Answer:
A
Step-by-step explanation:
(25 - 10.81) - 1.38p = 10
p = package of peanuts
25 - 10.81 = 14.19
14.19 - 1.38p = 10
Subtract 14.19 from each side
10 - 14.19 = -4.19
-1.38p = -4.19
Divide both sides by -1.38
p = 3 (roughly, but because you can only buy the whole package, this is the amount you can buy)
He can buy a maximum of 3 packages of peanuts.
The weight is dropped from 4 feet above the surface. Add -12 to represent the distance the weight falls before it hits the bottom. 4+(-12)=8. The water is 8 feet deep.
(Prezi online)
The Second gear will complete 75 revolutions.
Hope this helps. I tried using my past knowledge.
Answer: If the dimension of V is n, then V has n elements.
Now, dim(U) + dim(W) = n, this means that the addition of the dimensions of U and W also has n elements.
and because U and W are subspaces of V, you know that every element on U and W is also an element of V.
If U ∩ W = ∅, means that there are no elements in common between U and W.
Because there are no elements in common, then Dim(U) + Dim(W) = dim(U ∪ W) = n
So U ∪ W has the same number of elements as V, and every element of W and U is also an element of V
this means that U ∪ W = V.
