Answer: 8.73 ft/s
Step-by-step explanation:
We have the following equation that models the motion of the rock:
Where 
is the height of the rock at a time 
.
Now, if 
we can find and then the velocity of the rock at that height:
Rearranging the equation:
Multiplying the equation by -1:
Solving with the quadratic formula 
, where 
, 
, 
.
Choosing the positive result of the equation:
Since velocity 
is defined as the traveled distance in a given time , we have:
This is the velocity of the rock at the height of 48 feet
Answer:
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Answer:
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Step-by-step explanation:
Answer:
Length = 5
Width = 21
Step-by-step explanation:
(x)(x + 16) = 105
x^2 + 16x = 105
x^2 + 16x - 105 = 0
(x - 5) x ( x + 21) = 0
x - 10 = 0
x = 5
x + 21 = 0
x = -21
Now that we have the zeroes.
We have to find the most viable one to put in.
Using -21 would not make sense, so we will use 5.
Plug it in:
x = 5
(5) (5 + 16) = 105
5 ( 21) = 105
An exponential function in mathematics is an exponential function is a function of the form where b is a positive real number, and in which the argument x occurs as an exponent. So its a function whose value is a constant raised to the power of the argument, especially the function where the constant is e.
