Ronin kicks a ball over the gate of the first floor balcony. The function h(t)=-36t^2+288t+9 can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet 1. Find the time in Devon which the ball reaches it maximum height

Answers

Answer 1

Answer: 4 seconds

Step-by-step explanation:

Given: The function [tex]h(t)=-36t^2+288t+9[/tex] can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.

Differentiate the given function with respect to t , we get

[tex]h'(t)=-36(2)t+288=-72t+288[/tex]

Put h'(t)=0

[tex]\Rightarrow\ -72t+288=0\Rightarrow\ t=\dfrac{288}{72}\\\\\Rightarrow\ t=4[/tex]

Also, [tex]h''(t)=-72<0[/tex]

By second derivative test, h(t) is maximum at t=4.

Hence, the time in Devon which the ball reaches it maximum height = 4 seconds


Related Questions

Jenna wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She right and solve the equation

Answers

Answer:

I mean I don't fully understand this bc the question doesn't fully make sense but she should use 15.5 feet of fencing on each side. Hope that helps

Step-by-step explanation:

A parents wants to give a birthday party at Chucky Cheese. The cost is $50 plus $10 for every guest. Define the variables for the function and Identify the independent and dependent variables. Explain how you know If this a discrete or continuous function

Answers

Answer:

there are no variables

Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

the third one

Step-by-step explanation:

x+2<-5

x<-5-2

x<-7

ANWSER: X | x R, x -7

Step by step explanation;

x+2<-5

Subtract 2 from both sides

X+2-2 < -5 -2

Simplify

X < -7

I’m pretty sure

Triangle DEF and triangle PQR are similar and have the same orientation. The hypotenuse of triangle PQR is on the same line as the hypotenuse of triangle DEF and is one-third the length of DF.What is the equation of the line that the hypotenuse of triangle PQR lies on? Y = x + On the hypotenuse of triangle PQR, if coordinate P is at point (2, -4), then coordinate R is at point ( , ).

Answers

Answer:

y= -2x and (3,-6)

Step-by-step explanation:

h

Solve for x
Which one is it
5
6
7
8

Answers

I mean 2x+10
X=10/2
X=5

What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Answers

Answer:

[tex] \frac{y - 4}{x - ( - 3)} = \frac{8 - 4}{2 - (- 3)} \\ \frac{y - 4}{x + 3} = \frac{4}{5} \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\ \boxed{4x - 5y + 32 = 0}[/tex]

4x-5y+32=0 is the right answer.

In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
number of meals she eats out each month for a year. The data is recorded in the dot plot below.
O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
The data is skewed left with no outlier.
The data is skewed right with an outlier.
The data is skewed right with no outlier.

Answers

Answer:

The data is skewed left with an outlier.

Explanation:

Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.

Find the difference: 5.68 -
- 2.15 - (-1.34) = *

Answers

Answer:

THE ANSWER FOR THIS QUESTION IS 9.17

the answer to this question is: 4.87

Size of angle x in 51

Answers

Answer:

32

Step-by-step explanation:

you multiply the x factor

Brady needs to cut a piece of scrapbook paper
12 centimeters long. He cuts pieces of the following
lengths. Which cut results in a percent error of 15%?
Select all that apply.

Answers

It is 10.2 centimeters so option A :)

Answer:

Option A and Option C

Step-by-step explanation:

If we know that we have to cut a peice of paper 12 centemiters long, that means a 15% error would be cutting out one of the following lengths....

12 - 12(0.15) = 10.2 cm

or

12 + 12(0.15) = 13.8cm

So from this, we see that the answers are Option A and Option C  

Plssssssssssssss help meeeeeeee

Answers

Answer: $10

Step-by-step explanation:

So she's spending the money:

150.55 - 45.76 = 104.79

104.79 - 35.00 = 69.79

69.79 - 79.82 = -10.03

After she adds the 20.03 into her bank account, she now has $10

Help plz:):):):):)):):):):):)

Answers

Answer:

The answer is 60%

Step-by-step explanation:

12+8 = 20

12/20 = 0.6

PLEASE HELP

What is 2/3 of 15% of $2,000?
F. $100
G. $200
H. $300
J. $450
K. $500

Answers

Answer:

$200 dollars my friend.

Step-by-step explanation:

Hope I helped!

The solution is Option G.

The value of the equation A = ( 2/3 ) x 15% x $ 2000 = $ 200

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 2/3 ) x 15% x 2000   be equation (1)

On simplifying the equation , we get

A = ( 2/3 ) x ( 15/100 ) x 2000

A = ( 2/3 ) x ( 15 ) x ( 20 )

On further simplification , we get

A = ( 2/3 ) x 300

A = 2 x 100

A = $ 200

Therefore , the value of A is $ 200

Hence , the equation is A = $ 200

To learn more about equations click :

https://brainly.com/question/19297665

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WHO KNOWS THIS IF YOU KNOW YOU WILL EARNT 100+

Answers

Answer: Mom bought 10 chickens

Step-by-step explanation: if each chicken had 2 wings and there were 20 wings you divide

Answer:

3. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)

1.  If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)

2. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)

i'll give brainliest

Answers

Answer:

