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Illusion [34]
3 years ago
14

The height h in feet of the ball t seconds after it is kicked can be modeled by the function h = -4t (4t - 11). How long is the

football in the air?
Mathematics
1 answer:
Vaselesa [24]3 years ago
6 0

Answer:

t₁  = 2,75 sec

Step-by-step explanation:

The ball will get h maximum when  dh/dt ( its vertical component of the speed is equal to 0. At this moment the ball has flown half of the total flight time

Then

h(t)  = - 4t * ( 4*t - 11 )

h(t)  = - 16*t² + 44*t

Taking derivatives on both sides of the equation we get:

dh/dt  =  - 32*t  +  44

dh/dt  = 0     ⇒   -32*t  + 44 = 0

t  =  44/32     ⇒   t = 1,375 s

So twice this time

2*t   =  2 * 1.375

Total time t₁  = 2,75 sec

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The area of the window is 54 ft.². Find the dimensions in feet. Width is (2x-3)ft and length is x ft.
denis-greek [22]

Answer:

34

Step-by-step explanation:

because multiply 54 feet is what you get is 34

5 0
3 years ago
Which term best describes the expression 3x2y4 + 5x + 1?
notka56 [123]

Answer:

Trinomial.

Step-by-step explanation:

Note how much terms there are in the given expressions:

Term 1: 3x^{2}y^{4}\

Term 2: 5x

Term 3: 1

Note each meaning of the terms:

Monomial: Having only one term.

Binomial: Having two terms.

Trinomial: Having three terms.

Polynomial: Typically used to describe expressions with 4 or more terms.

In this case, there are only 3 terms, and so your answer is Trinomial.

~

5 0
2 years ago
Lisa Company uses the periodic inventory system to account for inventories. Information related to Lisa Company's inventory at O
scZoUnD [109]

Answer:

The value of ending inventory will be items of latest purchase.

Step-by-step explanation:

Given that,

Lisa Company uses the periodic inventory system to account for inventories.

Information related to Lisa Company's inventory at October 31 is given,

Suppose, find the value of ending inventory using the FIFO cost assumption if 500 units remains on hand at october 31

We need to calculate the value of ending inventory

Using FIFO method

value\ of\ ending\ inventory =305\ units\times\$10.6+195\ units\times\$11.60

value\ of\ ending\ inventory = 3233+2262

value\ of\ ending\ inventory =\$5495

Hence, The value of ending inventory will be items of latest purchase.

6 0
4 years ago
Laura just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in jus
svp [43]
So you have 85 pages and 10 days.
You would do 85/10 to get 8.5 pages each day. Hope that’s right !
5 0
2 years ago
A cylinder has a diameter of 24 inches. If its height is half its radlus, what is the volume of the cylinder in cubic Inches?
ella [17]

Answer:

about 2714.34 in^3

Step-by-step explanation:

24/2=12--radius

12/2=6--height

formula is V=(pi)(r^2)(h)

r is for radius and h is for height

V=(pi)(12*12)(6)

V=(pi)(144)(6)

V=(pi)(864)

V= about 2714.34 in^3

4 0
4 years ago
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