Acceleration is simplified by assuming it is the constant -g
a=-g we integrate this with respect to time to get v...
v=-gt+C where C is the initial velocity in this case 14ft/s so
v=-gt+14 integrate again to get the height function
h=(-gt^2)/2 +14t +C we are not given an initial height so C is 0
h(t)=14t-gt^2/2 letting g=32 and neatening up a bit...
h(t)=14t-16t^2
Answer:
9
Step-by-step explanation:
9
Answer:
B. f(g(x)) = 7x + 27
Step-by-step explanation:
We have, f(x) = 7x+13 and g(x) = x+2.
So, the function f(g(x)) is obtained by substituting the function g(x) = x+2 in f(x) = 7x+13,
i.e. f(g(x)) = f(x+2)
i.e. f(g(x)) = 7 × (x+2) + 13
i.e. f(g(x)) = 7x + 14 + 13
i.e. f(g(x)) = 7x + 27
Thus, f(g(x)) = 7x + 27
Hence, option B is correct.
Answer:
2, 6, 18, 54, 162
Step-by-step explanation:
In a geometric sequence, terms that are 2 terms apart (2nd & 4th, for example) have a ratio that is the 2nd power of the common ratio. Since 54/6 = 9 = 3², the common ratio is 3.
The first term will be the 2nd term divided by that ratio; the 5th term will be the 4th term multiplied by that ratio. You can figure the 3rd term any of several ways (and they should all give the same value): multiply the 2nd term, divide the 3rd term, or find the geometric mean of the 2nd & 4th terms: √(6·54) = 18.
Answer: D. 3/2
Step-by-step explanation:
