Christopher has a part-time job that pays $2,900 for the year. During the year 24% is taken out for Federal Taxes. At the end of
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Answer:
a =
Step-by-step explanation:
Given:
f(x) = log(x)
and,
f(kaa) = kf(a)
now applying the given function, we get
⇒ log(kaa) = k × log(a)
or
⇒ log(ka²) = k × log(a)
Now, we know the property of the log function that
log(AB) = log(A) + log(B)
and,
log(Aᵇ) = b × log(A)
Thus,
⇒ log(k) + log(a²) = k × log(a) (using log(AB) = log(A) + log(B) )
or
⇒ log(k) + 2log(a) = k × log(a) (using log(Aᵇ) = b × log(A) )
or
⇒ k × log(a) - 2log(a) = log(k)
or
⇒ log(a) × (k - 2) = log(k)
or
⇒ log(a) = (k - 2)⁻¹ × log(k)
or
⇒ log(a) = (using log(Aᵇ) = b × log(A) )
taking anti-log both sides
⇒ a =
we know that
acceleration due to gravity is 9.8m/s^2
so, we get
and acceleration will always be constant
we know that
integral of acceleration is velocity
so, we can integrate both sides
we are given
v(0)=35m/s
we can use it and find C
now, we can plug it back
we know that
integral of velocity is height
we can integrate it again
now, we have
s(0)=6
we can use it and find C
now, we can plug back C
and we get
.............Answer