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Westkost [7]
3 years ago
5

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 + 9.
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
2 answers:
nirvana33 [79]3 years ago
7 0

Answer:

After 5 seconds (c)

Step-by-step explanation:

FinnZ [79.3K]3 years ago
6 0

Answer:

The ball reaches a height of 29.25 ft after 1.125 seconds

Step-by-step explanation:

The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.

-b/2a

-(36)/2(-16)

-36/-32

1.125 seconds

Now to find the height, we input that value in for t

h = -16t^2 + 36t + 9

h = -16(1.125)^2 + 26(1.125) + 9

29.25 feet

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The number of oranges purchased varies directly as the price of the oranges. If 11 oranges cost $2.35, what is the cost of 18 or
lara31 [8.8K]

Answer:

If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

Step-by-step explanation:

We have,

The number of oranges purchased varies directly as the price of the oranges.

If the cost of 11 oranges is $2.35.

It is required to find the cost of 18 oranges.

As their is direct relation between number and oranges and price.

So,

The cost of 1 orange is $\dfrac{2.35}{11}.

For finding the cost of 18 oranges, multiply 18 by $\dfrac{2.35}{11} such that,

C=18\times \dfrac{2.35}{11}\\\\C=3.84

So, If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

4 0
2 years ago
What is the area of the kite below.
valentina_108 [34]

Answer:

girll how is this college math im in 8th grade and n learned this in 1st grade loll

Step-by-step explanation:

its 15 m I THINK DONT TAKE MY WORD ON IT but tytyty for the points

5 0
3 years ago
1
Marianna [84]

Answer:

  B. {16, 19, 20}

Step-by-step explanation:

The <em>triangle inequality</em> requires for any sides a, b, c you must have ...

  a + b > c

  b + c > a

  c + a > b

The net result of those requirements are ...

  • the sum of the two shortest sides must be greater than the longest side
  • the length of the third side lies between the difference and sum of the other two sides

__

If we look at the offered side length choices, we see ...

  A: 8+11 = 19 . . . not > 19; not a triangle

  B: 16+19 = 35 > 20; could be a triangle

  C: 3+4 = 7 . . . not > 8; not a triangle

  D: 5+5 = 10 . . . not > 11; not a triangle

The side lengths {16, 19, 20} could represent the sides of a triangle.

_____

<em>Additional comment</em>

The version of triangle inequality shown above ensures that a triangle will have non-zero area.

The alternative version of the triangle inequality uses ≥ instead of >. Triangles where a+b=c will look like a line segment--they will have zero area. Many authors disallow this case. (If it were allowed, then {8, 11, 19} would also be a "triangle.")

4 0
2 years ago
Joshua delivered 30 hives to the local fruit farm. If the farmer has paid to use 5% of the total number of Joshua's hives, how m
IrinaVladis [17]
Joshua delivered 30 hives to the local fruit farm.

If the farmer has paid to use 5% of the total number of Joshua's hives.

So 30 hives is 5% of the total number of hives.

5% of hives = 30

1% of hives = 30 ÷ 5 = 6

100% of hives = 6 × 100 = 600

Thus, Joshua had 600 hives before selling.

Now, he has = 600 - 30 = 570 hives.

Now, Joshua has 570 hives.
4 0
2 years ago
Read 2 more answers
What is the height of 840mm³.
Rus_ich [418]

Answer:

What?

Step-by-step explanation:

Possible answers could be

the factors of 840

IF the 840 is your area.

Factors of 840 which are your answers:

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420.

7 0
2 years ago
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