Answer:
7.6 seconds
Step-by-step explanation:
To solve this problem we can use the following equation:
S = So + 113*t + at^2/2
Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.
In this problem, we have that S = 0, So = 65, Vo = 113 and a = -32 ft/s2 (The acceleration of gravity)
So we have that:
0 = 65 + 113t - 16t2
16t2 - 113t - 65 = 0
Using Bhaskara's formula, we have:
Delta = 113^2 + 4*65*16 = 16929
sqrt(Delta) = 130.11
t = (113 + 130.11) / (2*16) = 7.597 seconds
Rounding to nearest tenth, we have t = 7.6 seconds
Answer:
56
Step-by-step explanation:
Just substitute 7 for p in the expression 9p - 7: 9(7) - 7 = 56
Answer:
The explicit form f(n) is 
Step-by-step explanation:
A sequence is arithmetic if the difference between each consecutive terms is a constant.
The explicit formula of an arithmetic sequence is:
Where d is the common difference, a1 is the first term of the sequence and an is the nth term.
In order to obtain the common difference, you have to subtract two consecutive terms:
For the first and second terms:
2a+1 - a = a+1
For the second and third terms:
3a+2 - (2a+1)=
Applying the distributive property:
3a+2-2a-1= a+1
Notice that the difference of any two consecutive terms is the same. Therefore:
d=a+1
Also, a1=a (The first term)
Replacing in the explicit formula:
Put the given information into the formula and solve for the variable of interest.
.. V = π*r^2*h
.. 24 = π*(h/3)^2*h
.. 24 = π/9*h^3
.. 9*24/π = h^3
.. ∛(216/π) = h
.. h = (6/π)√(π^2) ≈ 4.097 . . . . units
The height of the cylinder is about 4.097 units.
Answer: y= -4x -24
Step-by-step explanation:
