A hockey player strikes a hockey puck. The height of the puck increases until it reaches and 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

Answer:

Distance traveled by hockey puck of second player is 40 feet more than that of first player.

Step-by-step explanation:

Maximum height of 3 feet is attained by the hockey puck of first player is when the puck is 55 feet away from the player.

It is at the mid point of the total horizontal distance to be traveled by the hockey puck.

So, the horizontal distance traveled by hockey puck of first player = 55 + 55 = 110 feet

Second player:

[tex]y=x(0.15-0.001x)[/tex]

where [tex]y[/tex] is the height of a second hockey puck

[tex]x[/tex] is the horizontal distance.

When the puck hits the ground, [tex]y=0[/tex]

Now, let us find the value of [tex]x[/tex].

[tex]\Rightarrow 0=x(0.15-0.001x)[/tex]

At [tex]x=0[/tex] feet or [tex]x=150[/tex] feet, [tex]y=0[/tex]

Therefore, the distance traveled by second hockey puck is 150 feet.

So, the answer is:

Distance traveled by hockey puck of second player is 40 feet more than that of first player.


Related Questions

Find the value of x. 2(3x - 5) = 8

Answers

Answer:

3

Step-by-step explanation:

2(3x - 5) =8

6x - 10 =8

6x =8 +10

6x =18

x=18 :6

x=3

Other than 1, what are the perfect square factors for 792? From least to greatest.

Answers

Answer:

4 and 36

Step-by-step explanation:

Perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81

Dividing 792 by these perfect squares results the integer (only) quotients

                                 792 (792 divided by 1)

                                 198 (792 divided by 4

                                   22 (792 divided by 36

                                       

The perfect square factors of  792 are, in ascending order, 4 and 36.

From least to greatest, the perfect square factors of 792 are 4, 9 and 36.

Perfect squares are those that are acquired when an integer multiplies itself. For instance, 4 is a perfect square that is a result of 2 multiplying itself.

Other perfect factors include:

4 → 9 → 16 → 25 → 36 → 49 → 64 → 81 → 100 → 121 → 144 → 169 → 196 → 225 → 256 → 289 → 324 → 361

The factors of 792 are attached to this answer.

The perfect squares that are also factors of 792 are:

4 , 9 and 36

In conclusion, 792 has perfect factors of 4, 9 and 36

Find out more at https://brainly.com/question/1826760.

fidn the slope of the line.,,,,,free brainliest to who answers first

Answers

Answer:

do I get brainliest?

Step-by-step explanation:

cause you said you'd give brainliest

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ This question is highly inappropriate!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

What is the probability that both spinners land on red or orange?

A) 1/9
B) 1/3
C) 4/9
D) 2/9​

Answers

Answer:

A, the probability is 1/9. you get this because you multiply the probabilities

in this example its 1/3 times 1/3 so you get 1/9

Step-by-step explanation:

Which are alternate interior angles?

Answers

Answer:

Angle MNQ and Angle RQN

Step-by-step explanation:

Please help my answering this hurryy

Answers

Answer:

where is the question i do not see a question but if you provide me with one i will be more than happy to help you!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It is A because A can type 50 words in a minute and B only types 40 words in a minute and 50 words > 40 words

-p(51+z) = Dz+84
Z=?

Answers

Answer:

[tex]z=\frac{3 (28 + 17p)}{p + D}[/tex]

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

arrange in ascending order
31/40;78%;0,7

Answers

Ascending order (smallest time biggest)
0.7 = 70%
31/40 = 77.5%
78% = 78%
Hope this is what you were looking for...

An infinite geometric series contains consecutive terms 262.4, 209.92, 167.963 and the sum is 1640. What is the first term?​

Answers

Answer:

328

Step-by-step explanation:

[tex]\frac{a}{1-r}[/tex] is the equation for the sum of an infinite geometric series, where [tex]a[/tex] is the first term of the infinite geometric series, and r is the common ratio between the terms. Here, we can find the common ratio between any consecutive terms. [tex]\frac{209.92}{262.4} = \frac{4}{5}[/tex]

Therefore, [tex]\frac{a}{1-\frac{4}{5}} = 1640[/tex].

