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 (in feet) of a second hockey puck is modeled by y=x(0.15−0.001x), where x is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.

Answers

Answer 1

The total distance travelled by the first and second hockey pucks before hitting the ground is 110 feet and 150 feet, respectively.

We are given that there are two hockey pucks.The height of the first hockey puck increases until it reaches a maximum height of 3 feet when it is 55 feet away from the player.This hockey puck will travel an additional 55 feet after it reaches its maximum height before it hits the ground.The total distance travelled by the first hockey puck before hitting the ground is 110 feet.The height y (in feet) of the second hockey puck is modelled by y=x(0.15−0.001x), where x is the horizontal distance (in feet).When it hits the ground, its height will be zero.0 = x(0.15−0.001x)x(0.15−0.001x) = 0A value of "x" is 0 when it is just hit by the player.When it hits the ground, the value of "x" is :0.15−0.001x = 00.001x = 0.15x = 150The total distance travelled by the second hockey puck before hitting the ground is 150 feet.

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Related Questions

hiw many 2/3 are in 2 1/3​

Answers

Answer:

3.5

Step-by-step explanation:

2 1/3 is equal to 7/3 and 2 goes into 7, 3.5 times.

Answer:

there are 3   2/3 in 2 1/3  with 1/3 left over

Step-by-step explanation:

Hope this helps.

Have a nice day :)

Can you give me brainliest plz :)

Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all possible answers.

Answers

Answer:

M(1)

Step-by-step explanation:

(Please see the attached picture to better visualize the number line)

What we know:

- Point A is at -1.5 on the number line

- Point B is at 6 on the number line

- AM:MB=1:2

From the ratio, we automatically know that point M is in between point A and point B on the number line. In other words, point M is greater than -1.5 but less than 6. (-1.5<m<6). We also learn from the ratio that if the distance between point A and point B is divided into thirds, AM would take up one of those thirds and MB would take up two of those thirds.

1. Find the distance between point A(-1.5) and point B(6)

6-(-1.5)

= 6+1.5

= 7.5

2. Divide this distance into thirds

7.5/3

= 2.5

Now, we know that one third of the distance between AM and BM is 2.5.

3. Add 2.5 to point A(-1.5) to find point M (please refer to the picture attached)

-1.5+2.5

= 1

I hope this helps! Please comment if you have any questions.

A bottle that contains hand sanitizer is in the shape of a pyramid with a rectangular base. The length of the base is 2 inches, and
the height of the bottle is 6 inches. Suppose the volume of the bottle is 24 in?. Calculate the width of the base of the bottle.
A)
1 inch
B)
3 inches
4 inches
D)
6 inches

Answers

Answer:answer 4

Step-by-step explanation: multiply each answer choose an dit leaves 6 time four is 24

Write the ratio as a unit rate. Simplify. 216 diving student and 12 instructor

Answers

Answer:

Ratio students to classroom in school A equals 216:12 which simplifies to 18:1. Ratio students to classroom in school B equals 104:4 which simplifies to 26:1.Total students combining school A and B equals 216+104=320 and Total classroom 12+4=16, if both school combined are assumed to be a single school C, than ratio of of students to the classroom in school C equals 320:16 which simplifies to 20:1 which means 20 students in every classroom, now total students in 4 classroom of School C equals 20x4=80, these 4 classroom are separated as School B and other 12 classroom School A, now ratio still 20:1 (same in both schools). initially students in School B were 104 and now are 80, then total students transferred equals 104-80= 24.

Find the value of x.

Answers

Answer:

20

Step-by-step explanation:

angles on a straight line

(x+20)+7x

open bracket

8x +20 = 180

collect like terms

8x= 180-20

8x=160x

x=160/8

x =20

4 less than a number n is −15.


Answers

Answer:

n-4= -15

Step-by-step explanation:

"4 less than a number n" is represented by n-4.

it says it "is" -15, so this equals -15.

n-4= -15

You own your own bakery. In the cooler you have 3 chocolate cakes and 4 vanilla cakes. In the warmer you have 1 pumpkin pie, 5 apple pies and 3 blueberry pies. What is the ratio of pies to cake you have available?

Answers

Answer: You have 9 cakes for every 7 cakes. I hope this helps!

Explanation: You add up everything on both sides to get your answer!

Answer: yes and it is yes sisiwfereffffffffffffr

write the prodect 7 times 7 times 7 times 7 in exponential form

Answers

Answer: 7⁴ I believe

You buy 3.18 pounds of pears, 1.45 pounds of oranges , and 2.79 pounds of peaches what is your total bill
pears-0.99 per pound
oranges-1.19 per pound
peaches-1.29 per pound (round to the nearest cent)

Answers

Answ32fn333w3243333

Step-by-step explanation:

euefuehgegwhed

This is due soon solve asap please.

