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Zanzabum
2 years ago
5

The "hang time" of a football is the amount of time the football stays in the air after being kicked. Zara kicks a football, and

the height (in meters) of the football above the ground at ttt seconds is shown in the graph below. Complete the following sentences based on the graph of the function. This is the graph of a function. The hang time of the football is second(s). The football reaches its maximum height when t=\:t=t, equals second(s). The maximum height is about meter(s). (Round your answer to the nearest whole meter.) For ttt between t=0t=0t, equals, 0 and t=1.5t=1.5t, equals, 1, point, 5, the height is .
Mathematics
1 answer:
FrozenT [24]2 years ago
3 0

Answer:

Step-by-step explanation:

The graph is a nonlinear graph.

The hang time is 3 seconds.

The h- coordinate of the top of the bump is about 11 m, so the maximum height is 11 m after rounding to the nearest meter.

For t between 0 and 1.5, the height is increasing.

I hope this helps.  I found  it on Khan Academy.

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The function f(x) = xπ−−√ gives the diameter, in inches, of a proposed spherical sculpture with a surface area of x square inche
natka813 [3]

Answer:

The average rate of change of f(x) = 3.14 inches⁻¹

The change in f(x) = 49.32 in

Step-by-step explanation:

The surface area of the spherical sculpture = x and its diameter f(x) = πx.

The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14

Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx  

dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²

df(x) = π × 15.7 = 49.32 in

3 0
2 years ago
3 ½ times as many guests arrived as were expected. If 105 guests were unexpected, how many guests were expected ?
lara [203]
Let x be the expected number Number arriving = 3•5 x Unexpected number 2•5 x 2•5 x = 105 10x = 420 x = 42______Option D
8 0
2 years ago
hree TAs are grading a final exam. There are a total of 60 exams to grade. (a) How many ways are there to distribute the exams a
nalin [4]

Answer:

a. 205320

b. 34220

c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!

Step-by-step explanation:

a) The number of ways to dustribute exams among the TA's is:

n / (n - r)!

n= number of things to choose from

r= Choosing r number

60P3= 60! / (60 - 3)!

(60)(59)(58)(57)! / (57)!

=205320

B) The number of ways to dustribute the exams among the TA's is:

n! /(n - r)! r!

60C3= 60! /(60 - 3)! 3!

= 60!/ 57! 3!

= 60 × 59 × 58 / 3 × 2 × 1

= 34220

C) The required number of ways is:

60C25 + 60C20 + 60C15

= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!

6 0
2 years ago
The combined average weight of an okapi and a llama is 450450450 kilograms. The average weight of 333 llamas is 190190190 kilogr
notsponge [240]
First of all, lets consider that you made a litte mistake and you meant this problem.........

<span>"The combined average weight of an okapi and a llama is 450 kilograms. The average weight of 3 llamas is 190 kilograms more than the average weight of one okapi. On average, how much does an okapi weigh, and how much does a llama weigh?"

This is a system of two equations.

Let it be X the average weight of a LLAMA
And Y the average weight of an OKAPI

X + Y = 450 kg   1)
3X = 190 kg +Y   2)

So, with 1) we have that  Y = 450 - X
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3X = 190 + (450 -X).............We solve for X ....==> 4X = 640kg ==> X = 160kg

..We replace X in 1 and get => Y = 450kg -X = 450kg -160kg = 290kg


</span>160kg....... average weight of a LLAMA
290kg........average weight of an OKAPI
3 0
2 years ago
Read 2 more answers
The circle will be dilated by a scale factor of 6. What is the value for n if the expression nPI represents the circumference of
IgorLugansk [536]
A dilation by a scale factor of 6 will cause the radius to increase by a factor of 6. So r_{new} = 6r. If we plug this value of r into the formula for the circumference of a circle we get C = 2\pi r_{new} = 2\pi *6r = 12\pi r

So basically N = 12r. You haven't given me any original radius, so I can't give you a constant for N, but if you do have that original radius you can just plug that into 12r.

Based on your comment, N = 12 * 9 = 108 inches
8 0
2 years ago
Read 2 more answers
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