During a high school baseball tournament, Lexile hits a pitch and the baseball stays in the air for 4.42 seconds. The function describes the height over time, where h is its height, in yards, and t is the time, in seconds, from the instant the ball is hit: h(t) = - 5t ^ 2 + 22t + .5

Answers

Answer 1

Answer:

a) The maximum height that the ball reaches is 73.1 meter

b ) The time elapsed when the ball reaches its maximum height of flight = 2.2 seconds

Step-by-step explanation:

The complete question is

During a high school baseball tournament, Lando hits a pitch and the baseball stays in the air for 4.42 seconds. The function h(t) = -5t2 + 22t + 0.5 describes the height over time, where h is its height, in meters, and t is the time, in seconds, from the instant the ball is hit. a. What is the maximum height the ball reaches? b. What will be the time elapsed when the ball reaches its maximum height of flight?

Solution:

For maximum height

[tex]\frac{dh}{dt} =0[/tex]

[tex]\frac{d(5t^2 + 22t + 0.5)}{dt}\\ 10t + 22 = 0\\t = 2.2[/tex]seconds

a) Maximum height

[tex]5 * t^2 + 22t + 0.5[/tex]

[tex]= 5 * 2.2 *2.2 + 22 * 2.2 + 0.5 \\= 73.1[/tex]

b) Time elapsed when the ball reaches maximum height is 2.2 seconds


Related Questions

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Answer:

Equation A. 12x=87

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Answer:

g-7

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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x=100/5

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Which linear equation is represented by the table? Please help me, I really don’t understand, thank you so much!!

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Answer:

C) y=x+3

Step-by-step explanation:

I did it and got it right

Solve equation by using the quadratic formula.
2 x squared minus 5 x = 7
a.
x = StartFraction 2 Over 7 EndFraction, negative 1
c.
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Answer:

Do you need all of them?

Step-by-step explanation:

Answer:

C) x=7/2,-1

Step-by-step explanation:

just took the pretest got this right

What inverse operation should be used to isolate the variable in the equation j ÷ 12 = 50?

Answers

Answer:

multiplication...

Step-by-step explanation:

50 x 12 = 600

SO...

j = 600

SOO...

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there u go

can i be brainiest...

Multiplication should be the correct answer

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Answers

Step-by-step explanation:

11,90,385 is the correct answer.

PLEASE THANK, RATE AND FOLLOW ME,

AND PLEASE MARK ME AS "BRAINLIEST" ANSWER

HOPE IT HELPS YOU

Answer: The answer to that is 1190385.

which equation matches the graph of the greatest integer fiction giving below? a p e x

Answers

Answer:

A P E X  < CS

Step-by-step explanation:

simple

Find the area of the composite figure?


Answers

Answer:

128

Step-by-step explanation:

Let's start by figuring out the last side of the triangle

we can use the pathagoryous theroem and get

11.9²+x²=16.9²

Solve this and get x=12

Let's now compute the area of the triangle

b*h*.5

12*11.9*.5=71.4

So 71.4 is the area of the triangle

we now need to find the area of the semi circle.

to do this we are going to find the area and then divide it by 2

We know that the length is equal to 12 which means that the radius is 6

so we have

π6²/2

which is 56.55

We add the 71.4+56.55= 127.94 which rounds to 128

Answer:

212.758

Step-by-step explanation:

Find the semi-circle first, the diameter is 16.9 ft.

To find area:

Formula:

pi x radius x radius x 1/2

16.9 ÷ 2 = 8.45 (radius)

22/7 x 8.45 x 8.45 = 224.407 (Circle)

224.407 ÷ 2 = 112.203 (Semi circle)

Find the triangle:

1/2 x base x height or length x base x height

But for now, we will use the first one.

1/2 x 16.9 x 11.9 = 100.555

Now add them up.

100.555 + 112.203 = 212.758

(I don't know what units you to put for your answer since I don't learn American mathematics, so it's up to you)

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

y = -1/3x + 2

Step-by-step explanation:

1x + 3y = 6

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y = -1/3x + 2

Answer:

[tex]y=-\frac{x}{3}+2[/tex]

Step-by-step explanation:

1x + 3y = 6

We want the y to be isolated, so we subtract x from both sides,

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If Mia has brings 14 donuts to the party and Lizzy brings 14 also then how many cookie's is there all together

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Answer:

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Step-by-step explanation:

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Write the equation of the line passing through the point (3, 5) that is
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Answers

Answer:

Step-by-step explanation:

perp. 4/3

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y - 5 = 4/3x - 4

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

9 less than x simply means x is greater than 9

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A boat rental charges a flat fee of $45 and $4 per hour. Which expression represents the total cost to rent a boat for h hours

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Now C=339.12 round to the nearest tenth is 339.1

A function is shown
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Answers

Answer:

11

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Find the value of x.
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Answers

Answer:

The question is incorrect. please provide a diagram.

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Answers

Answer:

1.2 minutes

Step-by-step explanation:

6 divided by 5 = 1.2

To do this, you take the total number of minutes, which is 6, and divide by the number of laps that Lin ran, which was 5.

Answer:

1.2 minutes

Step-by-step explanation:

5 laps/6 minutes = 1 lap/x minutes

To convert the ratio from 5 laps to one laps, 5 was divided by 5. Therefore, to keep the same ratio, 6 must also be divided by 5, making the answer:

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A(n) ______________ is a change in size or position of an object.
a) Translation
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Answers

Answer:

I am guessing transformation

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Answers

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Question 4
Solve the system of equations and choose the correct answer from the list of options.
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Answers

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Answers

Step-by-step explanation:

15 minutes = 0.25 hours.

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Answers

It is not a solution because when it is plugged into the second equation x+y=8, making it 4+2=8, it is not true.

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Answers

It’s true:) hope this helps
Pretty sure it’s True
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