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noname [10]
3 years ago
8

a fountain that is 5 feet tall sprays water into the air withan upward velocity of 22ft/s. What function gives the height h of t

he water in feet t seconds after it is sprayed upward? what is the maximum height of the water
Mathematics
1 answer:
Aleks04 [339]3 years ago
8 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

Below is the solution:

<span>Equation:
h(t) = -16t^2+22t+5

</span><span>Max occurs when t = -b/2a = -22/(2*-16) = 11/16 seconds

</span><span>Max height = h(11/16) = 12.563 ft.</span>

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there are 6 married couples at a party. at the start of the party every person shakes hands once with every other pserson except
mestny [16]

Answer:

60 hand shakes.

Step-by-step explanation:

We have been given that there are 6 married couples at a party.

This means there are 12 people in total.

We know that number of handshakes for n people is given by formula \frac{n(n-1)}{2}.

We are also told that at the start of the party every person shakes hands once with every other person except his or her spouse.

So formula for this problem would be \frac{n(n-1-1)}{2} or \frac{n(n-2)}{2}.

Since total numbers of people is party is 12, so we will get:

\frac{12(12-2)}{2}

6*10

60

Therefore, there will be 60 hand shakes at the party.

4 0
3 years ago
If a1=47 and d=-5 find a12
kkurt [141]
The answer is 564 :)
6 0
3 years ago
Can someone help me with number 10? Thank you.
sp2606 [1]

Answer:

  • east 95 km
  • south 89 km

Step-by-step explanation:

SOH CAH TOA can remind you of the relationships between triangle measures. The distance east is the side of the right triangle that is opposite the angle, so is related to the hypotenuse (ship's travel distance) by the sine function.

  sin(43°) = (travel distance)/(distance east)

So, ...

  (distance east) = (travel distance)·sin(43°)

Likewise, the cosine function can be used to find the distance south.

Then we have ...

  east = (130 km)sin(43°) ≈ 95 km

  south = (130 km)cos(43°) ≈ 89 km

6 0
3 years ago
Identify the correct slope and y intercept of the equation 2x + 4y = 12.
sertanlavr [38]

The standard form of a line is an easy way to solve for the properties of a line, such as slope and the intercepts. Take a line with the equation in standard form,

Ax + By = C

The slope here is given by y = -A/B.
The x-intercept here is given by (C/A, 0).
The y-intercept here is given by (0, C/B).

For this problem, the equation is 2x + 4y = 12. Thus,
slope = -2/4 = -1/2
y-intercept = (0, 12/4) = (0, 3)


7 0
3 years ago
Kaitlynn needs 3 pounds of fruit for a salad.
gizmo_the_mogwai [7]
If you mean .34 lbs and .13lbs, she would need 2.53
If you meant .34 and 1.3 lbs , she would need 1.36
If actually mean 34 lbs and 13lbs , Kaitlynn has way more than 3 lbs
7 0
2 years ago
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