hit the ground?

Becky Found A Tennis Ball Outside A Tennis Court. She Picked Up The Ball And Threw It Over The Fence

Answers

Answer 1

Answer:

31). Maximum height = 100 feet

32). Time to hit the ground = 5 seconds

Step-by-step explanation:

31). Equation modeling the height 'h' of the ball is,

     h = -16t² + 80t

     For the maximum height of the ball,

     Find the derivative of 'h' with respect to time 't' and equate it to zero.

     [tex]\frac{dh}{dt}=\frac{d}{dt}(-16t^2+80t)[/tex]

          [tex]=-32t+80[/tex]

     [tex]\frac{dh}{dt}=0[/tex]

     [tex]-32t+80=0[/tex]

     [tex]t=\frac{80}{32}[/tex]

     [tex]t=2.5[/tex] seconds

     That means after 2.5 seconds ball will reach the maximum height.

     By substituting [tex]t=2.5[/tex] in the equation,

     [tex]h=-16(2.5)^2+80(2.5)[/tex]

     [tex]h=100[/tex] feet

     Therefore, maximum height achieved by the ball is 100 feet.

32). If the ball follows the parabolic path,

      Time taken by the ball to reach the maximum height = Time taken by  the ball to come back to the ground from the maximum height.

      Time taken by the ball to hit the ground = 2(2.5) = 5 seconds


Related Questions

Which expression represents a rational number?

Answers

Answer:

C

Step-by-step explanation:

2/7+sqrt121 is just 2/7+11.

This is rational.

Answer:

2/7 + sqrt 121

Step-by-step explanation:

the square root of 121 is a whole number - 11, which is rational and makes the equation rational

What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?

Answers

Answer:

Surface area of a box = 293 inches ²

Step-by-step explanation:

Surface area of a box = 2(lw + lh + hw)

Where,

l = length = 7 inches

w =width = 4 1/2 inches

h = height = 10 inches

Surface area of a box = 2(lw + lh + hw)

= 2(7*4.5 + 7*10 + 10*4.5)

= 2(31.5 + 70 + 45)

= 2(146.5)

= 293 inches ²

Surface area of a box = 293 inches ²

The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:40%

Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40

Answer:

Well the equation for this would 50*.20 = ...

The first half of the answer would be 10.

BUT!

You need to subtract 10 from 50.

50-10 = 40!

There you go.

Step-by-step explanation:

Please help I'm failing

Answers

Answer:

Unit rate!

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

~ LadyBrain

I will give brainliest! What is the length of the segment that joins the points (-5, 4) and (6, -3)?

Answers

Answer:

Your answer would be √170, or square root of 170.

Which equation represents the word sentence shown below?

The quotient of a number band 0.3 equals negative 10.

Answers

Answer:

where are the equations?

Step-by-step explanation:

tell me and I will edit my answer to answer ur question

Answer:

Step-by-step explanation:

A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!

Answers

Answer:

16/27

Step-by-step explanation:

12 boys and 16 girls

She already chose a boy so now there are (11+16) = 27 possible outcomes

There are 16 favorable outcomes(girl)

so the fraction is 16/27

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Nathan buys a blender with a listed price of $65. Nathan uses a coupon that provides 20% off. What is the total final price Nathan pays?

Answers

Answer:

$52

Step-by-step explanation:

Given data

Price of blender= $65

Coupon = 20%

Let us find the amount of the coupon

=20/100*65

=0.2*65

=$13

Hence the amount of the coupon is $13

The total price Nathan pays is

=65-13

=$52

solve this please i just need the top answer thx lol :)

Answers

Answer:  x+(x+1)+(x+2) = 63

This is because x is the smallest number, so x+1 is the next value up, and x+2 is the value after that. The parenthesis are optional. I used them to separate out the three expressions. We can simplify the left side to 3x+3, which means that equation in bold is the same as 3x+3 = 63. So there are few ways we can form the equation.

You have the correct answers for the other boxes:

20+21+22 = 63

Nice work.

20, 21, 22

Step-by-step explanation:

Let x = the smallest integer of the three consecutive ones

(x + 1) = the next consecutive integer after x

(x + 2) = the next consecutive integer after (x + 1)

The sum of these three should add up to 63 so

x + (x + 1) + (x + 2) = 63

This simplifies to

3x + 3 = 63

Solving for x, we get

x = 20

Therefore, the three consecutive integers whose sum add up to 63 are 20, 21 and 22.

2√3+4√18 in simplest radical form

Answers

Answer:

[tex]2\sqrt{3} + 12\sqrt{2}[/tex]

Step-by-step explanation:

Simplify each term.

