Suppose a rocket is launched from a platform. The function h(t)= -4.9^2+200t+25 gives the rocket's height, h, in meters, in terms of time, t, in seconds. the function h(t) is equivalent to -4.9(t-20.41)^2+2,065.82. Identify the Vertex of the function h(t). Round to the nearest hundredth.
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step-by-step explanation:

step-by-step explanation:

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$6.42

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752