On monday, mary had 23 bananas. On tuesday, her family ate half of them. On wednesday they ate half of the remaining bananas. If
1 answer:
Answer:
Friday.
Step-by-step explanation:
The number of bananas is reducing from 23 at a rate of 50% of the previous day's number.
Given that on Monday, Mary had 23 bananas and we are asked that on which day there will be only 1 banana will left.
Let after d days the remaining bananas will become one.
Therefore,
⇒
Taking log both sides we get
⇒ d = 4.523 days.
Therefore, on Friday the remaining number of bananas will become 1. (Answer)
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Answer:
8 bins filled completely; remaining rice fills ⅓ bin.
Step-by-step explanation:
It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for
.
In that case, you want to find the antiderivative,
Complete the square in the denominator:
Now substitute
, so that 
. Then
which simplifies to
Now, recall that
. But we want the substitution we made to be reversible, so that
which implies that
. (This is the range of the inverse sine function.)
Under these conditions, we have
, which lets us reduce 
. Finally,
and back-substituting to get this in terms of
yields
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for
In that case, you want to find the antiderivative,
Complete the square in the denominator:
Now substitute
which simplifies to
Now, recall that
which implies that
Under these conditions, we have
and back-substituting to get this in terms of