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Marat540 [252]
1 year ago
15

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

h = −16t2 + 36t + 10. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
Mathematics
1 answer:
Aloiza [94]1 year ago
5 0

The ball's maximum height is 30.25 feet.

<h3>What is quadratic equation?</h3>

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.

Given:

h= -16t²+36t+10

Differentiate w.r.t. 't',

h' = -32t+36

When h=0, that will be the maximum height

32t= 36

t= 9/8

t= 1.125 sec.

So, The maximum height is

h(1.123)= -16(1.125)² + 36*1.125+10

h(1.125) = 30.25 feet.

Learn more about this concept here:

brainly.com/question/10335037

#SPJ1

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The perimeter of a rectangular pool is 180 yes. The length is 10yds more than the width. Find the length and the width of the po
White raven [17]

Answer:

Width: 85 yards

Length: 95 yards

Step-by-step explanation:

Ok, so we need to make an equation for this problem. Let's call the width, w. We know that the length is 10 more than the width, so we can call it w +10.

180 = w + w + 10

Now, i order to isolate the w's we need to subtract 10 from each side.

170 = 2w

Now, we just have to divide by 2 on both sides.

W = 85

So we now know that the width is 85 and because the length is 10 more, the length is 95 yds.

7 0
3 years ago
What is the value of fraction 1 over 3x3 + 5.2y when x = 3 and y = 2?
Slav-nsk [51]

Hello from MrBillDoesMath!

Answer:

1/ 91.4

Discussion:

Evaluate  1/ ( 3x^3 + 5.2y)   when x = 3, y = 2.

1/ (3 (3)^3 + 5.2(2))  =

1/ ( 3 * 27 + 10.4) =

1/ ( 81 + 10.4) =

1/ (91.4) =

.0109 (approx)

Thank you,

MrB

6 0
3 years ago
A histogram is better for _____________ data and a frequency polygon is better for ________data.
Ne4ueva [31]

A histogram is better for "discrete" data and a frequency polygon is better for "continuous" data.

<h3>What is histogram?</h3>

A histogram is a data representation that looks like a bar graph and buckets a wide range of categories into columns all along horizontal x-axis.

  • The numeric count or percentage of happenings in the data for every column is represented by the vertical y-axis.
  • Columns can be employed to visualize data distribution patterns.
  • Technical analysts use the MACD histogram in trading to making data in momentum.
  • The MACD histogram columns could provide buy and sell signals earlier than the MACD and signal lines.
<h3>What is frequency polygon?</h3>

Frequency polygons are a graphs depiction of the distribution that aids in data comprehension by utilizing a specific shape.

  • Frequency polygons are comparable to histograms but are more beneficial when comparing two or more different data sets.
  • The graph primarily displays cumulative frequency distribution data as a line graph.
  • Frequency Polygons are a type of graph that deciphers information or data and are broadly used in statistics.
  • This graphic form of data representation aids in the depiction of the data's shape and trend in a systematic and organized manner.

To know more about the histogram, here

brainly.com/question/2962546

#SPJ4

5 0
1 year ago
This problem is taken from the delightful book "Problems for Mathematicians, Young and Old" by Paul R. Halmos. Suppose that 681
aleksley [76]

Answer:

680 games

Step-by-step explanation:

Suppose that 681 tennis players want to play an elimination tournament.

1st round:

One of 681 players, chosen at random, sits out that round and 680 players play. There will be 340 winners plus one player which sits - 341 players for the next round and 340 games

2nd round:

There will be 170 winners plus one player which sits - 171 players for the next round and 170 games

3rd round:

There will be 85 winners plus one player which sits - 86 players for the next round and 85 games

4th round:

There will be 43 winners - 43 players for the next round and 43 games

5th round:

There will be 21 winners plus one player which sits - 22 players for the next round and 21 games

6th round:

There will be 11 winners  - 11 players for the next round and 11 games

7th round:

There will be 5 winners plus one player which sits - 6 players for the next round and 5 games

8th round:

There will be 3 winners  - 3 players for the next round and 3 games

9th round:

There will be 1 winner plus one player which sits - 2 players for the next round and 1 game

10th round - final:

1 champion and 1 game.

In total,

340 + 170 + 85 + 43 + 21 + 11 + 5 + 3 + 1 + 1 = 680 games

4 0
3 years ago
State the hypotenuse, opposite and
UkoKoshka [18]

Answer:

hypotenuse:2 (AB)

adjacent side: 1 (AD)

opposite side:√3(BD)

Step-by-step explanation:

-->AB is hypotenuse cuz it's opposite to right angle (90°)

-->AD is adjacent,cuz it's adjacent to reference angle(60°)

-->BD is opposite side,cuz it's opposite to the reference angle(60°)

✌️:)

4 0
3 years ago
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