What is the answer to this question having trouble answering it
1 answer:
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Answer:
about 5.613 seconds
Step-by-step explanation:
Using the quadratic formula to find the value of t when h = 0, we have ...
at² +bt +c = 0
t = (-b±√(b²-4ac))/(2a)
t = (-72±√(72² -4(-16)(100)))/(2(-16))
t = (-72±√11584)/-32 = (9±√181)/4
Only the positive value of t is of interest.
The coin will hit the stream after (9+√181)/4 seconds ≈ 5.613 seconds.
Answer:
The inverse of the function h(x) is .
Step-by-step explanation:
The given function is
Replace h(x) by y.
Interchange x and y.
Subtract 4 from both sides to isolate variable y,
Multiply both sides by 2.
Divide both sides by 5.
Replace y by h⁻¹(x).
Therefore the inverse of the function h(x) is .
Since we are trying to find the number of sequences can be made <em>without repetition</em>, we are going to use a combination.
The formula for combinations is:
is the total number of elements in the set
is the number of those elements you are desiring
Since there are 10 total digits, in this scenario. Since we are choosing 6 digits of the 10 for our sequence,
in this scenario. Thus, we are trying to find
. This can be found as shown:
There are 210 total combinations.