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zhuklara [117]
3 years ago
15

A hockey player strikes a hockey puck. The height of the puck increases until it reaches and maximum height of 3 feet, 55 feet a

way 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.
Mathematics
1 answer:
Aliun [14]3 years ago
6 0

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:

y=x(0.15-0.001x)

where y is the height of a second hockey puck

x is the horizontal distance.

When the puck hits the ground, y=0

Now, let us find the value of x.

\Rightarrow 0=x(0.15-0.001x)

At x=0 feet or x=150 feet, y=0

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

So, the answer is:

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

<em></em>

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3 1/2 - 1 1/3 x x= 1
slamgirl [31]

Answer:

The value of x for the given expression is \frac{15}{8}

Step-by-step explanation:

Given as :

<u>The expression is written </u>

3\dfrac{1}{2} - 1\dfrac{1}{3} × x = 1

Or, 1\dfrac{1}{3} × x = 3\dfrac{1}{2} - 1

Or, \frac{(1\times 3) + 1}{3} × x = \frac{(3\times 2) + 1}{2} - 1

Or, \dfrac{4}{3} × x = \dfrac{7}{2} - 1

Or,  \dfrac{4}{3} × x = \dfrac{7-2}{2}

Or, \dfrac{4}{3} × x = \dfrac{5}{2}

∴ x = \frac{\frac{5}{2}}{\frac{4}{3}}

Or, x = \frac{5\times 3}{2\times 4}

I.e x = \frac{15}{8}

So, The value of x = \frac{15}{8}

Hence The value of x for the given expression is \frac{15}{8} Answer

6 0
3 years ago
A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars,
lesantik [10]

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = x

Let number of lower deck seats = y

Let number of upper deck seats = z

As per question statement:

x+y+z=10000 ...... (1)

Cost for box seat = $10

Cost for x box seats = 10x

Cost for lower deck seat = $8

Cost for y lower deck seats = 8y

Cost for lower deck seat = $5

Cost for z lower deck seats = 5z

As per question statement:

10x+8y+5z=70000 ..... (2)

z = 4x ..... (3)

Putting value of y in (1) and (2):

x+y+4x=10000\\\Rightarrow 5x+y=10000 ....... (4)

10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)

8 \times (4) - (5):

10x =10000

\Rightarrow x = 1000

By (3):

z = 4000

Now, by equation (1):

y = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

6 0
3 years ago
Using the image above, what is the measure of Angle J? Round to the nearest hundredth
Brilliant_brown [7]

Answer:

<u>∠J = 31.06°</u>

Step-by-step explanation:

Taking the inverse sin function :

  • sin ∠J = 1.6/3.1
  • J = sin⁻¹ (0.516)
  • <u>∠J = 31.06°</u>
5 0
1 year ago
Jordan and Baylor are baking cookies for the Holidays. Jordan is baking 29 dozen chocolate chip cookies and Baylor is baking 36
Lana71 [14]

Jordan and Baylor are going to have all together 780 cookies

<u>Solution:</u>

Jordan is baking 29 dozen chocolate chip cookies and Baylor is baking 36 dozen sugar cookies.  

We have to find how many cookies are they going to have all together?

Now,<em> total number of cookies = cookies made by Jordan + cookies made by Baylor  </em>

Total number of cookies = 29 dozens + 36 dozens  

Total number of cookies = 65 dozens

Total number of cookies = 65 x 12 per dozen

Total number of cookies = 780

Hence, they altogether have 780 cookies

4 0
3 years ago
I need help on this.​
ch4aika [34]

<em>The</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>6</em><em>.</em>

<em>Please</em><em> </em><em>see the </em><em>attached</em><em> </em><em>picture</em><em> </em><em>for</em><em> </em><em>full</em><em> </em><em>sol</em><em>ution</em><em>.</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

8 0
3 years ago
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