A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet away from the player. The height $y$y​ (in feet) of a second hockey puck is modeled by $y=x\left(0.15-0.001x\right)$y=x(0.15−0.001x)​ , where x$x$x​ is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.

Answers

Answer 1

Answer:

The maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels further  

Also the distance of the maximum height of first pluck from the player is less than the distance of the second pluck from the player hence the second pluck travels further

Step-by-step explanation:

From the question we are told that

  The maximum height of the first pluck is  [tex]h_1 = 3 \ ft[/tex]

   The height of the second height is mathematically represented as

              [tex]$y=x\left(0.15-0.001x\right)[/tex]

=>           [tex]y=0.15x -0.001x^2[/tex]

Generally at maximum height  [tex]y' = 0[/tex]

So

      [tex]y'=0.15 -0.002 x = 0[/tex]

=>    [tex]x =  75 \  ft [/tex]

Here 75 ft is the horizontal distance the second pluck traveled at maximum height

   So the maximum height of the second pluck is mathematically represented as

       [tex]y=0.15(75) -0.001(75)^2[/tex]

=>     [tex]y=  5.625 \  ft [/tex]  

So comparing the maximum height  of the first and the second pluck we see that the maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels father


Related Questions

Helen borrowed $8,000 from her grandfather to pay for college. Five years later, she paid him back the $8,000 and an interest of $1,200. What was the annual interest rate?

Answers

Answer:

3%

Step-by-step explanation:

No explanation

Evaluate each of the following expressions for
a = -2 and b = -10
1. ab


Answers

answer: 20
Explanation: it’s 20 because when 2 variables are together it automatically multiples and when you have 2 negatives they become positives

Find f(-5) if f(x) = |x + 1|.
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B)5
C)4

Answers

The answer would be C)5

what is 3600x0+1=2?
thanks i appreciate it

Answers

Answer:

actually it = 1 but there's your answrr

Step-by-step explanation:

3600x0 = 0

0+1=1

What is equivalent to

Answers

The answer is 3 with a little 7. Alternatively 2187

carlos read 40 pages of a book in 50 minutes. how many pages should he be able to read in 80 minutes​

Answers

Answer:

70

Step-by-step explanation

Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75 degrees. At the intersection of lines b and e, the uppercase right angle is 115 degrees. At the intersection of lines a and f, the bottom right angle is 75 degrees.

Which lines are parallel? Justify your answer.


Lines a and b are parallel because their alternate exterior angles are congruent.

Lines a and b are parallel because their same side exterior angles are supplementary.

Lines e and f are parallel because their alternate exterior angles are congruent.

Lines e and f are parallel because their same side exterior angles are congruent.

Answers

Lines e and f are parallel because their alternate exterior angle is congruent. Option C is correct.

Find the diagram attached;

The point where two lines meet is known as an angle.

From the given diagram, we can see that the angle of 75 degrees is at the top left corner is similar to the 75 degrees down right.

Hence we can conclude that lines e and f are parallel because their alternate exterior angle is congruent.

Learn more here: https://brainly.com/question/11397920

Answer: Option 3 or C. Lines e and f are parallel because their alternate exterior angles are congruent.

Step-by-step explanation: The correct answer is C.  

I got it right on the Edge 2022 quiz. Trust me the proof is shown below.

Which statement about residual plots is not true?


A. if the residuals are randomly distributed, the model is probably reasonable


B. The sum of the residuals is 0


C. The vertical axis shows residuals


D. The horizontal axis shows the predicted y-values

Answers

Answer:

The horizontal axis shows the predicted y-values.

Step-by-step explanation:

The person above me is dumb, he's cancelled.

Answer:

D

Step-by-step explanation:

Which of the following fraction pairs are equivalent fractions? *
a. 1⁄4 and 1⁄2
b. 1⁄4 and 3⁄4
c. 1⁄4 and 4⁄12
d. 1⁄4 and 8⁄32

Answers

Answer:

D. 1/4 and 8/32

Step-by-step explanation:

its d because if you simplify 8/32 you get 1/4

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Answers

Answer:

m<PAT = 41°

m<TAY = 41°

Which graph matches the following inequality: y<-2/5x+1?

Answers

Answer: B is the answer

Step-by-step explanation:

Can somebody help me plz with this math problem!!

Answers

Answer:

Step-by-step explanation:

.

Answer:

thxxxxxxxxxx for the points

Step-by-step explanation:

ASAP 50 POINTS Which expression is a sum of cubes? -64x6y12+125x16y3 -32x6y12+125x16y3 32x6y12+125x9y3 64x6y12+125x9y3

Answers

Answer:

64x6y12+125x9y3 I think. Hope this helps

Answer:

The answer is D

64x6y12+125x9y3

Step-by-step explanation:

Youre welcome

What If? If the teacher always launches the ball with the speed found in part (a), what is the minimum angle (in degrees above the horizontal) at which he can launch the ball and still clear the playground railing? (Hint: You may need to use the trigonometric identity sec2(θ) = 1 + tan2(θ).)

