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AnnZ [28]
3 years ago
15

Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Mathematics
1 answer:
atroni [7]3 years ago
7 0

Answer:

HIIIIIIIIII HOW DO YOU DO??

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A bouncing ball reaches a height of 54 inches at its first peak, 36 inches at its second peak, and 24 inches at its third peak.
sesenic [268]

Answer:

f(x) = 54(two-thirds) Superscript x minus 1

Step-by-step explanation:

Given that:

First peak : 36 / 54=2/3

Second peak : 24 / 36 = 2/3

The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height

Modeling this using geometric progression :

An=a1r^(n-1)

An = nth term of a geometric progression

a1=first term

r=common ratio = 2/3

n = nth term

a1=54

Substituting into the above formular :

An=54(2/3)^(n-1)

4 0
2 years ago
Read 2 more answers
Which expressions are equivalent to log4 (1/4x^2),​
Vlada [557]

Step-by-step explanation:

2 log 4 (1/4i)

.....................

8 0
2 years ago
the volume of a cone is 62.28 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the
fiasKO [112]

Answer:

The radius of cone is: 3 inches

Step-by-step explanation:

4 0
2 years ago
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Find a such that the solution of y'' + y' − 2y = 0, y(0) = a, y' (0) = 1 tends to zero as t → +∞.
Kay [80]

Answer:

Step-by-step explanation:

y'' + y' − 2y = 0, y(0) = a, y' (0) = 1

Auxialary equation is

m^2+m-2=0\\m=-2,1

General solution is

y=Ae^{-2x} +Be^x

y(0) = A+B =a

y'(0) = -2Ae^{2x} +Be^x = -2A+B = 1

Eliminate B to get

3A =a-1

We know that y tends to 0 when x tends to infinity for any finite A

i.e. a should be a finite real number.

8 0
3 years ago
Not sure need help please​
aleksandrvk [35]
32/100 , sorry if it’s incorrect
7 0
3 years ago
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