La altura de una pelota que es lanzada directamente hacia arriba con una velocidad de 40 pies/s esta dada por y=40t -16t2 ¿Cuál es la altura máxima alcanzada por la pelota?

Answers

Answer 1

Explicación paso a paso:

Dada la altura de una pelota que se lanza directamente hacia arriba con una velocidad de 40 pies / modelada por la ecuación y = 40t -16t ^ 2

La pelota alcanzó su altura máxima cuando la velocidad es cero.

La velocidad se expresa como dy / dt

dy / dt = 40 - 2 (16) t

dy / dt = 40 - 32t

A altura máxima, dy / dt = 0

0 = 40-32t

-40 = -32t

t = 40/32

t = 1,25 s

Para obtener la altura máxima alcanzada, sustituirá t = 1.25 en la función modelada de la altura como se muestra;

y = 40t - 16t ^ 2

y = 40 (1,25) - 16 (1,25) ^ 2

y = 50 - 25

y = 25

Por tanto, la altura máxima que alcanza la pelota es de 25 m

Answer 2

Queremos encontrar la altura máxima alcanzada por una pelota que es lanzada hacia arriba. Veremos que la altura máxima es 25 pies.

Encontrando el máximo.

Sabemos que la ecuación de la altura es:

y = 40*t - 16*t^2

Podemos ver que es una parabola con un coeficiente lider (el que multiplica la variable al cuadrado) negativo. Esto sinifica que el maximo esta en el vertice.

Para una parabola general:

a*x^2 + b*x + c

El vertice está en:

x = -b/(2a)

Así que en nuestro caso, el vertice de y = -16*t^2 + 40*t está en:

t = -40/(2*(-16)) = 1.25

Para encontrar la altura maxima evaluamos la ecuación en este valor de t:

y = 40*1.25 - 16*(1.25)^2 = 25

Es decir, la altura máxima es 25 pies.

Sí quieres aprender más sobre parabolas, puedes leer:

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Related Questions

Determine if the following function is even, odd, or neither.. . f(x) = –9x^4 + 5x + 3. Show step-by-step solution.

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Answer:

96/45

Step-by-step explanation:

56

847748

38303[

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Just subtract 11 from 7.

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Step-by-step explanation:

Kyle plans to make 15 hamburger patties, each weighing 14 pound, for a cookout. At the store, hamburger meat is priced at $3.66 per pound. If Kyle orders the exact amount of meat he needs, how much will it cost, rounded to the nearest cent?

Answers

Answer:

Total cost= $768.66

Step-by-step explanation:

Giving the following information:

Production= 15 units

Standard quantity= 14 pounds per unit

Standard cost= $3.66 per pound

First, we need to calculate the total pounds required to make the hamburgers:

Total pounds= 14*15

Total pounds= 210 pounds

Now, the total cost:

Total cost= 210*3.66

Total cost= $768.66

8.78 + 6.2 show you work

Answers

Answer:

14.98

Step-by-step explanation:

1

8.78

6.20

---------

14.98

Answer:

14.98

Step-by-step explanation:

8.78

+6.2

--------

14.98

you want to imagine 6.2 like 6.20

so...

8.78

+6.20

----------

14.98

the 8 goes down 7+2=9 the (.) goes down 8+6=14 14.98

hope this helps :)

BRAINLY ANNND POINTS FOR RIGHT ANSWER AND STEP BY STEP

3r+4=qr-5p for r

Answers

Answer:

r = qr - 5p - 4

Step-by-step explanation:

3r + 4 = qr - 5p

Subtract:

3r = qr - 5p - 4

Divide:

r = qr - 5p - 4

somebody please help

Answers

Answer:

169

Step-by-step explanation:

13²

=169

What is the greatest common factor (GCF) of 36 and 64?

Answers

the GCF is 4
hope this helps! :)

The greatest common factor of 36 and 64 is 4.

Here,

To find the greatest common factor (GCF) of 36 and 64,

we can use the prime factorization method:

Step 1: Find the prime factorization of each number.