Answers

Answer:

Home to school through mall: 11 miles

Home to school through theater: 13 miles

Step-by-step explanation:

The route from home to school that passes the mall is x + 1 + x + 2 = 2x + 3.

The route from home to school that passes the theater is 2x + 1 + x = 3x + 1.

The route from home to school that passes the mall is 2 miles shorter than the route that passes by the theater.

2x + 3 = 3x + 1 - 2

2x + 3 = 3x - 1

-x = -4

x = 4

Home to school through mall:

2x + 3 = 2(4) + 3 = 11

Home to school through theater:

3x + 1 = 3(4) + 1 = 13

Answer:

Home to school through mall: 11 miles

Home to school through theater: 13 miles

The measure of an angle is seventy-four times the measure of its supplementary angle. What is the measure of each angle?

Answers

x = measure of the angle

180 - x = measure of supplement {supplementary angles add up to 180}

x = 74(180 - x) {measure of the angle is 174 times the supplement}

x = 13,320 - 74x {used distributive property}

75x = 13,320 {added 74x to each side}

x = 177.6 {divided each side by 177.6}

the angle is 177.6

the supplement is 2.4

6.) The length of a rectangle is 19 feet longer than the width. If the perimeter is 46
feet, write an equation for this scenario where "x" represents the width.

Answers

Step-by-step explanation:

The perimeter can be expressed as

P=2L+2W

let the width be x

W=x

L=x+19

perimeter P=46ft

Therefore substituting and solving for x we have

46=2(x+19)+2x

46=2x+38+2x

46=2x+2x+38

46-38=4x

8=4x

x=8/4

x=2

the width is 2

the lenght = 2+19=21

Double click in the red boxes to fill in your answers!
Domain:
Range:
Local Relative Min:
Local Relative Max
Global Absolute Min:
GlobalAbsolute Max
Increasing intervals:
Decreasing Intervals:
x-intercepts:
y-intercepts:
End Behavior
LEFT: NONE
RIGHT: X - Y -

Answers

Answer:

More information or the graph your talking about is needed to answer this

Step-by-step explanation:

how to solve this problem 3x+5=2x+1

Answers

Answer:

Step-by-step explanation:

Simplifying

3x + 5 = 2x + 1

Reorder the terms:

5 + 3x = 2x + 1

Reorder the terms:

5 + 3x = 1 + 2x

Solving

5 + 3x = 1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

5 + 3x + -2x = 1 + 2x + -2x

Combine like terms: 3x + -2x = 1x

5 + 1x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0

5 + 1x = 1 + 0

5 + 1x = 1

Add '-5' to each side of the equation.

5 + -5 + 1x = 1 + -5

Combine like terms: 5 + -5 = 0

0 + 1x = 1 + -5

1x = 1 + -5

Combine like terms: 1 + -5 = -4

1x = -4

Divide each side by '1'.

x = -4

Simplifying

x = -4

Answer:

x = -4

Step-by-step explanation:

To solve the given equation, we must find a value of x that satisfies the equation.

3x + 5 = 2x + 1

Subtract 2x from both sides.

x + 5 = 1

Subtract 5 from both sides.

x = -4

So the value of x that satisfies the equation is -4. So the solution to the equation would be x = -4.

I hope you find my answer and explanation to be helpful. Happy studying.

Help! Please. I don’t know what to do. I got this wrong.

Answers

Answer: 2/5 40%

Step-by-step explanation:

Solve for the variable: x – 12 = 3

Answers

Answer:

x=15

Step-by-step explanation:

add the 12 to the other side

x-12=3

and you will get 15

x=15

What is the mean of 5, -15, 7, -13, 1

Answers

Answer:

-3

Step-by-step explanation:

Add them all up and then divide by 5

The answer is -3 add them all up and divide them by five

there are 11 oranges, 6 apples, 9 bananas and 13 peaches on the table, what is the probability picking an orange

Answers

Answer:

11 out of 39

Step-by-step explanation:

Answer:

\frac{11}{39}

39

11

Step-by-step explanation:

There are 39 fruits in all.

11 + 6 + 9 + 13= 3911+6+9+13=39

Therefore, there would be 39 total events.

There are 11 preferred events, as there are eleven oranges out of the 39 fruits.

\frac{preferred}{total} =\frac{11}{39}

total

preferred

=

39

11

So, there should be a 11/39 chance that a person would pick an orange.

\frac{11}{39}

39

11

is already in it's lowest terms

Find the value of x.

