Answer:
Step-by-step explanation:
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lanation for a 7th grader
Working together, two ants named Aran and Beatrice can build an ant hill
in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice
and Charlie can build the ant hill in 15 hours. How long, in hours, will it
take to build the ant hill if Aran, Beatrice, and Charlie work together?
Working together, two ants named Aran and Beatrice can build an ant hill
in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice
and Charlie can build the ant hill in 15 hours. How long, in hours, will it
take to build the ant hill if Aran, Beatrice, and Charlie work together?
1 answer:
Answer:
They complete the hill in 8 hours
Step-by-step explanation:
We will need to solve these equations with a system of equations, so we need to isolate one variable in one of the equations and then replace it with another equation. After this, this means that Beatrice alone would construct the hill in 24 hours and Charlie 40. So, after finding the value A we will need to add A with B and C. This would get us . We will then divide
. This will leave with 8h.
A= 7/120h
C=1/40h
B= 1/24h
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I don't speak Romanian, but the closest translation for this suggests you're trying to compute
Integrate by parts:
where
u = ln(x)² ⇒ du = 2 ln(x)/x dx
dv = x³ dx ⇒ v = 1/4 x⁴
Integrate by parts again:
where
u' = ln(x) ⇒ du' = dx/x
dv' = x³ dx ⇒ v' = 1/4 x⁴
So, we have