First, let's figure out how long it takes him to eat one of his mother's pies. We do this by finding the number we multiply 1 1/2 to get 1, then we 45 minutes by the same number. We multiply 1 1/2 by 2/3 to get 1, so let's multiply 45 my 2/3rd. This is equal to 30 minutes. So, Paulo can eat one of his mother's pies in 30 minutes. From this information, it is clear that he can eat half a pie in 15 minutes.
Answer:
c,d?
Step-by-step explanation:
Answer:
The correct option is C.) half the measure 62°
Step-by-step explanation:
i) Intercepted arc measures 124°
ii) The measure of the inscribed angle will be half of the intercepted arc
therefore inscribed angle = 124° / 2 = 62°
iii) Therefore the correct option is C.) half the measure 62°
We are given the equation <span>an = (n^2/ sqrt(n^3+4n)) and asked to determine if the function is divergent or convergent. In this case, we find the limit of the function as n approaches infinity.
an = </span><span> (n^2/ sqrt(n^3+4n))
lim (n to infinity ) = infinity / infinty: ;indeterminate
Using L'hopitals rule, we derive
</span><span>lim (n to infinity ) = 2 n / 0.5* ( </span><span>n^3+4n) ^-0.5 * (3 n2 +4) : infinity / infinity
again, we derive
</span>lim (n to infinity ) = 2 (0.25) (( n^3+4n) ^-0.5))*(3 n2 +4) / 0.5* ( 6n + 4) :infinity / infinity
<span>
again,
</span>lim (n to infinity ) = 2 (0.25) (6n + 4) / 0.5* ( 6)* 0.5 <span>(( n^3+4n) ^-0.5))</span>
this goes on and the function is divergent
Answer:
0
Step-by-step explanation:
f(x) = √(x) + 12
g(x) = 2√(x)
(f-g)(x) = √(x) + 12 - 2√(x)
(f-g)(x) = 12 - √(x)
if x = 144
(f-g)(144) = 12 - √(144) = 12 - 12 = 0
