A baker is making bread rolls. He divides his dough into 8 equal pieces. He then cuts each one of these pieces into three, each
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Answer: Choice A
The fractions are not equivalent because the product of the numerator of the first fraction and the denominator of the second fraction is <u> 15 </u> , which is not equal to the product of the numerator of the second fraction and the denominator of the first fraction <u> 16 </u>
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Explanation:
We have the template which cross multiplies to
So if was true, then
must be true as well, and vice versa.
The left side 3*5 turns into 15, while the right hand side 4*4 becomes 16. The 15 and 16 don't match up.
In short, turns into
which is a false statement. So the original claim that
is also false.
Answer:
Step-by-step explanation:
Data:
r=4m
h=10m
w=? (3 m of water out top of the tank)
g=9.8m/s2
б=1000kg/m3
We must find the work necessary to move 3m of water from the top of the tank, so there is a differential (dy) that represents a small portion of volume for which it is integrated for the total volume to move then it would be the weight for the distance that is the volume to move
dw=weight*(10-y)dy, weight=б*V, , ⇒ weight=б*Vdy*g ⇒ dw=16πg(10-y)dy ⇒
evaluated between a and b, but a=10 and b=7 (last 3m of the full tank), finally