Answers

9514 1404 393

Answer:

  43.303°

Step-by-step explanation:

Problem geometry varies. For this question, we will assume ...

The ball is launched at a 53° angle, 24 m from a buildingThe ball takes 2.20 seconds to reach the buildingThe railing is 6.4 m high

The equation of motion in this case is ...

  h(x, α) = x(tan(α) -4.9x/(v·cos(α))²)

where h(x) = height at distance x, α is the launch angle, vₓ is the horizontal speed of the ball.

__

The ball was launched at an angle of 53° in part (a) at a speed that gives it a horizontal speed of (24 m)/(2.2 s). That is, the speed in the direction of launch is ...

  (24 m)/(2.2 s)/cos(53°) ≈ 18.126983 m/s . . . . speed in part (a)

__

For the question at hand, we need to find α such that ...

  h(24) = 6.4

Substituting into the above equation gives ...

  6.4 = 24(tan(α) -24(4.9/18.126983^2·sec(α)^2)

  6.4 = 24(tan(α) -0.35789551(tan(α)^2 +1)) . . . . replacing sec(α) using hint

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  8.5894922·z^2 -24z +14.989492 = 0

Then the minimum solution (by the quadratic formula) is ...

  z = (24 -√(24^2 -4(8.5894922)(14.989492)))/(2·8.5894922)

  z = 0.94244774

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  α = arctan(z) = arctan(0.94244774) ≈ 43.303°

The teacher must launch the ball at an angle of at least 43.3° to clear the railing.

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C.
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Answers

Answer: its 2/6 is the answer the choices don't make cense

Step-by-step explanation:

Write the equation of the parabola in vertex form.
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Answers

Answer:

              [tex]\boxed{\bold{y=-5(x-4)^2+1}}[/tex]

Step-by-step explanation:

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[tex]y=-5(x-4)^2+1[/tex]

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Answers

Answer:29

Step-by-step explanation:$25-$46=-21

-21+50=29

$29

25-46=-21
-21+50=29

What is the temperature displayed on the thermometer?

Answers

Your Answer :

98.6°F (37°C).

Step - By - Step Explanation :

Your normal body temperature should be around 98.6°F (37°C). If you have a temperature that is over than 100.4°F (37.2°C), then you should see your doctor preferably soon.

Note :

I am sorry if this is the wrong answer to your question. Your query did not have an image to display the temperature on the thermometer nor did your query have any further context for us to examine.

Good luck on your homework and have a great day.

Feel free to comment on my answer if you have any further questions.

Answer:

25

Step-by-step explanation:

It's Correct On Edge As Well :P

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Answers

I could solve for a and it said this:

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All real numbers

Interval Notation:

(−∞,∞)

But I can solve for W and B

W  =  2b

b = W/2

a = I could solve for a and they put the answer to this (−∞,∞)

The princiole labeled some of the marks on the four thermometers with dollar amounts. Decide what labels belong on the remaining marks​

Answers

Answer:

hmm lets see

Step-by-step explanation:

Vincent counts 30 dimes and 87 pennies in a bowl. How many more pennies
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Answers

Answer:

57

Step-by-step explanation:

87-30=57. That means that there are 57 more pennies than dimes in the bowl.

Answer:

subtract 30 from 87

Step-by-step explanation:

87-30

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Answers

Answer:
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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

sin = opp/hyp

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C

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Answers

Answer:

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Answers

Answer:

6 hours

Step-by-step explanation:

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Answers

Answer:

The value of x in the problem is 1.

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Answers

Answer:

x = 154/13

Step-by-step explanation:

You are given the measures of all three angles in a triangle

so according to the Triangle Sum Theorem:

∠MNO + ∠OMN + ∠NOP = 180

1. Substitute the measures of the angles into the equation:

(3x + 11) + (2x + 20) + (8x - 5) = 180

2. Combine like terms:

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3. Isolate x by subtratcing 26 from both sides

13x + 26 -26 = 180 -26

13x  = 154

4. Solve for x by dividing both sides by 13

13x/13 = 154/13

x = 154/13

у = 2х - 5
Х
у

0
1
2
3
4

Answers

Answer:2x-5= -10

If that was what you mean.

Step-by-step explanation:

Answer:

y = -5

y = -3

y = -1

y = 1

y = 3

Step-by-step explanation:

Write 3.19×10−2 in standard form.

Answers

Answer:

It is already in standard form

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