Prime factorization of 36:

36 = 2 * 2 * 3 * 3

Prime factorization of 64:

64 = 2 * 2 * 2 * 2 * 2 * 2

Step 2: Identify the common prime factors and their lowest exponents.

Common prime factors: 2 * 2

Step 3: Multiply the common prime factors with their lowest exponents.

GCF(36, 64) = 2 * 2 = 4

So, the greatest common factor of 36 and 64 is 4.

To learn more on GCF click:

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the table shows conversions of common units of length.


Unit of Length

Customary System Units

Metric System Units

1 inch

2.54 centimeters

1 foot

0.3048 meters

1 mile

1.61 kilometers


1 yard = 3 feet

1 yard = 36 inches


Which shows the best path to find the number of centimeters in 1 yard?

yards Right-arrow inches Right-arrow centimeters

yards Right-arrow feet Right-arrow centimeters

centimeters Right-arrow feet Right-arrow inches

centimeters Right-arrow feet Right-arrow yards

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Answer:

the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right

It's math Question i need Your help---)​

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Answer:

1no

125

2no

12.9

hope that this will help u

A possible reason for inaccurate measurement

Answers

Answer:

Random Errors. Random errors are ones that are easier to deal with because they cause the measurements to fluctuate around the true value. ...

Systematic Errors. ...

What Causes Measurement Errors? ...

Instrument Errors. ...

Calibration. ...

Instruments Getting Old. ...

Operator Errors. ...

Measurement Location Errors.

Step-by-step explanation:

can someone help me fill this out....​

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Answer:

Step-by-step explanation:

First Line:

0, 1//7, 2/7, 3/7, 4/7, 5/7, 6/7, 1, 8/7, 9/7, 10/7

Second Line:

-1/3, 0, 1/3, 1/2, 1, 4/3

Third Line:

0, 1/3, 2/3, 1, 4/3, 5/3, 2

ANSWER ASAP FOR BRAINLIESTT

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It was really fun 4639

Need help anyone know how to do this

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X Coordinate: (-3a + 3a)/2
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Y Coordinate: (b + b)/2
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In this case, the midpoint should be (0, b)

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Step-by-step explanation:

Treatment 1 consists of 40 people and 23 had improved health take 23 and divide it by 40 and you get 0.575 multiply that by 100 and you get 57% do the same for the second question and you get 0.416 multiply by 100 and you get 41%

his figure is made from part of a circle and part of a square.

Answers

Answer:

What?

Step-by-step explanation:

That was pretty deep

Evaluate: 5m when m=8
FAST AND HURRY!!

Answers

Answer:

40

Step-by-step explanation:

If m = 8, then you would multiply 5 by 8

So the answer is 40

Hope this helps :)

Answer:

5m when m = 8 is 40

Step-by-step explanation:

When you substitute (replace) m with 8, it becomes 5(8).

5(8) means 5 multiplied by 8, which gives you 40.

To check, dividing 40 by 5 is 8. Dividing 40 by 8 is 5.

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Answers

-8.8 because -50.16\5.7= -8.8

Answer:

–8.8°C

Step-by-step explanation:

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Answers

Answer:

y < 1/4x + 3

Step-by-step explanation:

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Answer:

y < [tex]\frac{1}{4}[/tex] x + 3

Step-by-step explanation:

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Cami starts with $7 and saves $13 each week.
Maggie starts with $11 and saves $13 each week. After how many weeks will Cami and Margaret have the same amount of
money?

Answers

Answer:

No matter how many weeks pass, they will never have the same amount of money. This is because their rate of change is the same. If Cami made more money per week than Maggie, then she would eventually be able to catch up and have the same amount of money as Maggie.

Why does the government issue only bonds, while companies issue both stocks and bonds?
a. The US government does not involve itself in the stock market because it does not want to risk
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Because the stock market is used as a form of gambling, the government refuses to associated
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Answers

Answer:

the answer is C

Step-by-step explanation:

Hence, option (C) is the correct answer.

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The term stock market refers to several exchanges in which shares of publicly held companies are bought and sold.