(9x + 1)
(11x – 23)

Answers

the answer to the question is x=12

How is 24/27 written as a fraction

Answers

24/27 = (24 ÷ 3)/(27 ÷ 3) = 8/9

Answer:

twenty-four and twenty-sevenths

Step-by-step explanation:

The force exerted by a pulley is the sum of the tension and the force of gravity. Since a pulley is used to lift something, the force is negative. The tables show the tension, T(m), and the force of gravity, G(m), for objects of various masses, m in grams, all accelerating upward at 2.5 m/s2.
The force of the rope is equal to the negative of the tension on the rope and the force of gravity.
Which table shows the values when combining the functions to find the force of the rope?

Answers

Answer:

B

Step-by-step explanation:

To answer this question, we can just pick a couple of points and see which table gives the correct values.

Test Value 1)

Let's let m be 0.5.

So, our output will be:

[tex]-(T(0.5)+G(0.5))[/tex]

From our original tables, we know that T(0.5) is 1.25 and G(0.5) is 4.9. So:

[tex]=-(1.25+4.9)[/tex]

Add:

[tex]=-6.15[/tex]

So, when m is 0.5, our output should be -6.15.

The only choice that does this is B. So, B is our correct answer!

However, let's do another test point just to confirm.

Test Value 2)

Let's let m be 1.2.

So, our output will be:

[tex]-(T(1.2)+G(1.2))[/tex]

From our original table, we know that T(1.2) is 3 and G(1.2) is 11.76. So:

[tex]=-(3+11.76)[/tex]

Add:

[tex]=-14.76[/tex]

The only choice that does this is B. So, we are confident that B is our answer.

And we're done!

Answer:

B

Step-by-step explanation:

The length of a rectangular garden is 5 feet less than 4 times its width. Its area is 359 square feet. Find the length and width of the garden. Round answers to the nearest tenth of a foot. Show all work.

Answers

Given parameters:

Area of the rectangular garden  = 359ft²

Unknown:

length and width of the garden  = ?

To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.

 Area of a rectangle  = Length x Breadth

From the problem statement;

 Let w = width of the rectangular garden

        L = length of the garden;

 Now,

          length of a rectangular garden is 5 feet less than 4 times its width

           L = 4w - 5

Now let us substitute this into the equation;

       Area  = L x w

    359 = (4w - 5)w

           4w² - 5w - 359

Using:

          w = -b ± √b² -  4ac  /  2a

 where b  = -5 , a  = 4  and c = -359

  w  =   -(-5)  ± √-5² - 4(4)(-359)  /  2(4)

 w = 5 ± √25 + 5744 / 8

 w =  5 ± 75.9 / 8

 w  = [tex]\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}[/tex]

  w  = 10.1ft

 The other solution is not possible it will be a negative value. Width value cannot be negative.

So L = 4w - 5  = 4(10.1) - 5 = 35.5ft

The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.

На сколько процентов уменьшится объем прямоугольного параллелепипеда, если его длину уменьшить на 25%, а ширину и высоту на 20%?

Answers

Answer:

I dunno what your saying.

Step-by-step explanation:

Please us English

A) 7.746
B) 37.947
C) 30.984
D) 33.941

Answers

9514 1404 393

Answer:

  B) 37.947

Step-by-step explanation:

Using the given formula, we find ...

  s = (12 +11 +7)/2 = 15

  A = √(15(15 -12)(15 -11)(15 -7)) = √1440 = 12√10 ≈ 37.947 . . . square yards

2x4–5x3+x2+3x+2 for: x=-5

Answers

Answer:

667

Step-by-step explanation:

2x^4–5x^3+x^2+3x+2

2(5)^4 -5(5)3+5^2+3*5+2

2*625 - 5*125+25+15+2

1250-625+25+15+2

625+42

667

If you need to divide 2/3 by 4/5 , why is it easier to use an equation than to use a model

Answers

Now you see when you use a model it is harder kepause........

Graph the inequality: y​

Answers

pe is huffy gycufinbb

Isabel bought a suit on sale for $561. This price was 34% less than the original price.
What was the original price?

Answers

Answer:

751.74

Step-by-step explanation:

561*.34=190.74

561+190.74=751.74

Answer

The suit being 27% less than the original also means he paid 73% of the original price (x). So,

0.73x=561

x=561/0.73

x=409.53

Original price was 409.53. Fancy suit. Step-by-step explanation:

there you go...

WHAT DOES HIT IT FROM THE BACK MEAN?​

Answers

Step-by-step explanation:

hit the what now . wut that ;-;

Ratio of dolls to teddy bears is 6:5. There are 240 dolls, how many teddy bears?

Answers

Answer:

nusfj

Step-by-step explanation:

fsdafsf

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