This simplifies to [tex]5a = 1640[/tex]

Therefore, [tex]a = 328[/tex]

Determine if 0.515115111511115111115... is rational or irrational and give
reason for your answer.

Answers

it’s rational, for a number to be rational you have to be able to write it as a fraction and you can write 0.515115111511115111115... as a fraction.

The number  0.515115111511115111115... is a irrational number .

What are rational numbers?

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number,

Rational numbers are finite and repeating decimals

0.888888 is a rational number because it is recurring in nature.

What are irrational numbers?

Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios. Ex: π, √2, e, √5

Irrational numbers are infinite and non-repeating.

0.21211211 is an irrational number as it is non-recurring and non terminating in nature.

According to the question

Number = 0.515115111511115111115...  

Now,

The number is non - terminating and non recurring that imply it is a irrational number .

Hence, The number  0.515115111511115111115... is a irrational number .

To know more rational and irrational numbers  here:

https://brainly.com/question/17450097

#SPJ2

Which graph best represent the solution to this system of inequalities? 2x ≤ y – 1
2x – 5y ≤ 10

Answers

we can’t really answer the question because we need to see the graph but I tried doing my research and it’s maybe A

the price of a share of stock was $23 on Monday and $19 on Tuesday. what is the difference in price of those two days. write an integer represent the change in price of the stock

Answers

Answer:

.

Step-by-step explanation:

M(5.9) is the midpoint ofRS. The coordinates of Sare (6,8). What are the coordinates of R?

Answers

coordinates of R (4,10)

•————•————•
(?,?) (5,9) (6,8)

You have to see how the x & y changed from point M to S and do the same thing for point R to M


M S
(5,9) >>>> (6,8) (x+1, y-1)

R M
(4, 10) >>>> (5,9) (x+1, y-1)

96% of all air travel departs on time. If you are taking 3 flights in one day, what is the probability that all of them depart on time?

Answers

Answer:  0.884736

Step-by-step explanation:

Given: The proportion of all air travel departs on time: p= 0.96

Total flights : n= 3

Let x be the number of flights on time.

As there are two cases either flight on time or not, so it is a binomial case.

Binomial distribution formula: [tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]

The probability that all of them depart on time = [tex]P(X=3)=\ ^3C_3(0.96)^3(1-0.96)^0=(1)(0.96)^3=0.884736[/tex]

The probability that all of them depart on time = 0.884736

Rewrite the equation in the form (x−p)2=q. 0=x2-16x+26

Answers

Answer:

(x - 8)² = 38

Step-by-step explanation:

Given

x² - 16x + 26 = 0 ( subtract 26 from both sides )

x² - 16x = - 26

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 8)x + 64 = - 26 + 64

(x - 8)² = 38 ← as required

whats 4 3/4 times 3 4/5

Answers

Answer:

361/20

Step-by-step explanation:


Six identical circles fit inside the rectangle as shown below. If the rectangle has a width of 15
units and a height of 10 units, what is the radius of each circle?

Answers

Answer:

The radius of each circle is 2.5 units

Step-by-step explanation:

Width of the rectangle = 15 units

Height of the rectangle = 10 units

6 identical circles fit inside the rectangle,

Two circles fit along the height of the rectangle.

Therefore, diameter of both the circles = Height of the rectangle

2d = 10

d = 5

Since, radius of a circle = [tex]\frac{\text{Diameter}}{2}[/tex]

                                       = [tex]\frac{5}{2}[/tex]

                                       = 25. units

Therefore, Option (4) will be the correct option.

Learn more,

https://brainly.com/question/20188113

What is the rise and run of the line D

PLEASE HELPPPP ANSWER this QUESTION WITH PROPER EXPLAINATIONNNN BRainliest will be givennn

Answers

Answer:

rise: 1

run: 2

rise over run 1/2

Step-by-step explanation:

to find slope move up one over 2 to the left

What set of reflections would carry triangle ABC onto itself?