Find the missing length

Answers

Answer:

Last one

Step-by-step explanation:

*quickest correct answer gets brainlyest*
Write in standard form (the number) 6.16 x 10^4
61600
6160
6160.000
6160000

Answers

Answer:

[tex]61600[/tex]

Step-by-step explanation:

[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]

Add my Discord so we can be besties: BeepBoop #0214 12-14 only please!!​

Answers

Answer: okay sir

Step-by-step explanation:

please check screenshot

Answers

Answer:

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Step-by-step explanation:

The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

How does the number 32.4 change when you multiply it by 10 of the power of 2

Answers

The answer is 104,976

Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).

Answers

Answer:

Function 1 has a greater rate of change.

Step-by-step explanation:

Function 1 has a rate of change of 3 because 3x is the slope of the line.

Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.

Function 3 has a rate of change of 2.  You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.

I need the answer pls

Answers

Answer:

s

Step-by-step explanation:

sdd

Beverly has started her own company selling posters. Her upfront cost to start the business was $660. She sells each poster for $12. When will Beverly break free? (When will her profit be 0)

Answers

Answer:

she needs to sell 55 posters

Step-by-step explanation:

660/12

Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?

Answers

L*W*H gets you 18 cubic inches and is each holds 0.55 fluid ounces then that gets you a total of 9.9 fluid ounces

solve the following :
7+2x/3= 5
and
3x+4/2= 9.5

Answers

Answer:

x= 4

x= 5

Step-by-step explanation:

7 + 2(4)/ 3 = 5

7 + 2(4)/3 = 5

7+8/3 = 5

15/3 = 5

3(5) +4/ 2 = 9.5

15+4/2 = 9.5

19/2 = 9.5

The person from above me is correct. Thanks for the points btw. Ask me if u need any help

will mark brainliest


The measure of angle P is ___ degrees, rounded to the nearest hundredth.

Answers

Answer:

53°

Step-by-step explanation:

Use sine cosine or tangent (SOHCAHTOA). For this example I'll use sine.

For sine you'd use the equation sin(x)=[tex]\frac{opp}{hyp}[/tex] where x is the missing angle measure

the opposite side from x is 45 cm and the hypotenuse is 53 cm

sin(x)=[tex]\frac{45}{53}[/tex]

then rearrange the equation like this x=[tex]sin^{-1}[/tex]([tex]\frac{45}{53}[/tex])

most graphing calculators should solve it from there if you plug it in, hope this helps! :)

plz help its timed!! will give brainliest

Answers

Answer:

x = 7

Hope this helps!-Finny

Solve the equation for x.​

Answers

Answer:

-110

Step-by-step explanation:

[tex]-\frac{x}{10} =11[/tex]

-x=11×10=110

x=-110

if m1=35° and m2=75°, what is m3?​

Answers

Answer:

m3 should be 70°

all internal angles of a triangle add up to 180

180-35-75 = 70

Answer:

All angles of a triangle add up to 180°.

there m1+m2+m3=180°

35+75+m3=180

110°+m3=180°

m3=180°-110°

m3=70°

Answer is A.

The theater sells two types of tickets: adult tickets for $17 and child tickets for $14.
Last night, the theater sold a total of 238 tickets for a total of $3554. How many adult tickets did the theater sell last night?

Answers

Answer:

74 adult tickets

Step-by-step explanation:

Create a system of equations where a is the number of adult tickets and c is the number of child tickets:

a + c = 238

17a + 14c = 3554

Solve by elimination by multiplying the top equation by -14:

-14a - 14c = -3332

17a + 14c = 3554

Add these together, and solve for a:

3a = 222

a = 74

So, 74 adult tickets were sold last night

Plz help me:)!!!✌︎('ω')✌︎

Answers

The answer to your problem is C

WILL GIVE BRAINLIEST!!

A bookstore costs $90 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point for this bookstore?
A. n = 12
B. n = 18
C. n = 15
D. n = 16

Answers

Answer:

Total Cost in a day is . Profit function is . And the revenue function is . In a day, bookstore must sell at least 15 books, because of 6n-90=0, in order to make profit.

Step-by-step explanation:

-90

The break-even point for this bookstore is 15, i.e. correct answer is,

C. n = 15.

Here, we have,

given that,

A bookstore costs $90 a day to keep open,

and it spends $12 for each book that it sells.

If each book sells for $18,

now, we know that,

Breakeven quantity = fixed cost / price – variable cost per unit

now, we have,

$90 / (18 - 12)

=$90 / $6

= 15

so, n = 15

Hence, The break-even point for this bookstore is 15, i.e. correct answer is, C. n = 15.

To learn more about break even, please check: brainly.com/question/17960037

#SPJ7

Plz solve this question

Answers

Answer:

first one

Step-by-step explanation:

and is this a test?


PLZ IN NEED OF HELP!!

Answers

36262527273383762828 there

does anyone know this?

Answers

Answer:

Hello! answer: a = 24

Step-by-step explanation:

30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!

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