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Help me solve this please

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Answers

Answer:

x=-1

Step-by-step explanation:

Answer:

x=3/5 y=-2.5

Step-by-step explanation:

3x-2y=5, first find the x value which is 3x get rid of the 2y by during 2 times ,then 5/3 since you can't lower it down keep it 5/3, after is 2y same thing you did for 2y to get rid of it you will do 3x, now is 5/2 to get 2.5 or 5/2.

Sierra plays a hockey video game. She earns 5 stars for
every goal she scores and loses star every time she
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Answers

I cant give you the answer because you didn’t finish your question, however I can tell you she has at most 20 starts. 4 goals = 20 stars. Subtract the number of goals she missed and you will have your answer for the total number of goals.

Answer:

the answer is 16

Step-by-step explanation:

Identify the most precise name for the angle pair shown in the picture.​

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Answer:

I think its complementary

whoever can answer 2+ can get brainliest! i need help pleaseeee

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Answer:

1. The answer is 3 students

2. 3.8, or rounded, 3.5

3. 4 batches of brownies

4. 16/9, 1.80, or 1.78

Step-by-step explanation:

1. If you divide 1/4 by 15, that would equal 3.75. Since you can't have partial of a person XD you should round it back to 3.

2. If you divide 1/5 by 19, that would be 3.8.

3. If you divide 2/3 by 6, that would be 4.

4. 1/9 divided by 16 would be 16/9. As a decimal, it would be 1.777778. Rounded, it would be 1.80, or 1.78.

Hope this helps you!

Estimate by rounding both numbers to hundreds and then divide.
76 ÷ 57 is approximately

Answers

Answer:

80 / 60 = 1.3 approximately

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

76 → 10057 → 100Divide: 100 ÷ 100 = 1

I hope this helps!

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans? Enter the correct answer in the box.

Answers

Given:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.

In another shopping bag she has a 5-pound bag of flour.

The two shopping bags weigh the same amount.

To find:

The weight of each bag of dried beans.

Solution:

Let x be the weight of each bag of dried beans.

So, weight of 6 bags of dried beans = 6x.

According to the question,

Weight of first bag = (6x + 2) pounds

Weight of second bag = 5 pounds

The two shopping bags weigh the same amount. So,

[tex]6x+2=5[/tex]

[tex]6x=5-2[/tex]

[tex]6x=3[/tex]

Divide both sides by 6.

[tex]x=\dfrac{3}{6}[/tex]

[tex]x=0.5[/tex]

Therefore, the weight of each bag of dried beans is 0.5 pounds.

The weight of each bag of dried beans is 0.5 pounds.

Given that,

Mrs. Kato has 6 bags of dried beans i.e. 6x and a 2-pound bag of rice in one shopping bag.In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount.

Based on the above information, the calculation is as follows:

6x + 2 = 5

6x = 5 -2

6x = 3

x = 0.5

Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.

Learn more: brainly.com/question/24169758

Assume that y varies directly with x. If y= 2/5 when x= 1/3, find y when x = 1/4

Answers

Step-by-step explanation:

y1/x1=y2/x2

2/5÷1/3=y÷1/4

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im high & kinda slow help out .

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Answer:

In google

Step-by-step explanation:

Is all

Simplify 2 x × − 3 x × − x

Answers

Answer:

[tex]\huge\boxed{2x^x-3x^x-x=-x^x-x}[/tex]

Step-by-step explanation:

[tex]2x^x-3x^x-x=(2-3)x^x-x=-x^x-x[/tex]

A fruit punch recipe call for 30 cups of orange juice and 18 cups of pineapple juice. If you only have 1 cup of orange juice, how many cups of pineapple should you use.

Answers

Answer:

You should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

Step-by-step explanation:

With the information provided about the recipe, you can use a rule of three to find the cups of pineapple you should use if you only have 1 cup of orange juice given that the recipe calls for 30 cups of orange juice and 18 cups of pineapple juice:

30 cups of orange juice → 18 cups of pineapple juice

 1 cup of orange juice    →                    x

x=(1*18)/30=0.6 cups of pineapple juice

According to this, the answer is that you should use 0.6 cups of pineapple juice if you only have 1 cup of orange juice.

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