Answers

Answer:

B

Step-by-step explanation:

A is on the x axis

B is on the y axis

C is on the x axis

b, b is on the y axis

After a hurricane, the Johnsons had 6 inches of water in their basement that was being pumped out at a rate of 1 inch per hour. The Grahams had 10 inches of water in their basement being pumped out at a rate of 2 inches per hour. Write an inequality that can be used to determine the number of hours it will for the water level in the Grahams’ basement to be equal to or less than the Johnsons’.

Answers

Answer:

6>5

Step-by-step explanation:

I know it is true

URGENT!!
1. Given the equation 3x – 4y = 24.
a) Find two solutions to the equation. Write your answer as coordinates.





b) Using your answers from part a, what is the slope of the given equation.





c) Convert the given equation into slope-intercept form.

Answers

Answer:

(0, -6) and (8, 0)

[tex]\dfrac{4}{3}[/tex]

[tex]y=\dfrac{3}{4}-6[/tex]

Step-by-step explanation:

(a) [tex]3x-4y=24[/tex]

Let [tex]x=0[/tex]

[tex]0-4y=24\\\Rightarrow y=-6[/tex]

Let [tex]y=0[/tex]

[tex]3x-0=24\\\Rightarrow x=8[/tex]

Two coordinates are (0, -6) and (8, 0)

(b) Slope is given by

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\Rightarrow m=\dfrac{0-(-6)}{8-0}\\\Rightarrow m=\dfrac{3}{4}[/tex]

The slope of the equation is [tex]\dfrac{4}{3}[/tex]

(c)

[tex]3x-4y=24\\\Rightarrow 4y=3x-24\\\Rightarrow y=\dfrac{3}{4}-6[/tex]

The slope intercept form of the equation is [tex]y=\dfrac{3}{4}-6[/tex]

please help At a bake sale there were 50 items sold total. If 5 of the items sold were cookies and the rest were brownies what is the ratio of brownies sold to cookies sold?

Answers

Answer:

45:5 or 45 to 5

Step-by-step explanation:

If 5 of them were cookies then that leaves the rest of them (which is 45) to be brownies. So it would be brownies to cookies which equals 45:5

pLeAsE hElP
ASAPPP
:/
*Will give 25 points and Brainliest...*

Answers

Step-by-step explanation:

I agree with Trevon because the number and letters are used in different forms but can probably be solved in the same way

Which statement about proportional relationships is false?
3
A proportional relationship must graph as a line.
O A graph of a proportional relationship must pass through (0,0).
Each point (or pair) in a proportional relationship must share the same ratio.
Each point (or pair) in a proportional relationship must share the same difference.

Answers

Answer: This is my opinion but I think it’s D ;)

Step-by-step explanation:

I just took the quiz it’s right !

which is a y intercept of the graphed function​

Answers

Answer:

-9

Step-by-step explanation: It crosses the y axis. A y intercept is in when the x axis is 0. So the point would be (0,-9).

-3 1/2 - 15/6 helpppppppppp

Answers

answer: will be -6 to that question

Which of the following correctly expresses the number below in scientific notation? 0.0000899

Answers

Answer:

10^5 times 8.99

Step-by-step explanation:

Please please answer quick I really need them by tonight it’s 3 equations just click on the pick and you will see all 3 equations.

Answers

1st: 775

3(5)^3 + (4*5)^2 = 775

Graph (1,1), (1,2), (1,3), (1,4)

Answers

Answer:

There is not a way that I can show you how to graph it, so I will try and explain it.

Step-by-step explanation:

(1,1)

^  ^     y-axis

x-axis

You are just going right however many, and then up however many it says.

So if it's (1,1) you will go right one space, and then up one space.

Once you have all of your points on the graph, you put a line through them.

Hope this helps! :)

Are all perfect cubes also multiples of 3?
Are all multiples of 3 also perfect cubes?

Answers

Answer:

See below

Step-by-step explanation:

I'm not positive that this is right, but I'll try.

No, and no. 6 is not a perfect cube, and that is a multiple of 3.

8 is a perfect cube that is not a multiple of three.

I hope this helps, sorry if I'm wrong.

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