A. 50.3 meters

Зp + 2р – р

Please helppp haha

Answers

Answer:

4p

Step-by-step explanation:

3p + 2p = 5p

5p - p = 4p

Answer:

4p

Step-by-step explanation:

i want branliest please

5. The point (-7, 4) is reflected over the line x = -3. Then,
the resulting point is reflected over the line y = x. Where
is the point located after both reflections?
A. (-10,-7)
B. (1,4)
C. (4, -7)
D. (4,1)

Answers

Answer:

(4,1)

Step-by-step explanation:

Reflected over x = -3, new point : (1,4)

Reflected over y=x, new point = (4,1)

Calculate the slope between (-3,1) and (6,13)

Answers

Answer:

4 / 3

Step-by-step explanation:

slope formula: (y2 - y1) / (x2 - x1)

(13 - 1) / (6 + 3)

12 / 9

4 / 3

the answer is 4/3 so there you go

Solve the system by elimination
-x - y = 6
x + y =-6

Answers

The solution is y=-6 -x

Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?

Answers

Answer:

Jane spend 4 hours in a day sleeping, and 28 hours in a week.

Step-by-step explanation:

In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.

In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28

I would appreciate brainliest.

please explain how to get the answer to this. ​

Answers

Answer:

65°

Step-by-step explanation:

They are corresponding angles if M and N are parallel

Answer:

m∠b = 65°

Step-by-step explanation:

∠b and the 65° angle are known as corresponding angles meaning they are equivalent. Therefore, m∠b is 65°.

Solve the inequality 3x – 4> 2x +a, giving your answer in terms of X and a​

Answers

Answer:

x > a + 4

Step-by-step explanation:

3x - 4 > 2x + a

i) move -4 to the right-hand side and change its sign

3x > 2x + a + 4

ii) move 2x to the left-hand side and change its sign

3x - 2x > a + 4

iii) substract the values

x > a + 4

Help! Please!
Which expression is equivalent to the given expression?

−(12y+14)=

−14(1+2y)

14(2y−1)

−2(14y−18)

2(18−14y)

Answers

Answer:

- 1/4 ( 1 + 2y)

Step-by-step explanation:

Which expression shows 18 + 15 written as a product of two factors?
3(6+5)
6(3+5)
3(9+5)
6(3+2)

Pls help

Answers

The expression that shows 18 + 15 as a product of two factors is 3(6 + 5)

How to rewrite the expression as a product?

The expression is given as:

18 + 15

Factor out 3 from the expression

18 + 15 = 3 * (6 + 5)

Hence, the expression that shows 18 + 15 as a product of two factors is 3(6 + 5)

Read more about expressions at:

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write the in independent variable and the dependent and an equation pls help I will cash app you 20$

1) To fix a car, Fix-it Auto charges a base fee of $20 plus $40 per hour.


2) The cost of a banquet at Jean’s Banquet Hall is $450 for the rental of the hall and $15 per guest.


3) An author earns a royalty of $1.25 for each book sold.


4) Marie has $500 in her bank account. Each week she plans to deposit $20.


5) Paul has $1500 in his bank account. Each week he withdraws $100.


6) The cost to cut a lawn is a flat fee of $5 plus $6.50 per hour.


7) The charge to walk a dog is $10/hour.


8) Hans Building supplies sells sand for $19/ton plus $25 for delivery.

Answers

Answer:

12345678910

Step-by-step explanat

Simplify (3a^4-2a^2+5-10)-(2a^4+4a^2+5a-2)

Answers

Answer:

Step-by-step explanation:

3a^4 -2a^2 + 5 - 10 -(2a^4 +4a^2 + 5a -2)

as given.. i'm wondering if the 5 in the first group is really 5a.. hmmm

I'm guessing that it is...  soooo distribute the minus sign

= 3a^4 - 2a^2 +5a -10  -2a^4 -4a^2 -5a +2

= a^4 -6a^2 -8   :)  voila that's your answer

h(w) = -0.5 x 4^w
w = 18

Answers

Answer:

-3.44 times 10^10

Step-by-step explanation:

Answer please You feeling lucky punk

Answers

Answer:

Final velocity is 3

Change in velocity is 4

Initial velocity is 2

Instantaneous velocity is 1

Acceleration is 5

Can somebody please help me with this pleaseee

Answers

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

0 = 5(x - 2)(x + 2)

0 = x - 2

2 = x

0 = x + 2

-2 = x

Find the perimeter in simplest form and explain your work

Answers

9514 1404 393

Answer:

  7 1/8 yd

Step-by-step explanation:

The perimeter is the sum of the three side lengths. They are all the same, so we can use multiplication to find their sum.

  P = 3·(2 3/8 yd) = 6 9/8 yd  . . . . .  9/8 = 1 1/8

  P = 7 1/8 yd

The perimeter is 7 1/8 yards.

Answer:

[tex]perimeter \: of \: the \: triangle \\ = 2 \frac{3}{8} +2\frac{3}{8} + 2 \frac{3}{8} \\ = 3 \times 2 \frac{3}{8}\\= 3 \times \frac{19}{8} \\ = \frac{57}{8} \: yd \\ = 7 \frac{1}{8} \: yd[/tex]

57/8 yards is the right answer.
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