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

Solve equation by using the quadratic formula.
2 x squared minus 5 x = 7
a.
x = StartFraction 2 Over 7 EndFraction, negative 1
c.
x = StartFraction 7 Over 2 EndFraction, negative 1
b.
x = StartFraction 2 Over 7 EndFraction, 0
d.
x = StartFraction 2 Over 7 EndFraction, 1

Answers

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

Please help whats the error ​

Answers

Answer:

x=20°

Step-by-step explanation:

5x°=100° ----because they are vertically opposite angles

x=100/5

x=20°

Find the value of x.
A
28
20
B
9x – 8
С

Answers

Answer:

The question is incorrect. please provide a diagram.

A(n) ______________ is a change in size or position of an object.
a) Translation
b) Transformation
c) Rotation
d) Dilation

Answers

Answer:

I am guessing transformation

i’m guessing it’s either B or D. i think it’s B though. it is the only answer choice that would allow u to change the size of the object and change the position.

Lin runs 5 laps a track in six minutes how many minutes per lap is that

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:

1 lap/1.2 minutes

what is the answer? A B C D

Answers

Answer:

b

Step-by-step explanation:

30 i believe.. let me know if i’m correct

Write the equation of the line passing through the point (3, 5) that is
PEREPENDICULAR to y = -3/4x + 5 in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

perp. 4/3

y - 5 = 4/3(x - 3)

y - 5 = 4/3x - 4

y = 4/3x + 1

what is 26453 x 45=??????????????????

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.

A bus going 45km/h travels nonstop from the northern end of town to the southern end of town in 15 minutes. How far does the bus travel?

Answers

Step-by-step explanation:

15 minutes = 0.25 hours.

Distance the bus travels

= (0.25h)(45km/h)

= 11.25km.

Write as a fraction with a whole number divisor: 35.7 ÷ 0.07

Answers

Answer:

510  

that the whole number

Question 4
Solve the system of equations and choose the correct answer from the list of options.
x+y=-3
y = 2x + 2
A) ( 5/3,4/3)
B) (-5/3,-4/3)
C) (-2/5,-3/4)
D) ( 3/4,3/5)

Answers

I believe it’s C (-2/5,-3/4)

Find the volume of the cylinder. Use 3.14 for pi. Round your answer to the nearest tenth.

Answers

Answer:

The formula for the volume of a cylinder is V=Bh (where B is the base) or V=πr2h . The radius of the cylinder is 9 ft and the height is 6 ft. Substitute 9 for r and 6 for h in the formula V=πr2h = (3.14) (9) (2) (6) =339.12

Step-by-step explanation:

Now C=339.12 round to the nearest tenth is 339.1

PLEASEEEEEE HELPP ME EEEE :)

Answers

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

Can someone help me with this question pls and thank you

Answers

Answer:

x>2

Step-by-step explanation:

Longer than two hours is >.

X>2 is the answer I think

(3g - 8) - (2g - 1) ...........

Answers

Answer:

g-7

Step-by-step explanation:

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)

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...

600 / 12 = 50

there u go

can i be brainiest...

Multiplication should be the correct answer

A function is shown
f(x)=2/3x+3 what is the value of f(12)

Answers

Answer:

11

Step-by-step explanation:

f(12) = 2/3x+3

So, replace x with 12.

2/3(12) + 3

2/3 x 12 = 8

8 + 3 = 11

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:

45h+ 4

Step-by-step explanation:

you got to divide but the expression is 45h+4

Write the equation of the line 1x + 3y = 6 in y = mx + b form.

Answers

Answer:

y = -1/3x + 2

Step-by-step explanation:

1x + 3y = 6

3y = -x + 6

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,

3y = 6 - x

Now we divide everything by 3, to isolate y

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

Jeannie got a new pair of eye glasses. She was able to pay $15 at the
time she received her glasses. She will pay $12 each month on the
balance. The original cost of the glasses was $87.
a. Write an equation to determine how many months it will take
Jeannie to pay for her glasses?

Answers

Answer:

Equation A. 12x=87

If you combine 4x and -2x how many x's will we have left?​

Answers

Answer:

Step-by-step explanation:

4x+(-2x)=2x

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

- 1 greater than or equal to x, and - 9 is less than x

Answers

Answer:

−1⩾x>9

Step-by-step explanation:

9 less than x simply means x is greater than 9

[tex] - 1 \geqslant x > 9[/tex]

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

Answers

add the two donuts together, which is 28

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

Answers

Answer:

C) y=x+3

Step-by-step explanation:

I did it and got it right

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Answers

1.5 :)

Step-by-step explanation:

you would divide the 2 numbers, then youre left with the sf

Is (4, 2) is the solution to the system below?
Explain how you know by recording an audio response or by showing your work.
y=2x-6
x+y=8

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.

How many degrees is -6.2 rotations clockwise

Answers

answer: −2,232°
explanation:
360°(-6.2) = −2,232°

7th grade math please helpp i have alot of questions due in 10mins​

Answers

Answer:

V=247.8

Step-by-step explanation:

V=whl

V = (4.2)(5)(11.8)

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